If all 3 angles of a Triangle MUST equal 180°, then we know that we use the equation (for this triangle) to find the angle measurements as (180-90)/2 which means we are dividing 90/2 which is 45° for each angle. But these angles are different measures, so we have to guess upon this and say that YOUR ANSWER IS D

7 0

3 years ago

Recently, a random sample of 13-18 year olds was asked, "How much do you currently have in savings?" The data in the table re

Sonbull [250]

Answer:

μ = 235.38

σ = 234.54

Step-by-step explanation:

Assuming the table is as follows:

$\left[\begin{array}{cc}Savings&Frequency\\\$0-\$199&339\\\$200-\$399&86\\\$400-\$599&55\\\$600-\$799&18\\\$800-\$999&11\\\$1000-\$1199&8\\\$1200-\$1399&3\end{array}\right]$

This is an example of grouped data, where a range of values is given rather than a single data point. First, find the total frequency.

n = 339 + 86 + 55 + 18 + 11 + 8 + 3

n = 520

The mean is the expected value using the midpoints of each range.

μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520

μ = 122400 / 520

μ = 235.38

The variance is:

σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)

σ² = 55009.7

The standard deviation is:

σ = 234.54

6 0

2 years ago

(30 POINTS AND BRAINLIEST FOR BEST)

Romashka-Z-Leto [24]

Part A)

Multiply the amount he earned by 8.5%

8.5% written as a decimal is 0.085.

75,000 x 0.085 = $6,375

Part B)

Subtract the amount of tax from his earnings:

75,000 - 6,375 = $68,625

8 0

2 years ago