We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.
So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.
In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data
Similarly position of the point 37.5% below the mean will be located at
50 - 37.5% = 12.5% of the overall data
From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.
Using these z scores, we can find the values which contain 75% of the values about the mean.
z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:
150 - 1.15(25) = 121.25
z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:
150 + 1.15(25) = 178.75
So, the interval from 121.25 to 178.75 contains the 75% of the data values.
Option D:
Solution:
Given expression is 
.
<u>To find the product of the expression:</u>
Multiply each term of the first term with each term of the 2nd term.
Using the exponent rule: 
Arrange the terms with same power.
Hence option D is the correct answer.
Place value is the value each digit has in its position: in order from higher to lower value, there is thousands, hundreds, tens, and ones.
When you divide by 10, you are moving (only once) every digit from its present place value to the right.
For example 6430 : 10= 643, you have moved every digit to the right, making the zero disappear (or better yet, separated by a hidden and in this case useless comma).
Answer:
7. 225, 315
Step-by-step explanation:
Answer:
x= 13
both angles are equal to 106
Step-by-step explanation:
8x + 2= 14x - 76
-8x +76 - 8x +76
78 = 6x
78/6 = 13
8 (13) + 2 = 104 + 2 = 106
14(13) - 76 = 182 - 76 = 106
