Answer:
Step-by-step explanation:
a)
Test statistic:




here test statistic lie in rejection region,that why null hypothesis fails
so Yes, its significant.
b)
Test statistic:




c)
sample variability increases, therefore likelihood of rejecting the null hypothesis decreases.
The total amount that Chang will received from his wages is the product of his hourly wage times the number of hours he has worked (n). His total savings should not be less than $125. The equation that best describes the situation is,
45 + 7n ≥ 125
Solving for n in the inequality gives an answer of n≥11.42 hours. Thus, he needs to work for at least 12 hours.
6. (5y+2)+14x=5y+(2+14x) (1point) A.associative property of addition B.associative property of multiplication C.commutative property of addition D.commutative property of multiplication 7. (m*n)*p=m*(n*p) (1 point) A. commutative property of addition B.commutative property of multiplication C.associative property of addition D. associative property of multiplication
First, let's construct an algebraic equation to formally find the answer:
Let x represent (the value of) the unknown number.
x²= 5x + 24 --- This equation shows that the (positive) number's square equals 24 more than 5 times the number.
Now we can solve for x (the number):
x² = 5x + 24
x² - 5x - 24 = 0
(x + 3)(x - 8) = 0
x = -3, 8
Therefore, this means that x (the number ) can be either -3 OR 8. Both will satisfy the description.
Hope this helps!
Answer:
75.76% probability that there will be 10 or more customers at this bank in one hour.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A bank gets an average of 12 customers per hour.
This means that 
Find the probability that there will be 10 or more customers at this bank in one hour.
Either there are less than 10 customers, or there are 10 or more. The sum of the probabilities of these events is 1. Then

We want 
Then

In which

So












Then

75.76% probability that there will be 10 or more customers at this bank in one hour.