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3 years ago

6

Mathematics

1 answer:

Vadim26 [7]3 years ago

5 0

Answer:

AAS criterion is the correct answer of this question.....

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Using the power property rewrite log3^8

gladu [14]

Answer:

3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

Step-by-step explanation:

5 0

3 years ago

When a number decreased by 10% the result in 63. What is the number?

Ugo [173]

The number is 69.3 because percent means 0.01, so 10 x 0.01 = 1.1
so 1.1 x 63 = 69.3. you can also do 63 x 10% = 69.3.

4 0

3 years ago

According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY

Yakvenalex [24]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.11$

The sample size is n = 1640

The number found to be living with at least one grandparent is $k = 225$

The level of significance is $\alpha = 0.02$

The null hypothesis is $H_o : p = 0.11$

The alternative hypothesis is $H_a : p > 0.11$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{ k }{n}$

=> $\^ p = \frac{ 225 }{1640 }$

=> $\^ p = 0.1372$

Generally the test statistics is mathematically represented as

$z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }$

=> $z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }$

=> $z = 0.0077$

From the z table the area under the normal curve to the left corresponding to 0.0077 is

$p-value = P(Z > 0.0077) = 0.4969$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

3 0

3 years ago

What is the first step in solving the quadratic equation x2-40=0

artcher [175]

Answer:

Hello my friend! The first step is to isolate the x and the 40 like this: x2 = 40.

Step-by-step explanation:

After you do that, you can perform the inverse operation of the x2, wich is the sqrt of 40. This way, you will have x=sqrt40 . X~=6.32

4 0

3 years ago

Read 2 more answers

A farmer collected eggs from the henhouse. He can put 36 eggs in a carton. A carton will hold 6 eggs in a row How many rows does