Answer:
X = 56
Step-by-step explanation:
Subtracting 169 degrees from a straight line (180 degrees) gives you 11 degrees. with this information you can add 11 and 114 to get 124. Then you can subtract that amount from 180 (the measure of any triangle) and get your answer which is 56. I hope this helped!
9 to 45 or 9:45 or 1:5. There are 9 students out of 45 students that have freckles. So there is 9 students with freckles to the total number of students which is 45. So it will be 9:45 or 1:5 if you simplify it.
The probability of a randomly chosen woman taller than 65 inches is 0.5
Step-by-step explanation:
To find the probability of a random variable X which has a normal distribution do that
- If X > b, find the z-score using the formula z = (b - μ)/σ, where μ is the mean and σ is the standard deviation
- Use the normal distribution table of z to find the corresponding area to the right of z-score (Area to the right = 1 - area to the left)
∵ The heights of adult women are normally distributed with
μ = 65 inches
∵ σ = 2.5 inches
- We need to find the probability of the woman taller than 65 inches
∵ X > 65
∴ b = 65
- Find z-score
∵ 
- Use the normal distribution table to find the area corresponding to z
∵ The corresponding area of z = 0 is 0.5
- Area to the right = 1 - area to the left
∴ P(x > 65) = 1 - 0.5 = 0.5
The probability of a randomly chosen woman taller than 65 inches is 0.5
Learn more:
You can learn more about the probability in brainly.com/question/4625002
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Since the quadrilateral is inscribed in the circle, the two angles add to a 180 degrees angle.
We deduce the following equation:

Solve for x like this:

Now we deduce the measure of A:
d = dimes
q = quarters
d=10+q
0.25q +0.10d = 3.45
0.25q + 0.10(10+q) = 3.45
0.25q + 1 +0.10q =3.45
0.35q=2.45
q = 2.45/0.35 = 7
d = 10+7 =17
0.25*7=1.75, 17*0.10 = 1.70, 1.75+1.70 = 3.45
she has 7 quarters and 17 dimes for a total of 24 coins