Which fractions are equal to −9/36?
2 answers:
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ANSWER
The vertex is (-2,1)
EXPLANATION
We want to find the vertex of
We complete the square to obtain,
The first three terms forms a perfect square trinomial.
The vertex form is
This equation is in the form;
where (h,k)=(-2,1) is the vertex.
The vertex is (-2,1)
EXPLANATION
We want to find the vertex of
We complete the square to obtain,
The first three terms forms a perfect square trinomial.
The vertex form is
This equation is in the form;
where (h,k)=(-2,1) is the vertex.
Answer:
474.5 ft ³
Step-by-step explanation:
<u>1) Find the volume of the cube</u>
where l is the side length
Plug in 9 ft as l
Therefore, the volume of the cube is 729 ft³.
<u>2) Find the volume of the cylinder</u>
where r is the radius of the base and h is the height of the cylinder
Plug in 3 ft as the radius and 9 as the height
Therefore, the volume of the cylinder is approximately 254.5 ft ³.
<u>3) Subtract the volume of the cylinder from the volume of the cube</u>
729 ft³ - 254.5 ft ³
= 474.5 ft ³
Therefore, the volume of the figure is 474.5 ft ³.
I hope this helps!
Answer:
The 98% confidence interval for the average credit card balance is
(564.04, 635.96).
Step-by-step explanation:
We have to calculate the 98% confidence interval on the average credit card balance.
The sample will consist of the n=30 customers that have credit card.
The sample has a mean of $600 and a standard deviation of $80.
As the population standard deviation is estimated from the sample standard deviation, we will use a t statistic.
The degrees of freedom are:
The critical value for a 98% CI and 29 degrees of freedom is t=2.463 (this can be looked up in a t-table).
Then, the margin of error is:
Then, the upper and lower bounds of the confidence interval are: