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Kipish [7]
2 years ago
15

Use mental math to decide which equations are true. Drag the true equations into the box.

Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0

1.23÷10 = 0.123 is a true statement

Given the expression 1.23÷10, we need to<u> check if the expression is equal to 0.123</u>

<h3>Fractions</h3>

Fractions is a ratio of two integers a/b

Given

  • 1.23÷10

Convert the decimal to a fraction as shown:

  • 1.23 = 123/100

The expression becomes:

  • 123/100 ÷10

= 123/100 * 1/10

=  123/1000

Convert back to decimal

1.23÷10 = 0.123

This shows that 1.23÷10 = 0.123 is a true statement

Learn more on division here: brainly.com/question/12957834

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Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

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Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

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z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

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Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

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The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

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