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3 years ago

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The width of a rectangle, in feet, is represented by (3x-1.5). The length of the rectangle, in feet, is represented by (1.25x+3)

. Find the perimeter.

1 answer:

Simora [160]3 years ago

7 0

Answer:

5.5x + 1.5

Step-by-step explanation:

P = 2(l + w)

P = 2(1.25x + 3 + 3x - 1.5)

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weqwewe [10]

Answer:

Sale tax rate = 7.5%

Step-by-step explanation:

The book cost $12.95

If you take 12.95 x 0.075 = 0.97125

Round the answerto the hundredth (0.97)

Add the tax, 12.95 + 0.97 = 13.92

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3 years ago

The sides of a triangle measure 16 30 and 34. which type of triangle is it

leva [86]

It would have to be an obtuse triangle

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3 years ago

Which of these numbers is divisible by 2 A. 2612 B.1241 C.4263

julia-pushkina [17]

Answer:

A. 2612

cause 2612 is a even number

6 0

3 years ago

Three different whole numbers add up to 31.

lubasha [3.4K]

Let's find the least possibilities:

First number: 6
Second number: 8
Third number: 10

6 + 8 + 10 = 24

Now we can see that we are still missing 31 - 24 = 7.

7 can be gained by adding 3 and 4, so:

First number: 6 + 3 = 9
Second number: 8 + 4 = 12
Third number: 10

9 + 12 + 10 = 31

5 0

2 years ago

Reading proficiency: An educator wants to construct a 99.5% confidence interval for the proportion of elementary school children

Shkiper50 [21]

Answer:

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

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 $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is given by:

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

In this problem, we have that:

$p = 0.69$

99.5% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.9975$ , so $Z = 2.81$ .

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?

This is n when M = 0.07. So

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

$0.07 = 2.81\sqrt{\frac{0.69*0.31}{n}}$

$0.07\sqrt{n} = 1.2996$

$\sqrt{n} = \frac{1.2996}{0.07}$

$\sqrt{n} = 18.5658$

$(\sqrt{n})^{2} = (18.5658)^{2}$

$n = 345$

A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07

4 0

3 years ago