Answer: P = 0.28
Step-by-step explanation:
If we pick it at random, the probability of selecting each tile must be equal. this means that the probability of picking a tile of a giving color is equal to the number of the tiles of that color divided the total number of tiles.
We have 14 beige tiles and 20 + 14 + 16 = 50 tiles in total.
Then the probability of piking a beige tile is:
P = 14/50 = 0.28
Eric’s average income for the first 4 months of the year is $1,450.25, what must be his
average income for the remaining 8 months so that his average income for the year is
$1,780.75?
Answer:
Average income of Eric for the remaining 8 months = [tex]\$1946[/tex]
Step-by-step explanation:
Given: Average income of Eric for the first 4 months of the year is equal to $1,450.25
To find: average income for the remaining 8 months so that his average income for the year is $1,780.75
Solution:
Average income = Total income for the year/Total number of months
Average income of Eric for the first 4 months = $1,450.25
So,
Total income of Eric for the first 4 months = 1,450.25 × 4 = 5801
Let x denotes total income of Eric for the remaining 8 months
Total income for the year = 5801 + x
Therefore,
Average income for the year = [tex]\frac{5801+x}{12}[/tex]
Also, average income for the year is $1,780.75
[tex]1780.75=\frac{5801+x}{12}\\1780.75\times 12=5801+x\\21369=5801+x\\21369-5801=x\\15568=x[/tex]
Total income of Eric for the remaining 8 months = $15568
Average income of Eric for the remaining 8 months = [tex]\frac{15568}{8}=\$1946[/tex]
A ball is thrown straight up from a cliff. The function f(x) = –4.9t2 + 17t + 19 describes the height of the ball, in meters, as a function of time, t, in seconds. What is the maximum height of the ball? At what time is that height reached? Round your answers to 1 decimal place.
Maximum height:
__ meters
Time:
__ seconds
Answer:
Maximum height: 33.7 meters
Time: 1.7 seconds
Step-by-step explanation:
Suppose we have a quadratic equation in the following format:
[tex]f(t) = at^{2} + bt + c[/tex]
In a is negative, the maximum point of the function happens at the time of
[tex]t_{v} = -\frac{b}{2a}[/tex]
And it's value is: [tex]f(t_{v})[/tex]
In this question:
[tex]f(t) = -4.9t^{2} + 17t + 19[/tex]
So [tex]a = -4.9, b = 17, c = 19[/tex]
The time of the maximum height is:
[tex]t_{v} = -\frac{b}{2a} = -\frac{17}{2*(-4.9)} = 1.7[/tex]
The maximum height is:
[tex]f(1.7) = -4.9*(1.7)^{2} + 17*1.7 + 19 = 33.7[/tex]
Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school. What is the mean of the sampling distribution of the proportion of the students who prefer later start times for school
Answer:
The mean of sampling distribution of the proportion of the students who prefer later start times for school
μₓ = p = 0.63
Step-by-step explanation:
Explanation:-
Given sample size 'n' =200
given data Of the 200 students surveyed at the local high school, 126 say that they prefer earlier start times for school
sample proportion
[tex]p = \frac{x}{n} = \frac{126}{200} = 0.63[/tex]
The mean of sampling distribution of the proportion of the students who prefer later start times for school
μₓ = p = 0.63
Standard deviation of the proportion
[tex]S.D = \sqrt{\frac{p(1-p)}{n} } = \sqrt{\frac{0.63(1-0.63)}{200} } = 0.034[/tex]
What is the solution of the equation x2 + 8x = 4?
Answer:
hope this is correct
The function f(x) = –StartRoot x EndRoot is represented by the graph. What is the range of the given function? {y | all real numbers} {y | y ≤ 0} {y | y ≥ 0}
Answer:
{y | y ≤ 0}
Step-by-step explanation:
The vertical extent of the graph is all values of y less than or equal to zero:
{y | y ≤ 0}
Answer: {y | y ≤ 0}
Step-by-step explanation: It is the correct answer <3 have an amazing day.
what is 9 1/2 x 1/4? i just need it for a math question on study island.
Answer:
[tex]2 \frac{3}{8} [/tex]
Step-by-step explanation:
[tex]9 \frac{1}{2} \times \frac{1}{4} \\ \frac{19}{2} \times \frac{1}{4} \\ = \frac{19}{8} \\ = 2 \frac{3}{8} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
2 3/8
Hope this helps :)
The product of a number and 18 is -378. what does that mean or what's the equation
Answer:
Hope this helps you to solve it
The publishers of a business magazine are running sales promotions for the weekly magazine. The number of prospective customers a sales representative sees per day varies 1 to 40. If the sales representative is able to her 20% of the prospective customers to subscribe, the maximum expected number of subscriptions per week is .if the sales representative earns $3 per subscription in addition to daily wages, the minimum expected value of the extra income per week is .
Answer:
the maximum expected number of subscriptions per week is
34 subscriptionsthe minimum expected value of the extra income per week is
$94.20Step-by-step explanation:
number of sales visits per day 1 - 40
success rate in closing sales 20%
total visits per week:
week 1 = 20 + 22 + 27 + 17 + 31 + 12 + 39 = 168week 2 = 26 + 13 + 30 + 18 + 24 + 14 + 32 = 157week 3 = 21 + 12 + 22 + 37 + 30 + 23 + 18 = 163week 4 = 15 + 33 + 10 + 28 + 34 + 24 + 22 = 166week 5 = 11 + 33 + 21 + 32 + 26 + 19 + 22 = 164week 6 = 19 + 27 + 20 + 18 + 31 + 14 + 37 = 166week 7 = 29 + 22 + 27 + 30 + 16 + 9 + 36 = 159week 8 = 8 + 28 + 19 + 28 + 25 + 36 + 26 = 170estimated sales per week:
week 1 = 168 x 20% = 33.6week 2 = 157 x 20% = 31.4week 3 = 163 x 20% = 32.6week 4 = 166 x 20% = 33.2week 5 = 164 x 20% = 32.8week 6 = 166 x 20% = 33..2week 7 = 159 x 20% = 31.8week 8 = 170 x 20% = 34extra income per week:
week 1 = 33.6 x $3 = $100.80week 2 = 31.4 x $3 = $94.20week 3 = 32.6 x $3 = $97.80week 4 = 33.2 x $3 = $99.60week 5 = 32.8 x $3 = $98.40week 6 = 33.2 x $3 = $99.60week 7 = 31.8 x $3 = $95.40week 8 = 34 x $3 = $102Answer: subscriptions per week: 34
Extra income per week: $94.20
Step-by-step explanation: I got this right on Edmentum
Which phrase best describe the translation from the graphy y=(x+2)² to the graph of y=x²+3
Answer:
2 units right
3 units up
Step-by-step explanation:
the graph y=(x+2)² is the parent function y=x^2 translated 2 units left
the graph y=x²+3 is the parent function y=x^2 translated 3 units up
so, the translation from y=(x+2)² to y=x²+3 is:
2 units right (to get to zero)
3 units up
(you can change the order if you want, it doesn't really matter here)
What are the values of a and b? Select one: a. a equals 18 comma space b equals 4 square root of 5 b. a equals 64 comma space b equals 80 c. a equals 8 comma space b equals 4 square root of 5 d. a equals 8 comma space b equals 8 square root of 5
Answer:
a is a value of 5 and b is is equal to 9
Step-by-step explanation:
all you have to do is get 16 and 4 by them self and take them out, and find the remaining numbers
Answer: a = 8, b = [tex]4\sqrt{5}[/tex]
Twenty percent of what number is equal to five percent of 680
Answer:
170
Step-by-step explanation:
5/100 ×680
=34
20%=34what about 100%=?
(100×34)÷20
170
Twenty percent of 170 is equal to five percent of 680.
What is percentage?The term ‘per cent’ means ‘out of a hundred’. In mathematics, percentages are used like fractions and decimals, as ways to describe parts of a whole. When you are using percentages, the whole is considered to be made up of a hundred equal parts. The symbol % is used to show that a number is a percentage.
Let the number be x
According to question:
20% of x = 5% of 680
[tex]\frac{20}{100}[/tex] x = [tex]\frac{5}{100}[/tex] × 680
20 x = 5 × 680
x = 170
Hence, Twenty percent of 170 is equal to five percent of 680.
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Find the slope of a line perpendicular to the line whose equation is 2y − 6x = 4.
Answer:
- 1/3
Step-by-step explanation:
2y - 6x = 4
y - 3x = 2
y = 3x + 2
Slope of the given line = 3.
Slope of the perpendicular line is negative reciprocal = - 1/3.
what divided by 2 equals 6.5
Answer:
hope this helps, take care and stay safe
Step-by-step explanation:
you can do this by timing 6.5 by 2 which = 13. if you get stuck on questions like this, do the rewind effect, that is when you do the opposite of the question, which is what i did above, you can check this in 2 ways, on a calculator (if of course you are allow) or do the question again by using what you have work out, so 13 divide by 2 = 6.5.
The number 13 is divided by 2 to give the number 6.5.
Used the concept of divide which states that,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
To find the number that is divided by 2 to give the number 6.5
Let us assume that the number = x
Hence, it can be written as,
x ÷ 2 = 6.5
x/2 = 6.5
Multiply both sides 2;
x = 2 × 6.5
x = 13
Therefore, the number of the given condition is 13.
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9(5r-2) and 14r-7 yes or no to tell if this expression is equivalent or not
Answer:
No instead of doing multiplication u did division
Step-by-step explanation:
This equation is called distributive property where u multiply the answer from the outside by the inside number
Verify that (AUB)’=A’n B’
Assuming [tex]A'[/tex] denotes the complement of the set [tex]A[/tex], i.e. all elements in the universal set that do not belong to [tex]A[/tex], then we can prove this in general.
To establish equality between two sets, you need to show that they are both subsets of one another.
Prove [tex](A\cup B)'\subseteq A'\cap B'[/tex]:Let [tex]x\in(A\cup B)'[/tex].
By definition of set complement, this means [tex]x\not\in A\cup B[/tex].
By definition of set union, [tex]x\not\in A[/tex] and [tex]x\not\in B[/tex].
By definition of complement, [tex]x\in A'[/tex] and [tex]x\in B'[/tex].
By definition of set intersection, [tex]x\in A'\cap B'[/tex].
Therefore [tex](A\cup B)'[/tex] is a subset of [tex]A'\cap B'[/tex], because membership of some arbitrary element in the first set directly implies membership in the second set.
Prove [tex]A'\cap B'\subseteq(A\cup B)'[/tex]:Let [tex]x\in A'\cap B'[/tex]. The proof follows similarly as above.
By definition of intersection, [tex]x\in A'[/tex] and [tex]x\in B'[/tex].
By definition of complement, [tex]x\not\in A[/tex] and [tex]x\not\in B[/tex].
By definition of union, [tex]x\not\in(A\cup B)[/tex].
By definition of complement, [tex]x\in(A\cup B)'[/tex].
Therefore [tex]A'\cap B'[/tex] is a subset of [tex](A\cup B)'[/tex].
And hence both sets are equal, regardless of what the sets may be.
2. The average score Josie had in 6 subjects is 72 and her average score after 2 additional
subjects were added is 74.25. If she scored 80 in the 7th subject, what was her score in the
8
th subject correct to the nearest whole number?
Answer:
6(72)= 432 & 8(74.25)=594
594-432=162==> 162-80=82
A rancher has a roll of fencing to enclose a rectangular area. The table shows how the area that the rancher can enclose with the fencing depends on the width of the rectangle. Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet? ✔ A(w) = -w² + 100w The rancher decides to make the width of the rectangle 40 ft. What is the area of the rectangle? PLEASE HURRY
Answer:
A(w) = -w^2 + 100w
Step-by-step explanation:
just took the assignment
Finding the numeric value of the function, it is found that the area of the rectangle is of 2400 square feet.
---------------------------
The area of a rectangle of width w is given by:
[tex]A(w) = -w^2 + 100w[/tex]
In this question, we have a width of 40 ft, thus [tex]w = 40[/tex], and the area is of:
[tex]A(40) = -40^2 + 100(40) = -1600 + 4000 = 2400[/tex]
The area is of 2400 square feet.
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Nathan spins 2 different spinners at the same time. There are a total of 10 possible
outcomes. Which pair of spinners did Nathan spin?
A
B
A
B
1
2
E
2
E
5
3
D
4
A
B
2
A
B
E
c
COM
3
D
с
Answer:
Since the spinners have been spun simultaneously, every side on each of the spinner carries equal probability of landing. In order for there to be only 10 possible outcomes, no more no less, the spinners cannot be identical. One of the spinner in two sided while the other spinner must then be a five sided spinner. Choosing this particular pair of spinners gives Nathan 10 possibilities of combinations.
Hope that answers the question, have a great day!
Answer:
The spinners he spins are the ones that together add up to ten numbers.
Step-by-step explanation:
a bucket that holds 5 1/4 gallons of water is being used to fill a tub that can hold 34 1/8 gallons. How many buckets will be needed to fill the tub?
The answer is 6 1/2 buckets.
What is did was turn the fractions into decimals to make it easier.
So the ratio is 5.25 gallons per bucket. I divided 34 1/8 by 5 1/4 in decimal form (34.125/5.25) and got 6.5
So therefore, the answer is 6 1/2 buckets of water is needed ti fill up the tub.
The average marks of candidates in an aptituste test
was 128.5with a standard deviation of 8.2
Three scores extracted from the test are
148,102, 152, what is the average of the
extracted scores that are extreme values
fouthers (out the coutlier)
Answer:
102
Step-by-step explanation:
We must calculate the value of z for each value and then compare each one and thus manage to see what is an outlier, we know that z is equal to:
z = (x - m) / sd
where x is the value to evaluate, m the mean and sd the standard deviation. Now we have to:
For x = 148:
z = (148 - 128.5) /8.2
z = 2.37
For x = 102:
z = (102 - 128.5) /8.2
z = -3.23
For x = 152:
z = (152 - 128.5) /8.2
z = 2.86
The value of this is generally between -3.09 and 3.09, so when x is 102, it goes out of range of the value of z, which means that this is the outlier.
once again i need help with my 8th grade hw [tex]-9\leq 7-8x[/tex] ... thnx
Step-by-step explanation:
-9 ≤ 7 − 8x
8x ≤ 16
x ≤ 2
A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies? ASAP
Answer:
2.5
Step-by-step explanation:
it takes 1 cup to make 18 cookies so you divide 45 by 18 to get your answer
f(x)=log2(x-3) find the domain of x
Please help !!! Ill give you brainliest!!!
Answer:
72
Step-by-step explanation:
s=9
t=8
therefore , st
9×8
= 72
Answer:
st
Putting the value of s and t in above equation
=> 9 × 8
=> 72
On a coordinate plane, 4 lines are shown. Line L M goes through (negative 5, negative 3) and (0, 3). Line N O goes through (negative 6, negative 5) and (0, 0). Line J K goes through (negative 6, 1) and (0, negative 4). Line P Q goes through (negative 5, 4) and (0, negative 2). Which line is perpendicular to a line that has a slope of Negative five-sixths? line JK line LM line NO line PQ
Answer:
no pq
Step-by-step explanation:
Answer:
Line LM
Step-by-step explanation:
Got it right on Edge2020
A construction company finally completed a major project that paid $1,786,000. This company uses contract workers instead of employees. The money is to be divided in the ratio 4:2:3:3 among the company, The plumber, the electrician and the auxiliary workers. Calculate how much each of them receives.
Answer:
The company receives $595,333.333.
The plumber receives $297,666.667.
Each the electrician and the auxiliary workers receive $446,500.
Step-by-step explanation:
The total amount is $1,786,000.
Company:
The company receives [tex]\frac{4}{4 + 2 + 3 + 3} = \frac{4}{12} = \frac{1}{3}[/tex] of the total amount. So
[tex]\frac{1*1786000}{3} = 595333.333[/tex]
The company receives $595,333.333.
Plumber:
[tex]\frac{2}{4 + 2 + 3 + 3} = \frac{2}{12} = \frac{1}{6}[/tex] of the total amount. So
[tex]\frac{1*1786000}{6} = 297666.667[/tex]
The plumber receives $297,666.667.
Electrician and the auxiliary workers:
Each receives [tex]\frac{3}{4 + 2 + 3 + 3} = \frac{3}{12} = \frac{1}{4}[/tex] of the total amount. So
[tex]\frac{1*1786000}{4} = 446500[/tex]
Each the electrician and the auxiliary workers receive $446,500.
In an experiment to study the effect of temperature (x) on the yield of a chemical reaction (y), 30 experimental runs were conducted. The level of temperature was carefully controlled at each of five levels, coded as x = -2, -1, 0, 1, 2. Two catalysts were used. For each catalyst three runs were taken at each level of temperature, and the yield was measured. The model y = beta_0 + beta_1x + beta_2x^2 + beta_3z + epsilon, epsilon ~ N(0, sigma^2) was considered, where z = 0 for catalyst 1 and z = 1 for catalyst 2. a. Carefully interpret the parameter beta_3 in this model. b. The model was fit to the data and the output is summarized below. The residual sum of squares is 25.05, and Is there any evidence of a difference in the two catalysts? Find a 95% confidence interval for beta_2. c. We also know that (X'X)^-1 = [0.114 0 -0.023 -0.067 0 0.017 0 0 -0.023 0 0.012 0 -0.067 0 0 0.133] i. Explain why ^beta_1and ^beta_3 are independent random variables. ii. Find a 95% confidence interval for the expected yield when the standard temperature (x = 0) and catalyst 2 are used. iii. Find a 95% prediction interval for the yield of a new experiment run under standard temperature (x = 0) and with catalyst 2.
Answer:
=5
Step-by-step explanation:
Given that an experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.
a) Experimental runs possible if use of single temperature, pressure and catalyst is there = no of temperatures x no of pressures x no of catalysts
= b) Here pressure and temperature have no choice as lowest is selected.
no of methods = no of catalysts x 1 x1
= 5
Find the mode of the following data set.
Stem Leaves
4
8
5 0,1,6
6
2,2,4
7 3,5
Answer:
2 or 6
Step-by-step explanation:
The mode is always the number that repeats or is shown more than once. But there is no number that repeats. So your answer is No mode.
Some contact lens wearers report problems with dryness in their eyes. A study was conducted to evaluate the effectiveness of a new eye-drop solution to relieve dryness for contact lens wearers. Twenty-five volunteers who wore contact lenses agreed to use the new solution for one month. At the end of the month, 36 percent of the volunteers reported that the new solution was effective in relieving dryness. The company that produced the new eye-drop solution concluded that using the new solution is more effective in relieving dryness than using no solution. Which of the following best explains why the study does not support such a conclusion.
(A) The sample size was too small.
(B) The study had no control group.
(C) The participants were volunteers.
(D) The participants self-reported the frequency with which they used the new solution.
(E) The participants self-reported the effectiveness of the new solution.
The preceding help understand why the study doesn't really support such a conclusion: the sample size was too small.
The assumption is approximate [tex]\hat{P}[/tex] by a normal distribution will be:
[tex]np \geq 10[/tex][tex]n (1-p) \geq 10[/tex][tex]n = 25[/tex]→ [tex]np = 25\times 0.36[/tex]
[tex]=9[/tex]
→ [tex]n (1-p) = 25\times (1-0.36)[/tex]
[tex]= 25\times 0.64[/tex]
[tex]= 16[/tex]
The above assumption is not satisfied. Thus the above answer i.e., "option A" is the appropriate one.
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Bruce, a store owner, would like to determine if a new advertising initiative has increased his sales per day compared to last year. He gathers information on 14 random sales days and conducts a hypothesis test about the sales revenue during a day using a significance level of 0.5 %. The mean revenue per day prior to the initiative was 650 dollars. df t0.10 t0.05 t0.025 t0.01 t0.005 ... ... ... ... ... ...13 1.350 1.771 2.160 2.650 3.01214 1.345 1.761 2.145 2.624 2.99715 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 Determine the critical value(s) using the partial t-table above. If entering two critical values, use +-.
Answer:
The critical value of t =3.012
Step-by-step explanation:
Solution
Recall that:
Bruce a store owner put together information on random sales of = 14 days
A significant level of =0.5%
The mean revenue per day = 65 dollars
Now,
We find he critical values using the partial t-table stated above
Thus,
The degree of freedom is given below:
n -1 = 14
14-1 =13
For a 0.005 level and right tailed test and with a 13 degree of freedom, the critical value of t =3.012.