Answers:
22.)D
23.)D
How?
Explaining number 22:
Well, let’s disprove each one of them.
A.) A is saying 6x=7. Even if we simplify that, it wouldn’t make any sense in what we are trying to do. That equation is equal to x=0.86(estimated to nearest tenth)
B.) B says that 6x=3. When we simplify this, we get x=0.5. That isn’t the number we want, so we know B isn’t right
C.) C is equivalent to 2x+2=6. Let’s simplify since it is multi-step.
2x+2=6
2x=6
x=3
Since we want x to be six, this wouldn’t be the answer either.
D.) D is saying 2x=12. When simplified, this becomes x=6. BINGO THERE IS OUR ANSWER
Explaining 23:
For this, I also used process of elimination.
Remember that x is equal to 2.5
A.)
x+3=5.5
2.5+3=5.5
5.5=5.5
That works.
B.)
2x=5
2(2.5)=5
5=5
That works.
C.)
2.5/2=1.25
1.25=1.25
That works
D.)
x-10=7.5
2.5-10=7.5
-7.5=7.5
THAT DOESNT WORK THERE IS OUR ANSWER
Answer:
CI = (70.861 , 94.418)
Step-by-step explanation:
In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):
(1)
: mean = 82.64
σ: standard deviation = 14.32
n: sample = 4
α: tail area = 1 - 0.9 = 0.1
Z_α/2 = Z_0.05: Z factor = 1.645
You replace these values and you obtain:

The confidence interval will be:

The 90% confidence interval is (70.861 , 94.418)
Answer:
$5809.17
$6149.01
$2211.72
Step-by-step explanation:
Continous interest formula:
(pv)e^(rt)
we have
5000e^(5*.03)= 5809.17
Same equation from before
2500e^(.09*10)= 6149.01
2000e^(.0575*(21/12))
(we write 21/12 because that's how many years has passed)
= 2211.72
Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.
The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:

2 players are taken from a set of 25, hence the number of ways is given by:
.
More can be learned about the permutation formula at brainly.com/question/25925367
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