Answer:
the 90% confidence interval is ( 48.684 , 51.316 )
Step-by-step explanation:
Given that :
the sample size = 36
Sample Mean = 50
standard deviation = 4.80
The objective is to calculate a 90% confidence interval.
At 90% confidence interval ;
the level of significance = 1 - 0.9 = 0.1
The critical value for
= 1.645
The standard error S.E =
=
= 0.8
The Confidence interval level can be computed as:
For the lower limit :
=50 - 1.316
= 48.684
For the upper limit :
=50 + 1.316
= 51.316
Thus, the 90% confidence interval is ( 48.684 , 51.316 )
It’s 1, anything to the zero power is one.
Answer:
A: 40in
Step-by-step explanation:
Volume of a rectangular pyramid is V= lwh/3
V= ((4)(5)(6))/3
V= 40 in
Answer:
<h2>a.) reflect across x-axis</h2>
Step-by-step explanation:
The transformation described is about multiplying the vertical value by -1:
That means all vertical coordinates will change to the opposite side, but all horizontal coordinates will maintain at the same coordinate.
As a result, we'll have a reflection across the x-axis, because the y coordinates were transformed.
Therefore, the right answer is A.
Answer:
C
Step-by-step explanation:
Option C is the only one that's linear because it follows all of the rules for a line to be linear. To check, use the process of elimination:
A). When x is an absolute value, the line will not be linear because an input will have two outputs.
B). x cannot be in the denominator of a fraction for the line to be linear
D). Once again, x cannot be an absolute value.
*Note: I'm assuming in option B, 7x is in the denominator and 1 is in the numerator. If the fraction is simply 1/7 multiplied by x, it is linear along with C.