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3 years ago

Charlie runs at a speed of 3 yards per second .about how many miles per hour does charlie run?

Mathematics

1 answer:

grandymaker [24]3 years ago

6 0

6.136363636363636363636363636363636363636363636363636363636363636363636363636 miles per hour. So, roughly 6.1

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Find the inner product for (7, 2) * (0, -2) and state whether the vectors are perpendicular.

Andrews [41]

Answer: A

Step-by-step explanation:

To find the inner product of two vectors (a,b) and (c,d) you would use the equation (a * c) + (b * d)

So for (7,2) and (0,-2) the inner product would be

(7 * 0) + (2 * -2)

= 4

The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to -4 in this case, the vectors are not perpendicular.

A -4; no

3 0

3 years ago

Read 2 more answers

Find two numbers whose product is -2, and whose sum is -1.

PIT_PIT [208]

Answer:

$x=-2 \ \ \ and \ \ \ y=1$

Step-by-step explanation:

Suppose numbers are x and y

Product of x and y is -2

$xy=-2$

And sum of x and y is -1

$x+y=-1$

$x=-2 \ \ \ and \ \ \ y=1$

8 0

2 years ago

where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto i

irina [24]

Answer:

An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to reflect across an axis of symmetry so that a regular pentagon can carry onto itself. Hope this answer helps.

5 0

3 years ago

A man wants to paint his room with an area of 515 square feet. He mixses the following paints to make a shade of green

larisa [96]

About 3 gallons of blue paint will be needed because if you add 175+175 it equals 350 and then add another 175 it equals 525.

6 0

3 years ago

A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70

TEA [102]

Answer:

She needs to sample 189 trees.

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:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

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

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

The standard deviation of the population is 70 peaches per tree.

This means that $\sigma = 70$

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

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

$10 = 1.96\frac{70}{\sqrt{n}}$

$10\sqrt{n} = 1.96*70$

Dividing both sides by 10:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

She needs to sample 189 trees.

3 0

3 years ago