There is exactly 1 pair of parallel sides in the following shape.

the perimeter of a rectangle is 68ft the ratio of the length to the width iss 9:8 what are the dimensions of the rectangle

NikAS [45]

Answer:

Step-by-step explanation:

2 * L + 2 * W = 68

2*L = 2* 9x = 9x + 9x

2*W = 2*8x = 8x + 8x

Since the perimeter is 68

9x + 9x + 8x + 8x = 68

4 0

3 years ago

How to write an equation and use The Distributive Property .

Airida [17]

<h2>Answer</h2>

Distributive Property

The distributive property states that when a factor is multiplied by the sum of two numbers, you can multiply each of the two numbers by that factor and then add them.

<h2>Example</h2><h3>Equation </h3>

10(x + 2) = 45

Apply the distributive property to the left side of the equation by multiplying

two numbers inside the parentheses by 10

10(x) + 10(2) = 45

Now add them

10x + 20 = 45

Rearrange the like terms

10x = 45 -20

10x = 25

x = 25/10

x = 2.5

7 0

3 years ago

Is y=x(x-1) a function

Fed [463]

Yes it is a function
Y=x(x-1)
X(x-1)
X to the 2nd power -1x
Hope that’s helps

4 0

3 years ago

Read 2 more answers

A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

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.