There is a designated formula for this circle drawing. This is a secant-secant scenario, and in this case, the formula is:
CD(CD+X)=CB(CB+AB)
Plug the values in.
AB=42
BC=18
CD=4
4(4+x)=18(18+42)
Solve for x.
16+4x=1080
4x=1064
x=266
Your answer is C
Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation = 
= 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:
Substituting the values, we get:
This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%
Answer:
5 books must be read in 1 month for the total charges from each club to be equal.
Step-by-step explanation:
Monthly Charges of ABC club = 40$
Per book read charges of ABC club = 2$
amount of book read = x
Total charges of ABC club = 40 + 2x
Monthly Charges of Easy book club = 40$
Per book read charges of Easy Book club = 3$
Total charges of Easy book club = 35 + 3x
To calculate how many books must be read in 1 month for the total charges from each club to be equal,
Total charges of ABC club = Total charges of Easy book club
40 + 2x = 35 + 3x
40 - 35 = 3x -2x
5 = x
x = 5
Therefore, 5 books must be read in 1 month for the total charges from each club to be equal.
Answer:
152.4 cm
Step-by-step explanation:
Wesly is 5 feet and 3 inches tall. Since there are 12 inches in one foot, 5 feet has 60 inches. This means Wesly is 63 inches tall. If one inch is 2.54 cm then 60(2.54) is Wesly's height in centimeters. 60(2.54) = 152.4
