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myrzilka [38]
3 years ago
12

Which number, rounded to the nearest hundred , is zero a) 94 b) 68 c) 52 d) 31

Mathematics
2 answers:
butalik [34]3 years ago
6 0
31 is 30 or 40.
52 is 50 or 60.
68 is 70.
94 is 90 or 100.

Answer A.

- - Good Homework - -
klasskru [66]3 years ago
3 0

Answer:

d) 31.

Step-by-step explanation:

We are asked to choose the number that will result in 0, when rounded to the nearest hundred.

Let us see our given choices one by one.

a) 94

We can see our given number has 9 tens and tens place is greater than 5, so, we will round up our answer to nearest hundred that is 100. Therefore, 94 is not a correct choice.

b) 68

We can see our given number has 6 tens and tens place is greater than 5, so, we will round up our answer to nearest hundred that is 100. Therefore, 68 is not a correct choice.

c) 52

We can see our given number has 5 tens and tens place is 5, so, we will round up our answer to nearest hundred that is 100. Therefore, 52 is not a correct choice.

d) 31

We can see our given number has 3 tens and tens place is less than 5, so, we will round down our answer to nearest hundred that is 0. Therefore, 31 is the correct choice.

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Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an
Sphinxa [80]

Question:

(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.

Answer:

The answers to the questions are;

(a) Based on the z score, Boris perform better on his aptitude test.

(b) Based on the z score, Callie perform better on his knowledge test .

(c) For Boris since +0.93 = z_{logic} >  z_{knowledge}  >  z_{aptitude}

Yes as Boris now performed best on the logic test.

Step-by-step explanation:

The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.

To solve the question, we note that we are required to find the z score as follows.

z score is given by z = \frac{x -\mu}{\sigma}

Where:

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x = Score

σ = Standard deviation

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Boris scored a

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Therefore the z sore for the knowledge test is

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Therefore

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Here

x = 106

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Here

x = 114

μ = 110

σ = 7.1

z_{aptitude} = \frac{114 -110}{7.1} = 40/17 = 0.5634

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z_{aptitude}=  - 0.5634 then

z_{logic} >  z_{knowledge}  >  z_{aptitude}

Therefore Boris now performed best on the logic test.

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