It is because the 35.4% divided the 100% total is B. 0.354
Answer: 1.645
Step-by-step explanation:
Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.
Let 
represents the variance for 16 OZ bottles and 
represents the variance for 12 OZ bottles.
The Null and Alternative Hypothesis will be :-
, since alternative hypothesis is left-tailed , then the test is left-tailed test.
By using the standard normal distribution table for z, the critical value for this hypothesis:-
Answer: 18 1/6 feet
Step-by-step explanation:
From the question, we are informed that the rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet.
The perimeter would be calculated as:
= 2(length + width)
= 2( 5 1/3 + 3 3/4)
= 2( 5 4/12 + 3 9/12)
= 2( 8 13/12)
= 2 (9 1/12)
= 2 × 9 1/12
= 2 × 109/12
= 218/12
= 18 2/12
= 18 1/6 feet
First find the area of the whole pizza.
The formula for area of a circle is Area = PI x r^2
The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet.
I will use 3.14 for PI since the problem doesn't say what value to use.
Area = PI x 65.5^2
Area = 3.14 x 4290.25
Area = 13,471.39 square feet
Divide the total area by the number of pieces:
13,471.39 / 50 = 269.43 square feet
To find the length of the crust first find the circumference of the whole pizza:
Circumference = PI x diameter
Circumference = 3.14 x 131 = 411.34 feet
Now divide the total by the number of pieces:
411.34 / 50 = 8.23 feet
Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.
Answer:
6x - 4
Step-by-step explanation:
f(x) + g(x)
= 4x + 8 + 2x - 12 ← collect liketerms
= 6x - 4
