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Ugo [173]
4 years ago
9

A reporter determines a baseball player’s batting average, which is a ratio of the number of hits to number of times at bat. The

result is shown on a calculator as 0.212121....Write this repeating decimal as a fraction.
Mathematics
1 answer:
Tpy6a [65]4 years ago
6 0

Answer:

21/99 or 7/33

Step-by-step explanation:

x = 0.212121

Then we multiple the decimal and x by hundred.

100x = 21.212121

Then we subtract the 21.212121 by 0.212121.

100x = 21.212121 - 0.212121

But when you are subtracting 100x, you need to subtract 100x by x because in the first step it said x = 0.212121.

100x - x = 21.212121 - 0.212121

You will have at the end is

99x = 21

Divide 99 on both side and you left with

21/99 or 7/33 simplified version

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What is the solution, vertex , and y-intercept ?
MrMuchimi
F(x) = -(x+7)² + 4

f(x) = -(x+7)(x+7) + 4
f(x) = -(x² + 7x + 7x + 49) + 4
f(x) = -x² - 14x - 49 + 4
f(x) = -x² - 14x - 45

True for f(x)
<span>the equation is quadratic. 
the vertex is (7,4)
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7 0
3 years ago
A bag of skittles contains 558 calories and serves 4.5 people. How many calories are in each serving?
vlada-n [284]

Answer:

124

Step-by-step explanation:

558/4.5=124

8 0
3 years ago
64% of students will apply for graduate school. from a sample of 100 students, 52 stating that they will apply for grad school.
lana66690 [7]

Answer:

you<u> accept </u>the alternative hypothesis

Step-by-step explanation:

The null and alternative hypothesis can be computed as follows:

H_o: p = 0.64 \\ \\ H_1: p \le 0.64

The sample proportion \hat p = \dfrac{x}{n}

\hat p = \dfrac{52}{100}

\hat p = 0.52

The test statistics can be computed as:

Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}

Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}

Z = -2.5

The P-value = 2( Z< -2.5)

From the tables;

The P-value = 2 (0.0062)

The P-value = 0.0124

The significance level = 0.01

Since the P-value is > significance level; we fail to reject the null hypothesis.

Conclusion: we accept the alternative hypothesis

7 0
3 years ago
A psychologist collects data on the time, w, in minutes, people walk each day and their scores, t ,on a stress test. The scores
faust18 [17]

Answer: D: The model predicts that a person who does not walk each day will score about 48.1 on the test.


Step-by-step explanation:

Given: A psychologist collects data on the time, w, in minutes, people walk each day and their scores, t ,on a stress test.

She finds that there is a negative linear association between w and t that is best modeled by the equation t=-2.5w+48.1 .

When we put w=0 minutes, t=48.1

It implies that if any patient doesn't walk will score 48.1.

Hence, the model predicts that a person who does not walk each day will score about 48.1 on the test.

8 0
3 years ago
Read 2 more answers
Seung and Razi are both filling party favor bags for their birthdays at a constant rate. Razi’s progress is shown in the table.
Natalka [10]

Answer:

Each minute Seung fills one less bag than Razi.

Step-by-step explanation:

Find the rate of change.

<u>Razi's rate of change:</u>

\dfrac{y(b)-y(a)}{b-a}\\ \\=\dfrac{y(2)-y(1)}{2-1}\\ \\=\dfrac{44-48}{2-1}\\ \\=\dfrac{-4}{1}\\ \\=-4

<u>Seung's rate of change:</u>

\dfrac{y(b)-y(a)}{b-a}\\ \\=\dfrac{y(4)-y(3)}{4-3}\\ \\=\dfrac{31-34}{4-3}\\ \\=\dfrac{-3}{1}\\ \\=-3

This means Razi packs 4 bags per minute, Seung packs 3 bags per minute.

<u>Difference</u> = 4 - 3 = 1 bag

Each minute Seung fills one less bag than Razi.

7 0
3 years ago
Read 2 more answers
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