Answer:
I can't see the picture.
Step-by-step explanation:
<span>-1/4y(2y^3 - 8)
= -1/2 y^4 + 2 y</span>
Answer:
Inches
Gallons
Kilometers
Yards
Step-by-step explanation:
We are to proffer the appropriate unit of measurement for each scenario given below :
a. My foot is 21 inches long. (unit for measuring length which are usually small such a a person's foot)
b. My large aquarium holds 55 gallons of water. (volume measurement of liquid in a large container)
c. My dad drives 27 kilometers to work each day. (distance measurement which are moderately long)
d. I just bought 12 yards of carpet to cover my family room floor. (length measurement used for materials such as cloth, carpet, rugs e.t.c).
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As,
= 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263
Answer:
y = 2 * 9 ^ x
Step-by-step explanation:
From the first point, you can get the value of a, since any number with power 0 with always equal to 1
Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.
- 1458 = 2b ^ 3
- 729 = b ^ 3
- B = 9