40 fifth graders take a bus to school. 8x8= 64 so they have you a good fraction to start with to find out how many kids are walking or taking their bike (3/8) all you have to do is multiply 3 and 8 which equals 24 to find the fraction of the amount of kids who take the bus you subtract 3 from 8 which gives 5/8 and to get the answer you multiply 5 and 8 which is 40.
Answer:
The correct answer is option D. 69°
Step-by-step explanation:
Points to remember
1). The sum of angles in a linear pair is 180°
2). In a triangle sum of two angles are equal to the exterior angle of third angle
From the figure we can see a triangle in which two exterior angles area given.
<u>To find the value of n</u>
from figure we get,
n = (interior angle of 131° + interior angle of 160°)
interior angle of 131° = 180 - 131 = 49°
interior angle of 160° = 180 - 160 = 20°
n = 49° + 20° = 69°
Therefore the correct answer is option D. 69°
Answer:
5.8
Step-by-step explanation:
To get the mean, add up all the numbers
9+4+8+3+5 = 29
Then divide by how many numbers there are (5)
29/5 =5.8
The mean is 5.8
We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words,
.
We also know that E=5% or E=0.05
Also, since,
is not given, we will assume that
=0.5. This is because, the formula that we use will have
in the expression and that will be maximum only when
=0.5. (For any other value of
, we will get a value less than 0.25. For example if,
is 0.4, then
and thus,
.).
We will now use the formula

We will now substitute all the data that we have and we will get



which can approximated to n=271.
So, the brand manager needs a sample size of 271
Work: -3p-(-8+4p)
Distribute
-3p+8-4p
Combine
-7p+8
Answer: -7p+8
Hope that helps