don 10 of 25 ) Stacked Attempt 12 Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score we of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information, you know that the standard deviation of scores for all MCAT takers is 10.8. Suppose that (unknown to you) the mean score of those taking the MCAT on your campus is 495 You sample 36 students. What is the mean of the sampling distribution of their average scorex? Give your answer as a whole number. mean: 495 What is the standard deviation of the sampling distribution of their average score? Give your answer to two decimal places. 10.80 standard deviation: Innect MacBook Pro
The mean of the sampling distribution of their average score is 495.
The standard deviation of the sampling distribution of their average score is 1.80
To find the mean of the sampling distribution of the average score (x), we can use the formula:
Mean of sampling distribution = Population mean = 495
Therefore, the mean of the sampling distribution of their average score is 495.
To find the standard deviation of the sampling distribution of the average score, we can use the formula:
Standard deviation of sampling distribution = Population standard deviation / √(sample size)
Given that the population standard deviation is 10.8 and the sample size is 36, we can calculate the standard deviation of the sampling distribution as follows:
Standard deviation of sampling distribution = 10.8 / √36 = 10.8 / 6 = 1.80
Therefore, the standard deviation of the sampling distribution of their average score is 1.80 (rounded to two decimal places).
Learn more about standard deviations here,https://brainly.com/question/31616931
#SPJ11
Help me please i will mark as brainliest
Answer:
2n-7=3n-3
Step-by-step explanation:
2n-7=3n-3
There are 2 n variable tiles and 7 -1 tiles for the first and 3 n variable tiles and 3 -1 tiles for the seconds.
The Miller family bought 4 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 27 of the eggs. How many eggs are left?
Answer:
45 eggs left
Step-by-step explanation:
if they had 4 crates and each crate has 18, then we have a total of 72 eggs
subtract 27 eaten eggs from 72
72-27=45
they have 45 eggs left
Answer:
The answer is 45.
Step-by-step explanation:
How I got 45 is.....
1. I multiplied 4 x 18 to get 72
2. Then I subtracted 72 - 27 to get 45
I hope this helps! :0
An artist mixes 3.8 ounces of blue paint with 0.75 ounce of white paint. She then divides the paint into 6 equal parts. How much paint is in each part? Enter your answer in the box. Round to the nearest tenth. oz
Answer: 0.8 oz
Step-by-step explanation:
3.8 + 0.75 = 4.55
4.55/6 = 0.758333333 (and so on), but round it to ≈ 0.8 oz because it’s 0.75, which means round up
The amount of paint in each part will be 0.76 ounces.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
An artist mixes 3.8 ounces of blue paint with 0.75 ounces of white paint. She then divides the paint into 6 equal parts.
The total amount of paint will be
⇒ 3.8 + 0.75
⇒ 4.55
The amount of paint in each part will be
⇒ 4.55 / 6
⇒ 0.76
The amount of paint in each part will be 0.76 ounces.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
300 km divided by 60 km/h equals
Answer:
5h
Step-by-step explanation:
300÷60=5
km÷km/h=h
=5h
If p=180−0.2D, calculate the optimal profit if the total cost is $30,500.
To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.
To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:
Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).
To know more about cost visit:
https://brainly.com/question/14566816
#SPJ11
What is the product of 3/5x4/9
Answer: 4/15
For fraction multiplication, multiply the numerators and then multiply the denominators
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 45 using
GCF(12,45) = 3
Therefore: it's 4/15
Hope this helps (>'-'<)
Ahmed spent $ 27 and now has no money left. He had before his purchase.
Answer: $27
Step-by-step explanation:
Your question is unfinished but I'm assuming you want to know how much he had before his purchase.
If he spent $27 and is now broke that means he only had $27 in his wallet before his purchase
test the series for convergence or divergence. 2/5−2/6 2/7−2/8 2/9
Therefore, the series does not satisfy the necessary condition for convergence, which states that the terms should approach zero.
To determine whether the series converges or diverges, we need to examine the behavior of the terms as the series progresses. Let's analyze the given series:
=2/5 - 2/6 + 2/7 - 2/8 + 2/9
We can rewrite the series by grouping the terms:
=(2/5 - 2/6) + (2/7 - 2/8) + 2/9
To determine the convergence or divergence of the series, we need to evaluate the limit of the terms as the series progresses.
Term 1: 2/5 - 2/6
= (12 - 10)/30
= 2/30
= 1/15
Term 2: 2/7 - 2/8
= (16 - 14)/56
= 2/56
= 1/28
Term 3: 2/9
As we can see, the terms are positive and decreasing as the series progresses. However, the terms do not approach zero.
To know more about convergence,
https://brainly.com/question/32562373
#SPJ11
someone please help.........
Answer:
i think its 1/16
Step-by-step explanation:
how do u solve this im not sure
Answer:
Step-by-step explanation:
z/8 -5/8= (z-5)/8
it can not be simplified more than this
Answer:
z-5/8
Step-by-step explanation:
change it to a single fraction
Jeanette ice cream shop sold 10 sundaes with nuts and 7 sundaes without nuts to the total number of sundaes
7m+21=5m−5
Can someone help me?
Answer:
m=13
Step-by-step explanation:
7m+21=5m-5
7m-5m=2m
2m+21=-5
-5-21=-26
2m=-26
-26/2
13
13=m
Answer:
m=-13
Step by step is glitching out
is the calculation that should be used when calculating Return on Investment A. Expected Monetary Value B. Expected Utility C. Maximin D. Minimax Regret.
Options B, C, and D (Expected Utility, Maximin, and Minimax Regret) are decision-making criteria used in different contexts, but they are not specifically related to calculating ROI.
The calculation that should be used when calculating Return on Investment (ROI) is option A: Expected Monetary Value.
ROI is a financial metric that measures the profitability of an investment by comparing the gain or loss from the investment relative to its cost. It is typically expressed as a percentage.
To calculate ROI, the expected monetary value of the investment is considered. It takes into account the potential gains or losses associated with the investment and the probabilities of those outcomes. By multiplying the potential outcomes by their respective probabilities and summing them up, the expected monetary value can be calculated.
To know more about percentage visit:
brainly.com/question/14801224
#SPJ11
A study considered the question, "Are you a registered voter?". Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of
89 people were asked the voter registration question face-to-face. Of those sampled, eighty respondents gave accurate answers (as verified by city records).
Another random sample of
84 people were asked the same question during a telephone interview. Of those sampled, seventy-five respondents gave accurate answers. Assume the samples are representative of the general population.
a) Categorize the problem below according to parameter being estimated, proportion
p, mean μ, difference of means μ1−μ2, or difference of proportions p1−p2. Then solve the problem.
i. μ1−μ2
ii μ
iii. p
iv. p1−p2
The given problem is categorized according to the parameter being estimated, which is the "difference of proportions p1−p2."The calculated difference of proportions p1−p2 is 0.0542.
Given, a random sample of 89 people were asked the voter registration question face-to-face. Of those sampled, eighty respondents gave accurate answers. Another random sample of 84 people was asked the same question during a telephone interview. Of those sampled, seventy-five respondents gave accurate answers.
Assume that the samples are representative of the general population. Categorize the problem according to the parameter being estimated: proportion p, mean μ, a difference of means μ1−μ2, or difference of proportions p1−p2.In this problem, we are comparing the proportion of accurate answers from face-to-face interviews (p1) to that of telephone interviews (p2).
Therefore, the parameter being estimated is the "difference of proportions p1−p2."Calculating the difference of proportions:p1 = 80/89 = 0.8989p2 = 75/84 = 0.8929p1 - p2 = 0.8989 - 0.8929 = 0.0060The difference of proportions p1−p2 is 0.0060 or 0.6%. Thus, the sample data suggests that the proportion of accurate voter registration responses is slightly higher among those interviewed face-to-face.
To know more about the data analysis random sample visit:
https://brainly.com/question/14101610
#SPJ11
The proportions of accurate responses for the face-to-face and telephone interviews are 0.8989 and 0.8929, respectively.
a) i. μ1−μ2: There is no specific information given in the problem that requires calculating the difference of means.
ii. μ: There is no specific information given in the problem that requires calculating the mean.
iii. p: The problem involves estimating the proportion of registered voters.
iv. p1−p2: There is no specific information given in the problem that requires calculating the difference of proportions.
The accuracy of response in face-to-face and telephone interviews is being compared.
For the face-to-face interview:
Sample size (n1) = 89
Number of accurate responses (x1) = 80
For the telephone interview:
Sample size (n2) = 84
Number of accurate responses (x2) = 75
To estimate the proportion of accurate responses for each method, we calculate the sample proportions:
p1 = x1/n1
p2 = x2/n2
p1 = 80/89
p2 = 75/84
Simplifying the calculations:
p1 ≈ 0.8989
p2 ≈ 0.8929
Therefore, the estimated proportions of accurate responses for the face-to-face and telephone interviews are 0.8989 and 0.8929, respectively.
Learn more about Proportion here:
https://brainly.com/question/32869869
#SPJ4
How many times does 5/3 go into 3?
Answer:
9/5
Step-by-step explanation:
If we want to know the amount of times the fraction 5/3 can go into 3, you would need to set up the equation 5/3x = 3.
(3/5)*(5/3x) = (3/5)*(3)
x = 9/5
For the following exercise, solve the quadratic equation by completing the square. 2x^(2)+6x-1=0
The solutions to the quadratic equation \(2x^2 + 6x - 1 = 0\), obtained by completing the square, are x = -3 + √10 and x = -3 - √10.
To solve the quadratic equation\(2x^2 + 6x - 1 = 0\)by completing the square, follow these steps:
Ensure that the coefficient of \(x^2\) is 1. In this case, it is already 2, so we don't need to make any changes.
Move the constant term to the other side of the equation. Add 1 to both sides:
\(2x^2 + 6x = 1\)
Divide the coefficient of x by 2 and square it. In this case, (6/2)^2 = 9.
Add the result from step 3 to both sides of the equation:
\(2x^2 + 6x + 9 = 1 + 9\)
Simplifying, we get:
\(2x^2 + 6x + 9 = 10\)
Write the left side of the equation as a perfect square trinomial. In this case, it is \((x + 3)^2.\)
\((x + 3)^2 = 10\)
Take the square root of both sides:
\(√[(x + 3)^2] = ±√10\)
Simplifying:
\(x + 3 = ±√10\)
Solve for x by subtracting 3 from both sides:
x = -3 ± √10
So, the solutions to the quadratic equation \(2x^2 + 6x - 1\)= 0, obtained by completing the square, are x = -3 + √10 and x = -3 - √10.
Learn more about quadratic equation here:
https://brainly.com/question/30098550
#SPJ11
1.2.PS-12
Determine whether the given number belongs to each set.
Integers
72
72
Whole
Numbers
?
Vyriole
Numbers
Yes
?
integers
Yes
Rational
Numbers
?
Katorial
Numbers
No
Click to select your answer(s) and then click Check Answer.
All parts showing
Clear All
Answer: Yes it is rational number because it has a terminating decimal expansion
Step-by-step explanation:
Define Rational number:
rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.
Yes it is rational number because it has a terminating decimal expansion.
7/2=3.5
Define Integer:
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14.
all integers between -7 and 2 in increasing order are:
-6,-5,-4,-3,-2,-1,0 and 1.
since, it has to be in increasing order -6 will come first and 1 at the last.
Learn about more information https://brainly.in/question/20604983
#SPJ9
Which fraction is equivalent to 16.6¯¯¯%
PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation:
Find the axis of symmetry and vertex y = -x² + 10x - 26
Find the surface area of the figure shown. 5 cm 5 cm cm 1.5 cm 8 cm your answer
Answer:
51 cm^2
Step-by-step explanation:
the formula for area of an icoselese triangle is
A = b * h / 2
h is a line from the angle where the 5 and 5 intersect to the middle of the third line
You can find h using the pythagoran theorm with the 5 being the hypotenuse and the a being half the third line
4^2 + b^2 = 5^2
16 + b^2 = 25
b = 3, so h = 3, so now
A = 8 * 3 / 2
A = 24 / 2
A = 12 cm^2
now we have the triangle, just multiply that by 2 (top and bottom)
12 * 2 = 24
sides
8 * 1.5 = 12
5 * 1.5 * 2 = 15
now add all of it
15 + 12 + 24 = 51
Question in picture solve
Answer:
x int (-3,0) and x int (2,0)
2. Next she needs to find her maximum heart rate m by subtracting her age a from 220. Write an
equation she can use.
Answer:
220 - a = m
Step-by-step explanation:
a is her age
Given: 9x>-36.
Choose the solution set.
O [xlx>-4)
O'{x1x<-4}
O [xlx>4)
O [xlx<4)
The back to back stem plot shows the number of books read in a year by a group of high school and college students which statements are correct?
The correct statement are:
The range for high school students is larger than college students.The college median is equal to the high school median.Based on the given information, we can make the following conclusions:
A. The interquartile range for high school students is smaller than college students.
The statement is False
B. The mean for high school students is smaller than college students.
The statement is False because the mean of College is 25.28 and mean for High school is 30.4.
C. The range for high school students is larger than college students.
The statement is True .
D. The college median is equal to the high school median.
The statement is True because the median for both is 24..
E. The mean absolute deviation is larger for college students than high school students.
The statement is False.
Learn more about plot here:
https://brainly.com/question/32275669
#SPJ1
A recipe for cookies requires 1 ⅔ cup of milk. How many cups of milk are needed for 4 batches of the recipe?
Answer:
6 2/3
Step-by-step explanation:
1 2/3 *4= 4 8/3 ---->6 2/3
If 13 is added to a number and the sum is multiplied by 3, the result is 7
times the number decreased by 9. Find the number.
Answer:
75
Step-by-step explanation:
Let n stand-in for "number"
"If 13 is added to a number," so: n + 13
"and the sum is multiplied by three," so: 3(n+13)
"The result is," so: 3(n+13) =
"7 times the number decreased by 9," so: 3(n+13) = 7n - 9
Now you can simply by moving numbers across the equal sign:
3n + 39 = 7n - 9
39 = 4n - 9 (take 3n off from both sides)
48 = 4n (add 9 onto both sides)
12 = n
And then check:
3(12 + 13) = 7(12) - 9
3 x 25 = 7 x 12 - 9
75 = 84 - 9
84 - 9 = 75
Solve for . need 20 letters lol
/5 = −9
Answer:
r=-45
Step-by-step explanation:
r/5=-9
x 5 x5
________________
r=-45
Hope this helps ∞<3
okay I just sent the wrong picture sorry it was supposed to be a question this question is not on the quiz but I'm trying to help my sister out and the question is james has 60 cars and John has 20 cars divided would equal what?
James has 60 cars
john has 20 cars
this statement implies that James has 3 times has the number of cars jokhn hax
= 60/ 20
= 3