Answer:
a) The credit score that defines the upper 20% is 705.
b) Eighty-five percent of the customers will have a credit score higher than 470.38.
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 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.
Mean of 600 and a standard deviation of 125.
This means that [tex]\mu = 600, \sigma = 125[/tex]
(a) Find the credit score that defines the upper 20 percent.
This is the 100 - 20 = 80th percetile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 600}{125}[/tex]
[tex]X - 600 = 0.84*125[/tex]
[tex]X = 705[/tex]
The credit score that defines the upper 20% is 705.
(b) Eighty-five percent of the customers will have a credit score higher than what value?
This is the 100 - 85 = 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.037 = \frac{X - 600}{125}[/tex]
[tex]X - 600 = -1.037*125[/tex]
[tex]X = 470.38[/tex]
Eighty-five percent of the customers will have a credit score higher than 470.38.
25 liters of water are pumped into a dam in 20 seconds
how much water will be pumped in within 3 minutes??? help please
1 minute = 60 seconds.
3 minutes x 60 seconds = 180 seconds.
180 seconds / 20 = 9
25 liters x 9 = 225
Total water in 3 minutes = 225 liters
Answer:
225 liters
Step-by-step explanation:
There is 25 liters in 20 seconds, so you keep adding 20 seconds while adding 25 liters each time. 180 = 3 minutes
25 20
50 40
75 60
100 80
125 100
150 120
175 140
200 160
225 180
Please help me or would be greatly appreciated
9514 1404 393
Answer:
A. 40° and 40°
Step-by-step explanation:
The triangle cannot have two angles measuring 100°, so the remaining two angles must be equal to each other. This eliminates choices B and D.
The sum of angles in the triangle must be 180°. This eliminates choice C.
The two other angles must both be (180° -100°)/2 = 40°.
Which is a feature of function g if g(x) = -f(x-4)
A) Y-Intercept at (0,-4)
B) X- intercept at (5,0)
C) vertical asymptote of x=-4
D) horizontal asymptote of Y=4
Answer:
B
Step-by-step explanation:
Plato
The x- intercept of g(x) is at (5,0), the correct option is B.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = -f(x-4)
The x intercept is when y =0
The function in the graph f is 0 at x =1
g(x) = -f( 5-4) = -f(1) = 0
To know more about Function
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calculate the 25% of 6 hours 20 minutes
6 hours and 20 mintues = 380 mintues
25% of 380 = 95 mintues = 1 hour and 35 mintues
Step-by-step explanation:
your welcome also use the website calculator.net it had a percentage calculator
Answer:
The answer is 95 minutes.
Step-by-step explanation:
1. Convert 6 hours to minutes which would lead to 360 minutes.
2. 360 minutes + 20 minutes = 380 minutes.
3. Now find 25% of 380 minutes.
How I found 25%.
1. 50% of 380 = 190.
2. 50% of 190 = 95.
Now since the half of our base half is 95 then 2 halfes are 2 25% but we need 1 only so we can conclude that, 25% of 380 minutes is 95.
Hope this helped :).
help for 10 points plsssss
Answer:
on math way you can take a picture of your problem. hope those helps
Step-by-step explanation:
Find the square root of -162 and please explain your answer
Answer:
12.7279221 i
Step-by-step explanation:
Round to 13 or 12.7
Which table of values represents a linear functions?
Answer:
D
Step-by-step explanation:
find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0
Answer:
The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.
Step-by-step explanation:
What is the length of DE?
O 1 unit
O 3 units
O
4 units
4 units
o
Answer:
3 units :D
Step-by-step explanation:
The figure below is formed from a triangle and a
square. The square has sides that measure 5 units.
Find perimeter of the entire figure.
someone do this pls help?
ans.................
The answer is 7/5
Please help:)
Answer:
AB = 1.4 or 7/5
Step-by-step explanation:
(Excuse my rambling but I wanted to be sure of myself)
AD = 2(5/2) = 5
AD is a diameter.
any triangle in a circle with the hypotenuse as the diameter is a right triangle.
Draw a line from point A to point C.
ΔACD is a right triangle.
Solve for ∠CAD:
sin CAD = 3/5 = 0.6000
∠CAD = 36.87°
arc CD = 2 x 36.87° = 73.74°
arc BC = arc CD = 73.74°
arc DB = 147.48°
∠BAD = 1/2 (147.48°) = 73.74°
draw a line from point D to point B
ΔBAD is a right triangle.
cos 73.74° = AB/5
AB = 1.4
Solve the equation for x: 126 = 3x.
A. x = 378
B. x = 129
C. x = 123
D. x = 42
Answer:
The answer is answer D, x=42.
Step-by-step explanation:
To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.
Write the equation for a line with a slope of 1/3 that passes through the point 6,12
Answer:
y-12=1/3(x-6)
Step-by-step explanation:
Using the slope intercept form:
[tex]y - yo = m(x - xo) [/tex]
We can see from the given point (6,12) that yo = 12 and xo = 6. The slope, m, is 1/3. Plugging in the values gives us this equation in slope-intercept form that can then be converted to any other form.
Emilio spent $21 at the state
fair. He paid $3 for admission and bought
12 tickets for rides. Solve the equation
12t +3= 21 to find the cost of each
ticket
Answer:
t = $1.5Steps:
12t+3 = 21
12t = 21-3
12t = 18
t = 18/12
t = 3/2
t = $1.5PLEASE HELP DUE IN 3 minutes
Answer:
Answer is B
Step-by-step explanation:
As part of a school project, Tim and Jesse decide to build a birdhouse. Tim plans to house bluebirds in his birdhouse and Jesse hopes to attract wrens. Tim decides to make the floor of his birdhouse a square that measures
inches on all sides. The piece of lumber that he uses for the floor is
inches wide. How much will he need to cut off of the width of the board to make the floor?
A .3 1/4
B. 2 1/4
C.3 1/2
D. 2 3/4
Answer:
The answer is 2 3/4
Step-by-step explanation:
Write an equation for a term value of 14. Solve your equation.
Answer:
[tex]x {}^{2} - 2x - 1 = 14 \: where \: x = 5[/tex]
A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?
Answer:
Step-by-step explanation:
if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,
the sale price was
(17,500*100)/0.07=250,000
A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.
Answer:
Step-by-step explanation:
Yolanda will run more than 33 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as an inequality solved for t.
Answer:
Based on the question, Yolanda will run less than 26 miles but more than 16 miles (because she has already attained 16 miles in total).
Step-by-step explanation:
sorry if im late
At the book sale, all books cost less than $5.
Answer:
then the books will cost 5.30
Step-by-step explanation:
don't forget to add 6 cents per dollar
Find the linear equation that is the straight line through (1, 2) and (8, 30).
Answer:
y = 4x - 2
Step-by-step explanation:
→ First find the gradient
[tex]\frac{x2-x1}{y2-y1} =\frac{30-2}{8-1} = 4[/tex]
→ Put into y = mx + c format
y = 4x + c
→ Substitute ( 1 , 2 ) into y = 4x + c
2 = 4 + c so c = -2
→ Rewrite into equation format
y = 4x - 2
Urgent help please !!!
Answer:
The answer is A. 3x + 3
Step-by-step explanation:
Umm yea its that
A school buys 1,950 pencils. The pencils are sold in boxes, with 30 pencils in each box. If each box costs $4.05, what is the total cost, in dollars, that the school will pay for the pencils?
Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.
Answer:
40°
Step-by-step explanation:
z+90+y+x=180°
z+90+30+40=180°
z=40°
Angle Z would be 40°
The top half of the image is 180° In total and the red square represents 90°,
And since angle X is 20° and angle Y is 30° thats 50° total leaving a total of 40° unknown for the top half making that 40°
Answer: Z=40°
Does anyone know please
Answer:
the answer would be A 16cm
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
What is the 100th term of this sequence:
an=2n-5
The 100th term of the sequence is 195.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
a(n) = 2n - 5
For n = 100,
a(100):
= 2 x 100 - 5
= 200 - 5
= 195
Thus,
The 100th term is 195.
Learn more about arithmetic sequence here:
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Help please hurry it not a test but hurry no links, please
Answer:
33 1/3%
Step-by-step explanation:
The percentage change is ...
difference/base × 100% = (120000 -90000)/90000 × 100%
= 1/3 × 100% = 33 1/3%
