Answer:
12,400
Step-by-step explanation:
36 months /12 months = 3 years
3 years x .08 rate = .24 interest + 1 loan = 1.24 loan
1.24 x 10,000 = 12,400
Answer:
Step-by-step explanation:
12,400
Please confirm my answer
Points (−3, 5) and (3, 5) on the coordinate grid below show the positions of two players on a tennis court:
Which statement best describes the relationship between the positions of the two players? (4 points)
Select one:
a. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
b. Player 2's position is Player 1's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
c. Player 2's position is Player 1's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
d. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Answer:
B
Step-by-step explanation:
1. Plot the points on a graph (reflected across x-axis)
The Medical College Admissions Test (MCAT) is a standardized, multiple-choice examination created to help medical school admissions officers assess a medical school applicants problem solving and critical thinking skills, as well as knowledge of natural, behavioral, and social science concepts and principles prerequisite to the study of medicine. The lowest raw total score on the test is 472 while the highest raw total score is 528. For the current version of the MCAT, the population mean is 501.1 and the population standard deviation is 10.6 points.
1. Alison scored 515 on the MCAT. What is the percentage of test takers who scored less than Alison (what is the percentile rank associated with a raw score of 515)?
2. Kamal scored higher than 82% of the test takers. What is Kamal's percentile—what is Kamal's score on the MCAT?
3. What percentage of test takers scored between 505 and 510 on the MCAT?
Answer:
1. 90.49% of test takers scored less than Alison.
2.
Kamal scored in the 82th percentile.
Kamal's score was of 510.8.
3. 15.52% of test takers scored between 505 and 510 on the MCAT.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For the current version of the MCAT, the population mean is 501.1 and the population standard deviation is 10.6 points.
This means that [tex]\mu = 501.1, \sigma = 10.6[/tex]
1. Alison scored 515 on the MCAT. What is the percentage of test takers who scored less than Alison (what is the percentile rank associated with a raw score of 515)?
The proportion is the pvalue of Z when X = 515. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{515 - 501.1}{10.6}[/tex]
[tex]Z = 1.31[/tex]
[tex]Z = 1.31[/tex] has a pvalue of 0.9049
0.9049*100% = 90.49%
90.49% of test takers scored less than Alison.
2. Kamal scored higher than 82% of the test takers. What is Kamal's percentile—what is Kamal's score on the MCAT?
Kamal scored in the 82th percentile.
His score is the value of Z when Z has a pvalue of 0.82. So X when Z = 0.915.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.915 = \frac{X - 501.1}{10.6}[/tex]
[tex]X - 501.1 = 0.915*10.6[/tex]
[tex]X = 510.8[/tex]
Kamal's score was of 510.8.
3. What percentage of test takers scored between 505 and 510 on the MCAT?
The proportion is the pvalue of Z when X = 510 subtracted by the pvalue of Z when X = 505. So
X = 510
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{510 - 501.1}{10.6}[/tex]
[tex]Z = 0.84[/tex]
[tex]Z = 0.84[/tex] has a pvalue of 0.7995
X = 505
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{505 - 501.1}{10.6}[/tex]
[tex]Z = 0.37[/tex]
[tex]Z = 0.37[/tex] has a pvalue of 0.6443
0.7995 - 0.6443 = 0.1552
0.1552*100% = 15.52%
15.52% of test takers scored between 505 and 510 on the MCAT.
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 fort and enter your answer as a decimal.
MA
As
d=8
MY
Co
MY
units
Answer:
[tex]A=50.24\ \text{unit}^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the circle, d = 8 unit
Radius, r = 4 units
We need to find the area of the circle. The formula for the area of a circle is given by :
[tex]A=\pi r^2\\\\A=3.14\times 4^2\\A=50.24\ \text{unit}^2[/tex]
So, the area of the circle is equal to [tex]50.24\ \text{unit}^2[/tex].
how do i find r in a geometric sequence of (243, 81, 27)? also how do i find the explicit formula for this?
Answer:
Step-by-step explanation:
The initial term is 243. Since it is a geometric sequence, each term is r times the preceding term.
r = 81/243 = ⅓
nth term = a₁rⁿ⁻¹ = 243(⅓)ⁿ⁻¹
What is 25& of 140?
Answer:
35
Step-by-step explanation:
Answer:
The answer is 35
Hope this helps :>
Find the volume of the figure. Round to the tenths if necessary
Answer:
308.9 cm³
Step-by-step explanation:
6x3.9x13.2=308.88
Please answer ASAP this is due tomorrow
Which camera is the farthest from the surface of the water?
Sorry if the picture is blurry! I tried my best!
Answer:
fish camera
Step-by-step explanation:
I think I took the quiz
Answer:
B hope this helps
Step-by-step explanation:
The table shows values for a quadratic function.
x
у
0
0
1
2
2
8
3
18
4
32
5
50
72
6
What is the average rate of change for this function for the interval from x = 2
to x = 4?
o
A. 16
B. 8
C. 18
O D. 12
Answer:
D. 12
Step-by-step explanation:
The average rate of change between the interval, x = 2 to x = 4, in the given function is: D. 12.
What is the Average Rate of Change Within an Interval?Average rate of change = change in y / change in x = (y2 - y1)/(x2 - x1).
Given the interval of the function, as x = 2 to x = 4, we have:
(x1, y1) = (2, 8)
(x2, y2) = (4, 32)
Average rate of change = change in y / change in x = (32 - 8)/(4 - 2) = 24/2
Average rate of change = 12
Learn more aboout average rate of change on:
https://brainly.com/question/11627203
#SPJ5
200% of what number is 66?
Answer:
33
Step-by-step explanation:
Because 66 is 200% just divide that by 2. Then 33 would be 100%
what is 4.42 - 1.26 equal
Answer:
3.16
Step-by-step explanation:
4.42 - 1.26 = 3.16
11231×12+117271-67473
Answer:
the answer is 184570
Step-by-step explanation:
The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypotenuse into line segments of length x and y. Solve for h,x, and y.
Answer:
[tex]h = 12[/tex]
[tex]x = 9[/tex]
[tex]y= 16[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find h, x and y
Let the base of the triangle be 15.
So, the area is:
[tex]A = \frac{1}{2} * 15 * 20[/tex]
[tex]i.e\ height = 20[/tex]
[tex]A = \frac{1}{2} * 300[/tex]
[tex]A = 150[/tex]
Let the base of the triangle be 25.
So, the area is:
[tex]A = \frac{1}{2} * 25 * h[/tex]
[tex]i.e\ height = h[/tex]
[tex]A = \frac{1}{2} * 25h[/tex]
Substitute [tex]A = 150[/tex]
[tex]\frac{1}{2}*25h = 150[/tex]
Solve for h
[tex]h = \frac{150 *2}{25}[/tex]
[tex]h = 6 *2[/tex]
[tex]h = 12[/tex]
Considering the smallest triangle
[tex]Hypotenuse = 15[/tex]
So:
[tex]15^2 = h^2 + x^2[/tex]
[tex]15^2 = 12^2 + x^2[/tex]
This gives:
[tex]15^2 - 12^2 = x^2[/tex]
[tex]81 = x^2[/tex]
Take square roots
[tex]9 =x[/tex]
[tex]x = 9[/tex]
Solving for y
[tex]x + y = 25[/tex]
[tex]y= 25 - x[/tex]
[tex]y= 25 - 9[/tex]
[tex]y= 16[/tex]
PLZ HELP
which of the following is true
2 + 21 =27
2 + 21 = 32
2 + 21 = 23
the net of a retangular prism is shown below. The surface area of each face is labeled. 12 square centimeters, 12 square centimeters, 18 square centimeters, 18 square centimeters, 24 square centimeters, and 24 square centimeters. which values represent the dimentions, in centimeters, of the retangular prism?
HELP QUICKLY PLEASE
Answer:
76
Step-by-step explanation:
PLEASEEEEE I NEED HELPPPPP !!!!!!!
I need help ASAP will mark the brainliest
Answer: 7,3
Step-by-step explanation: do the x line the y line (not the best explanation)
Answer:
16,7
Step-by-step explanation:
The answer is 16,7 because y value will go up 3 since the JKLM is the same and x value will go right 10.
Y+3, x+10
Hope this help!
The U.S. Postal Service is to deliver a letter to a certain postal ZIP 4 code. Find the probability that the ZIP 4 code is correct if the sender (a) randomly chooses the code, (b) knows the five-digit code but must randomly choose the last four digits, and (c) knows the five-digit code and the first two digits of the plus 4 code.
Answer:
State City ZIP Code(s)
Arizona (AZ) Phoenix 85001 thru 85055
Arkansas (AR) Little Rock 72201 thru 72217
California (CA) Sacramento Los Angeles Beverly Hills 94203 thru 94209 90001 thru 90089 90209 thru 90213
Colorado (CO) Denver 80201 thru 80239
Step-by-step explanation:
Hope This Helps!!!!!!!
A photocopy machine was sold at 12% discount with 13% VAT. If the customer paid Rs. 3,57,984 then find VAT amount and discount amount.
Answer:
See the answers below
Step-by-step explanation:
Given data
Discount=12%
VAT= 13%
Amount paid= Rs. 3,57,984
The amount of VAT
=13/100*3,57,984
=0.13*357984
= Rs. 46537.92
The amount of discount
=12/100*3,57,984
=0.12*357984
= Rs. 42958.08
17. The base of a 30-foot ladder is placed 11 feet from the building. How
high up the building does the ladder reach, to the nearest foot? *
Solve.
10x^2 - 6 = 9x
Answer:
B
Step-by-step explanation:
use quadratic formula: (-b ±√b²-4ac) ÷ 2a
a = 10, b = -9, c = -6
A swimming pool is 14 yards long and 6 yards wide.Which equation can you use to find the area of the bottom of the pool?
. Bree sold 2 paintings for $95 each,
5 stone sculptures for $64 each, and
1 mini-bronze sculpture for $150 in the
month of April. Bree doubled her sales
in May. How much were her total sales in
April and May?
A flying disc has a radius of 10 inches. What is the area of one side of the flying disc to the nearest square inch? Use 3.14
as an approximation for .
A pyramid has a rectangular base that is 5 cm wide and 9 cm long. The height of the pyramid is 10 cm.
10 cm
5 cm
9 cm
What is the volume of the pyramid?
Answer: 450 cm
Step-by-step explanation:
10 x 9 = 90 x 5 = 450
if James have 12 books and Jack has 15 who has more
Answer:
Jack
Step-by-step explanation:
Jack has more books because 15 is more than 12
lol
The least common denominator of 2/5, 1/2, and 3/4 is:
Answer:
20
Step-by-step explanation:
20 is the least common denominator
2/5, 1/2, and 3/4 fractions have a Least Common Denominator of 20.
What is Least Common Denominator?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have to determine the Least Common Denominator of fractions 2/5, 1/2, and 3/4
We need to calculate the factors of the denominators 5, 2, and 4.
⇒ 5 = 5 × 1
⇒ 2 = 2 × 1
⇒ 4 = 2 ×2 × 1
The LCD would be:
⇒ 5 × 2 ×2 × 1 = 20
Hence, 2/5, 1/2, and 3/4 fractions have a Least Common Denominator of 20.
Learn more about the lowest common denominator here:
brainly.com/question/8413590
#SPJ2
100 POINTS AND BRAINLIEST !!!!! (I need the answer ASAP) A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play area A, and the length must be 2 feet longer than three times its own width. In addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement describes the number and viability of the system’s solutions?
A.
The system has two solutions, and both are viable because they result in positive widths.
B.
The system has only one solution, but it is not viable because it results in a negative width.
C.
The system has two solutions, but only one is viable because the other results in a negative width.
D.
The system has only one solution, and it is viable because it results in a positive width.
Answer:
D.
Step-by-step explanation:
I'ts just reading the question over and over.
Answer:
The Answer is C
Step-by-step explanation:
I blessed you all and just guessed on the test on Plato/Edmentum and this was the right answer.
Each of the 20 students in Mr. Anderson's
class flipped a coin ten times and recorded
how many times it landed on tails. How
many tails would a student expect to see
out of ten tosses?
Answer:
5.
Step-by-step explanation: Because when you flip a coin it has 2 sides, a 50/50 to get heads or tails. But theoretically it could be infinitely any combination. Though 5 tails would be the best choice.