El producto de un número y 56

Answers

Answer 1
Answer:

Answer:

x+56

Step-by-step explanation:

The product of two numbers is the result you get when you multiply them together. And refers to addition.


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Find the value of x
(6x+7) (8x-17)

Answers

Answer:

x=12

Step-by-step explanation:

6x+7=8x-17

-6x     -6x

7=2x-17

+17    +17

24=2x

÷2   ÷2

12=x

x=12

This graph shows a proportional relationship.What is the constant of proportionality?
Enter your answer in the box.

Answers

Hey, this is worked out the same way as the last problem you posted!

Remember that constant of proportionality is slope...

(y2-y1) ÷ (x2 -x1)

(225 - 135) ÷ (5 - 3)

90 ÷ 2

45

The constant of proportionality is 45

At its highest​ point, the elevation of a county is 5,776 feet above sea level. At its lowest​ point, the elevation of the county is 6 feet below sea level. Write an expression using integers to represent the difference between the elevations.
(Do not​ simplify.)

Answers

The expression that represents the elevation is 5,776-(-9)=5,785.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at its highest​ point, the elevation of a county is 5,776 feet above sea level. At its lowest​ point, the elevation of the county is 6 feet below sea level.

The expression will be generated by subtracting the two heights.

5,776-(-9) = 5,785.

Therefore, the expression that represents the elevation is 5,776-(-9)=5,785.

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Answer:

5,776-(-9)

positive

5,785

Step-by-step explanation:

Write an integer that represents the elevation of a county  feet below sea level.

Can someone show me how to graph this?

Answers

Answer:

Step-by-step explanation:

Hello,

This is the equation of a line so if you know two points of the line you can graph it, right?

For x = 0 y = -3 so the point A (0,-3) is on the graph

For x = 3 y =-4 so the point B (3,-4) is on the graph

And then you can draw the line as below

Thanks

Write the equation in standard form and then find the center (h, k) and
x^2+8x+ y2 + 4y - 5= 0

Answers

Answer:

Center is at (-4, -2) and the radius = 5.

Step-by-step explanation:

Convert to Standard form:

x^2 + 8x + y2 + 4y - 5= 0  

Completing the square:

(x + 4)^2 - 16 + (y + 2)^2 - 4 = 5

(x + 4)^2 + (y + 2)^2  = 5 + 16 + 4

(x + 4)^2 + (y + 2)^2  = 25

(x - h)^2 + (y - k)^2 = r^2     Comparing:-

The center is at (-4, -2) and the radius = 5.

A direct mailing company sells computers and computer parts by mail. The company claims that at least 90% of all orders are mailed within 72 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid. A recently taken random sample of 150 orders showed that 129 of them were mailed within 72 hours. Set up the null and alternative hypotheses to test whether the company’s claim is true?

Answers

Answer:

The null and alternative hypothesis are:

H_0: \pi=0.9\n\nH_a:\pi<0.9

There is not enough evidence to support the claim that the company is worng and less than 90% of all orders are mailed within 72 hours after they are received.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The company claims that at least 90% of all orders are mailed within 72 hours after they are received. The company's claim is the null hypothesis, the claim that is going to be tested is if this proportion is significantly less than 90%.

Then, the null and alternative hypothesis are:

H_0: \pi=0.9\n\nH_a:\pi<0.9

The significance level is 0.05.

The sample has a size n=150.

The sample proportion is p=0.86.

p=X/n=129/150=0.86

The standard error of the proportion is:

\sigma_p=\sqrt{(\pi(1-\pi))/(n)}=\sqrt{(0.9*0.1)/(150)}\n\n\n \sigma_p=√(0.0006)=0.024

Then, we can calculate the z-statistic as:

z=(p-\pi+0.5/n)/(\sigma_p)=(0.86-0.9+0.5/150)/(0.024)=(-0.037)/(0.024)=-1.497

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z<-1.497)=0.0672

As the P-value (0.0672) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that less than 90% of all orders are mailed within 72 hours after they are received.

Final answer:

The null hypothesis is that 90% of all orders are shipped within 72 hours, denoted as H0: p = 0.90. The alternative hypothesis is that less than 90% of all orders are shipped within 72 hours, expressed as HA: p < 0.90.

Explanation:

In hypothesis testing, the null hypothesis represents the theory that has been put forward, either because it is believed to be true or because it is used as a basis for argument. In this case, the null hypothesis would be that 90% of all orders are shipped within 72 hours. This can be formulated as H0: p = 0.90 where p represents the proportion of all orders shipped within 72 hours.

The alternative hypothesis on the other hand is the hypothesis used in hypothesis testing that is contrary to the null hypothesis. Here, the alternative hypothesis would be that less than 90% of all orders are shipped within 72 hours. It can be expressed as HA: p < 0.90 where p remains the proportion of orders shipped within 72 hours.

Learn more about Hypothesis Testing here:

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