To solve for C, you have to get both of the numbers with a C on the same side. So, subtract the 5c from the right side onto the left side.
![8c = 5c + 21\\8c - 5c = 5c - 5c + 21\\3c = 21](https://tex.z-dn.net/?f=8c%20%3D%205c%20%2B%2021%5C%5C8c%20-%205c%20%3D%205c%20-%205c%20%2B%2021%5C%5C3c%20%3D%2021)
Then, divide by 3 on each side.
![3c = 21\\3c /3 = 21/3\\c = 7](https://tex.z-dn.net/?f=3c%20%3D%2021%5C%5C3c%20%2F3%20%3D%2021%2F3%5C%5Cc%20%3D%207)
So, c = 7.
Answer:
![0.625 \pm 1.645*0.0571](https://tex.z-dn.net/?f=0.625%20%5Cpm%201.645%2A0.0571)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
is the estimate
z is the zscore that has a pvalue of
, also called the critical value.
The standard error is:
![s = \sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
90% confidence level critical value
So
, z is the value of Z that has a pvalue of
, so
.
Estimate:
72 petty theft cases and finds 45 of these have gone unsolved.
So ![\pi = \frac{45}{72} = 0.625](https://tex.z-dn.net/?f=%5Cpi%20%3D%20%5Cfrac%7B45%7D%7B72%7D%20%3D%200.625)
Standard error:
![s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.625*0.375}{72}} = 0.0571](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%20%5Csqrt%7B%5Cfrac%7B0.625%2A0.375%7D%7B72%7D%7D%20%3D%200.0571)
Answer:
![0.625 \pm 1.645*0.0571](https://tex.z-dn.net/?f=0.625%20%5Cpm%201.645%2A0.0571)
300.84m^2
First, set up the equation
A=27.6•10.9
Next, multiply(use a calculator)
And you get the answer.
^2 means squared.
If the framed picture is shaped like a square and has a 12 square foot surface area, then the answer is yes, it will fit flush against the edge of the crate.
Given Part A:
the volume of the cube = 64 cubic feet
therefore, ∛64 = 4 feet
hence one edge measures 4 feet.
Now for Part B:
the area of the square is 12 square feet.
hence, √12 = 3.36 feet.
we can observe that 3.46<4
which indicates that the area covered by the painting is less than that of the one side of the crate, which makes it easy for the painting to fit in the crate.
Hence the painting will fit a side of crate.
Learn more about Area and Perimeter here:
brainly.com/question/24571594
#SPJ9
Your question was incomplete. Please find the missing content here.
While packing for their cross-country move, the Chen family uses a that has the shape of a cube. PART A PART B If the crate has the volume V = 64 cubic feet, The Chens want to pack a large, framed painting. If an area of 12 square feet , will the painting fit flat what is the length of one edge? the framed painting has the shape of a square with against a side of the crate? Explain.