Answer:
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
Step-by-step explanation:
Given that:
Mean = μ = 150
SD = σ = 12
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 135
x2 = 167
So,
And
We have to find area to the left of both points then their difference to find the probability.
So,
Area to the left of z1 = 0.1056
Area to the left of z2 = 0.9207
Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151
Hence,
The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)
The value of y in the triangle is 2√5
The triangle above is a right angle triangle.
Characteristics of a right angle triangle:
- One of its angle is equals to 90 degrees
- The sides can be found using Pythagoras theorem.
Using Pythagoras theorem
where
c = hypotenuse(longest side)
a and b are the 2 other legs.
Therefore,
6² = 4² + y²
36 = 16 + y²
y² = 36 - 16
y² = 20
y = √20
y = 2√5
learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults
Answer:
line C
Step-by-step explanation:
The equation would be
y= 1/2x
So that means the slope is 1/2
Starting at (0,0) we would go up 1 and over 2
That would be point (1,2)
That is the purple line, line C
First of way to many questions, but Ill answer them
1) 5/9, 75/135 2) 5/11 3) 10/3 4) 13 quarts 5) 120 6) in 108 minutes
7) 3/4<33/40 8) 3/8<2/3<19/24
