Answer:
The number line is shown below.
Step-by-step explanation:
We need to represent number that is less than 3 on a number line.
Let x be numbers.
So,
.
Now, we have a number which represents x<3. Here 3 is not included in the solution set, so there is an open circle on 3 and left side of 3 are in the solution set.
The number line is shown below.
We can find the diameter by dividing the circumference by 3.14
d = 22
Thus, our radius is 11.
r = 11
Now, let's use the area formula (

) to solve for the area.
a =
Answer:the z score is - 1
Step-by-step explanation:
Assuming a normal distribution for the delivery time of sandwiches by Sammy's Sandwich Shop. We would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = delivery times
u = mean delivery time
s = standard deviation
From the information given,
u = 25 minutes
s = 2 minutes
We want to determine the z-score for the number of sandwiches delivered in less than 23 minutes. It becomes
z = (23 - 25)/2 = - 1
Answer:
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

Total outcomes:
4 students from a set of 13(number of students in the lottery). So

Probability:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Answer:
f(9) = 42
Step-by-step explanation:
f(9) = (-9)*2 + 5*9 +15
= -18 + 45 + 15
= 42