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Nikitich [7]
3 years ago
9

A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 an

d a standard deviation of 80. Find the credit score which separates the lower 80% from the top 20%. g
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

The answer is "778"

Step-by-step explanation:

Given value:

\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84

The formula for z-score:

\to x = z \times  \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x=  778.2\\\\ \to x= 778

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The senior classes at High School A and High School B planned separate trips to Lake Compounce. The senior class at High School
storchak [24]

Answer:

Number of students in vans =15 and bus =46

Step-by-step explanation:

use variables for the vans and buses

let x= vans and y=buses

Now solve the 2 equations simultaneously

<em><u>remember</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>equations</u></em>

6x+7y=412..........1

6x+9y=504.........2

make x the subject of one equation

and label it equation 3

6x=412—7y

x =  \frac{206}{3}  -  \frac{7y}{6} .............3

subs 3 into 2

6( \frac{206}{3}  -  \frac{7y}{6} ) + 9y = 504

412 - 7y + 9y = 504

- 7y + 9y = 504 - 412

2y = 92

y = 46...................4

subs 4 into 1

6x + 7(46) = 412

6x + 322 = 412

6x = 412 - 322

6x = 90

x = 15

Therefore there are 15 students in each van and 46 students in each bus.

3 0
3 years ago
Help.. Suppose Q is the midpoint of PR
8090 [49]

Answer:

3x+41 or 38

Step-by-step explanation:

If Q is the midpoint of Line PR, then lines PQ and QR add up to equal Line PR. We then get

PQ=6x+25\\QR=16-3x\\PQ+QR=PR\\6x+25+16-3x=PR\\3x+41=PR\\

If you want to know the exact number that PR is, we can do additional steps where PQ = QR.

PQ=6x+25\\QR=16-3x\\PQ=QR\\6x+25=16-3x\\9x+25=16\\9x=-9\\x=-1\\\\3x+41=PR\\3(-1)+41=PR\\-3+41=PR\\38=PR\\PR=38

6 0
3 years ago
students need to paint 500 pumpkins for the fair. They already painted 193. How many pumpkins are left to paint?
lys-0071 [83]
You would subtract the the amount painted from 500.
500-193=307
They have to paint 307 more.
3 0
3 years ago
Read 2 more answers
9x+2y-27z=-155 -11x-y+37z=208 19x+6y-52z=-304
Paladinen [302]

Answer:

(x,y,z)=( -2, -1 ,5)

Step-by-step explanation:

9x+2y-27z=-155                                                        (1)

-11x-y+37z=208                                                        (2)

19x+6y-52z=-304                                                     (3)

(1) *3   ;(2) *6     ;(3)*1, you have

27x+6y-81z=-465                                                      (1)

-66x-6y+222z=1248                                                 (2)

19z+6y-52z=-304                                                      (3)


(1) +(2), you have

-39x+141z= 783                                                       (4)

(4) /3, you have

-13x +47z=261                                                          (4)


(2) +(3), you have

-47x+170z=944                                                       (5)


From ( 4) and (5), you have equations

-13x +47z=261                                                         (4)

 -47x+170z=944                                                       (5)


(4)*(-47);    (5)*13,  you have

611x-2209z=-12,267                                              (4)

-611x+2210z=12,272                                              (5)


(4)+(5), you have

z=5

Replace z=5 in (4), you have

611x- 2209*5=-12,267

611x- 11,045 =-12,267

611x=-1222

x= -2

Replace x=-2, z=5 in (1) , you have

9*(-2) +2y -27*5=-155

-18+2y-135=-155

-18+2y=-20

2y=-2

y=-1

Result (x,y,z)=( -2, -1 ,5)









3 0
3 years ago
Which set of equations has (2, 2) as its solution? (4 points) A and D B and D A and C B and C
Andrej [43]
I don't think there are any equations that passes through (2,2). Please clarify
4 0
3 years ago
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