I need help with this

Whats 3480+ 92719384

nikitadnepr [17]

92722864

Hope this helps ya

3 0

4 years ago

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this

BigorU [14]

Answer:

a. 0.4129 = 41.29% of the bank's Visa cardholders pay more than 29 dollars in interest.

b. 0.1867 = 18.67% of the bank's Visa cardholders pay more than 35 dollars in interest.

c. 0.0742 = 7.42% of the bank's Visa cardholders pay less than 14 dollars in interest.

d. An interest payment of $35.2 is exceeded by only 18% of the bank's Visa cardholders.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 27 dollars and a standard deviation of 9 dollars.

This means that $\mu = 27, \sigma = 9$

A. What proportion of the bank's Visa cardholders pay more than 29 dollars in interest?

This is 1 subtracted by the p-value of Z when X = 29, so:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{29 - 27}{9}$

$Z = 0.22$

$Z = 0.22$ has a p-value of 0.5871.

1 - 0.5871 = 0.4129

0.4129 = 41.29% of the bank's Visa cardholders pay more than 29 dollars in interest.

B. What proportion of the bank's Visa cardholders pay more than 35 dollars in interest?

This is 1 subtracted by the p-value of Z when X = 35, so:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{35 - 27}{9}$

$Z = 0.89$

$Z = 0.89$ has a p-value of 0.8133.

1 - 0.8133 = 0.1867

0.1867 = 18.67% of the bank's Visa cardholders pay more than 35 dollars in interest.

C. What proportion of the bank's Visa cardholders pay less than 14 dollars in interest?

This is the p-value of Z when X = 14. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{14 - 27}{9}$

$Z = -1.445$

$Z = -1.445$ has a p-value of 0.0742.

0.0742 = 7.42% of the bank's Visa cardholders pay less than 14 dollars in interest.

D. What interest payment is exceeded by only 18% of the bank's Visa cardholders?

This is the 100 - 18 = 82nd percentile, which is X when Z has a p-value of 0.82, so X when Z = 0.915.

$Z = \frac{X - \mu}{\sigma}$

$0.915 = \frac{X - 27}{9}$

$X - 27 = 0.915*9$

$X = 35.2$

An interest payment of $35.2 is exceeded by only 18% of the bank's Visa cardholders.

7 0

3 years ago

The area of a rectangle is 7235. if the length and the width are proportiante by 5:3 then what is the length and the width

ycow [4]

7235 ÷ 8 = <span>904.375

</span>904.375 × 5 = 4521.875
904.375 × 3 = 2713.125

Length: 4521.875
Width: 2713.125

5 0

4 years ago

5.

Olenka [21]

Answer: 1.2

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

6

5

= 1.2

θ =

arctan( ΔY )

ΔX

= 50.194428907735°

ΔX = 4 – -1 = 5

ΔY = 1 – -5 = 6

Distance (d) = √ΔX2 + ΔY2 = √61 = 7.8102496759067

Equation of the line:

y = 1.2x – 3.8

or

y =

6 x

5

– 19

5

When x=0, y = -3.8

When y=0, x = 3.1666666666667

5 0

4 years ago

What is the prime factorization of 2500 in exponents??

Vedmedyk [2.9K]

2500|2
1250|2
0625|5
0125|5
0025|5
0005|5
0001

2500 = 2² x 5^4

5 0

4 years ago