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AleksandrR [38]
4 years ago
7

Suppose two people, mary and carrie, are up for the same job. mary took the american test of academic ability and received a sco

re of 124 on this test. scores on this test are normally distributed with a mean of 110 and a standard deviation of 8. carrie took the national academic achievement test and received a score of 289. scores on this test are normally distributed with a mean of 250 and a standard deviation of 20. when being considered for the job, both of these tests count equally. find the z score that corresponds to marys test score and the z score that corresponds to carries test score. round to the nearest thousandth.
Mathematics
1 answer:
jarptica [38.1K]4 years ago
3 0
Z-scores (left tail) of a given variable X are calculated by
Z(x)=(x-mean)/standard deviation.
For Mary:
Zm(124)=(124-110)/8=14/8=1.75
For Carrie:
Zc(289)=(289-250)/20=39/20=1.95
therefore
Zc>Zm
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timurjin [86]

Answer:

35.35%

Step-by-step explanation:

If there were no deductibles, the expected claim payment would be:

E(X) = \frac{10,000 +1,000}{2} \\E(X) =\$5,500

If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:

E_2(X)=\frac{2,000-1,000}{10,000-1,000} *0+\frac{10,000-2,000}{10,000-1,000}*\frac{(2,000-2,000)+(10,000-2,000)}{2} \\E_2(X)=\frac{8}{9}*\frac{0+8,000}{2}\\ E_2(X)=\$3,555.56

The percentage reduction on the claim payment is:

P=(1-\frac{E_2(X)}{E(X)})*100 \\P=(1-\frac{3,555.56}{5,500})*100\\P=35.35\%

There was a 35.35% reduction.

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3 years ago
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lutik1710 [3]

Answer:

Step-by-step explanation:

95%+15%=110% so, 110%-100% is 10% and this means that 10% of both, costs 1.20. now, 10 times 1.20 is 12 dollars and we know that the whole purchace costs 12 dollars. 15 percent of 12 dollars is 1.8 dollars or, one dollar and 80 cents

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Nadusha1986 [10]

There are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional shape shown in the picture with dimensions.

The total cubic units = 4×3×5 = 60 cubic cm

We can measure the volume with units of mm³, cm³, m³, km³

We can draw a relation between them:

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For the first picture, the unit mm³ would be best for measuring the volume.

For the second picture, the unit cm³ would be best for measuring the volume.

For the third picture, the unit m³ would be best for measuring the volume.

Thus, there are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.

Learn more about the volume here:

brainly.com/question/16788902

#SPJ1

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Digiron [165]

Answer:

1 and 1/8

Step-by-step explanation:

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