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SVETLANKA909090 [29]
3 years ago
13

A test has two multiple choice questions, each with five choices. What is the probability of guessing the correct answer to both

questions? Show all work
Mathematics
1 answer:
vekshin13 years ago
5 0
There are only two answers out of 10 possible choices.
2/10
.2*100
20%
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Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 a
krok68 [10]

Answer:

Jessie scored higher than Reagan.

Step-by-step explanation:

We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.

Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.

For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.

1. <u>Finding z-score for Reagan;</u>

Let X = distribution of SAT scores

SO, X ~ Normal(\mu=1000, \sigma^{2}=100^{2})

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 1000

            \sigma = standard deviation = 100

Now, Reagan scored 1140 on the SAT, that is;

       z-score  =  \frac{1140-1000}{100}  =  1.4

2. <u>Finding z-score for Jessie;</u>

Let X = distribution of ACT scores

SO, X ~ Normal(\mu=17, \sigma^{2}=5^{2})

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 17

            \sigma = standard deviation = 5

Now, Jessie scored 30 on the ACT, that is;

       z-score  =  \frac{30-17}{5}  =  2.6

This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.

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3 years ago
A tropical species of mite named Archegozetes longisetosus is the record holder for the strongest insect in the world. It can li
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We are given that the insect can lift 1.182 x 10^3 times it's own weight. Say that w is weight, so the lift is:

lift = 1.182 x 10^3 * w

 

Assuming that your body weight is 60 kg, therefore you can lift:

lift = 1.182 x 10^3 * 60 kg = 70,920 kg

8 0
2 years ago
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Expand it, so you will get 9x^2 + 24x + 16
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The perimeter of a rectangular window is 43 feet. The width of the window is 5 ft more than the length. Find the width of the wi
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Answer:

  13.25 ft

Step-by-step explanation:

Let w represent the width of the window. Then w-5 represents the length, and the perimeter is ...

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The width of the window is 13.25 ft.

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