Answer:
1. x = 67.5
2. x = 2.5
3. x = 35.2
4. x = 2.0
5. x = 17.0
Step-by-step explanation:
Question 1
The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:
2x/9 = 15
2x = 9(15)
Next solve for x:
2x = 135
x = 67.5
Question 2
The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:
20x/8.7 = 5.8
20x = 8.7(5.8)
Next, solve for x:
20x = 50.46
x = 2.523
Round to the nearest tenth:
x = 2.5
Question 3
The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:
5x/16 = 11
5x = 11(16)
Next, solve for x:
5x = 176
x = 35.2
Question 4
The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:
0.5x/0.06 = 17
0.5x = 17(0.06)
Next, solve for x:
0.5x = 1.02
x = 2.04
Round to the nearest tenth:
x = 2.0
Question 5
The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:
29(44)/x = 75
29(44) = 75x
Next, solve for x:
1276 = 75x
x = 17.0133
Round to the nearest tenth:
x = 17.0
Answer:
∠JKH and ∠GHF
Step-by-step explanation:
<em>hey there,</em>
<em />
< Corresponding means "the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal." The lines here are parallel so they are equal.
If you don't understand the meaning of the angles also, feel free to ask me about that too.
The two angles I listed are equal to equal to each other. When you look at the other options, they aren't equal, they might look less or more degrees.
If this won't be a multiple choice but short answer, try looking at angles that look similar and see if they would be able to match with the angle given. >
<u>Hope this helps! Feel free to ask anything else.</u>
Answer:
Atleast 93.75% of data lies between 15 and 31.
Step-by-step explanation:
We are given the following in the question:
Mean = 23
Standard deviation = 2
We have to find he data lying between 15 and 31.
Thus, we have to find the data lying within 4 standard deviation from the mean.
Chebyshev's Theorem:
- According to this theorem atleast percent of data lies within k standard deviation of mean.
- For k = 4.
Thus, atleast 93.75% of data lies between 15 and 31.
Answer:
2x-25
Explanation:
2(x-4^2)+7
1) Find the exponent
=2(x-16)+7
2) Use the distributive property on the parentheses
=2x-32+7
3) Subtract 32 and 7
=2x-(32-7)
=2x-25
I hope this helps! Please comment if you have any questions.