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If Point M has a coordinate of -1 and MN = 7, what are the possible coordinates of point N?

Answers

Answer 1

Answer:

-8 and 6

Step-by-step explanation:

Coordinate of point M = -1

Distance between M and a point N = MN = 7

Therefore, the possible coordinates of N can either be:

To the left => -1 - 7 = -8

To the right => -1 + 7 = 6

Check:

If M = -1, and N = -8, MN = |-1 -(-8)| = |-1 + 8| = 7

If M = -1, and N = 6, MN = |-1 - 6| = |-7| = 7

So, our answer is right.

Possible coordinates of point N are -8 and 6

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Which is NOT a multiple of 15?

It takes a graphic designer 1.5h to make one page of a website. Using a new software, the designer could complete each page in 1.25h, but it takes 8h to learn the software. How many web pages would the designer have to make in order to save time using the new software?

Answers

The number of web pages would the designer have to make in order to save time using the new software will be 33 web pages (at least).

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

We can set up an inequality to represent this, where x represents the number of web pages made.

1.5x > 1.25x + 8

The time with the new software is represented by 1.25x + 8 and the normal time is represented by 1.5x. The number of hours spent using the old software must be 1.5 times greater than the time spent using the new product.

Solve for x:

1.5x > 1.25x + 8

0.25x > 8

x > 32

Therefore, the number of web pages would the designer have to make in order to save time using the new software will be 33 web pages (at least).

To know more about inequality follow

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Answer:

33 web pages (at least)

Step-by-step explanation:

We can set up an inequality to represent this, where x represents the number of web pages made.

1.5x > 1.25x + 8

1.5x represents the number of hours it will take normally, and 1.25x + 8 represents the time with the new software. 1.5x (amount of hours using old software) needs to be larger than the time it takes with the new software.

Solve for x:

1.5x > 1.25x + 8

0.25x > 8

x > 32

So, the designer would have to make at least 33 pages.

Which number completes the series: 1, 3, 6, 10, 15, ???

Answers

Answer:

best of luck!

Answer:

Step-by-step explanation:

1 + 2 = 3

3 + 3 = 6

6 + 4 = 10

10 + 5 = 15

15 + 6 = 21

Hope it helps

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RULE 1: Do not answer just for points because that's just mean

Answers

Answer:

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Step-by-step explanation:

A person's blood pressure is monitored by taking 8 readings daily. The probability distribution of his reading had a mean of 129 and a standard deviation of 7. a. Each observation behaves as a random sample. Find the mean and the standard deviation of the sampling distribution of the sample mean for the eight observations each day. b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling distribution? c. Refer to (b). Find the probability that the sample mean exceeds 140.

Answers

Answer:

a) $\mu_(\bar X)= 129$

$\sigma_(\bar X)= (7)/(√(8))=2.475$

b) If the distribution is normal then the sampling distribution would be bell shaped and normal

c) $P(\bar X >140)$

And we can use the z score formula given by:

$z =(\bar X -\mu)/(\sigma_(\bar X))$

And replacing we got:

$z =(140-129)/(2.475)= 4.44$

And then we can find the probability using the complement rule and the normal standard distribution or excel and we got:

$P(\bar X>140) = P(Z>4.44) =1-P(z<4.44) \approx 0$

Step-by-step explanation:

For this case we have the following info:

$n=8$ represent the sample size

$\bar X=129$ the sample mean

$s=7$ the standard deviation

Part a

If we assume that the distirbution is bell shaped then we can find the parameters like this:

$\mu_(\bar X)= 129$

$\sigma_(\bar X)= (7)/(√(8))=2.475$

Part b

If the distribution is normal then the sampling distribution would be bell shaped and normal

Part c

We want this probability:

$P(\bar X >140)$

And we can use the z score formula given by:

$z =(\bar X -\mu)/(\sigma_(\bar X))$

And replacing we got:

$z =(140-129)/(2.475)= 4.44$

And then we can find the probability using the complement rule and the normal standard distribution or excel and we got:

$P(\bar X>140) = P(Z>4.44) =1-P(z<4.44) \approx 0$

This is a scale drawing of an apartment. The actual apartment has a perimeter of 160 ft. Draw another scale drawing of the apartment using the scale 20 ft to 1 unit from the apartment to the drawing. EXPLAIN your reasoning.

Answers

The attached drawing is the apartment using the scale 20 ft to 1 unit from the apartment to the drawing.

As the perimeter lies along the edges of squares and we count 16 sides of squares as we work around the perimeter,

this means that each square is

160 / 16 = 10 ft on a side.

so 10 ft in real life plots to 1 unit on the drawing

If the scale is changed to 20 :1 ,

then the drawing would be exactly the same shape, only each side would have half the original drawing units.

In stead of a 40 ft side being represented by 40 ft / 10 ft/unit = 4 units,

That side would be 40 ft / 20 ft/unit = 2 units

Hence, The attached drawing is the apartment using the scale 20 ft to 1 unit from the apartment to the drawing.

Learn more about perimeter here:

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Answer:

Step-by-step explanation:

As the perimeter lies along the edges of squares and we count 16 sides of squares as we work around the perimeter, this means that each square is

160 / 16 = 10 ft on a side.

so 10 ft in real life plots to 1 unit on the drawing

If the scale is changed to 20 :1 , then the drawing would be exactly the same shape, only each side would have half the original drawing units.

In stead of a 40 ft side being represented by 40 ft / 10 ft/unit = 4 units, That side would be 40 ft / 20 ft/unit = 2 units

Evaluate.
19+(22 - 16) =

Answers

Answer:

the answer is 25.

Step-by-step explanation:

hope this helps

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