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.
Answer:
<em>n = 6 </em>
Step-by-step explanation:
2.3 × 
= (1 × 10³)(2.3 × 
)
(1 × 10³)(2.3 × ) = (1)(2.3) × (10³)( ) = 2.3 × 
2.3 × = 2.3 × ⇒ 3 + n = 9 ⇒ <em>n = 6</em>
The green line is the graph of [ y = -2x + 1 ].
The red line is the graph of [ y = 2x - 3 ].
Choice 'C' says this.
X to the power of 8
When dividing powers, you subtract the "small numbers". When multiplying, you add them. 3-(-5) = 8
Hope it helps!
