Let x = John's age now
half of what johns age was 4 years ago: (1/2)(x-4)
is equal to one third of what it will be in 5 years time: (1/3)(x+5)
(1/2)(x-4) = (1/3)(x+5)
3(x-4) = 2(x+5)
3x - 12 = 2x + 10
The 3 inside angles of a triangle need to equal 180 degrees.
Since you are given 2 angles, subtract both of those from 180 to find X.
X = 180 - 70 - 30 = 80 degrees.
X = 80
Answer:
We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 31.7 milligrams
Sample mean, 
= 28.5 milligrams
Sample size, n = 9
Alpha, α = 0.05
Sample standard deviation, s = 2.8 milligrams
First, we design the null and the alternate hypothesis
We use One-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Answer: Simplify 8/10 which is 4/5.
Step-by-step explanation:
Answer:
The answers are C), D), and E) because these three answers satisfy the conditions above.
Step-by-step explanation:
Joseph could use C), D), and E) to make kebabs without any leftovers:
C) 30 pieces of meat and 40 pieces of vegetables
D) 45 pieces of meat and 60 pieces of vegetables
E) 72 pieces of meat and 96 pieces of vegetables
