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Bogdan [553]
3 years ago
13

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviat

ion of 50. If an applicant is randomly selected, find the probability of a rating that is between 170 and 220. Group of answer choices 0.2257 0.1554 0.0703 0.3811
Mathematics
1 answer:
Alika [10]3 years ago
6 0

Answer:

P(170

And we can find the probability with this difference:

P(-0.6

And using the normal standard table or excel we got:

P(-0.6

And the best answer would be:

0.3811

Step-by-step explanation:

Let X the random variable that represent the ratings of a population, and for this case we know the distribution for X is given by:

X \sim N(200,50)  

Where \mu=200 and \sigma=50

We are interested on this probability

P(170

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

Using the z score we got:

P(170

And we can find the probability with this difference:

P(-0.6

And using the normal standard table or excel we got:

P(-0.6

And the best answer would be:

0.3811

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emmainna [20.7K]

Answer:

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2y^3 / x^2 - y^2

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5 0
2 years ago
Identify an equation in slope intercept form for the LINE parrelel to y=5x+2 that passes through - 6,-1
nlexa [21]

Answer:

y = 5x-1

Step-by-step explanation:

parallel lines have the same slope.

y intercept: -1

slope: 5

- 1 is the same as +-1

so, y = 5x-1

7 0
3 years ago
The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six
irina [24]

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑(\frac{x^{2} }{8}) - (mean^{2})

where x = values of the set.

For Pawnee:

mean^{2} = 3.13^{2} = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

mean^{2}  = 4.25^{2} = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location

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3 years ago
Solve the simultaneous equation:<br>2x+3y=13<br><br>X+2y=9​
Neko [114]

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

8 0
3 years ago
Please tell fast plzzzzzz​
laiz [17]

Answer:

x=90-44=46is your answer

8 0
3 years ago
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