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2 answers:
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Answer:
The perimeter of the triangle is 105 cm.
Step-by-step explanation:
The ratio of sides of a triangle is .
The length of middle side is 35 cm.
Let first side of the tringle is , length of third side is
. middle side is of 35 cm.
So, the ratio of length of sides can be written as,
Compare the ratio to get the value of and
.
Now, the sides of the triangle are 25 cm, 35 cm and 45 cm.
Thus, the perimeter of the triangle will be the sum of all sides and can be calculated as,
Therefore, the perimeter of the triangle is 105 cm.
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$62,342 is the salary earned by Ava.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
Xavier's salary = $42,700
<u>step 2</u> :
Ava's salary = 46% higher than Xavier salary.
= 100% of Xavier salary + 46% of Xavier salary
= 146% of Xavier salary
<u>step 3 </u>:
Ava is earning a salary = (146/100)42,700
= 146 427
= 62,342
∴ Ava is earning a salary of $62,342.
Answer:
For the student who is studying 10 hours a week is in the 57.93th percentile.
Step-by-step explanation:
Corresponding z-score for the student who studies 10 hours a week can be calculated by the formula
z= where
- x is the hours student work in a week, which is 10,
- M is the mean studying hour of the class, which is 9.92,
- s is the standart deviation which is 4.54
from here we find that z=≈0.2
Corresponding percentile for z=0.2 is 57.93