Answer:
21
Step-by-step explanation:
When we plug in the values our equation becomes,
3^3+11(2)-4(7)=
All we have to do now is solve it.
27+22-28=
49-28=21
Answer:
41/8
Step-by-step explanation:
Answer:
1.415
Step-by-step explanation:
The sample standard deviation will be used, so we will build the confidence interval using the student's t-distribution.
T - interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 7
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of 0.90(
). So we have T = 1.415
So the answer is:
1.415
Because both of them are congruent triangles.
The have sides that equal to each other, angles that equal to each other and a common base.
Answer:
0.9975 = 99.75% probability of getting at least 1 call between eight and nine in the morning.
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
The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 6.
This means that 
Calculate the probability of getting at least 1 call between eight and nine in the morning.
Either you get no calls, or you get at least one call. The sum of the probabilities of these events is decimal 1. Mathematically, we have that:

We want
. So

In which


Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0025 = 0.9975[tex]
0.9975 = 99.75% probability of getting at least 1 call between eight and nine in the morning.