Answer:
[tex]t=\frac{2941-2944}{\frac{12}{\sqrt{25}}}=-1.250[/tex]
The degrees of freedom are given by:
[tex]df=n-1=25-1=24[/tex]
The p value would be given by:
[tex]p_v =2*P(t_{24}<-1.250)=0.223[/tex]
Since the p value is higher than 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 2944 mm
Step-by-step explanation:
Information provided
[tex]\bar X=2941[/tex] represent the sample mean
[tex]s=12[/tex] represent the standard deviation
[tex]n=25[/tex] sample size
[tex]\mu_o =2944[/tex] represent the value to test
[tex]\alpha=0.1[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to test if the true mean for this case is equal to 2944 mm, the system of hypothesis would be:
Null hypothesis:[tex]\mu = 2944[/tex]
Alternative hypothesis:[tex]\mu \neq 2944[/tex]
The statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{2941-2944}{\frac{12}{\sqrt{25}}}=-1.250[/tex]
The degrees of freedom are given by:
[tex]df=n-1=25-1=24[/tex]
The p value would be given by:
[tex]p_v =2*P(t_{24}<-1.250)=0.223[/tex]
Since the p value is higher than 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 2944 mm
What is 1/3 divided by 3
Answer:
1/9 or 0.11
Step-by-step explanation:
1/3 divided by 3
= 1/3 / 3
= 1/3 / 3/1
= 1/3 x 1/3 (the rule is a/b / c/d = a/b * d/c)
= 1/9 or 0.11(1 continues repeating for ever so just make it 0.11)
A right rectangular prism has a base area of 20 cm² and a height of 9.2 cm.
What the volume of the prism?
Answer:
184 cm³
Step-by-step explanation:
Volume= base*height
V= 20 cm²*9.2 cm= 184 cm³
Answer:184 cm³
Step-by-step explanation: I took the test a while ago
The circle is centered at the origin and the length of its radius is three. What is the circles equation
Answer:
x^2 + y^2 = 3^2
Step-by-step explanation:
Use the standard equation of a circle with center at (h, k) and radius r:
(x - 0)^2 + (y - k)^2 = 3^2, or
x^2 + y^2 = 3^2
Solve the triangle if B=78º and a=41. Round to the nearest tenth
Answer:
c = 197.2
b = 192.9
Angle C = 90°
Angle A = 12°
Step-by-step explanation:
the side a = 41 and the angle B = 78°, we can use a sine and a tangent to find the hypotenuse and the other side.
Using a sine, cosine, or tangent depends on which side and angle you know.
sin A =opposite/hypotenuse = a/c
Cos B = adjacent/hypotenuse = a/c
Cos78 = 41/c
c = 41/Cos 78
c = 41/0.2079
c = 197.21
c = 197.2
Since it is a right angle triangle, let's apply Pythagoras theorem to find the other side.
Hypotenuse ² = opposite ² + adjacent²
c² = a² + b²
197.2² = 41² + b²
b² = 197.2² - 41²
b² = 38887.84 - 1681
b² = 37206.84
b =√37206.84
b = 192.89
b = 192.9
Angle C = 90°
Angle A = 180-(90 +78)
(sum of angles in a triangle =180°)
Angle A = 180-168
Angle A = 12°
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on
the wall of the rod is 45 cm from the wall and 15 cm from the light.
Answer:
48 cm
Step-by-step explanation:
Given:
Distance of rod from the wall = 45 cm
Distance of rod from the light = 15 cm
Length of rod = 12 cm
We can see that <DAM and <BAF are equal
Also, <DMA and <BFM are equal because they are corresponding angles
To find the length of the shadow, let's take the equation
[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]
Where.:
DM = ½ of length of the rod = ½*12 = 6
A.F = 15 + 45 = 60 cm
AM = 15 cm
Therefore,
[tex] \frac{DM}{BF} = \frac{AM}{A.F} [/tex]
[tex]= \frac{6}{BF} = \frac{15}{60} [/tex]
Cross multiplying, we have:
15 * B.F = 60 * 6
15 * B.F = 360
[tex]BF = \frac{360}{15}[/tex]
BF = 24 cm
The shadow on the wall =
2 * BF
= 2 * 24
= 48 cm
The shadow on the wall is 48 cm
You borrow $A at an interest rate of r% (per month) and pay it off over t months by making monthly payments of P = g(A, r, t) dollars. Suppose you plan to borrow $ 4000 with a monthly interest rate of 2 % for 12 months. In financial terms, what do the following statements tell you?
a. gA (8000, 2, 12) = 0.045
b. gr (8000, 2, 12) = 44.79
the ratio of bicycles to to cars is 2:7 respectively. If the total number of vehicles are 63, how many bicycles are there?
Answer:
49 cars and 14 bikes
Step-by-step explanation:
we know [tex]7^{2}[/tex] is 49. 7 × 7 = 49
to match that, 7 × 2 = 14
14 plus 49 is 63
Which number produces a rational number when multiplied by 0.5
Answer:
Step-by-step explanation:B is a rational number and therefore when added to 0.5 produces another rational number, 0.75.
Which statement about the temperatures −13.4°C and −13.2°C is true?
-13.4°C>−13.2°C because −13.2°C is older than −13.4°C.
−13.4°C<−13.2°C because −13.2°C is colder than −13.4°C.
−13.4°C<−13.2°C because −13.2°C is warmer than −13.4°C.
−13.4°C>−13.2°C because −13.2°C is warmer than −13.4°C.
Answer:
I think "−13.4°C<−13.2°C because −13.2°C is warmer than −13.4°C" is the right answer
help asap !! will get branliest.
Answer:
0.8
Step-by-step explanation:
(2 x 10^-4)
= 0.0002
(4x10^3)
= 4000
0.0002 x 4000 = 0.8
In a cookie jar, 1/5 of the cookies are chocolate chip and 1/2 or the rest a peanut butter. What fraction of all the cookies is peanut butter?
Answer:
If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5. Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.
hope it helps!!!!! :]
How long would it take Belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?
Answer:
it takes approximately 11 years and 3 months (11.4 years) for Belinda's investments to double.
Step-by-step explanation:
To calculate the time it takes for Belinda's money to double, we will use the simple interest formula as shown below:
Simple interest = P × R × T
where:
P = principal = $800
R = Rate in decimal = 8.75% = 0.0875
T = time = ???
simple interest = $800 ( her money doubles)
∴ 800 = 800 × 0.0875 × t
800 = 70 × t
∴ t = 800 ÷ 70 = 11.4 years. (11 years and 3 months)
Therefore after approximately 11 years and 3 months, Belinda's investments doubles
Answer:
8.23
how long would it take belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT
Answer:
Step-by-step explanation:
1. 30 plants
the rest were confusing sorry
A Poker club has 10 members. A president and a vice-president are to be selected. In how many ways can this be done if everyone is eligible?
Answer:
90 different ways
Step-by-step explanation:
We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.
To solve this problem, we need to calculate a permutation of 10 choose 2.
The formula for a permutation of n choose p is:
[tex]P(n, p) = n! / (n - p)![/tex]
So we have:
[tex]P(10, 2) = 10! / (10 - 2)![/tex]
[tex]P(10, 2) = 10! / 8![/tex]
[tex]P(10, 2) = 10*9 = 90[/tex]
So there are 90 different ways of choosing a president and a vice-president.
Question 4
Evelyn packed this box with 1-inch cubes. Which expression does NOT
show how Evelyn can find the volume of the box?
6 x 6
2 x 3 x 6
height
2 + 3 + 6
6 + 6 + 6 + 6 + 6 + 6
width
length
Answer:
432
Step-by-step explanation:
Volume is equal to the length*width*height that is 6*6*2*3*6(basically multiply them all in simple terms)=432
Answer:
2 + 3+ 6
Step-by-step explanation:
You are supposed to multiply the length, width, and height not add it.
Y is directly proportional to the square root of p h=5.4 when p=1.44 find h when p= 2.89
Answer:
I dont know what the answer is exactly
What’s the correct answer for this?
Answer:
20
Step-by-step explanation:
Since chord AB and DE are at equal length from the centre, they are equal in length.
AB = DE
3x-7 = 5(x-5)
3x-7 = 5x-25
-7+25 = 5x -3x
18 = 2x
Dividing both side by 2
x = 9
Now
AB = 3(9)-7
= 27 -7
= 20
A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main seats for $ 30 comma and balcony seats for $ 20. If all the seats are sold, the gross revenue to the theater is $ 23 comma 200. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000. How many are there of each kind of seat?
orchestra seats: main seats: balcony seats:
Answer:
orchestra seats: main seats: balcony seats: 160: 400: 240
Step-by-step explanation:
Let number of orchestra seats = x
Let number of main seats = y
Let number of balcony seats = z
As per given statement, total seats are 800
[tex]x +y+z=800 ..... (1)[/tex]
Sales price of each orchestra seat = $40
Sales price of each main seat = $30
Sales price of each balcony seat = $20
If all the seats are sold, total revenue is $23200.
[tex]\Rightarrow 40x + 30y+20z=23200 ...... (2)[/tex]
If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.
[tex]\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)[/tex]
Here, we have 3 variables and 3 equations. Let us solve them.
Subtracting Equation (3) from equation (2):
[tex]\Rightarrow 20x = 3200\\\Rightarrow x = 160[/tex]
Putting value of x in equations (1) and (2):
Equation (1)
[tex]\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)[/tex]
Equation (2)
[tex]\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)[/tex]
Equation (5) - 2 [tex]\times[/tex] Equation(4):
[tex]\Rightarrow y =400[/tex]
Putting value of y in equation (4):
[tex]400 +z = 640\\\Rightarrow z =240[/tex]
Hence, answer is:
orchestra seats: main seats: balcony seats: 160: 400: 240
Help people like mE out
Solution,
radius=10 cm
Circumference of circle=2 pi r
=2*3.142*10
=62.84 cm
hope it helps
Good luck on your assignment
2. Lupe put $11,500 in a certificate of deposit that gained simple interest at a rate of 6.7%. How much interest
did the account gain after 5 months?
Answer:
321
Step-by-step explanation:
Principal amount = $11,500
Simple interest = 6.7%
time :5 months
as simple interest is calculated for a year, time needs to be calculated in years
12 months comprises 1 year
1 month is equivalent to 1/12 years
thus, 5 month is equivalent to (1/12)* 5 years
time in years = 5/12
Simple interest is calculated by formula
SI = p*r*t/100
where SI is simple interest earned
p is principle amount
r is rate of interest
t is time in years
substituting the value of p, r and t in the formula for SI, we have
SI = (11500*6.7*5)\12*100 = 321.04
interest,the account gained after 5 months is 321.
Round to the nearest cent
$1.6845
Answer:
$1.68
Step-by-step explanation:
Remember that cents are in the hundredths place. So think of it as rounding to the nearest hundredth place. 1.6845 ---> 1.68
Answer:
$1.68
Step-by-step explanation:
old rhyme i learnt when i was little but it helps with rounding:
5 or more let it soar, 4 or less let it rest
With a cupon you can buy up to 6 medium pizzas at 8$ each. What is the domain of this graph ?
Answer:
x=1, 2, 3, 4, 5, 6
Step-by-step explanation:
Let's use logic. You can not have negative pizzas, and I assume you can not have decimals of pizzas.
That means that with the coupon you can only buy whole pizzas up to 6.
So the domain or x is1, 2, 3, 4, 5, 6
A phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call. Which numerical expression can be used to find the cost of a 20-minute phone call? How much does the 20-minute phone call cost?HURRY FIRST ONE GETS BRAINLIEST
Answer:
$0.45+19*$0.35= $7.1
Step-by-step explanation:
first minute= $0.45
subsequent minutes= $0.35
cost per 20 min= $0.45+19*$0.35= $7.1
cost per x min= 0.45+(x-1)*0.35= 0.35x +0.10
Answer:
Step-by✔ 0.45 + 0.35(19)
✔ $7.10
The sum of three consecutive natural numbers is 939, find the numbers. The three numbers in increasing order are _______, ________, and _________
Answer:
312, 313, and 314
Step-by-step explanation:
Since the three numbers are consecutive, each one is one larger than the last. Therefore, we can express them as x, (x+1), and (x+2). Therefore:
[tex]x+(x+1)+(x+2)=939 \\\\3x+3=939 \\\\3x=936\\\\x=312\\\\x+1=313\\\\x+2=314[/tex]
Hope this helps!
The box plots summarize the data for heights of players on a national
basketball team and a national volleyball team.
Basketball
Volleyball
72 73 74 75 76
77
78
79
Which conclusion can you draw from the displays
one!
O
On average, there is a wide spread of heights of
O
basketball players are shorter than these volleyball pla
O
basketball players have the same height as these
On average
players.
On averag
tball players are taller than these volleyb
(Diagram of the box plots is attached below)
Options:
A. 75% of the volleyball players’ heights are equal to or greater than the median basketball players’ heights
B. 75% of the volleyball players’ heights are equal to or greater than the median basketball players’ heights
C. 25% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights
D. 75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights
Answer:
D. 75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights
Step-by-step Explanation:
Based on the box plots given in the diagram attached below, the median height of volleyball players is 79.
Also, from the data set of basketball players, we can approximately infer that the heights from Q2, Q3, and Q4 make up 75% of the data set of the heights of basketball players.
Heights at Q2 in the data set of basketball players starts from 79, which is equal to the median height of volleyball players.
Therefore, from the displays, we can conclude that "75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights".
Please help! Correct answer only, please! Consider the matrix shown below: Find the determinant of the matrix C. Group of answer choices A. -14 B. 14 C. -22 D. The determinant cannot be found for a matrix with these dimensions.
Answer:
Hello There Again. The correct answer 14.
Explanation: Because you need to do Multpliy 2 and 4 and then add again 8 and 6 to get 14 2x4=8+6=14.
Hope It Helps! :)
Answer:
Well, I think the the right answer is 14. Because, 2 x 8 + 6 - 4 - 5 + 1= 14
Hope This Helps!!~
Good Luck!~
The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.In what range would you expect to find the middle 68% of most pregnancies
Answer:
The range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].
Step-by-step explanation:
We are given that the lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.
Let X = lengths of pregnancies in a small rural village
SO, X ~ Normal([tex]\mu=262,\sigma^{2} = 17^{2}[/tex])
Here, [tex]\mu[/tex] = population mean = 262 days
[tex]\sigma[/tex] = standard deviation = 17 days
Now, the 68-95-99.7 rule states that;
68% of the data values lies within one standard deviation points.95% of the data values lies within two standard deviation points.99.7% of the data values lies within three standard deviation points.So, middle 68% of most pregnancies is represented through the range of within one standard deviation points, that is;
[ [tex]\mu -\sigma[/tex] , [tex]\mu + \sigma[/tex] ] = [262 - 17 , 262 + 17]
= [245 days , 279 days]
Hence, the range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].
Plssss answerrr the question is ez
Answer:
yes, the birdhouse has a surface area of 210 inches while the plywood has 1152 inches of surface area
yes the birdhouse is 210 inches while the wood is 1152
A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were: At the .02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.
Answer:
We conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.
Step-by-step explanation:
The complete question is: A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were:
Number sampled: 1,000 (republican) , 800 (democrats)
Number in favor: 200 (republican) , 168 (democrats)
At the 0.02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.
Let [tex]p_1[/tex] = proportion of Republicans in favor of lowering the standards.
[tex]p_2[/tex] = proportion of Democrats in favor of lowering the standards.
SO, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1 \geq p_2[/tex] {means that there is an equal or larger proportion of Republicans in favor of lowering the standards}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1 < p_2[/tex] {means that there is a larger proportion of Democrats in favor of lowering the standards}
The test statistics that would be used here Two-sample z-test for proportions;
T.S. = [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] ~ N(0,1)
where, [tex]\hat p_1[/tex] = sample proportion of Republicans in favor of lowering the standards = [tex]\frac{200}{1000}[/tex] = 0.20
[tex]\hat p_2[/tex] = sample proportion of Democrats in favor of lowering the standards = [tex]\frac{168}{800}[/tex] = 0.21
[tex]n_1[/tex] = sample of Republicans = 1000
[tex]n_2[/tex] = sample of Democrats = 800
So, the test statistics = [tex]\frac{(0.20-0.21)-(0)}{\sqrt{\frac{0.20(1-0.20)}{1000}+\frac{0.21(1-0.21)}{800} } }[/tex]
= -0.52
The value of z test statistics is -0.52.
Now, P-value of the test statistics is given by the following formula;
P-value = P(Z < -0.52) = 1 - P(Z [tex]\leq[/tex] 0.52)
= 1 - 0.6985 = 0.3015
Now, at 0.02 significance level, the z table gives a critical value of -2.054 for left-tailed test.
Since our test statistic is more than the critical value of z as -0.52 > -2.054, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.
What is the index when x^2/3 is rewritten as a radical expression?
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x^{2} }[/tex] written as a radical expression
The radical is the symbol that is used to represent the root in the expression n√x. The index in the given expression x^(2/3) when rewritten as a radical expression is 3.
What is a radical?The radical is the symbol that is used to represent the root in the expression n√x.
Given the expression [tex]x^{\frac23}[/tex], which can be rewritten in the form of radical as,
[tex]x^{\frac23}\\\\[/tex]
[tex]= x^{2 \times \frac13}\\\\[/tex]
Using the law of exponent, [tex]a^{\frac1x} = \sqrt[x]{a}[/tex], then we can write,
[tex]= \sqrt[3]{x^2}[/tex]
Now, in the given expression 3 is an index, x² is the radicand and the symbol √ is known as the radical.
Hence, the index in the given expression x^(2/3) when rewritten as a radical expression is 3.
Learn more about the Radical here:
https://brainly.com/question/1369233
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