Answer:
9.16 minutes per mile
At 10 miles, she is short of her intended rate
Step-by-step explanation:
2 hours means 60 * 2 = 120 minutes
Randy aims to run 13.1 miles in 120 minutes. So to get the rate [min/mi], we must divide total minutes by total miles:
120/13.1 = 9.16 minutes per mile
Moreover, she realized at 10 miles, she has taken 90 minutes. So her rate at that point [min/mi] is:
90/10 = 9 min/mi
Well, Randy is short of her intended rate
Answer:
The defendant claim is credible. It should be advised that the defendant can pursue his claim of racial bias in jury
Step-by-step explanation:
Since the county comprises of 50% African-American and 50% Caucasian. If a jury of 8 members are to be selected from the county's people,
The probability of selection of 4 African-American is 4/8(50%) = 1/2
The probability of selection of 4 Caucasian is 4/8(50%) = 1/2.
This above is a binomial probability distributions. It is a probability of two possible outcomes, summing up to equals 1.
Selection of 2 African-American and 6 Caucasian in 8 jury members actually show a racial bias. It does not reflect 50% each proportion and probability.
Probability of African-American Jury selection is 2/8(1/4)
Probability of Caucasian Jury selection is 6/8(3/4)
For this case we have the following system of equations:
Equating the equations we have:
To find the solutions we factor the equation. To do this, we look for two numbers that, when multiplied, result in -3 and when added, result in -2.
These numbers are: -3 and +1
Thus, the factored equation is:
Then, the solutions for the variable "x" are:
We find the solutions for the variable "y":
Thus, the solutions are:
ANswer:
Answer:
Here
Step-by-step explanation:
Let's solve your equation step-by-step.
8−6(x−4)=2x−2(4x−5)+22
Step 1: Simplify both sides of the equation.
8−6(x−4)=2x−2(4x−5)+22
8+(−6)(x)+(−6)(−4)=2x+(−2)(4x)+(−2)(−5)+22(Distribute)
8+−6x+24=2x+−8x+10+22
(−6x)+(8+24)=(2x+−8x)+(10+22)(Combine Like Terms)
−6x+32=−6x+32
−6x+32=−6x+32
Step 2: Add 6x to both sides.
−6x+32+6x=−6x+32+6x
32=32
Step 3: Subtract 32 from both sides.
32−32=32−32
0=0
No they are not equivalent
