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Anna35 [415]
3 years ago
6

Sarah will take 8 algebra tests. On the first 7, Sarah's scores were 79, 86, 92, 89, 87, 80, and 82. What will Sarah need to sco

re on the 8th test to have an average grade of 86?
Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0

Answer:

Step-by-step explanation:

Let represent the score on Sarah's last test.

The average of her 8 test scores is 86.

This means:

(79+86+92+89+87+80+82+x)/8 =86

595+x=688

x=93

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Dmitry [639]

Answer:

Lawns ---Earnings

1 ----------------- 10

2 ----------------- 20

3 ----------------- 30

5 ----------------- 50

Step-by-step explanation:

Given

Earnings = $10 per lawn

Required

Complete the table

Let y be the earnings for x number of lawns

Since he earns $10 per x lawns, then the expression is:

y = 10x

To complete the table, we have the following:

When x = 1

y = 10 * 1 = 10

When x = 2

y = 10 * 2 = 20

When x = 3

y = 10 * 3 = 30

When x = 5

y = 10 * 5 = 50

So, the complete table is:

Lawns ---Earnings

1 ----------------- 10

2 ----------------- 20

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3 years ago
Please Help! Knowing the negative sign (–) also means "opposite", how do you we read this expression, -8 • 2?
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The answer is -12468
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Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with
worty [1.4K]

Answer:

z

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean \mu =26 kilograms and standard deviation \sigma=4.2 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

X"

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

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

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

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We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

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So then the corresponding z scale would be:

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