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3 years ago

Anna is solving this equation:

Mathematics

2 answers:

nordsb [41]3 years ago

3 0

Answer:

7-6x+15=-3x-7

29=3x

x=29/3

the asnwer is D

Mashcka [7]3 years ago

3 0

The answer is D. 7-6x+15=-3x-7

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Use the Distributive Property of Multiplication over Addition to find each missing number.

Svet_ta [14]

Answer:

(3*9)+(3*6)

Step-by-step explanation:

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2 years ago

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The length of a rectangle is 6cm longer than the width. The perimeter of the rectangle is 92 cm. Find the length of the width of

Vinvika [58]

Answer:

l=26

w=20

Step-by-step explanation:

l-6=w

2l+2w=92

2l+2(l-6)=92

2l+2l-12=92

4l=104

l=26

(26)-6=w

w=20

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2 years ago

PLEASE HELP ASAP!! A triangle has vertices X(2,1), Y(5,4), and Z(5,1). What is the area of the triangle?

Aliun [14]

Answer Is Option a)4.5 sq.units

Given vertices are X(2,1),Y(5,4) and Z(5,1)

Answer is given above in the image

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6 0

3 years ago

The three sides of a triangle are n, 3n+3, and 2n+11. If the perimeter of the triangle is 50 inches, what is the length of each

mylen [45]

Answer:

6, 21, and 23 inches

Step-by-step explanation:

The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.

This means that we can algebraically solve the equation $n + 3n + 3 + 2n + 11 = 50$

Step 1: Combine like terms.

$(n+3n+2n) + (3+11) = 50$
$6n + 14 = 50$

Step 2: Subtract 14 from both sides.

$6n + 14 - 14 = 50 - 14$
$6n = 36$

Step 3: Divide both sides by 6.

$6n/6 = 36/6$
$n = 6$

Step 4: Plug in the value of n as 6 in each side.

$(6) + (3(6) + 3) + (2(6)+11) = 50$
$(6) + (18+3) + (12+11) = 50$
$(6) + (21) + (23) = 50$

Therefore, the side lengths are 6, 21, and 23 inches.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0

2 years ago

Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol

Dima020 [189]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

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

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

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

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3 years ago