In ATUV, the measure of V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure

Novay_Z [31]

Answer:

God will help you and has a plan for you. Please don't cheat or look up answers. I used to be like you but I stopped. God always has a plan for you! Just remember this. He loves you. Share the message

Step-by-step explanation:

3 0

2 years ago

Find how many quarts of 6?% butterfat milk and 3?% butterfat milk should be mixed to yield 30 quarts of 5?% butterfat milk

Mrrafil [7]

Answer:

The 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .

Step-by-step explanation:

As given

6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .

Let us assume that x quarts are used for 6% butterfat milk .

Than (30 - x) quarts are used for 3% butterfat milk .

6% is written in the decimal form

$= \frac{6}{100}$

= 0.06

3% is written in the decimal form

$= \frac{3}{100}$

= 0.03

5% is written in the decimal form

$= \frac{5}{100}$

= 0.05

Than the equation becomes

0.06 × x + (30 - x) × 0.03 = 30 × 0.05

0.06x + 0.9 - 0.03x = 1.5

0.06x - 0.03x = 1.5 - 0.9

0.03x = 0.6

$x = \frac{0.6}{0.03}$

x = 20 quarts for 6% butterfat milk .

(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk .

Than 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .

5 0

3 years ago

Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4

slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 48, \sigma = 4$ .