Answer:
Percentage of scores that fall between 70 and 80 = 24.34%
Step-by-step explanation:
We are given a test with a population mean of 75 and standard deviation equal to 16.
Let X = Percentage of scores
Since, X ~ N(
)
The z probability is given by;
Z = 
~ N(0,1) where, 
= 75 and 
= 16
So, P(70 < X < 80) = P(X < 80) - P(X <= 70)
P(X < 80) = P( < 
) = P(Z < 0.31) = 0.62172
P(X <= 70) = P( < 
) = P(Z < -0.31) = 1 - P(Z <= 0.31)
= 1 - 0.62172 = 0.37828
Therefore, P(70 < X < 80) = 0.62172 - 0.37828 = 0.24344 or 24.34%
Answer:
104°
Step-by-step explanation:
In order to find out the value of x we must figure out the other angles. The line on the extended side adds up to 180 degrees. Use that information to find the other angle.
180 - 128 = 52
The one angle is 52. Then, we know that a triangles angles always add up to 180 degrees as well. So create an equation:
180 - 52 - 24 = 104
<em>If a "Junior Class" has 50 students in total and 25 take french, 15 take latin, and 10 take both you find the answer be using subtraction and addition.</em>
<em>Problem Solved:</em>
<em>50 - (25 + 15 + 10)</em>
<em>= 50 - 50 </em>
<em>= 0</em>
<em>So, your answer is correct. Since all students take at least one language class (French, Latin, or Both) the probability that the chosen student takes none of those because all students take at least one. Hope this helped!</em>
<u>Answer: a. 0 (neither)</u>
Answer:
Step-by-step explanation:
As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.
Where 
and 
So, the slope of the line that best fits is -11, approximately.
Now, we use the point-slope formula to find the equation.
Therefore, the line that best fits is approximately.
Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.
To calculate any speed, the equation is speed=distance/time
Basically, you first need to take your 9 hours and 15 minutes and combine them into a number with a decimal value.
So, 15*4=60
Sound familiar? Good, because 25*4=100, so they are the same here.
So, we can say 9 hours and 15 minutes is equal to 9.25
Take this now: Speed=538/9.25
You get 58.1621, which you can round to 58.2
This is, of course, your final answer, so Joe drove at 58.16 mph
