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2 years ago

What's the coefficient in each

Mathematics

1 answer:

jasenka [17]2 years ago

5 0

A coefficient is the number before any variables, which usually is a letter. <span>Variables that have no numbers have a coefficient of 1.</span>
a. 2 and 100
b. 1 and 4
c. 4 and 2

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The perimeter of a rectangle is 182 ft. The width is two more feet than the length . Find the length and width.

Kamila [148]

Let's call the width $w$ and the length $l$ based on this, we can make two equations based on the first and second sentences in the problem.

$w = l + 2$

$2l + 2w = 182$

If we substitute $l + 2$ for $w$ into the second equation, we can make the following:

$2l + 2(l + 2) = 182$

Substitute

$2l + 2l + 4 = 182$

Use the Distributive Property

$4l + 4 = 182$

Combine like terms

$4l = 178$

Subtract 4 from both sides

$l = \dfrac{178}{4} = \dfrac{89}{2}$

Divide both sides by 4 and simplify

Now, let's find $w$ :

$w = l + 2 = \dfrac{89}{2} + 2 = \dfrac{93}{2}$

The length of the rectangle is $\boxed{\dfrac{89}{2} \,\textrm{ft}}$ and the width of the rectangle is $\boxed{\dfrac{93}{2} \,\textrm{ft}}$ .

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2 years ago

If one wheel on bob model is 4 inches across how many inches is the actual wheel on the bike

Alik [6]

Answer:

16 inches

Step-by-step explanation:

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3 years ago

Stainless steels are frequently used in chemical plants to handle corrosive fluids, however, these steels are especially suscept

Ira Lisetskai [31]

Answer: 95% confidence interval would be (0.344,0.456).

Step-by-step explanation:

Since we have given that

n = 295

x = 118

so, $\hat{p}=\dfrac{x}{n}=\dfrac{118}{295}=0.4$

At 95% confidence, z = 1.96

So, margin of error would be

$z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.4\times 0.6}{295}}\\\\=0.056$

so, 95% confidence interval would be

$\hat{p}\pm \text{margin of error}\\\\=0.4\pm 0.056\\\\=(0.4-0.056,0.4+0.056)\\\\ =(0.344,0.456)$

Hence, 95% confidence interval would be (0.344,0.456).

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ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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