Answer:
16 runners finished the race under 13 minutes.
Step-by-step explanation:
If you look at the green bars that are 11:00-12:59, 9:00-10:59 and 7:00 to 8:59 you will notice they are all under 13, The number of runners that finished it in 11:00-12:59 are 8, The number of runners that finished it in 9:00-10:59 are 6 and The number of runners that finished it in 7:00-8:59 are 2. 8+6+2 = 16
Answer:
Option A) 0.0074
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 110
Sample mean,
= 20
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 115.35
First, we design the null and the alternate hypothesis
We use two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have

Now, we calculate the p-value from the standard normal table.
P-value = 0.0074
Thus, the correct answer is
Option A) 0.0074
Answer:
To solve this you must first know how Log works.
When we say log1000 of base 10
Or
log1000=3
What we actually say is for the power 3(value on RHS) of 10(the base of log) we get 1000(the value on which log is performed).
So log2x=−5 (i am assuming base 10 since it is simple algebra) means that
2x=10−5
x=10−5/2
Do this simple calculation and you have it. If anything is unclear/incorrect feel free to comment.
The question is not written properly, so I will give the answer(s) I think would be suitable.
If you were trying to solve this
log2x=−5
⟹x=2−5
⟹x=132
But if you were trying to solve this
log2x=−5
⟹log102x=−5
⟹2x=10−5
⟹x=12×105=1200000
Step-by-step explanation:
Hope it is helpful...
Answer:
The line is y = (1/2)x + 3
Step-by-step explanation:
We can calculate a slope. I'll use the two points (-4,1) and (-1,2.5).
Rise = (2.5-1) = 1.5
Run = (-1-(-4)) = 3
Rise/Run = Slope = (1.5/3.0) = 1/2
Find b, the y-intercept, by using point (-4,1) in the equation y = (1/2)x + b
y = (1/2)x + b
1 = (1/2)*(-4) + b
1 = -2 + b
b=3
The line is y = (1/2)x + 3
Answer:1, 2, 3, 4, 6, 12,
Step-by-step explanation:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
Multiples of 8- 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96