Answer: 71 cups
Step-by-step explanation:
71 x 1.5 = 106.5 - 5.25 = 101.25
A manager of a grocery store wants to determine if consumers are spending
more than the national average of $150 with a standard deviation of $30. The
manager collects 10 random receipts and finds that the average customer
spends $160. He then concludes that his customers do spend more than the
national average. a) What do you see as his error in this assumption? b) How
could you redesign the study to correct it?*
Answer:
1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Step-by-step explanation:
We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, [tex]\bar x[/tex], approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is [tex]\left | \bar{x} - \mu \right |[/tex]
1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ
2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;
[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]
Where:
σ = Population standard deviation = $30
z = z value at 95% confidence level = 1.96
[tex]\bar x[/tex] = Sample mean $160
n = Sample size = 10
Plugging in the values, we have;
$141.4 < [tex]\bar x[/tex] < $178.6
Hence the expected value of the mean should be between $141.4 and $178.6.
What is the shape of the graph of the function?
h(t) = 0.32 - 0.5t
Its pretty obvious since the other answer has 1 star, but its B. I got it right on khan academy:)
The correct statement is option A)
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The graph of the function h(t)=0.32-[tex]0.5^t[/tex]
which can be re written as h(t)= [tex]\frac{8}{25}[/tex] - [tex]\frac{1}{2} ^t[/tex]
Thus clearly as the value of t increases or as we move from negative to positive values the graph of the function tends towards zero and is negative for negative values of t.
For instance, at t= -4 we have
8/25 - 16=15.68
and at t=4 we have
8/25 - 1/16 =0.2575
And it intercepts the x-axis at (1.644,0)
Clearly h(t) is smaller for negative values of t and higher for higher values of t and thus has a upward curvature when we input the values from left to right.
Hence, The curve should slowly bend towards x-axis and option A is the correct answer because the graph is higher values for higher values of t.
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please anwser this picture
Answer:equal
Step-by-step explanation:
Answer equal
Step-by-step explanation:
Can someone please help me with this?
i’m doing the first one.
the filled in circle goes to the 8 and put an arrow facing the right.
inequality-
x ≥ 8
what is s10 for 1 + 2 + 4 + 8+...
256
511
1023
2047
Answer:
1023
Step-by-step explanation:
[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]
a = first term
r = common ratio
n = number of terms
Here we have
a = 1
r = 2
n = 10
[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]
[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]
[tex] S_{10} = \dfrac{-1023}{-1} [/tex]
[tex] S_{10} = 1023 [/tex]
Of course, since 10 is not such a large number of terms, you can simply do this:
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023
Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a
square grid (see map). They are both standing at the corner of 6th avenue and L street. Doug can run at an average speed of 30
mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to the corner of
10th avenue and Estreet. who would win and why?
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.
Step-by-step explanation:
Each city block is a square 1/16 mile by 1/16 mile.
From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.
leg1 = 4 * 1/16 mile = 0.25 mile
leg2 = 7 * 1.16 mile = 0.4375 mile
The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.
a^2 + b^2 = c^2
(0.25 mile)^2 + (0.4375 mile)^2 = c^2
c = 0.50389
The direct distance from one corner to the other is 0.50389 miles.
The bird travels this distance since the bird can fly above the streets.
The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles
Now we need to see what takes less time:
Bird: distance of 0.50389 miles at 20 mph, or
Dog: distance of 0.6875 miles at 30 mph
We start with the formula for speed:
speed = distance/time
s = dt
Now we solve it for time:
st = d
t = d/s
Time equals distance divided by speed.
Now we find the times for the bird and for the dog.
Bird:
t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes
Dog:
t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes
The bird takes 1.51 minutes, and the dog takes 1.38 minutes.
The dog takes less time to get there, so the dog wins.
2. The size of a conC. 3 times the size of a cylinder is:
A. 1/3 the size of a cylinder.
B. 2/3 the size of a cylinder.
C. 3 times the size of a cylinder.
D. the same as the size of a cylinder.
Answer:
The answer is A.
Step-by-step explanation:
Chris needs at least a C+ average to pass his math class. His test grades in the class are shown below. 68, 80, 73, 72 The lowest C+ grade is 76. If there are only 5 tests, what is the minimum grade that Chris needs to get on his last test? A. 97 points B. 89 points C. 85 points D. 87 points
Answer:
C
Step-by-step explanation:
Answer:
B 89 points
Step-by-step explanation:
you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests
hope this helped<33
many organize a classroom party. there are 20 of cold drinks at the party, 13 of which contain diet Pepsi, what is the probability that randomly selected drink will be a diet Pepsi? answer key
Answer:
so its either 13/20
Step-by-step explanation:
if you get this wrong sorry:(
Find the measure of the third angle of a triangle if the measures of the other two angles are given. 31.8 and 89.8
Answer:
58.4 Degrees
Step-by-step explanation:
Look at the attachment
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The measure of the third angle of a triangle is 58.4°.
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The sum of all the angle of the traingle is always 180°.
31.8° + 89.8° + x = 180°
x = 58.4°
Hence, the measure of the third angle of a triangle is 58.4°.
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KN and JM are diameters of circle I. Find m LIM.
Answer:
46 degrees
Step-by-step explanation:
PLEASE HELP ME!! IM IN DESPERATE NEED OF HELP
The length of a rectangle is three times as long as its width. The width of this rectangle is 6 inches smaller than its length. Find the length and the width
Answer:
12
Step-by-step explanation:
Answer:
width is 3 and length is 9
Step-by-step explanation:
width is 3 bcs 3*3=9-6=3 satisfied?
Plz help Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile
Purple
Pink
Orange
Number of times the tile is drawn
4
24
22
What is the experimental probability that Jenny will pull out an orange tile? 22 over 50 17 0ver 50 22 over 28 or 17 over 28
Answer:
22/50?
Step-by-step explanation:
Answer:
22/50
Step-by-step explanation:
This is an experimental probability. This means that it is based on the experiment given to us. We know that out of the 50 times that she has pulled a tile out of the bag, she has gotten orange 22 of those times. Based on those results we can say that the probability of her choosing an orange again is 22/50. Or 44%.
Which of the following represents the factorization of the binomial below ? x^2 - 144
It factors to (x+12)(x-12)
This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7
I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)
7. A random sample of size n is collected from a considerably larger population
of size N. That sample is used to create a 95% confidence interval to estimate a
population proportion. Using the same sample proportion, the confidence
interval would be narrower if:
(A) A smaller sample size was used.
(B) A t-procedure was used instead of a z-procedure.
(C) A higher confidence level was used.
(D) The population size N was larger.
(E) A lower confidence level was used.
Answer:
B. Larger sample size and lower confidence level
Step-by-step explanation:
The margin of error of a confidence interval is given by the following formula:
In which is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the value of Z.
So, the margin of error is direct proportion to the confidence level and inverse proportional to the sample size.
We want to decrease the margin of error.
So the correct answer is:
B. Larger sample size and lower confidence level
Answer:
(E) A lower confidence level was used.
Step-by-step explanation:
The correct answer is (E). With the sample proportion remaining the same, a lower confidence level results in a lower margin of error and a narrower interval.
If the interest charge is 1.5 percent per month on an overdraft, how much interest is due one month after an overdraft of $50?
Rewrite the percentage as a decimal:
1.5% = 0.015
Multiply by the amount of the overdraft:
50 x 0.015 = 0.75
The interest is $0.75
Use the Remainder Theorem to find the remainder for (2x^3- 3x^2+x)/(x-1) and state whether or not the binomial is a factor of the
polynomial.
As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.
Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial
2x³ - 3x² + x.
Therefore,
2(1)³ - 3(1)² + 1 = 0
2 - 3 + 1 = 0.
3 - 3 = 0.
0 = 0.
So, The binomial x - 1 is a factor of the polynomial.
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The graph of f(x) is shown. Estimate f(-3).
f(-3) = 1
Answer:
There is no graph.
But 1 would be a good estimate if f(-3)=1
Step-by-step explanation:
Help ASAP please ! Explain too if you can
Answer:
B
Step-by-step explanation:
180-118=42 so angle c=42
add 42 +76 =138
in a triangle all degrees ad up to 180 so
subtract 138 from 180=42
Answer:
B) 42 degrees
Step-by-step explanation:
If we're looking for the measure of angle E, we need to know the measures of angles D and C too. (Otherwise we just have nothing to work with.)
So they already give us angle D's measurement, which is 76; we just have to find the smaller angle at C and then solve for E. If this doesn't make sense, just look at C; there's a big angle (118) and a small one that we don't know. We have to find the small one.
Well at C there's just a straight line, so we can assume that the big angle and the small angle add up to 180 degrees, because straight angles are always 180 degrees.
Now to get the small angle, we can take 118 away from 180 to get 62, which will be the measure of the smaller angle. (Comment if you don't know why I did this.)
Now that we know two out of three measures in the triangle, we can find the measure of angle E. All triangles' angles add up to 180 degrees, so we can take away 76 (measure of D) and 62 (measure of small C) from 180 to get the measure of E: 180 - 76 - 62 = 42
So the measure of angle E is 42.
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Answer:
A
Step-by-step explanation:
Answer:
A) 107 inches2
Step-by-step explanation:
4*16= 64
64/2 = 32
9+16 = 25
25/2 = 12.50
12.50*6 = 75
32 + 75 = 107
Got it right in USA TESTING
If x is 6, then 7x =
Answer:42
Step-by-step explanation:
if x=6 u change the x with 6 then the equation would be 7x6= 42
Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player need to raise more? How can estimation help you solve?
Answer: A softball player will need to raise more.
Step-by-step explanation:
The softball team needs to raise $318.12 among the twelve girls on the team. Each softball player needs to raise:
$318.12 ÷ 12 = $26.51
The hockey team needs to raise $391.92 among the 24 boys on the team. Each hockey player will raise:
$391.92 ÷ 24 = $16.33
A softball player will raise $26.51 while a hockey player will raise $16.33. Therefore, a softball player will need to raise more.
What factors do 6 and 12 have in common?
Answer:
6x^2 im pretty sure thats whats its asking for
Step-by-step explanation:
Can someone help me with this? ;^;
Answer:
The mode would be 10
Step-by-step explanation:
Because it is there more than the others
hope this helps! =D
Answer:
10
Step-by-step explanation:
30 points + brainly
Question one ( both questions use the same picture)
The histogram below represents the heights of the Boston Celtics. What size are the intervals on the histogram?
2 inches
3 inches
4 inches
5 inches
Question 2
The histogram below represents the heights of the Boston Celtics. Which of the following statements is true?
The mode interval of this set is 79” – 81”.
There are more players between 73” and 75” than there are between 82” and 84”.
The most number of players are in the interval between 76” and 78”.
The fewest number of players are in the interval between 82” and 84”.
Answer: 3 inches
The mode interval of this set is 79” – 81”.
Step-by-step explanation: You are looking for the mode which means the one that occurs most frequently
What number is the opposite of 98?
Answer:
-98
Step-by-step explanation:
hope this is right
Answer:
-98
Step-by-step explanation:
a negative number is the opposite of a positive number
CAN YOU HELP ME ON NUMBER 19
WHOEVER COMES FIRST I WILL GIVE 5 STARS I PROMISE :)
Answer:
i think it's b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It would be B because there are different number spikes in the different ages for the different reasons. Therefore there is no association with the two ages
need answer asap!!!!!!!!!!!
Answer:
126 degrees
Step-by-step explanation:
A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.
A gym has two different membership offers. The usual offer is $10 per month (m) plus a $300 set-up fee. The promotional offer is $30 per month (m) with no set-up fee. Write a system of equations that models the total costs (c) that both memberships offer. Write your equations separately but do not include spaces within each equation.
Please help
Find answer Asap and I will mark as brainliest!!
Answer:
3 units.
Step-by-step explanation:
If you view the triangle face in halves, the bottom leg is units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.
