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3 years ago

Use the distributive property to rewrite and find 4 x (25 + 4). Thanks.

2 answers:

5 0

116 , <span><span>(4 * 25) + ( 4 * 4 )
</span>4 x (25 + 4)
4 * 25
4 * 4
(4 * 25) + ( 4 * 4 ) = Distributive Property
</span><span><span>4 * 25 = 100
4 * 4 = 16</span>
100 + 16 = 116

</span>

kvv77 [185]3 years ago

5 0

The answer would be 116.

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Is a rectangular prism has a length width and height of 3/8cm, 5/8cm and 7/8 in a meter respectively then the volume of the pris

myrzilka [38]

The volume of a rectangular prism is given by the multiplication of its three dimensions: if $w, h, l$ are the width, height and length of the prism, the volume is

$V = w\cdot h\cdot l$

So, in your case, you have

$V = \dfrac{3}{8} \cdot \dfrac{5}{8} \cdot \dfrac{7}{8} = \dfrac{3\cdot 5 \cdot 7}{8\cdot 8 \cdot 8} = \dfrac{105}{512}$

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3 years ago

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shutvik [7]

Answer:

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Step-by-step explanation:

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2 years ago

4.6.3 Test (CST): Linear Equations

inn [45]

The slope of the green line if the lines are perpendicular is -1/4

<h3>Perpendicular lines</h3>

For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.

Given the following

Slope of red line = 4

According the definition

4m2 = -1

m2 = -1/4

Hence the slope of the green line if the lines are perpendicular is -1/4

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2 years ago

Which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)?

Fantom [35]

Answer:

Step-by-step explanation:

You have to use Point Slope Form:

y - Y1 = m (x - X1)
m is the slope
Y1 & X1 is a point on the line
The form allows you to identify the slope & the point on the line

About Problem:

Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.

-3 represents X1 in y - Y1 = m (x - X1) form

-1 represents Y1 in y - Y1 = m (x - X1) form

y - Y1 = m (x - X1)

y - -1 = -2/3 (x - -3) ---- This is in Point Slope Form

If you want to solve it, & put it in Slope Intercept form, it would look like this:

y = mx + b

y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...

Really really sorry if I'm incorrect...

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3 years ago

Read 2 more answers

There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f

Ann [662]

Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

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3 years ago