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Fynjy0 [20]
3 years ago
13

Hello! i need help finding the value of x could somebody help?

Mathematics
2 answers:
kodGreya [7K]3 years ago
5 0
X= 17

These are vertical angles since they are opposite angles made by two intersecting lines. And vertical angles are congruent so we would set them equal to each other.

6x-19 = 3x + 32

Subtract 3x from both sides.

3x - 19 = 32

To isolate 3x on one side add 19 to both sides.

3x= 51

Divide by 3 on both sides.

X = 17
aleksandrvk [35]3 years ago
3 0

Answer:

lkrkfkfkfnfnfnfnfnf

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Suppose a random sample of 50 college students are asked to measure the length of their right foot in centimeters. A 95% confide
hichkok12 [17]

Answer:

A  99% confidence interval  will be wider than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The  95% confidence interval for for the mean foot length for students at the college is found to be 21.709 to 25.091 cm

Generally the width of a confidence interval is dependent on the margin of error.

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

From the above equation we see that

          E \ \  \alpha \ \   Z_{\frac{\alpha }{2} }

Here  Z_{\frac{\alpha }{2} }  is the critical value of the half of the level of significance and this value  increase as the confidence level increase

Now if a  99% confidence level is  used , it then means that the value of  

 Z_{\frac{\alpha }{2} }  will increase, this in turn will increase  the margin of error and in turn this will increase the width of the confidence interval

Hence a 99% confidence interval  will be wider than a 95% confidence interval

5 0
3 years ago
An airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?
rewona [7]

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?<u>200</u>

5 0
3 years ago
What is the range of the relation?​
tia_tia [17]
The correct answer is (-2,1,2,8)

The range are the y- values

The explanation:

The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Hope this helped you :D
7 0
3 years ago
Simplify.<br>Enter your answer, in simplest form, (in the boxes).
zepelin [54]

Answer:

1/4

Step-by-step explanation:


5 0
3 years ago
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
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