C.35%
If you divide the number of hearts drawn by the number of total draws you get your answer.
14/20=0.35
Answer:
D. f(x) is shifted up 1 unit to g(x).
Step-by-step explanation:
Just let's look at the y-intercept of each function.
f(0) = 0
g(0) = 1
Also remember that a vertical shift of N units is written as:
g(x) = f(x) + N
where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.
then we can write, for the particular value x = 0
g(0) = f(0) + N
replacing the values
1 = 0 + N
1 = N
Then N is positive, so we have a shift up of one unit.
The correct option is:
D. f(x) is shifted up 1 unit to g(x).
We can find the slope of this line by using the slope formula:
We'll use the points (-6, 0) and (0, -3)
(-3 - 0) / (0 + 6) = -3/6 = -0.5
The slope of the line is A, -1/2
For the first part you need to find 85% of 16,000. its 13,600. you get this by multiplying .85 by 16,000.
for part two, i don't know how to show the work, but 816 is 96% of 850.
sorry about that, but i hope it helps
Answer:
Yes
We fail to reject the alternative hypothesis Hₐ < 30, that is the average age of students is less than 30
Step-by-step explanation:
Yes because, there is an average age of a sample which can be tested against a null hypotheses
We put
Null hypothesis as H₀ = 30
The alternative hypothesis as Hₐ < 30
We have
With
= 29
μ = 30
σ = 5.2
n = 65
α = 10%
We have
Here we have z = -1.55 and critical z = -1.28
Which gives a critical of 29.83 with the probability P = 0.061 < 0.1 Hence we reject the null hypothesis as there is sufficient evidence to suggest that the average age is less than 30 years.
