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2 years ago

If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.

Mathematics

1 answer:

Rainbow [258]2 years ago

3 0

Answer:

$57.51

Step-by-step explanation:

If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.

The formula for the original price =

= Sales price/1 - Percentage discount

Percentage discount = 35% = 0.35

Original price = $37.38/1 - 0.35

= $37.38/0.65

= $57.507692308

Approximately = $57.51

Therefore, the original price H= $57.51

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a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive

Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let X = number of students arriving at the 10:30 AM time slot.

The average number of students arriving at the 10:30 AM time slot is, λ = 3.

A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable X is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable X follows a Poisson distribution with parameter λ = 3.

The probability mass function of X is given by:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0$

Compute the probability of X = 2 as follows:

$P(X=2)=\frac{e^{-3}3^{2}}{2!}=\frac{0.0498\times 9}{2}=0.2241$

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

6 0

3 years ago

Read 2 more answers

A line has gradient 5.

MAVERICK [17]

Answer:

x = k - 3

Step-by-step explanation:

Given parameters:

Gradient of the line = 5;

Coordinates; M(x, 8)

N(k, 23)

Solution:

If we use the expression for finding the slope of the line, we can solve this problem;

Slope = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

where

x₁ = x y₁ = 8

x₂ = k y₂ = 23

Input the parameters:

5 = $\frac{23 - 8}{k -x }$

15 = 5(k - x)

3= k- x

k - x = 3

Express x in terms of k;

-x = 3 - k

Multiply through by -1;

x = -3 + k

x = k - 3

7 0

2 years ago

A bag contains white marbles and green marbles, 52 in total. The number of white marbles is 3 less than 4 times the number of gr

valentina_108 [34]

Answer:

Step-by-step explanation:

w + g = 52

w = 4g - 3

(4g - 3) + g = 52

5g - 3 = 52

5g = 52 + 3

5g = 55

g = 55/5

g = 11....there are 11 green marbles

w + g = 52

w + 11 = 52

w = 52 - 11

w = 41 <=== there are 41 white marbles

8 0

2 years ago

Read 2 more answers

Plz A total of 41 and 1/3 tons of gravel was split between four dump trucks. How many tons of gravel did each truck hold?

12345 [234]

10 1/3.
EXPLANATION
41 1/3 tons divided by 4 trucks = 10 1/3 tons per truck.
HOPE THIS HELPED HAVE A GUD DAY!

5 0

2 years ago

you and two friends pay $40 for tickets. the cost was divided three ways in the ratio 1:3:6. how much did each person pay9

Musya8 [376]

1+3+6=10
40=10 units
diidde by 10
4=1unit

4 times 1=4
4 times 3=12
4 times 6=24

they paid $4, $12 and $24

5 0

2 years ago