What's the answers to numbers 1-6 on this page? Please Help! Your help will be greatly appreciated!!

Mathematics

1 answer:

WINSTONCH [101]4 years ago

5 0

1) Jacket price : $64 ; discount : 20%

Original price * discount rate = discount value.
Original price - discount value = discounted price

64 * 20% = 12.80 discount
64 - 12.80 = 51.20 discounted price

2) TV : $1,200 ; discount : 10%

1,200 * 10% = 120 discount
1,200 - 120 = 1,080 discounted price

3) admission: $7.50 ; discount : 20% ; sales tax : 5.75%

7.50 * 20% = 1.50 discount
7.50 - 1.50 = 6.00 amount paid for admission
6.00 * 5.75% = 0.345 value of sales tax
6.00 + 0.345 = 6.345 total amount paid

4) makeup: $4.30 ; discount : 40% ; sales tax : 6%

4.30 * 40% = 1.72 discount
4.30 - 1.72 = 2.58 discounted price
2.58 * 6% = 0.1548 value of sales tax
2.58 + 0.1548 = 2.7348 total amount paid

5) discounted price: $2.25 ; discount : 50%

discounted price ÷ discount rate = original price
2.25 ÷ 50% = 4.50 original price

6) Sports City: Original price : $180 ; discount : 15%
Tennis World: Original price : $200 ; discount : 20%

Original price x (100% - discount rate) = Discounted price
180 * (100%-15%) = 180 * 85% = 153
200 * (100%-20%) = 200 * 80% = 160

Sports City offers a better deal. It is cheaper by $7 from the discount price of Tennis World.

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Read 2 more answers

General Hospital has noted that they admit an average of 9 patients per hour.

serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

The complete question is: General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

$P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......$

Here X = Number of patients admitted in the hospital

$\lambda$ = arrival rate of patients per hour = 9 patients

So, X ~ Poisson( $\lambda$ = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}$

= $e^{-9} +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}$

= 0.00623

(b) Here, $\lambda = 9 \times 2$ = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.