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Travka [436]
3 years ago
14

Find the distance between points (30, 24) and (1, 21). Round to the nearest hundredth if necessary.

Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

\sqrt{ {(30 - 1)}^{2} }  +  \sqrt{ {(24 - 21)}^{2} }  \\  = 29.155
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PLEASE HELP ILL GIVE 49 POINTS! THANKS!<br><br><br> Show work
NemiM [27]

Answer:

y = -2x+11

Step-by-step explanation:

If we have a slope and a line, we can use the slope intercept form of a line

y-y1 = m(x-x1)

where (x1,y1) is the point and m is the slope.


Substitute in what we know

y-5 = -2 (x-3)

We want it in slope intercept form which is y = mx+b

Distribute the -2

y-5 = -2x+6

Add 5 to each side

y-5+5 = -2x +11

3 0
3 years ago
Read 2 more answers
URGENT
Ivan

This is a question of proportions:

First we can work out how many feet it goes up for each feet he steps back:

5.5/6 ft per each feet he steps back.

Now we can multiply this by the amount of ft back the cliff is:

(5.5/6)*30 = 27.5 ft

Thus the cliff is 27.5 ft tall,

Hope this helps :)

3 0
3 years ago
The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation
netineya [11]

THIS IS THE COMPLETE QUESTION BELOW;

The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.

Find the margin of error for the confidence interval for the population mean with a 98% confidence level.

z0.10 z0.05 z0.025 z0.01 z0.005

1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answer

Margin error =210.8

Given:

standard deviation of 425

sample mean x=1520 dollars.

random sample n= 22

From the question We need to to calculate the margin of error for the confidence interval for the population mean .

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

4 0
3 years ago
The measure of angle J is 120⁰ and is vertical to the measure of angle K. If the measure of angle K is x , what is the value of
Gnoma [55]

Answer:

x=120

Step-by-step explanation:

a vertical angle is equal to each other so if angle J is 120° the so is angle K

4 0
3 years ago
Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x
Sindrei [870]

Answer:

<u>f(g(x)) = 9x² + 15x + 2</u>

Step-by-step explanation:

  • f(x) = x² + 5x + 2
  • g(x) = 3x

<u>Solving f(g(x))</u>

  • f(g(x))
  • f(3x)
  • f(3x) = (3x)² + 5(3x) + 2
  • f(3x) = 9x² + 15x + 2
  • <u>f(g(x)) = 9x² + 15x + 2</u>
8 0
2 years ago
Read 2 more answers
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