We should expect the average of these sample mean test scores to equal 547.35, using the Central Limit Theorem.
Central Limit TheoremThe Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].
For the sampling distribution, the mean and the standard deviation are given as follows:Mean: [tex]\mu[/tex], that is, the same as the population mean.Standard deviation: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], which is the population standard deviation divided by the square root of the sample size.For a skewed, that is, a non-normal variable, the sampling distribution is also approximately normal, as long as n is at least 30.
Hence, we should expect the average of these sample mean test scores to equal the population mean of 547.35.
More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303
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The table gives predictions of the average costs of a gasoline car after the year 2030. Which graph best represents the relationship between time and the predicted cost?
Answer:
It's the b graph
Step-by-step explanation:
Khan Academy.
Answer:
The line slightly curves.
Step-by-step explanation:
Got it right on Khan
what about this one. pls help me
Answer:
54
Step-by-step explanation:
486(1/9)
Answer:
I believe it’s 54 more people
Step-by-step explanation:
Because if you divide 486 by 9 you get 54. 54 multiplied by 2 equals 108. So 108 voted for ice cream. While only 54 voted for frozen yogurt. Hope this helps
Lexi mailed a letter on Monday morning. The letter traveled 1/2 of a mile on Monday. It
traveled 3/4 more of a mile on Tuesday, reaching its destination on Tuesday afternoon. How
far did Lexi's letter travel in all?
Answer:
1 1/4 miles
Step-by-step explanation:
3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4
7. Which of these expressions are equivalent to 10x + 11? Select the three that apply.
A. 5(2x + 10)+1
B. 7(x + 2) + 3x - 3
C. 3(3x + 4) + X-1
D. 2(6x + 4) + 2x + 5
E. 2(6x + 5) - 2x + 1
Answer:
B
Step-by-step explanation:
7 times 1x equals 7x. Then 7 times 2= 14. Thirdly, 7x plus 3x equals 10x. Lastly, 14 -3 equals 11. So 10-+11 altogether
Please help ill give BRAINLIEST!
Answer:
27 feet
Step-by-step explanation:
If you draw the triangle, the hypotenuse is 387 feet and an angle is 4 degrees. The leg opposite this angle is [tex]387 \cdot \sin 4^\circ[/tex], which is about 26.996, so the nearest foot is 27 feet.
(brainliest pls)
Arletta built a cardboard ramp for
her little brother's toy cars. Find
the volume of this ramp.
-
Answer:
525
Step-by-step explanation:
25 x 6 = 150; 150 / 2 =75; 75 x 7 = 525
The tree diagram represents an
experiment consisting of two trials.
.3
.4
B
Answer:
.32
Step-by-step explanation:
.4x.8=.32
Factor out the
greatest common factor.
4x2 + 2x - 8
Answer:2(2x2+x−4)
Step-by-step explanation:
Factor 4x2+2x−8
4x2+2x−8
=2(2x2+x−4)
I need help can someone please help me
Answer:
If you are trying to find the other degree its 114.
Step-by-step explanation:
180-66=114
-1/3 + 5/12. Help thank you
Answer:
1/12
Step-by-step explanation:
-1/3=-4/12
5/12-4/12=1/12
Write an equation of a function that is not linear.
10 Pounds in 4 weeks, how many in 1 week
Answer:
2.5
Step-by-step explanation:
This is unit rate. All you have to do is 10 divided by 4.
27
Here are the first four terms of an arithmetic sequence.
- 6 -2 2
(a) Find an expression, in terms of n, for the nth term of this sequence.
(b) Find the 10th term of this sequence.
(2 part question; enter answers for (a) and (b) in the answer box below) *
(3 Points)
Answer: (assuming the first three terms are -6, -2, 2)
(a) f(n) = 4n - 10
(b) 30
Step-by-step explanation:
(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)
(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:
2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4
Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:
-6 - 4 = -10.
At this point, you can write the equation:
f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)
f(n) = 4n - 10 (reorganize by value of exponents)
(b) In order to find the 10th term, you just need to plug it into the previous equation:
where n = 10, and f(n) = 4n - 10,
f(n) = 4(10) - 10 (substitute n into the equation)
f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)
f(n) = 30 (subtract)
Please help ill give BRAINLIEST. This is geometry
Answer:
A
Step-by-step explanation:
it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2
IS THIS IN SIMPLIST FORM? PLEASE HELP! TY!
2( x - 3 + 2 )
Answer:
2x - 2
Step-by-step explanation:
There are two steps to take here. First add together the -3 + 2 in the brackets:
2(x - 3 + 2)
= 2(x - 1)
Now use the distributive property and multiply each term in the brackets by two:
2(x - 1)
= 2x - 2
And you now have it in simplest form.
Mr. Fishman used to work in a warehouse in New York. He would fill up pallets of product to be shipped to retail stores around the country. He would then drive the forklift to place the heavy pallets on the industrial scale to determine the weight for the bill of lading and then he would load the pallets onto the shipping trucks. One shipment had a full pallet (10 cartons per level and 8 levels high) mixed with two different products that had the exact same size shipping carton. The different packages were clearly marked, but once they were loaded on the pallet it was almost impossible to distinguish between them. While the cartons were the same size, each carton of Product X weighed 3 pounds while each carton of Product Y weighed 5 pounds.
Required:
How many cartons of each product were on the pallet?
Complete question:
When the pallet was placed on the scale, the reading came back as 325 total pounds. Note that this was including the pallet itself, which weighed 35 pounds.
How many cartons of each product were on the pallet? Create two equations to represent the situation and then solve the system. Show all work. Express your final answer using a complete sentence and appropriate units
Answer:
we have 25 and 55 cartons of each product
Step-by-step explanation:
we have number of carton = 10 x 8 = 80
each level has 10, and leves are 8 high
two types of product packages,
we call them w and x
w + x = 80 ------ equation 1
w has 3 pounds weight
x has 5 pounds weight
3*w +5*x
3w + 5x
total weight = 325
we subtract weight of pallet 35
= 325 - 35 = 290
3w + 5x = 290-------- equation 2
we have two equations
w + x = 80------(1)
3w + 5x = 290-------(2)
from equation 1,
w = 80 - x
put this value above in equation 2
3(80-x) + 5x = 290
240-3x+5x = 290
240+2x = 290
2x = 290-240
2x = 50
divide through by 2
x = 25
put value of x in equation 1
w + 25 = 80
w = 80-25
w = 55
so we have 55 cartons of w and 25 cartons of product x
Please help due soon.
Answer:
If Jenny gives her brother 28 marbles, they will have 59 marbles each.
Step-by-step explanation:
The key to finding this answer is a mean, or average. Find it for the number of marbles:
[tex]\text{Mean}=\frac{87+31}{2}= \frac{118}{2}=59 \text{ marbles}[/tex]
So, on average, each one should have 59 marbles.
Finally, to find out how many marbles Jenny should give to her brother, subtract the average (59 marbles) from her count:
[tex]87-59=28 \text{ marbles}[/tex]
This means Jenny would give up 28 of her marbles to her brother.
I need help please.
Answer:
Equal
Step-by-step explanation:
A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15 times
and records the results. This is the second set of data.
What is an appropriate conclusion about the shape of the dot plots?
Suppose you deposit $1000 in an account paying 4% annual interest, compounded continuously. Find the balance after 10 years.
Answer:
400
Step-by-step explanation:
To find 4% of $1000 you have to multiply them and then divide them by 100.
4 x 1000/100
4,000/100 = 40
Every year, you would get 40 dollars, so for 10 years you multiply 10 x 40.
10 x 40 = 400
The balance after 10 years with an interest rate of 4% and the initial amount of $1000 will be 1480.24
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
You deposit $1000 in an account paying 4% annual interest, compounded continuously.
Then the balance after 10 years will be
A = 1000(1 + 0.04)¹⁰
A = $ 1480.24
More about the compound interest link is given below.
https://brainly.com/question/25857212
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It has been hypothesized that allergies result from a lack of early childhood exposure to antigens. If this hypothesis were true, then we would expect allergies to be more common in very hygienic households with low levels of bacteria and other infectious agents. To test this theory, researchers at the University of Colorado sampled the houses of 61 children 9-24 months old and recorded two variables: (1) whether the child tested positive for allergies and (2) the concentration of bacterial endotoxin in the house dust.
Required:
a. Plot a histogram of bacterial endotoxin levels.
b. Test whether the observed difference in endotoxin levels between the "sensitive" and normal"
Answer:
[a]. check attachment.
[b]. It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is P-value = 0.001 <<0.05.
Step-by-step explanation:
Without mincing words let's dive straight into the solution to the question above.
[a]. The drawing showing the histogram of bacterial endotoxin levels is given in the attached picture.
KINDLY NOTE: The data is right-skewed.
[b]. ALLERGIC MEAN SE MEAN STDEV N
FALSE 1510 251 1789 251
TRUE 530 109 343 10
False - true = difference in a.
Hence, 80 = estimated difference.
For the difference, 95% CI = (434, 1527).
DF = 58, P-value = 0.001, and the T value = 3.59.
Therefore, It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is P-value = 0.001 <<0.05.
At the West Street Bakery, 16
1
6
of the dessert case holds pies. There are 4 equal size shelves.
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
If 9% of a number equals 10, find 90% of that number.
Answer:
100
Step-by-step explanation:
In this problem 10 represents 9% of a number. So, to find 90% you must multiply 10 by 10. You do this because 9% times 10 equals 90%; therefore, 100 must be 90%.
This can also be proven through cross multiplication. To set up a proportion put the percent over the number like, [tex]\frac{9}{10}=\frac{90}{x}[/tex]. Then cross multiply to get the equation, [tex]9x=900[/tex]. Finally, divide both sides to get x=100.
Are these in the same FACT FAMILY??
4 + 5 = 9
9 - 5 = 4
Answer:
yes cause they are the same #s
Step-by-step explanation:
Step-by-step explanation:
I think yes I am not sure
sorry I took your points
if each data is increased by a constant K then find it's mean ?? answer fast pleaseerrreeeeeeeeee
Answer:
per month. the only thing is that it is a bit of a new one of our customers
A nationally known producer of snack cakes is preparing to launch a new lemon-flavored cake. The marketing department wants to test the differences in customer experiences with the cake, depending on the coloring that is added to the batter during baking. The department thinks that the novelty of a lemon cake with blue coloring will make the cake-eating experience and taste more enjoyable. Thirty participants, taken from among the customers who came to their on-site store, are brought to the lab and asked to taste two different cakes each: one that is tinted blue and one that is tinted bright yellow. The participants rate each cake on a scale from 1 to 7, with higher numbers indicating greater sweetness. The researcher found the following: MBlue = 5.6 MYellow = 3.42 sD = 2.46
In the food science experiment, when comparing the observed statistic to the critical value, what is the correct statistical decision and interpretation?
A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
B. Reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
C. Fail to reject the null hypothesis and conclude that customers do not rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
D. Reject the null hypothesis and conclude that customers do not rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
Answer:
A. Fail to reject the null hypothesis and conclude that customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow
Step-by-step explanation:
The researcher found out that;
MBlue = 5.6 and MYellow = 3.42
This means that more customers found lemon snacks cake tinted blue as sweeter since Mblue > Myellow.
Null hypothesis is that lemon cake with blue coloring will make the cake-eating experience sweeter and more enjoyable.
Thus; since Mblue > Mellow, we will Fail to reject the null hypothesis and conclude that the customers rate lemon snack cakes tinted blue as significantly more enjoyable than lemon snack cakes tinted yellow.
y = 3x - 4; (2,7)
Write an equation for the line that is parallel to the given line and that contains the given point
Please help ASAP thank you
75% of n is 45. n is what percent of 90?
Answer:
66.67%
Step-by-step explanation:
75 /100 = .75
.75n = 45
45/.75 = 60
60 is n
60/90 = .666667
.666667 * 100 = 66.67%
Answer: for this problem, I will be using proportions.
Step-by-step explanation:
Find n
45 x 100 = 4,5000
4,5000 / 75 = 60
n = 60
60 x 100 = 6,000
6,000 / 90 = 66.66%
So, n is equal to 60 and n is 66.66% of 90.
PLEASE HELP MEH
find the equation the line
use exact numbers
y=___x+____
X=5 and y=7 for algebraic expression 2(4x-3) + 6(3y-5)
Answer:
130
Step-by-step explanation:
2(4x - 3) + 6(3y - 5)
2(4 × 5 - 3) + 6(3 × 7 - 5)
2(20 - 3) + 6(21 - 5)
2(17) + 6(16)
34 + 96
130
Answer:
The answer would be 130
Step-by-step explanation:
First, substitute the variable values into the equation.
2(4(5)-3) + 6(3(7)-5)
Next, solve for the inside parentheses.
2(20-3) + 6(21-5)
Now solve the parentheses again.
2(17) + 6(16)
Then multiply the numbers.
34 + 96
Finally add the last two numbers together to get your answer of 130.
Hope this helped!