Answer:
29
Step-by-step explanation:
Triangle E G F is shown. The length of E G is 10 and the length of E F is 12. Angle E F G is 56 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
The area of triangle EFG is 34.8 square units. What is the perimeter of triangle EFG to the nearest unit?
29 units
30 units
41 units
60 units
Answer:
0.6826
Step-by-step explanation:
Mean(μ) = 37
Standard deviation (σ) = 9
P(28 < x < 46) = ???
Using normal distribution
Z = (x - μ)/σ
For x = 28
Z = (28 - 37)/9
Z = -9/9
Z = -1
For x = 46
Z = (46 - 37)/9
Z = 9/9
Z = 1
We now have
P(-1 < Z < 1)
= P(Z < 1) - P(Z < -1)
From the table, Z = 1 = 0.3413
φ(Z) = 0.3413
Recall that
When Z is positive, P(x<a) = 0.5 +φ(Z)
P(Z<1)= 0.5 + 0.3413
= 0.8413
When Z is negative, P(x<a) = 0.5 - φ(Z)
P(Z< -1)= 0.5 - 0.3413
= 0.1587
We now have
0.8413 - 0.1587
= 0.6826
The box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.
<h3>What is the Box-and-whisker Plot?</h3>
The box-and-whisker plot is a plot that displays the minimum, maximum, median, lower and upper quartile of a data, which is termed as the five-number summary of a data.
Given the data, 20, 23, 28, 14, 13, 24, 18, 11, find the five-number summary:
- Minimum - 11
- Lower Quartile - 13.5
- Median - 19
- Upper Qaurtile - 23.5
- Maximum - 28
Therefore, the box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.
Learn more about box-and-whisker ploton:
brainly.com/question/12343132
Answer:
24.2 marks
Step-by-step explanation:
25 + 36 + 20 + 15 + 24 + 30 + 38 + 32 + 22 = 242
since there are 10 students we divide 242 by 10 and get 24.2
It would be between 2.77 and 2.79