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:-

Cut the figure into two parts
area of a rectangle is length x width
10x5=50m
2x4=8
add them together
50+8=58
Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:

where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.


b) for 7500 g to reach to 6900 g


It will take 6 years for 7500 grams of X to reach 6900 grams.
Answer:
18
Step-by-step explanation:
2:3 x 9
18:27
18 + 27 = 45