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2 years ago

HELP ASAP!!! (KHAN ACADEMY...USE IMAGES)

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

7 0

8/3 = unit rate of change
(3,8) are coordinates

Anuta_ua [19.1K]2 years ago

6 0

Answer:

8/3 is the unit rate of change

for graph: second point on the line coordinates will be (3,8)

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Write the equation of the lines resented below in slope-intercept form

scoray [572]

Slope intercept form: y = mx + b

mx = slope

b = y-intercept

We know the y intercept is 0, so nothing will be written there.

To find the slope of this line, we can use the slope formula.

$\frac{y.2 - y.1}{x.2 - x.1} = m$

We'll use the points (1, 0) and (3, 1) to find the slope.

Now we can just plug these values into the equation to find the slope.

1 - 0 / 3 - 1

1 / 2

The slope of the line is 1/2, or 0.5.

The slope-intercept form of this line can be written as:

y = 0.5x

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3 years ago

A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid

katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 865, \pi = \frac{408}{865} = 0.4717$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050$

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

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3 years ago

Simplify the expression x^5 • x^7

iragen [17]

Answer:

$\Huge\boxed{\mathsf{\Rightarrow X^1^2}}$

Step-by-step explanation:

<h3><u>TO SOLVE:</u></h3>

With exponent rule.

<h3><u>SOLUTIONS:</u></h3>

First, use exponent rule.

<u><em>EXPONENT RULE:</em></u>

$\displaystyle \mathsf{\Rightarrow A^B*A^C=A^B^+^C}}$

$\displaystyle \mathsf{X^5^+^7}}$

Solve.

Add the numbers from left to right.

$\displaystyle \mathsf{7+5=\boxed{\mathsf{\Rightarrow 12}}}}$

$\Rightarrow \Large \boxed{\mathsf{X^1^2}}}$

So, the final answer is x¹².

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Answer:

true

Step-by-step explanation:

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What's bigger 1.60 or 1.6

klio [65]

They are equivalent to each other

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