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3 years ago

13

The length of a rectangle is 1 ft less than double the width, and the area of the rectangle is 21 ft^2. Find the dimensions of t

he rectangle.

1 answer:

ICE Princess25 [194]3 years ago

4 0

Let the width be w, then length = 2w - 1

Area = length times width = w(2w - 1) = 21.

Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0

Solving the quadratic equation gives that w = 3.5.

Therefore, width is 3.5 ft and length is 2(3.5) - 1 = 6 ft.

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If 10+9=21 than is 1+1= 2?

Andre45 [30]

I guess so, no wait no it’s not jk lol

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3 years ago

In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the pro

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(B) No. A binomial probability model applies to only two outcomes per trial.

Step-by-step explanation:

The binomial probability is the probability of having $x$ sucesses on $n$ repeated trials of an experiment that can only have two outcomes. This is why it is called the binomial probability.

Since in our problem there are three possible outcomes, the binomial probability cannot be used.

The correct answer is (B)

(B) No. A binomial probability model applies to only two outcomes per trial.

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2 years ago

U can do any problem

IrinaVladis [17]

Answer:

For question 14

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Step-by-step explanation:

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2 years ago

A random sample of 84 students at a university showed an average age of 22 years and a sample standard deviation of 3 years. Fin

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The margin of error for the 94% confidence interval is 0.6154.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The margin of error of this interval is:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The critical value of <em>z</em> for 94% confidence level is, <em>z</em> = 1.88.

Compute the margin of error for the 94% confidence interval as follows:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

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7 0

2 years ago

What is the value of a when we rewrite 8^x as a^-x/9

Andre45 [30]

Answer:

$a = \frac{1}{134217728}$

Step-by-step explanation:

Given

$8^x = a^{-x/9}$

Required

Find a

Take log of both sides

$log(8^x) = log(a^{-x/9})$

Apply law of logarithm

$x\ log(8) = (-x/9) log(a)$

Divide both sides by a

$log(8) = -\frac{1}{9} log(a)$

Multiply both sides by -9

$-9\ log(8) = log(a)$

Apply law of logarithm

$log(8^{-9}) = log(a)$

Cancel out log

$8^{-9} = a$

Rewrite as:

$a = 8^{-9}$

Apply law of indices

$a = \frac{1}{8^9}$

$a = \frac{1}{134217728}$

4 0

3 years ago