Answer: 13
Step-by-step explanation:
If the prior population proportion is unavailable then the formula to find the sample size is given by :-
, where z* = Critical z-value
E = margin of error
Let p be the proportion of Americans who support the gun control in 2018.
As per given , we have
Confidence level = 99%
The critical z-value for 99% confidence interval is 2.576 ( BY z-table)
Margin of error : E= 0.36
Since there no prior information about the proportion of Americans who support the gun control in 2018.
So , the required sample size to estimate 99% confidence interval would be:
Hence, 13 Americans should be surveyed.
Answer:
The length of MN is 30.
Step-by-step explanation:
It is given that △XYZ maps to △MNO with the transformation
This rule of transformation represents the dilation with scale factor 5 because the dilation about the origin is defined as
where, k is scale factor.
In dilation, the image and preimage are similar and scale factor is the ratio of corresponding side of image and preimage.
In △XYZ and △MNO,
Multiply both sides by 6.
Therefore the length of MN is 30.
Answer:
With the vertex 
We see that b = -10 and a = 2 and then the vertes wuld be:
And the best option is:
b. (-10,2)
Step-by-step explanation:
For this problem we have the following function:
And if we compare this expression with the general expression for a parabola given by:
With the vertex
We see that b = -10 and a = 2 and then the vertes wuld be:
And the best option is:
b. (-10,2)
Answer:
(0, -5)
Step-by-step explanation:
Answer:
A, D, E
Step-by-step explanation:
The perimeter is all of the sides added together
So, since a rectangle has 2 pairs of parallel congruent sides, or 2l and 2w, anything that would result in 2l+2w would be correct.
A, l+w+l+w=2l+2w
B, l*w cant be simplified more
C, 2*l*w would end up with 2l*w due to pemdas
D, 2(l+w)=2l+2w by distribution
E, (2*l)+(2*w)=2l+2w
