Answer:
Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Average cumulative debt of recent college graduates is about $22,500, standard deviation of $7,000.
This means that [tex]\mu = 22500, \sigma = 7000[/tex]
Proportion more than 30000.
1 subtracted by the pvalue of Z when X = 30000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30000 - 22500}{7000}[/tex]
[tex]Z = 1.07[/tex]
[tex]Z = 1.07[/tex] has a pvalue of 0.8577
1 - 0.8577 = 0.1423
Approximately how many recent college graduates have accumulated a student loan of more than $30,000?
0.1423 out of 1.8 million.
0.1423*1.8 = 0.25614 million = 256,140
Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.
A certain television is advertised as a 25-inch TV (the diagonal length). If the width of
the TV is 24 inches, how many inches tall is the TV?
Answer:
The TV is 7 inches tall.
Step-by-step explanation:
Use the pythagorean theorem.
[tex]a^2 + b^2 = c^2\\24^2 + b^2 = 25^2\\576 + b^2 = 625\\b^2 = 49\\b = 7[/tex]
Answer:
Step-by-step explanation:
I think 600 inches
That is multiplying the 25 by the 24 inches length
Please need help thank
add all of it
Step-by-step explanation:
toghthet and you will get ur answer
PLEASE HELP DUE IN 3 minutes
Answer: 15 swimmer younger than 30 years old
Step-by-step explanation:
El precio de cada acción de una empresa de tecnología ha presentado a través del tiempo un comportamiento dado por la siguiente función:
Donde t es el tiempo dado en días y A es el precio de la acción inicial cuando t = 0. Un inversionista desea conocer el número de días para el cual el valor de la acción se duplica. Para conocer este resultado, el proceso que se debe realizar es reemplazar f(t) por
A.
A/2, luego, expresar la ecuación en forma de logaritmo natural y ahora despejar t.
B.
2A, luego, expresar la ecuación en forma de logaritmo natural y ahora despejar t.
C.
2A, luego, dividir ambos lados de la ecuación por e y ahora despejar t.
D.
A/2, luego, dividir ambos lados de la ecuación por e y ahora despejar t.
I will ask you to turn it in english instead of española.
Explicit formula for
1,5,3,6,12
sorry I needed the points!
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?
Answer:
0.7
Step-by-step explanation:
2,3,4,6,8,9,10 are the possible choices.
∴P(even no. or multiple of 3)
= 7/10
Answer:
7/10 or 70%
Step-by-step explanation:
1 no
2 yes
3 yes
4 yes
5 no
6 yes
7 no
8 yes
9 yes
10 yes
7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them
Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive content as it did centuries ago. If this is true, the amount of 14C absorbed by a tree that grew several centuries ago should be the same as the amount of 14C absorbed by a tree growing today. A piece of ancient charcoal contains only 12% as much radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal given that the half-life of 14C is 5700 years? (Round your answer to the nearest whole number.)
You can download answer here
tinyurl.com/wpazsebu
What is the mode of the set of numbers below
25, 14, 33, 17, 14, 8
A. 14
B. 16
C. 17
D. 19
(no link please)
HELPPP
Ok i think i can help, 90-30=60, and 60/3=20, so the answer would be 70!
I’ll give points and brainalist for correct answer
Answer:
A. 2
Step-by-step explanation:
Circumference of a circle = 2πr
if π = 3.14
and C = 6.28
6.28 = 2(3.14)r
r= 1
d= 2r
d= 2 * 1
d= 2
Solve the system of equations
4x+3y=16
y=x+3
X=
Y=
First you substitute.
[tex]4x+3(x+3)=16\\4x+3x+9=16\\7x=7\\x=1\\y=4[/tex]
Answer:
x = 1 and y = 4
Step-by-step explanation:
Because y = x + 3 we can substitute 3y with 3(x + 3)
4x + 3(x + 3) = 16
4x + 3x + 9 = 16
7x + 9 = 16
7x + 9 - 9 = 16 - 9
7x = 16 - 9
7x = 7
7x ÷ 7 = 7 ÷ 7
x = 7 ÷ 7
x = 1
Since y = x + 3 and x = 1 y = 4.
1 + 3 = 4
x = 1 and y = 4
Check:
x = 1 and y = 4
1 x 4 + 3 x 4 = 16
4 + 12 = 16
What is 18.5% of 500?
Answer:
92.5
Step-by-step explanation:
18.5% = 0.185
0.185 x 500 = 92.5
Hope that helps!
Answer: 92 1/2 or 92.5
Step-by-step explanation:
how to solve?
Put it into a percent proportion :D!
Percent proportion is is/of=%/100 or a/w=p/100
The a stands for "part"
and the w stands for "whole"
p stands for "percent"
Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.
Since they did NOT give you what the "is" is, you put the variable "a"
a/ =
Next,
Since it said "of"
You put of underneath the unknown number "is" (a)
a/500=
Now put in the percent
a/500=18.5/100
Now cross multiply!
Then you should get 92.5!
HOPE THIS HELPS :DDD
Will give brainliest
a. 336 cubic centimeters
b. 48 cubic centimeters
c. 248 cubic centimeters
d. 168 cubic centimeters
Answer:
A.336 cubic centimeter
Step-by-step explanation:
6cm×8cm×7cm=336
A politician is running for a state representative position. She wants to know what her chances of winning are.
Which method is MOST LIKELY to give a random sample of voters?
A Survey people in several different cities throughout the state
B Survey people who volunteer at political events
C Survey college students at a state college
D Survey people who ride public transportation
Answer:Yeet
Step-by-step explanation:
Charles sells computer hardware for a computer manufacturer. He is paid 4% for
the first $8,000 of sales, 6% on the next $10,000, and 8.5% on sales over
$18,000. What is his commission on $16,250 in sales? *
James think of a two digit number it is a cube number
Step-by-step explanation:
64 IS A TWO DIGIT NUMBER WHICH IS THE CUBE OF 4.
ALSO, 64 IS A EVEN NO. WHICH IS DIVISIBLE BY 2.
Using the LSRL model, estimate the volume of a gas 2.5, 4.5, and 6.5 atmospheres
Answer:
Brett is working in the chemistry lab trying to determine if he can predict the volume of three different gases (nitrogen, oxygen, and carbon dioxide) based upon the pressure applied to them. He kept all other characteristics of the gases constant. Brett performed the following analysis:
9-60 Graph
9-60 Residuals
Discuss the association, including slope and -squared.
Hint (a):
What is the residual with the greatest magnitude and what point does it belong to?
Hint (b):
Answer (b):
Using the LSRL model, estimate the volume of a gas at , and atmospheres. Use an appropriate precision.
Hint (c):
Answer (c):
How well would this linear model work in predicting more extreme pressures? Support your answer.
Hint (d):
Find the area of the rectangle shown. 0.3 in. 0.6 in.
Answer:
The answer is 0.18
Step-by-step explanation:
All you have to do is multipy length x width
Find the volume of a pyramid with a square base, where the side length of the base is 10.6\text{ in}10.6 in and the height of the pyramid is 12.3\text{ in}12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
460.7
Step-by-step explanation:
Answer:
460.7
Step-by-step explanation:
it just 460.7
Shiro and Tatiana weighed some pebbles in
science class. They made a line plot to display
their data. Use the line plot to answer
Answer:
The answer is below
Step-by-step explanation:
a) Of the pebbles that were measured, which weight occurs the least?
Soln.: From the line plot, we can see that 3 ounce occurred once, 3 1/2 ounce occurred 4 times, 4 ounce occurred 3 times, 4 1/2 ounce occurred 5 times, 5 ounce occurred 2 times, 5 1/2 ounce occurred 3 times, 6 ounce occurred 2 times.
Therefore 3 ounce occurred the least.
b) What is the total weight of the pebbles represented by the data?
Soln.: The total weight is:
Total weight = (3*1) + (3 1/2 * 4) + (4 * 3) + (4 1/2 * 5) + (5 * 2) + (5 1/2 * 3) + (6 * 2) = 90 ounce
c) Is there an outlier in the data set? If so what number is the outlier?
Soln.: There is no outlier in the data set because all the data are close to each other.
what is the best way to describe | -2| ?
Answer:
2
Step-by-step explanation:
5x−y=10 3x+y=14 please solve the system of equations and show your work
Answer:
x = 3, y = 5
or (3,5) in coordination point form.
Step-by-step explanation:
We are going to solve the system of equations by combining two equations. To do that, we isolate y-term.
[tex] \large{\begin{cases} 5x - y = 10 \\ 3x + y = 14 \end{cases}}[/tex]
Convert both equations to slope-intercept form.
[tex] \large{ \begin{cases} y = 5x - 10 \\ y = - 3x + 14 \end{cases}}[/tex]
Then combine both equations
[tex] \large{5x - 10 = - 3x + 14} \\ \large{5x + 3x = 10 + 14} \\ \large{8x = 24} \\ \large{x = 3}[/tex]
Substitute x = 3 in one of given equations. I will substitute x = 3 in y = 5x-10
[tex] \large{y = 5x - 10} \\ \large{y = 5(3) - 10} \\ \large{y = 15 - 10} \\ \large{y = 5}[/tex]
Hope this helps!
1 Arrange the given numbers in ascending order
-25, 30, 16,-19,-1,0
Answer:
-25,-19,-1,0,16,30
Step-by-step explanation:
as you go to the left side of a number line the number get smaller and as you go to the right side of a number line the numbers get bigger (larger).
Hope I got the right answer!
How many square feet of outdoor carpet will we need for this hole?
Answer:
The feet square of the outdoor carpet you will need for the hole is 30 feet.If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?
(3, -5)
(3, 5)
(-5, 3)
(5, -3)
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
How to determine which of the following must be an ordered pair of the inverse of f(x)To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.
Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.
Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:
x = f(y)
Substituting f(3) = -5:
3 = f(y)
Therefore, the inverse function of f(x) is y = 3.
Now, let's check which of the given ordered pairs satisfies the inverse function:
- For (3, -5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.
- For (3, 5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.
- For (-5, 3):
When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.
- For (5, -3):
When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
Learn more about inverse function at https://brainly.com/question/3831584
#SPJ2
You roll a die. What's the theoretical probability of rolling a number greater than 2?
Answer: if the dice is six sided you have 4 chances to roll a higher number
Step-by-step explanation:
Answer:
3 in 36
Step-by-step explanation:
assuming a fair die you have three possible odd numbers out of six total possible outcomes so the probability is 0. the prob ability of getting an even number greater than 2 when rolling standard die must be 1/3. The probability of doing both, on two rolls, is 3 in 36, or 1 in 12.
2 questions
when can you combine like terms?
when can you NOT combine like terms?
( do not put the definiton of like terms i only need these questions answered)
Answer:
You can combine like terms when they have the same variable, same category, or same coefficient. You CANNOT combine like terms when they have none of the attributes listed above. For example, you can combine 7x and 20x, just like you can combine 3 and 4, but you can't combine 3x & 5(x^2), or 9x and 73.
Branliest to correct answer please explain how you got your answer :)
Answer: 25%
Step-by-step explanation:
Let's take our given numbers
20% you win both checkers and chess against your friend
30% you win against your friend in chess
Now we take both probability's 20% and 30%
We are know working with a probability out of 200%
Let's add 20% and 30%
20%+30%=50%
Now 50% of 200% is
25%
✎Question:Amirah is 4 years elder than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47, find their respective ages ✔
Answer:
Priya's age = 15
Amirah's age = 19
Shirley's age = 13
Step-by-step explanation:
Let x be the age of Priya.
According to the question,
Amirah's age = x + 4
Shirley's age = x - 2
Their sum is 47.
So,
x + 4 + x + x - 2 = 47
3x + 2 = 47
3x = 47 - 2
3x = 45
x = 45/3
x = 15
So,
Priya's age = 15
Amirah's age = 15 + 4 = 19
Shirley's age = 15 - 2 = 13
Answer:
Priya is 15 years old
Amirah is 19 years old and
Shirley is 13 years old
Step-by-step explanation:
let Amirah =x
let Priya = y
let Shirley = s
so we have
x= 4+y
s=y-2
x+y+s =47
we have x= 4+y
4+y+y+s=47
4+2y+s=47
2y+s=43
s-y=-2 (MULTIPLY BY NEGATIVE 1)
y-s =2
2y+s= 43
by solving simultaneously we get
3y= 45
y=15
x= 4+y
x=19
s=y-2
s= 13
so Priya is 15 years old
Amirah is 19 years old and
Shirley is 13 years old
What is the current value for a future sum of money called?
A. Current value
B. Present value
C. Future value