Answer:
<em>The probability of obtaining a score less than 60 is 2.28%
</em>
<em>It happens 2 out of 100 times.</em>
Step-by-step explanation:
If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60.
Then we find
To find this probability we use the Z statistic.
This is the same as
We look for this value in the table for the normal distribution of right queue and we have:
<em>The probability of obtaining a score less than 60 is 2.28%
</em>
<em>It happens 2 out of 100 times.</em>
Answer:
b. between $3.04 and $3.36
Step-by-step explanation:
Given,
Price of 1 gallon of gasoline = $3.20
Margin of Error = 5%
We have to find out average cost of gallon of gasoline.
For this, we have to find out 5% of the price of gasoline. Which is calculated by dividing 5 by 100 and then multiply it by 3.20.
Amount of margin of error = 
Hence The margin of error is ±, So we will subtract the amount of margin of error with actual amount of 1 gallon of gasoline. Also we will add the amount of margin of error with actual amount of 1 gallon of gasoline.
Margin of error 1 = 
Margin of error 2 = 
Hence the Average cost of a gallon of gasoline should be between $3.04 and $3.36.
Answer:
C) isosceles triangle
Step-by-step explanation:
equilateral triangle has all sides the same and all angles the same
180/3 = 60 so each angle is 60 degrees
A) obtuse triangle
means it has an angle bigger than 90 degrees
B) right triangle
that means it has an angle at 90 degrees
C) isosceles triangle
That means it has 2 sides that are the same
D) scalene triangle
that means it has no sides the same
If it has 3 sides the same. it must have 2 sides the same. So any equilateral triangle must be an isosceles triangle
Answer:
1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)
2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles
3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°
Step-by-step explanation:
1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.
2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.
3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles
Answer:
x = 50.9
Step-by-step explanation:
35.6 = √(15.3²) + √(x²)
35.6 = 15.3 + x
x = 35.6 + 15.3
x = 50.9
