Answer: C
Step-by-step explanation:
Since the heights of the men are assumed to be normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of the men.
µ = mean height
σ = standard deviation
From the information given,
µ = 70.7 inches
σ = 2.1 inches
The probability that they have a mean height greater than 71.7 inches is expressed as
P(x > 71.7) = 1 - P(x ≤ 71.7)
For x = 71.7
Since n = 36, then
z = (71.7 - 70.7)/2.1/√36 = 2.86
Looking at the normal distribution table, the probability corresponding to the z score is 0.998
P(x > 71.7) = 1 - 0.998 = 0.002
The two equations are
2x+3y=12............(1)
x-y-1=17................(2)
x=17+y+1=18+y
x=18+y.............(3)
plugging value of x from (3) in (1)
2(18+y)+3y=12
36+2y+3y=12
36+5y=12
5y=-24
y=-24/5=-4.8
plugging this y in equation (3)
x=18+y = 18-4.8 =13.2
Answer : x=13.2 and y=-4.8
Answer:
5.36
Step-by-step explanation:
Given that:
<BAD = <CAE, therefore, BD = EC
Let's take x to be the length of BD = EC
BD + DE + EC = BC
BC = 20,
BD = EC = x
DE ≈ 9.28
Thus,
x + 9.28 + x = 20
x + x + 9.28 = 20
2x + 9.28 = 20
Subtract 9.28 from both sides
2x + 9.28 - 9.28 = 20 - 9.28
2x = 10.72
Divided both sides by 2 to solve for x
![\frac{2x}{2} = \frac{10.72}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%7D%7B2%7D%20%3D%20%5Cfrac%7B10.72%7D%7B2%7D%20)
![x = \frac{10.72}{2}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B10.72%7D%7B2%7D%20)
![x = 5.36](https://tex.z-dn.net/?f=%20x%20%3D%205.36%20)
BD ≈ 5.36
To calculate the volume, we use the data given above. For this problem we are asked to convert cups to mL.
volume = ( 2 cups) <span>225 mL / 1 cup = 450 mL
The student's error in converting is that she divide the conversion factor instead of multiplying it, wrote the conversion factor incorrectly and the units of his final answer is wrong.</span>
Answer:5.4
Step-by-step explanation:
30% of 18= 18% of 30
10% of 18= 1.8
1.8 times 3=5.4