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3 years ago

I’m confused on this one

Mathematics

2 answers:

otez555 [7]3 years ago

7 0

Well a circle has 360 degrees and this question wants the degree of counter-clockwise.

I think first we subtract 69 from 360, since that is the rotation clockwise, to get the angle of rotation.

360 - 69 is 291 degrees

notsponge [240]3 years ago

4 0

The question is inconsistent. Asked about the angle of reflection above, and the angle of rotation below.

Assuming that question is asking for the single angle of rotation that replaces the double reflection.

The single angle of rotation is double the angle between the reflection axes, namely 2*69=138 degrees. Since the reflections are done in the counter-clockwise direction, so the rotation is in the same sense.

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The area of a square tile is the same as the area of a rectangle tile that is 18 inches long and 8 inches wide.

allsm [11]

Step-by-step explanation:

Brother Answer is 12 inches

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2 years ago

Solve the algebraic expression below (2/5) (10) + 8

Andrews [41]

Answer: 12.

Step-by-step explanation:

4 0

2 years ago

Is this an inequality or equation?

romanna [79]

Answer:

Equation

Step-by-step explanation:

A statement that the values of two mathematical expressions are equal (indicated by the sign =).

^^ This is the definition of equation

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3 0

3 years ago

Read 2 more answers

When Brooklyn runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard dev

KonstantinChe [14]

Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:

76 - 2 x 3 = 70.

76 + 2 x 3 = 82.

Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.

More can be learned about the Empirical Rule at brainly.com/question/24537145

3 0

2 years ago

According to data from a medical association, the rate of change in the number of hospital outpatient visits, in millions, in

GaryK [48]

Answer:

a) $f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient visits, in millions, is given by:

$f'(t)=0.001155t(t-1980)^{0.5}$

a) To find the function f(t) you integrate f(t):

$\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt$

To solve the integral you use:

$\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}$

Next, you replace in the integral:

$\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C$

Then, the function f(t) is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'$

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient visits.

Hence C' = 264,034,000

The function is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) For t = 2015 you have:

$f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7$

3 0

3 years ago