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3 years ago

NEED HELP NOW!! FOR MATH 10PTS

Mathematics

1 answer:

meriva3 years ago

4 0

Answer:

Step-by-step explanation:

Cost function = revenue function - profit function

= -0.3x² + 150x - [-0.5x² + 250x - 300]

= -0.3x² + 150x + 0.5x² - 250x +300

= -0.3x² + 0.5x² + 150x - 250x + 300 {Combine like terms}

= 0.2x² - 100x + 300

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7x2+3[81-(4x6)] Simplify

4vir4ik [10]

P E M D A S

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5 0

3 years ago

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12. What is the probability that a point in the square below

andrew-mc [135]

Answer:

$21.5\%$

Step-by-step explanation:

we know that

The probability that a point in the square below is in the shaded region, is equal to divide the area of the shaded region by the area of the square

step 1

Find the area of the shaded region

The area is equal to the area of the square minus the area of the circle

$A=b^{2} -\pi(r)^{2}$

we have

$b=12\ cm$ ---> length side of the square

$r=12/2=6\ cm$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$A=12^{2} -(3.14)(6)^{2}$

$A=30.96\ cm^{2}$

step 2

Find the area of the square

$A=b^{2}$

we have

$b=12\ cm$ ---> length side of the square

substitute

$A=12^{2}=144\ cm^{2}$

step 3

Find the probability

$P=30.96/144=0.215$

Convert to percent form

$0.215*100=21.5\%$

8 0

3 years ago

Three times a certain number is added to 5 and the result is 20? What's the number?

FinnZ [79.3K]

Answer:

The number is 5

Step-by-step explanation:

First of all we have to convert the given scenario in mathematical or algebraic expression.

Let x be the number

Then according to given statement, the equation will be:

"Three times a certain number"

$3x$

"is added to 5"

$3x+5$

"the result is 20"

$3x+5 = 20$

Using Subtraction property of Equality

$3x+5-5 = 20-5\\3x = 15$

Using division property of equality

$\frac{3x}{3} = \frac{15}{3}\\x = 5$

Hence,

The number is 5

6 0

3 years ago

Read 2 more answers

500 as a integer is?

Alexeev081 [22]

Isn’t 500 is an integer?

7 0

3 years ago

Your friend claims that the average maximum amount of time people can hold their breath is less than 60 seconds. to check whethe

nlexa [21]

Using the t-distribution, it is found that:

The null hypothesis is: $H_0: \mu \geq 60$

The alternative hypothesis is: $H_1: \mu < 60$

b) t = -1.47

c) 0.0878.

d) Do not reject the null hypothesis.

e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

Item a:

At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:

$H_0: \mu \geq 60$

At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:

$H_1: \mu < 60$

Item b:

We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:

$\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10$

Hence, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}$

$t = -1.47$

Item c:

The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.

Using a t-distribution calculator, this p-value is of 0.0878.

Item d:

The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.

Item e:

Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

A similar problem is given at brainly.com/question/24826023

5 0

3 years ago