Answer: B. 33.1
Step-by-step explanation:
Use sin to solve (opposite/hypotenuse)
let x= length of CV
sin(37)=x/55
x=55sin(37)
x≈33.1
The measure of ∠BEC would be 80 degrees
Answer:
The midpoint is (10, 4)
Step-by-step explanation:
To find the midpoint, you add the x value from the first coordinate and the x value from the second coordinate, then divide by two to get the x coordinate of the midpoint. You do the the same exact thing with the two y values to find the y coordinate of the midpoint.
2 + 18 = 20
20 / 2 = 10
1 + 7 = 8
8 / 2 = 4
(10, 4)
Hope this helps!
Answer:
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Step-by-step explanation:
The null and alternative hypotheses are stated as
H0: u ≥ 1750 i.e the mean is less and equal to 1750
against the claim
Ha: u > 1750 ( one tailed test) the mean is greater than 1750
Sample mean = x`= 1754
Population mean = u = 1750
Population deviation= σ = 65 pounds
Sample size= n = 100
Applying the Z test
z= x`- u / σ/ √n
z= 1754- 1750 / 65/ √100
z= 4/6.5
z= 0.6154
The significance level alpha = 0.1
The z - value at 0.1 for one tailed test is ± 1.28
The critical value is z > z∝.
so
0.6154 is < 1.28
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Answer:
cups
Step-by-step explanation:
Given: A baker is using a cookie that calls for 2 
cups of flour to yield 36 cookies.
To find the number of flour will the baker need to make 90 cookies, we form a proportion.
Let's convert 2 to improper fraction.
Let "x" be the amount flour to make 90 cookies
<u>Amount of Flour</u> <u>Number of cookies</u>
36
x 90
Now form a proportion.
Now let's cross multiply, we get
Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get
x = cups
So the baker needs cups to make 90 cookies.
