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2 years ago

Multiply and reduce to lowest terms. Convert into a mixed number if necessary.

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

3 0

Answer:

1 1/3

Step-by-step explanation:

2(8/12)=16/12=1 4/12=1 1/3

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What is dislocation

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Answer:

The distance between the starting point and the end point

Step-by-step explanation:

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3 years ago

All squares are parallelograms?

DaniilM [7]

Yes since the four sides are always parallel in a square

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3 years ago

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Ray MN and ray ML are two sides of an angle. What is a name of this angle?

Setler [38]

It is (c) NML
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3 years ago

Aria paid $75,000 for her house. Its property value increased by 2.2% per year. When Aria sold her house after eleven years, how

astra-53 [7]

Answer:

When Aria sold her house after eleven years it worth was $95,300.

Step-by-step explanation:

Given:

Aria paid $75,000 for her house. Its property value increased by 2.2% per year.

Now, to find the worth of Aria house when sold after eleven years.

Let the amount of house after eleven years be $x.$

Amount Aria paid for her house (A) = $75,000.

Rate of property increased per year (r) = 2.2%.

Time (t) = 11 years.

Now, to get the amount of house after eleven years we put formula:

$x=A\times (1+\frac{r}{100})^{11}$

$x=75000\times (1+\frac{2.2}{100})^{11}$

$x=75000\times (1+0.022)^{11}$

$x=75000\times (1.022)^{11}$

$x=75000\times 1.2704$

$x=95280.$

The amount of house after eleven years to the nearest hundred dollars is $95,300.

Therefore, when Aria sold her house after eleven years it worth was $95,300.

3 0

3 years ago

A company claims that less than 10% of adults own a smart watch. You want to test this claim, and you find that in a random samp

Nezavi [6.7K]

Answer:

Test statistic is 0.67

Critical value is -2.33

Step-by-step explanation:

Consider the provided information.

The formula for testing a proportion is based on the z statistic.

$z=\frac{\hat p-p_0}{\sqrt{p_0\frac{1-p_0}{n}}}$

Were $\hat p$ is sample proportion.

$p_0$ hypothesized proportion and n is the smaple space,

Random sample of 100 adults, 12% say that they own a smart watch.

A company claims that less than 10% of adults own a smart watch.

Therefore, n = 100 $\hat p$ = 0.12 , $P_0$ = 0.10

$1 - P_0 = 1 - 0.10 = 0.90$

Substitute the respective values in the above formula.

$z=\frac{0.12-0.10}{\sqrt{0.10\frac{0.90}{100}}}$

$z\approx 0.67$

Hence, test statistic = 0.67

This is the left tailed test.

Now using the table the P value is:

P(z < 0.667) = 0.7476

P-value = 0.7476

$\alpha = 0.01$

Here, P-value > α therefore, we are fail to reject the null hypothesis.

$Z_{\alpha}= Z_{0.01} = -2.33$

Hence, Critical value is -2.33

7 0

3 years ago