Answer:
The number is 6.25
Explanation:
Assume that the number we are looking for is x
First, we will set up the equations as follows:
1- Subtract 1.05 from the number (assume the result is y):
x - 1.05 = y
2- Multiply the difference by 0.8 (assume the product is z):
0.8(y) = z
3- add 2.84 to the product (assume the result is w):
z + 2.84 = w
4- divide the sum by 0.01, the quotient is 700:
w / 0.01 = 700
Now, we will work backwards as follows:
4) w / 0.01 = 700
w = 0.01 * 700
w = 7
3) z + 2.84 = w
z + 2.84 = 7
z = 7 - 2.84
z = 4.16
2) 0.8y = z
0.8y = 4.16
y = 4.16 / 0.8
y = 5.2
1) x - 1.05 = y
x - 1.05 = 5.2
x = 5.2 + 1.05
x = 6.25
Hope this helps :)
Answer: 0.0668
Step-by-step explanation:
Given: Mean : 
Standard deviation : 
The formula to calculate z-score is given by :_

For x= 4 minutes , we have

The P-value = 
Hence, the probability that on a given run, the time will be 4 minutes or less = 0.0668
Answer: CONFOUNDING VARIABLES
Step-by-step explanation: Confounding variables are
unexpected external factor that affects both variables of interest, confounding variables usually gives the false impression that changes in one variable leads to changes in the other variable, when, in Actual, it is the external factor that caused the change being investigated. Confounding variables usually leads to wrong conclusions during research and experiments and are capable of causing biased outcomes when the real cause and effect relationship is not determined.
The ratio is 5:7 when you are dealing with total membership. In other words, out of every 7 members, 5 will be men and 2 will be women
The ratio will look like this
5:7 = x:735 change to a proportion
5/7 = x / 735 Cross Multiply
7*x = 5 * 735 Combine the right
7*x = 3675 Divide by 7
x = 3675/7 Divide
x = 525
Answer: 525 men