Answer:
The distance between the two points, (3, -7) and (3,5) is 12
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Answer:
The total cost of purchasing and laying sods in the rectangular yard is $2,146.67
Step-by-step explanation:
We are given the following in the question:
Dimensions of rectangular yard:
Length = 50 feet
Width = 30 feet
Area of rectangular yard =

Cost of sod = $0.32 per square foot
Total cost of sod =

Cost of laying sods = $10 per square yard
Total cost of laying sod =

Total cost of purchasing and laying the sod =

Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67
Answer: 0.9104
Step-by-step explanation:
Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.
Mean : 
Standard deviation : 
Sample size : n=10
Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.
So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.
We assume that the length of the bolts are normally distributed.
Let X be the random variable that represents the length of randomly picked bolt .
For Z score : 
For x = 11.97

For x = 12.04

By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-

Hence, the probability that the shipment is found satisfactory=0.9104
1:2:3 is the answer mark as brain linear pls
The future value of the amount deposited will be given by:
FV=p(1+r/100n)^nt
where:
FV=future value
p=principle
r=rate
n=terms
t=time
thus substituting our values in the formula we get:
FV=4000(1+5.4/1200)^(6×12)
FV=$5,526.57
Answer: $5,526.57