Find the length of the third side. If necessary, round to the nearest tenth.<br> 15<br> 12

Michael drives to work each day. He travels a total of 160 miles at the end of the work week. How far is Michael's house from wo

kobusy [5.1K]

Answer:

16 miles

Step-by-step explanation:

Assume the working day in a week is 5.

Given:

Michael drives 160 miles at the end of the work week. therefore as per assumption,

5 days of travelling distance = 160 miles

To find the distance of Micheal's house from work.

Solution:-

5 days of travelling distance = 160 miles --------------------(given)

Now,

Per day driving for work = $\frac{5\ days\ of\ travelling\ distance}{5}$

Per day driving for work = $\frac{160}{5}$

Per day driving for work = $32\ miles$

So, Micheal drives to work each day is 32 miles.

Therefore, the one side driving of Micheal is equal to distance of Micheal's house from work.

One side driving of Micheal = $\frac{Per\ day\ driving}{2}$

One side driving of Micheal = $\frac{32}{2}$

One side driving of Micheal = 16 miles

Therefore, the distance of Micheal's house from work is 16 miles.

4 0

2 years ago

Which fractions are equivalent to 7/6? Select all that apply.

Mazyrski [523]

Answer:

C and D are equivalent.

Step-by-step explanation:

if you multiply 7/6 both by 2 it will =14/2 and also if you multiply 7/6 both by 10 you will get 70/60.

4 0

1 year ago

Please help it’s due in 7 minutes

tino4ka555 [31]

9514 1404 393

Answer:

x = 8

y = 4sqrt(3)

Step-by-step explanation:

Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...

1 : √3 : 2 = 4 : y : x

Multiplying the reduced ratios by 4 gives ...

4 : y : x = 4 : 4√3 : 8

That is, ...

x = 8

y = 4√3

6 0

2 years ago

I furniture sales person sells account for $1560 she receives a 2.75% commission on the sale of the cat how much did she earn on

horrorfan [7]

Just 1560x.0275

$42.90

5 0

2 years ago

All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca

lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions 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.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that $\mu = 82, \sigma = 4.5$

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

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

$Z = \frac{92 - 82}{4.5}$

$Z = 2.22$

$Z = 2.22$ has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0

3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 15 12