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3 years ago

True or false

2 answers:

7 0

False, any number to the power of zero = one

False, any number to the first power equals the number
(example 9^1 = 9, or 100^1 = 100)

True, 5^2 = 5 x 5

hope this helps

Dmitriy789 [7]3 years ago

3 0

It’s false hope it helps !

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The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 vote

Likurg_2 [28]

Answer:

Test statistic z = 2.3839.

P-value = 0.0086.

At a signficance level of 0.05, there is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is above 56%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.56\\\\H_a:\pi>0.56$

The significance level is 0.05.

The sample has a size n=900.

The sample proportion is p=0.6.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.56*0.44}{900}}\\\\\\ \sigma_p=\sqrt{0.000274}=0.017$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.6-0.56-0.5/900}{0.017}=\dfrac{0.039}{0.017}=2.3839$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>2.3839)=0.0086$

As the P-value (0.0086) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

3 0

4 years ago

Find the equation in standard form of the line passing through the points (2,-3) and (4,2)

Sonja [21]

The equation of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}$ . Here $\frac{y_1-y_1}{x_2-x_1}$ is the slope of the line.

Substituting numerical values,

$\frac{x-2}{y+3} =\frac{4-2}{2+3} \\ \frac{x-2}{y+3} =\frac{2}{5} \\ 5x-10=2y+6\\ 5x-2y-16=0$

The equation of the line in standard form is $5x-2y-16=0$ .

5 0

4 years ago

To the nearest hundredth, what is the value of x?

Anna [14]

Answer:

1. We already have the measure of the hypotenuse and one out of two acute angle, therefore:

sin53° = x/45 => x = sin53° · 45 ≈35.94

2. We already have one out of two legs of the triangle and one acute angle so we know that:

tan27° = 48/x => x = 48/tan27° ≈ 94.21

3 0

3 years ago

What’s 433 rounded to nearest hundreds

MAXImum [283]

Answer:

400

Step-by-step explanation:

Looking at the number 433, we have to look at the number in the tens place (in this case, 3) to determine if we will round down to 400, or up to 500.

Because the number 3 is less than 5, we will round down to 400.

6 0

3 years ago

Read 2 more answers

Image down below THX

PtichkaEL [24]

Answer:

Hey! x ≤ 4 is your answer..

Step-by-step explanation:

Hope this helps!

Graph is down below!

8 0

3 years ago