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Mice21 [21]
3 years ago
8

Help please. A) 60 B)120 C)140

Mathematics
1 answer:
kvasek [131]3 years ago
8 0
Hi there,

The answer to your question is:

B. 120

Hope this helped,

Sincerely,

Dus4nR
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6. A bank auditor claims that credit card balances are normally distributed, with a mean of $3570
sergejj [24]

Answer:

Probability that their mean credit card  balance is less than $2500 is 0.0073.

Step-by-step explanation:

We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570  and a standard deviation of $980.

You randomly select 5 credit card holders.

Let<em> </em>\bar X<em> = </em><u><em>sample mean credit card balance</em></u>

The z score probability distribution for sample mean is given by;

                                Z =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean credit card balance = $3570

            \sigma = standard deviation = $980

            n = sample of credit card holders = 5

Now, the probability that their mean credit card  balance is less than $2500 is given by = P(\bar X<em> </em>< $2500)

    P(\bar X<em> </em>< $2500) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2500-3570}{\frac{980}{\sqrt{5} } } ) = P(Z < -2.44) = 1 - P(Z \leq 2.44)

                                                               = 1 - 0.9927 = 0.0073

The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.

Therefore, probability that their mean credit card  balance is less than $2500 is 0.0073.

4 0
3 years ago
Steve washed 15 cars in 3 hours.how many cars can he wash in 7 hours?
DanielleElmas [232]
35 Cars because, if you times 3 by 5 it equals 15 which means that 1 hour equals 5 cars. So you times 7 by 5 and that will give you the amount of cars that were washed.
3 0
3 years ago
High school math help please (20 points for 3 problems, but if you could even answer 2 that would help. Please explain how you g
ipn [44]

Answer:

To question 1: van=9, bus=60

To question 2: Sorry, I don't know the answer.

To question 3: skate rental fee=$2.50, admission fee=$3.25

Step-by-step explanation:

Question 1:

Step 1 - set up equations

14v+16b=1,086

10b+13n=870

Step 2 - Solve for variable (in this case v)

10v+13b=870

Subtract 13b from both sides

10v=-13b+870

Divide both sides by 10

V=-1.3b+87

Step 3 - substitute the v in equation and solve

14 (-1.3b+87)+16b=1,086

-18.2b+1,218+16b=1,086

Combine like-terms

-2.2b+1,218=1,087

Subtract 1,218 from both sides

-2.2b=-132

Divide both sides by -2.2

B=60

Step 4 - substitute for b and solve

10v+13(60)=870

10v+780=870

Subtract 780 from both sides

10v=90

Divide both sides by 10

V=9

Question 3:

Step 1 - set up equations

5s+6f=32

5s+7f=35.25

Step 2 - solve for variable (in this case s)

5s+6f=32

Subtract 6f from both sides

5s=-6f+32

Divide both sides by 5

S=-1.2f+6.4

Step 3 - substitute for s and solve

5(-1.2f+6.4)+7f=35.25

-6f+32+7f=35.25

Combine like-terms

F+32=35.25

Subtract 32 from both sides

F=3.25

Step 4 - substitute for f

5s+6(3.25)=32

5s+19.5=32

Subtract 19.5 from both sides

5s=12.5

Divide both sides by 5

S=2.5

4 0
2 years ago
A triangle has side measures of 8, 13, 15. Are these the measures of a RIGHT Triangle?
Andreas93 [3]

Answer:

No.

Step-by-step explanation:

Since we know the side lengths of the triangle, we can figure out whether or not this is a Pythagorean triple.

Pythagorean theorem: a^2 + b^2 = c^2

a and b are both smaller than c.

So,

8^2 = 64.

13^2 = 169.

15^2 = 225.

64 + 169 = 233.

233 is not equal to 225.

Therefore, this is not a right triangle.

6 0
3 years ago
HELP HELP HELP HELP FIND THE VALUE OF X
aalyn [17]

Answer:

x=9

Step-by-step explanation:

The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.

90+5x+5x=180

add the x values together

90+10x=180

subtract 90 from both sides

10x=90

divide both sides by 10

x=9

8 0
3 years ago
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