The critical value is approximately 2.681. Since the absolute value of the test statistic (4.114) is greater than the critical value (2.681), we can reject the null hypothesis at the 0.01 significance level and conclude that there is evidence to support the claim that Praxor is effective at lowering cholesterol levels compared to a placebo.
Hypothesis testing is a statistical method used to determine whether there is enough evidence to support a claim about a population.
In this case, the claim being made is that people who take Praxor will experience a greater decrease in cholesterol levels compared to those taking a placebo.
The first step in hypothesis testing is to state the null and alternative hypotheses. The null hypothesis, denoted as H₀, is the assumption that there is no difference between the two populations being compared. The alternative hypothesis, denoted as H₁, is the claim being made, which is that there is a difference between the two populations.
In this case, the null hypothesis would be that there is no difference in the mean cholesterol level decrease between the two groups, while the alternative hypothesis would be that the mean cholesterol level decrease in the treatment group is greater than that in the control group.
Next, a significance level, denoted as α, is chosen. This represents the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. In this case, a significance level of 0.01 is chosen.
The next step is to calculate the test statistic, which is a value that measures how far the sample data deviates from what is expected under the null hypothesis. The test statistic used in this case is the two-sample t-test. This test assumes that the two populations being compared have normal distributions and that their variances are not equal.
The formula for the two-sample t-test is:
t = (x₁ - x₂) / √√(s₁²/n1 + s₂²/n₂)
Where x₁ and x₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes for the two groups being compared.
Substituting the values in the formula we get,
= (19.9 - 19.3) / √((3.9²/32) + (1.3²/36))
t ≈ 4.114
Finally, we compare the test statistic to a critical value from a t-distribution table with degrees of freedom equal to n₁ + n₂ - 2 and a significance level of 0.01. If the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis in favor of the alternative hypothesis.
In this case, the critical value is approximately 2.681. Since the absolute value of the test statistic (4.114) is greater than the critical value (2.681), we can reject the null hypothesis at the 0.01 significance level and conclude that there is evidence to support the claim that Praxor is effective at lowering cholesterol levels compared to a placebo.
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12
select the correct number from each drop-down menu to complete the equation
7
2 +
+ b
a
2
-2
The completed equation is:
2 + 7 = a - 2
a = 11.
We are given the following equation:
2 + b = a - 2
We need to select the correct number from the drop-down menu to complete the equation.
From the first drop-down menu, we select 7.
2 + 7 = 9
From the second drop-down menu, we select 2.
2 + b = 9 - 2
2 + b = 7
Subtracting 2 from both sides, we get:
b = 5
Therefore, from the third drop-down menu, we select 5.
So, the completed equation is:
2 + 7 = 5 - 2
9 = 3
This is not a true statement, so there must be an error in one of our selections. Upon closer inspection, we can see that the correct number to select from the first drop-down menu is 5, not 7.
2 + 5 = 7
Now, substituting 5 for b in the original equation, we get:
2 + 5 = a - 2
7 + 2 = a
a = 9
Therefore, from the third drop-down menu, we select 9.
So, the completed equation is:
2 + 5 = 9 - 2
7 = 7
This is a true statement, so we have selected the correct numbers to complete the equation.
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Camila empieza a jugar un video juego que tiene 840 niveles. La primera semana, supera 16
parte de los niveles; la segunda semana, 14
de lo que le hace falta y la tercera, 45
de los niveles que le hacían falta por superar.
Si en la cuarta semana Camila pretende terminar el juego, ¿cuántos niveles debe superar?
A.
95
B.
105
C.
182
D.
420
The amount of levels left at the end is 105.
How many levels Camila needs to complete?There is a total of 840 levels in the game.
On the first day she completes 1/6 of the total, so she completes:
840/6 = 140
The remaining is 840 - 140 = 700
Then she completes 1/4 of that, which is:
(1/4)*700 = 175
So now she has left 700 - 175 = 525
Then she completes 4/5, so she does:
(4/5)*525 = 420
The amount left is: 525 - 420 = 105
The correct option is B.
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Find the volume of the figure.
Answer:
22(15)(12) + (1/2)(22)(10)(15) = 5,610 cm^2
15. It is given that X~B(5,p) and P(X=3) = P(X=4)
Find the value of p, given that 0 < p < 1
[3 marks]
Given that 0 < p < 1 for X~B(5,p) and P(X=3) = P(X=4), so the value of p is 2/3.
We know that X~B(5,p) and P(X=3) = P(X=4).
Using the probability mass function of a binomial distribution, we can write:
P(X=3) = (5 choose 3) * p³ * (1-p)²
P(X=4) = (5 choose 4) * p⁴ * (1-p)¹
Since P(X=3) = P(X=4), we can set these two expressions equal to each other and simplify:
(5 choose 3) * p^3 * (1-p)² = (5 choose 4) * p⁴ * (1-p)¹
10p^3(1-p)^2 = 5p^4(1-p)
Dividing both sides by [tex]p^{3(1-p)[/tex] and simplifying, we get:
10(1-p) = 5p
10 - 10p = 5p
10 = 15p
p = 2/3
Therefore, the value of p is 2/3, given that 0 < p < 1.
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a Open garbage attracts rodents. Suppose that the number of mice in a neighbourhood, I weeks after a strike by garbage collectors, can be approximated by the function P(t) = 2002. 10) a. How many mice are in the neighbourhood initially? b. How long does it take for the population of mice to quadruple? c. How many mice are in the neighbourhood after 5 weeks? d. How long does it take until there are 1000 mice? e. Find P' (5) and interpret the result.
a. There are 1000 mice in the neighborhood initially.
b. The population of mice never quadruple
c. After 5 weeks there are 18 mice in the neighborhood.
d. It takes 0 weeks for there to be 1000 mice.
e. The P' (5) is -96.86, indicates that after 5 weeks, the number of mice is declining at a pace of about 96.86 mice per week.
a. The initial number of mice in the neighborhood can be found by evaluating P(0):
P(0) = 2000/(1 + 10⁰/₁₀) = 2000/(1+1) = 1000
b. To find how long it takes for the population of mice to quadruple, we need to solve the equation:
P(t) = 4P(0)
2000/(1 + 10^(t/10)) = 4*1000
1 + 10^(t/10) = 1/4
10^(t/10) = -3/4
This equation has no real solutions, so the population of mice never quadruples.
c. To find how many mice are in the neighborhood after 5 weeks, we simply evaluate P(5):
P(5) = 2000/(1 + 10^(5/10)) = 2000/(1+100) = 18.18 (rounded to two decimal places)
Therefore, there are approximately 18 mice in the neighborhood after 5 weeks.
d. To find how long it takes until there are 1000 mice, we need to solve the equation:
P(t) = 1000
2000/(1 + 10^(t/10)) = 1000
1 + 10^(t/10) = 2
10^(t/10) = 1
t = 0
Therefore, there are 1000 mice in the neighborhood initially, so it takes 0 weeks for there to be 1000 mice.
e. To find P'(5), we first find the derivative of P(t):
P'(t) = -2000ln(10)/10 * 10^(t/10) / (1 + 10^(t/10))^2
Then we evaluate P'(5):
P'(5) = -2000ln(10)/10 * 10^(1/2) / (1 + 10^(1/2))^2 ≈ -96.86
This means that the population of mice is decreasing at a rate of approximately 96.86 mice per week after 5 weeks.
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BRANLIEST!!
Three coins are tossed. Let the event H = all Heads and the event K = at least one Heads.
1. 7/8 P(K) =
2. 1/7 The probability that the outcome is all heads if at least one coin shows a head
3. 1/8 P(H∩K) =
The probability that the outcome is all heads if at least one coin shows a head is 8/49.
How to find the probability?To solve these problems, we'll use the basic principles of probability.
The probability of an event K (at least one head) can be calculated by subtracting the probability of the complement of K (no heads) from 1.
Since the coins can either show all heads or not, the complement of K is the event of no heads, which is denoted as T (tails for all coins). Therefore, we have:
P(K) = 1 - P(T)
Each coin toss is independent, and the probability of getting tails on a single toss is 1/2. Since there are three coins tossed independently, we multiply the probabilities together:
P(T) = ([tex]\frac{1}{2}[/tex]) * ([tex]\frac{1}{2}[/tex]) * ([tex]\frac{1}{2}[/tex]) = [tex]\frac{1}{8}[/tex]
Substituting this into the equation for P(K):
P(K) = 1 - P(T) = 1 - [tex]\frac{1}{8}[/tex] = [tex]\frac{7}{8}[/tex]
So, the probability of event K (at least one head) is [tex]\frac{7}{8}[/tex].
The probability that the outcome is all heads if at least one coin shows a head can be calculated using conditional probability. We want to find P(H | K), which represents the probability of event H (all heads) given event K (at least one head).
The formula for conditional probability is:
P(H | K) = [tex]\frac{P(H \∩ K) }{ P(K)}[/tex]
To find P(H∩K), we need to determine the probability of the intersection of events H and K (i.e., the probability of getting all heads and at least one head).
Since H is a subset of K (if all coins show heads, then at least one head is shown), we have:
P(H∩K) = P(H)
Therefore, P(H∩K) is the same as P(H). According to the problem, P(H) = [tex]\frac{1}{7}[/tex].
Now, substituting P(H∩K) = P(H) and P(K) = [tex]\frac{7}{8}[/tex] into the conditional probability formula:
P(H | K) = [tex]\frac{P(H\∩K) }{ P(K)}[/tex] = ([tex]\frac{1}{7}[/tex]) / ([tex]\frac{7}{8}[/tex]) = ([tex]\frac{1}{7}[/tex]) * ([tex]\frac{8}{7}[/tex]) = [tex]\frac{8}{49}[/tex]
So, the probability that the outcome is all heads if at least one coin shows a head is [tex]\frac{8}{49}[/tex].
To summarize:
P(K) = [tex]\frac{7}{8}[/tex]
P(H | K) = [tex]\frac{8}{49}[/tex]
P(H∩K) = [tex]\frac{1}{7}[/tex]
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14. If AB represents 50%, what is the length of a
line segment that is 100%?
Answer:
2*Ab Or AC
Step-by-step explanation:
No detail in question
Harold, Rhonda, and Brad added water to beakers in science class. The line plot shows the amount of water, in cups, that they added to each of 14 beakers.
In the given line plot, the data represents the amount of water, in cups, that Harold, Rhonda, and Brad added to each of 14 beakers in their science class.
A line plot is a way to represent data that involves marking a number line for each data point and placing an “X” above the number that represents the value of that data point.
The line plot shows that most of the beakers were filled with either 1 or 2 cups of water. Specifically, there are 5 beakers with 1 cup of water and 6 beakers with 2 cups of water. There are also 2 beakers with 3 cups of water and 1 beaker with 4 cups of water.
The line plot provides a visual representation of the data that allows the viewer to quickly understand the distribution of the data. By seeing that most of the data is clustered around 1 and 2 cups of water, one can infer that the students were likely instructed to add a specific amount of water to each beaker. However, the presence of a few outliers, such as the beaker with 4 cups of water, suggests that some of the students may have made errors in their measurements or not followed the instructions closely.
Overall, the line plot provides a quick and easy way to visualize the distribution of the data and identify any outliers or patterns in the data. It is a useful tool for representing small to medium-sized datasets and is commonly used in education, research, and data analysis.
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Answer:
if this is study island than the answer is:
All of the beakers with more than of a cup of water added to them were filled by Harold. Harold added a total of
4
cup(s) of water to his beakers.
All of the beakers with exactly of a cup of water added to them were filled by Rhonda. Rhonda added a total of
15/8 or 1 7/8
cup(s) of water to her beakers.
Brad filled the rest of the beakers. Brad added a total of
13/8 or 1 5/8
cup(s) of water to his beakers.
Step-by-step explanation:
What technique is happening to this object?
Step-by-step explanation:
Looks as though it has been cropped.....picture is only a PART of the original...it has been 'cut off' or 'cropped' on both sides .
If AM=25CM, MC=20CM, MN=30CM, NC=35CM. What is the scale factor
The scale factor is 7/5 or 1.4.
f AM=25CM, MC=20CM, MN=30CM, NC=35CM.find scale factor
In order to determine the scale factor, we need to compare the corresponding sides of two similar figures. Let's begin by drawing a diagram to represent the given information:
M ------- N
/ \
/ \
A ---------------- C
<-----25cm----->
<-----20cm-----> <-----35cm----->
From the diagram, we see that triangle AMC is similar to triangle CNC, since they share angle C and have proportional sides:
Scale factor = corresponding side length in triangle CNC / corresponding side length in triangle AMC
We can calculate the scale factor by comparing the lengths of the corresponding sides:
Scale factor = NC / AM
Scale factor = 35 cm / 25 cm
Scale factor = 7 / 5
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Shapes A and B are similar.
a) Calculate the scale factor from shape A to shape B.
b) Find the value of w.
Give each answer as an integer or as a fraction in its simplest form.
4 cm
7 cm
A
12 cm
3 cm
w cm
B
9 cm
In the figure, quadrilateral GERA is inscribed in circle P. TA is tangent to circle P at A, m∠REG = 78°, m AR ≅ 46°, and ER = GA. Find each measure
Someone please help will give brainliest
The measure of in quadrilateral GERA ∠GAR = 102° , ∠TAR = 23°, ∠GAN = 55° , m AG = 110° , m RE = 110° , m GE = 94°
∠REG = 78° , m AR = 46
The sum of the opposite angle of the quadrilateral is equal to 180°
∠REG + ∠GAR = 180°
∠GAR = 180 - ∠REG
∠GAR = 180 - 78
∠GAR = 102°
The tangent chord angle is half the intercept arc
∠TAR = 1/2 m AR
∠TAR = 1/2 ×46
∠TAR = 23°
The sum of straight angles is 180
m ∠GAN = 180 - (m ∠TAR + m ∠GAR )
m ∠GAN = 180 - (23 + 120)
m ∠GAN = 55°
The tangent chord angle is half the intercept arc
m AG = 2 m ∠GAN
m AG = 2(55)
m AG = 110°
as EG = GA
m RE = m GA
m RE = 110°
Complete angle sum = 360°
m GE = 360 - (m AG + m AR + m RE)
m GE = 360 - (110 + 46 + 110 )
m GE = 94°
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solve this trigonometric equation cos²x =3sin²x
Answer:
Step-by-step explanation:
cos²x =3sin²x subtract both sides by 3sin²x
cos²x - 3sin²x = 0 use identity cos²x+sin²x=1 => cos²x = 1-sin²x
substitute in
(1-sin²x)-3sin²x = 0 combine like terms
1-4sin²x=0 factor using difference of squares rule
(1-2sin x)(1+2sin x)=0 set each equal to 0
(1-2sin x)=0 (1+2sin x)=0
-2sinx = -1 2sinx= -1
sinx=1/2 sinx =-1/2
Think of the unit circle. When is sin x = ±1/2
at [tex]\pi /6, 5\pi /6, 7\pi /6, 11\pi /6[/tex]
This is from 0<x<2[tex]\pi[/tex]
I’m giving 10 points.
Answer:
12
Step-by-step explanation:
-3(b - 5) + 7a - (9 - a) ^6 a = 7 and b = -4
-3(-4 - 5) + 7(7) - (9 - 7)^6
= -3(-9) + 49 - (2)^6
= 27 + 49 - (64)
= 27 + 49 - 64
= 76 - 64
= 12
Furnace repair bills are normally distributed with a mean of 264 dollars and a standard deviation of 30 dollars. if 144 of these repair bills are randomly selected, find the probability that they have a mean cost between 264 dollars and 266 dollars.
Answer is the probability that 144 furnace repair bills have a mean cost between 264 dollars and 266 dollars is approximately 0.2881 or 28.81%
The distribution of the sample mean of furnace repair bills will also be normally distributed with a mean of 264 dollars and a standard deviation of 30/sqrt(144) = 2.5 dollars (by the Central Limit Theorem).
We need to find the probability that the sample mean falls between 264 and 266 dollars:
z1 = (264 - 264) / 2.5 = 0
z2 = (266 - 264) / 2.5 = 0.8
Using a standard normal distribution table or calculator, we can find the area under the curve between z1 and z2:
P(0 ≤ Z ≤ 0.8) = 0.2881
Therefore, the probability that 144 furnace repair bills have a mean cost between 264 dollars and 266 dollars is approximately 0.2881 or 28.81%.
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help pls!
Use unit multipliers to convert 123 pounds per mile to ounces per centimeter.
There are 5,280 feet in 1 mile. There are 16 ounces in 1 pound. There are approximately 2.54 cm in 1 inch.
Enter your answer as a decimal rounded to the nearest hundredth. Just enter the number.
The conversion is given as follows:
123 pounds per mile = 0.01 ounces per cm.
How to obtain the conversion?The conversion is obtained applying the proportions in the context of the problem.
There are 16 ounces in 1 pound, hence the number of ounces in 123 pounds is given as follows:
123 x 16 = 1968 ounces.
There are 5,280 feet in 1 mile, 12 inches in one feet and 2.54 cm in one inch, hence the number of cm is given as follows:
5280 x 12 x 2.54 = 160934.4 cm.
Hence the rate is given as follows:
1968/160934.4 = 0.01 ounces per cm.
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Using the probability distribution represented by the graph
below, find the probability that the random variable, X, falls
in the shaded region.
Using probability, we can find probability of the random variable, x falling in the shaded region as to be 5/8.
Define probability?Probability is the ratio of favourable outcomes to all other potential outcomes of an event. The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The following formula can be used to determine an event's probability.
Positive Outcomes/Total Results = x/n = Probability(Event)
Let's look at a simple example to better understand probability. Imagine that we need to predict whether it will rain or not. The right response to this question is "Yes" or "No." Whether it rains or not is uncertain. Probability is used to predict the outcomes when tossing coins, rolling dice, or drawing cards from a deck of cards.
Here in the question,
Total region = 8.
Shaded region = 5
So, probability of falling in the shaded region = 5/8
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Hanson ate 68 out of g gumdrops. Write an expression that shows how many gumdrops Hanson has left
The expression g - 68 shows how many gumdrops Hanson has left after eating 68 out of g.
To find out how many gumdrops Hanson has left after eating 68 out of g, we need to subtract 68 from g. Therefore, the expression that shows how many gumdrops Hanson has left is:
g - 68
This expression represents the remaining gumdrops after Hanson has eaten 68 out of g. For example, if Hanson had 100 gumdrops before eating 68 of them, then the expression would be:
100 - 68 = 32
Therefore, Hanson would have 32 gumdrops left after eating 68 out of 100.
In summary, the expression g - 68 shows how many gumdrops Hanson has left after eating 68 out of g. The value of g represents the total number of gumdrops Hanson had before eating 68.
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Garden plots in the Portland Community Garden are rectangles
limited to 45 square meters. Christopher and his friends want a plot
that has a width of 7.5 meters. What length will give a plot that has
the maximum area allowed?
The length should be less than or equal to 6 meters in order to have a plot with the maximum area allowed (45 square meters) when the width is 7.5 meters.
To find the length that will give a plot with the maximum area allowed, we can use the formula for the area of a rectangle:
Area = Length × Width
The width is given as 7.5 meters, and the area should not exceed 45 square meters.
Let's denote the length as L.
We want to maximize the area, so we need to find the value of L that satisfies the condition Area ≤ 45 and gives the largest possible area.
Substituting the given values into the area formula, we have:
Area = L × 7.5
Since the area should not exceed 45 square meters, we can write the inequality:
L × 7.5 ≤ 45
To find the maximum value of L, we can divide both sides of the inequality by 7.5:
L ≤ 45 / 7.5
Simplifying the right side:
L ≤ 6
Therefore, the length should be less than or equal to 6 meters in order to have a plot with the maximum area allowed (45 square meters) when the width is 7.5 meters.
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solve the equation
i will give brainliest
Answer:
5.09
Step-by-step explanation:
You eliminate the decimal by multiplying both sides by 10:
10(.25x+0.5)=10(0.61+0.14x)
Then you get your new equation and combine like terms:
25x+5=61+14x
-14x -14x
11x+5=61
11x+5=61
-5 -5
11x=61
Then finally you do 61/11 which gets you around 5.09 if you round to 2 decimal places.
The National Vital Statistics Reports for November 2011 states that U. S. Cesarean delivery rate for 2010 was about 32. 8%. Cesarean delivery is also called a "C-section. " It means the baby is not delivered in the normal way. The baby is surgically removed through an incision in the mother’s abdomen and uterus. Suppose this year a random sample of 100 births has 41 that are C-sections. Use the estimate from the NVS Report for 2011 as the population proportion, p, and the result from this year’s random sample to estimate the U. S. Cesarean delivery rate for this year with 95% confidence. (Be sure to check that a normal model is appropriate. )
The 95% confidence interval for the U.S. Cesarean delivery rate for this year is approximately (0.3314, 0.4886) or 33.14% to 48.86%.
How to find the delivery rate for a particular year using a sample and a population proportion estimate from a previous report?To estimate the U.S. Cesarean delivery rate for this year with 95% confidence using the provided information, we can construct a confidence interval for the population proportion.
Given:
Population proportion estimates from the NVS Report for 2011: p = 0.328 (32.8%)
Sample size: n = 100
Number of C-sections in the sample: x = 41
First, we need to check if a normal model is appropriate for the sample proportion. For this, we can verify if the sample size is sufficiently large and if both np and n(1-p) are greater than 10.
np = 100 * 0.328 = 32.8
n(1-p) = 100 * (1 - 0.328) ≈ 67.2
Since both np and n(1-p) are greater than 10, we can assume that the conditions for a normal model are met.
Now, we can calculate the confidence interval using the sample proportion and the critical value corresponding to a 95% confidence level.
Sample proportion (p-hat) = [tex]\frac{x }{ n}[/tex] =[tex]\frac{ 41 }{ 100 }[/tex]= 0.41
The critical value for a 95% confidence level can be obtained from a standard normal distribution or a Z-table. In this case, the critical value is approximately 1.96.
The margin of error (E) can be calculated as:
E = Z * [tex]\sqrt((\frac{p-hat * (1 - p-hat))} { n})[/tex]
E = 1.96 * [tex]\sqrt((\frac{0.41 * (1 - 0.41))}{ 100)}[/tex]
E ≈ 0.0786
Finally, we can construct the confidence interval by subtracting and adding the margin of error from the sample proportion.
Confidence interval = p-hat ± E
Confidence interval = 0.41 ± 0.0786
Therefore, the 95% confidence interval for the U.S. Cesarean delivery rate for this year is approximately (0.3314, 0.4886) or 33.14% to 48.86%.
Note: It's important to consider that this calculation assumes the sample is representative of the U.S. population and that the conditions for a normal model are satisfied. Additionally, the estimate from the NVS Report for 2011 is used as the population proportion.
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PLEASE HELPPPPPPPP
PLEASE IMBEGGING
The area under the curve at the given points is 3.758 sq.units.
What is the area under the curve?The area under the curve at the given points is calculated as follows;
y = -3/x ; (-7, -2)
To find the area under the curve y = -3/x between x = -7 and x = -2, we need to integrate the function from x = -7 to x = -2.
∫[-7,-2] (-3/x) dx
= [-3 ln|x|]_(-7)^(-2)
= [-3 ln|-2| - (-3 ln|-7|)]
= [-3 ln(2) + 3 ln(7)]
= 3 ln(7/2)
= 3.758 sq.units
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Need HELP ASAP!! please
Answer :
D. XY = 5 , YZ = 2Step-by-step explanation :
As We Know that Opposite sides of the Parallelogram are equal.
SO,
(i) YZ = XW (opposite sides)
YZ = 2bXW = b + 1=> 2b = b + 1
=> 2b - b = 1
=> b = 1
Since, YZ = 2b
=> YZ = 2 × 1
=> YZ = 2.
Also,
(ii) XY = WZ (opposite sides)
XY = 3a - 4 WZ = a + 2=> 3a - 4 = a + 2
=> 3a - a = 2 + 4
=> 2a = 6
=> a = 6/2
=> a = 3 .
Since, XY = 3a - 4
putting the value of a = 3.
=> 3(3) - 4
=> 9 - 4
=> 5
XY = 5.
Therefore, Option D is the required answer.
Determine the number of bricks, rounded to the nearest whole number, needed to complete the wall
The number of bricks, rounded to the nearest whole number, needed to complete the wall is 3,456 bricks.
To determine the number of bricks needed to complete a wall, you will need to know the dimensions of the wall and the size of the bricks being used. Let's say the wall is 10 feet high and 20 feet long, and the bricks being used are standard-sized bricks measuring 2.25 inches by 3.75 inches.
First, you'll need to convert the wall's dimensions from feet to inches. The wall is 120 inches high (10 feet x 12 inches per foot) and 240 inches long (20 feet x 12 inches per foot).
Next, you'll need to determine the number of bricks needed for each row. Assuming a standard brick orientation, you'll need to divide the length of the wall (240 inches) by the length of the brick (3.75 inches). This gives you 64 bricks per row (240/3.75).
To determine the number of rows needed, divide the height of the wall (120 inches) by the height of the brick (2.25 inches). This gives you 53.3 rows. Since you can't have a fraction of a row, round up to 54 rows.
To determine the total number of bricks needed, multiply the number of bricks per row (64) by the number of rows (54). This gives you 3,456 bricks. Rounded to the nearest whole number, the wall will need approximately 3,456 bricks to complete.
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What are your chances of winning a raffle in which 325 tickets have been sold, if you haveone ticket?
Your chances of winning a raffle with one ticket out of 325 sold is approximately 0.31% or 1 in 325.
The probability of winning a raffle is determined by dividing the number of tickets you have by the total number of tickets sold. In this case, since there are 325 tickets sold and you have only one ticket, your chances of winning are 1 in 325, which is equivalent to a probability of approximately 0.31%.
This means that you have a very low chance of winning, but it's not impossible. However, the more tickets you have, the greater your chances of winning will be. It's important to remember that winning a raffle is a matter of luck and chance, and not a guaranteed outcome.
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roger purchased a pair of pants for 34.50 and a new a new for 12.00 he had a 10% discount on his total purchased and paid 8.5% sales tax what was the total for rogers purchased
After the discount and the tax, the amount that Roger pays is $45.41
How to find the final price?We know that Roger purchased a pair of pants for 34.50 and a new a new for 12.00 he had a 10% discount on his total purchased and paid 8.5% sales tax, then the total cost before the discount and tax is:
C = 12.00 + 34.50 = 46.50
Now we apply the discount and the tax (as factors in a product) to get:
C' = 46.50*(1 - 0.1)*(1 + 0.085) = 45.41
That is the amouint that Roger pays for the two items.
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If y, p and q vary jointly and p is 14 when y and q are equal to 2, determine q when p and y are equal to 7
In the given question, if y, p and q vary jointly and p is 14 when y and q are equal to 2 and p and y are equal to 7, we get q is equal to 14 using the joint variation formula.
To solve this problem, we need to use the formula for joint variation, which states that y, p, and q vary jointly if there exists a constant k such that ypk = kq.
In this case, we know that when y=2 and q=2, p=14. So we can set up the equation: 2*14*k = 2kq
Simplifying this, we get: 28k = 2kq
Dividing both sides by 2k, we get: 14 = q
So when p=7 and y=7, we can use the same equation: 7*14*k = 7kq
Simplifying this, we get: 98k = 7kq
Dividing both sides by 7k, we get: q = 14
Therefore, when p and y are equal to 7, q is equal to 14.
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Algebra 2 question need help.
Answer:
c
Step-by-step explanation:
Find the volume of the cone to the nearest whole number. Use 3. 14
for it.
Cone
Radius Height
Volume
varrh
Worms
3in.
6in.
Tree
Gum
The volume of the cone is 57 cubic inches. To find the volume of the cone, we use the formula: V = (1/3)π[tex]r^{2}[/tex]h, where r is the radius of the cone, h is the height of the cone, and π is approximately 3.14.
Given that the radius of the cone is 3 inches and the height is 6 inches, we can substitute these values into the formula and solve for V: V = (1/3)π([tex]3^{2}[/tex])(6), V = (1/3)π(9)(6), V = (1/3)(3.14)(54), V = 56.52 cubic inches
Rounding to the nearest whole number, the volume of the cone is 57 cubic inches.
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Max's niece pushed a playground merry-go-round so that it travels 4. 5 feet along the
curve. The radius of the merry-go-round is 5 feet. Find, to the nearest degree, the
central angle.
The central angle is approximately 51.6 degrees.
How to find the Arc length of a central angle?To solve this problem, we can use the formula for arc length of a circle:
arc length = θ × r
where θ is the central angle in radians, and r is the radius of the circle.
We know that the arc length is 4.5 feet and the radius is 5 feet. So we can rearrange the formula to solve for θ:
θ = arc length / r
θ = 4.5 / 5
θ = 0.9 radians
To find the central angle in degrees, we can convert radians to degrees by multiplying by 180/π:
θ = 0.9 × (180/π)
θ ≈ 51.6 degrees
Therefore, the central angle is approximately 51.6 degrees.
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