Answer:
x = 63 y = 27
Step-by-step explanation:
The straight line is 180 degrees
subtract 117 from 180 to get 63
It says x+7= 90, so subtract x(63) from 90 to get 27
Answer:
\mu = 14.5\\
\sigma = 5.071\\
k = 1.084
Step-by-step explanation:
given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.
i.e. his findings with respect to probability are

Recall Chebyshev's inequality that

Comparing with the Ii equation which is appropriate here we find that

Next what we find is

Thus from the given information we find that

Answer:
The original selling price would be $ 515.87 ( approx )
Step-by-step explanation:
Consider the complete question is :
"A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $325. Find the original selling price of the ski set. It was marked down 10% and 30%"
Suppose x be the original selling price ( in dollars ),
After marking down 10%,
New selling price = x - 10% of x = x - 0.1x = 0.9x
Again after marking down 30%,
Final selling price = 0.9x - 30% of 0.9x
= 0.9x - 0.3 × 0.9x
= 0.9x - 0.27x
= 0.63x
According to the question,
0.63x = 325

Therefore, the original selling price would be $ 515.87.
Answer:
45% increase
Step-by-step explanation:
The new number (87) is bigger than the original number (60), so this is a percent increase.
To find the percent of change, which in this case is a percent increase, take the change amount and divide by the original, then convert to a percent.
Subtract to find the change.
87 - 60 is 27.
27 is the amount of change.
change/original
= 27/60
= .45
Times by 100 to change to a percent.
.45 × 100
= 45%
Find logarithm of both sides
log (3^x) = log 8
xlog3 = log8
x = log8/log3
x = 1.893