Answer:
34.134%
68.268%
Step-by-step explanation:
Given that:
Mean (m) = 500
Standard deviation (s) = 100
Percentage between 500 and 600
P(500 < x < 600)
P(x < 600) - P(x < 500)
Z = (x - m) / s
P(x < 600)
Z = (600 - 500) /100 = 1
P(x < 500)
Z = (500 - 500) / 500 = 0
P(Z< 1) - P(Z < 0)
0.84134 - 0.5
= 0.34134
= 0.34134 * 100%
= 34.134%
B.) Between 400 and 600
P(x < 400)
Z = (400 - 500) /100 = - 1
P(x < 600)
Z = (600 - 500) / 500 = 1
P(Z< 1 ) - P(Z < - 1)
0.84134 - 0.15866
= 0.68268
= 0.68268 * 100%
= 68.268%
Answer: Mary makes $1160, Steven makes $142.50
Step-by-step explanation:
Facts
MARY
8% commision on everything she sells
She sells a car for $14,500
The first question about Mary asks how much commision she makes. To find that, lets find 8% of 14,500
8% of 14,500= 0.08x14,500= 1160
Therefore, Mary makes $1,160 in commision.
STEVEN
Facts
He makes 15% in commision for the supplies he sells
He sells $950 in supplies
Money made =?
15% of 950=0.15x950=$142.50
Answer:
Cost of per session the average rate is $45.
Step-by-step explanation:
It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.
It is required to find what is the cost per session.
Step 1 of 1
It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.
To find the cost of per session calculate the average rate.
Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.
Now substitute, $125 for 
, 260 for 
for 
and 5 for 
then,
Cost of per session the average rate is $45.
If u mean 4^4 or four to the fourth power then it’s 256
Answer:
3 3/18
Step-by-step explanation:
5 3/6-2 1/3
We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:
33/6-7/3
Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:
33/6-14/6
Now we can subtract the numerators.
19/6
To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.
HTH :)
