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3 years ago

Solve the proportion and round your answer to the nearest tenth.

Mathematics

1 answer:

GalinKa [24]3 years ago

8 0

Answer:

y = 1.1

Step-by-step explanation:

Proportion is a statement that two ratios are equal.

It can be written in two ways:

Two equal fractions $\frac{a}{b}$ = $\frac{c}{d}$

Two equal sides a: b = c: d.

We can use cross products to find a missing term in it.

Let us solve the question

∵ The proportion statement is $\frac{7.7}{15.4}$ = $\frac{y}{2.2}$

→ Use the cross multiplication to find y

∵ y × 15.4 = 7.7 × 2.2

∴ 15.4y = 16.94

→ Divide both sides by 15.4 to find y

∵ $\frac{15.4y}{15.4}$ = $\frac{16.94}{15.4}$

∴ y = 1.1

No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth

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3 years ago

Suppose you received a score of 95 out of 100 on exam 1 . The mean was 79 and the standard deviation was 8 . If your score on ex

Schach [20]

Answer:

You did the same on both exams.

Step-by-step explanation:

To compare both the scores, we need to compute the z scores of both the exams and then compare the values. The formula for z-score is:

Z = (X - μ)/σ

Where X = score obtained

μ = mean score

σ = standard deviation

For Exam 1:

Z = (95 - 79)/8

= 16/8

Z = 2

For Exam 2:

Z = (90 - 60)/15

= 30/15

Z = 2

The z-scores for both the tests are same hence the third option is correct i.e. you did the same on both exams.

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3 years ago

What is the interquartile range of the numbers 9, 28, 16, 2, 33, 6, 10

Mumz [18]

Answer:

IQR = 22

Step-by-step explanation:

IQR Formula:

IQR = Q3 - Q1

In order you find Q3 and Q1, please follow these steps:

1. First, you need to order the list of numbers from least to greatest:

2, 6, 9, 10, 16, 28, 33

2. Then, you need to find the median, or the middle number.

2, 6, 9, 10, 16, 28, 33

3. In order to find IQR, you must find the first and third quartiles.

2, 6, 9, 10, 16, 28, 33

Q1 = 6

Q3 = 28

This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.

Now since you have Q1 and Q3, you follow the formula.

28 - 6 = 22

IQR = 22

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3 years ago

Give the value of x . A. 60 degrees B. 180 degrees C. 120 degrees D. 45 degrees

Harrizon [31]

Answer:

x=120°

Step-by-step explanation:

sum of all angles in a triangle is equal to 180

let the unknown angle be

$\alpha$

$60 + 60 + \alpha = 180 \\ \alpha = 180 - 60 - 60 \\ \alpha = 60 \\$

$\alpha + x = 180 \\ x = 180 - \alpha \\ x = 180 - 60 \\ x = 120$

5 0

2 years ago

Factor y2 + 8y + 15

vovangra [49]

Y² + 8y + 15
since 8 and fifteen are positive, that means your factors are going to be positive
(y + )(y + )
What are the factors of 15 that add up to 8?

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3 years ago