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3 years ago

Write an equation of the line with a slope of -3and y intercept of 0.

Mathematics

1 answer:

HACTEHA [7]3 years ago

5 0

Answer:

y=-3x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=-3x+0

y=-3x

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Martin sorted the bolts in his toolbox by size. They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches . What is

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The answere is 19/8 or 2 3/8

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3 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Nana76 [90]

Answer:

Step-by-step explanation:

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3 years ago

On a standard IQ test, the standard deviation is 15. How many random IQ scores must be obtained if we want to find the true popu

igor_vitrenko [27]

Answer:

We need at least 4238 scores.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.97}{2} = 0.015$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.015 = 0.985$ , so $z = 2.17$

Now, find the margin of error M

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many random IQ scores must be obtained if we want to find the true population mean (with an allowable error of 0.5) and we want 97 percent confidence in the results

We need at least n scores, in which N is found when $M = 0.5$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.5 = 2.17*\frac{15}{\sqrt{n}}$

$0.5\sqrt{n} = 2.17*15$

$0.5\sqrt{n} = 32.55$

$\sqrt{n} = \frac{32.55}{0.5}$

$\sqrt{n} = 65.1$

$\sqrt{n}^{2} = (65.1)^{2}$

$n = 4238$

We need at least 4238 scores.

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4 years ago

An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on th

nasty-shy [4]

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = $\frac{opposite}{adjacent}$

= $\frac{x}{d}$

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is $30^{o}$ , and the height of the tree is 10 m, then the distance, d, across the river would be;