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2 years ago

Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per

Mathematics

2 answers:

NARA [144]2 years ago

8 0

Answer:

Luke : 7 hours

Joshua : 4 hours

Step-by-step explanation:

Since you don't know how many hours both of them worked, you can use any variables, but I'm comfortable with x for houts. So as of right now, you have 35x +25x = 345. However, because we know Luke worked 3 more hours than Joshua, you can change 35x into 35(x+3). So, your equation should look like this: 35(x+3) +25x = 345. Finally, you can solve it. Distribute 35 into x + 3 to get 35x +105 +25x = 345. Combine like terms, and add 35x with 25x to get 60x. Now, you have 60x + 105 = 345. Subtract 105 from 345 to get 240. Divide 60 by 240 to get the x by itself, and you have the equation x=4. That means Joshua worked 4 hours and Luke worked 7, because he worked 3 more. You can also check just in case by filling in the variable with 4 from our original equation. 35(4+3) + 25(4) = 345. 245+100=345. 345=345, so it is correct! Sorry for the lengthy answer.

aniked [119]2 years ago

5 0

Answer:

Step-by-step explanation:

Let x be the number of hours worked by Joshua.

Shirts ironed by Joshua in an hour = 25

Number of shirts ironed by Joshua in x hours = 25x

The number of hours worked by Luke = (x + 3)hours

Shirts ironed by Luke in an hour = 35

No. of shirts ironed by Luke in x hours = 35*(x + 3) = 35x+35*3 = 35x + 105

No. of shirts ironed by Luke and Joshua = 345

25x + 35x +105 = 345

60x = 345 - 105

60x = 240

x = 240/60

x = 4 hours

The number of hours worked by Joshua = 4 hours

The number of hours worked by Luke = 4 +3 = 7 hours

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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.

So, X ~ Poisson( $\lambda$ = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

P(X = 8) = $\frac{e^{-18} \times 18^{8} }{8!}$

= 0.00416

3 0

2 years ago

Bill has 4 letter blocks: A, B, C and D. In how many different ways can Bill arrange the blocks in a row? 6, 12, 18 or 24?

stiv31 [10]

24 ways in which the blocks can be arranged

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2 years ago

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We can calculate EE, the amount of euros that has the same value as DD U.S. dollars, using the equation E=\dfrac{17}{20}DE=

Rudik [331]

Answer:

We are given eqaution: e=\frac{17}{20}d , where e the amount of euros and d is the value as U.S. Dollars.

We need to find number of euros for 1 U.S. Dollar.

Plugging d=1 in the given equation

We get

e=\frac{17}{20}(1)

On simplfying , we get

e=\frac{17}{20}

Dividing 17 by 20, we get 0.85.

Therefore, there would be 0.85 euro have the same value as 1 U.S. Dollar.

Read more on Brainly.com - brainly.com/question/11243826#readmore

Step-by-step explanation:

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2 years ago

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Bob and Nina make dog leashes . Bob can make 7 leashes in 2 hours and nina can make 4 leashes in 1 hour enter an equation that c

Valentin [98]

Answer:

Number of leashes Bob can make in 2 hours = 7

Number of leashes Bob can make in 1 hour = 7÷2 = 3.5

Let, Bob takes total x hours.

Number of leashes Nina can make in 1 hour = 4

Let, Nina takes total x hours.

∴ The equation that can be used to find the number of hours it takes bob and Nina to make 60 leashes is given by-

3.5x+4x = 60.

7.5x = 60

This equation can be used to find the number of hours taken by Bob and Nina by putting different values of x and y which satisfies above equation.

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A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that on

Flura [38]

Answer:

28/55

Step-by-step explanation:

The probability of taking a red bead first and a white bead second is:

P(red, white) = (7/11) (4/10)

P(red, white) = 14/55

The probability of taking a white bead first and a red bead second is:

P(white, red) = (4/11) (7/10)

P(white, red) = 14/55

So the probability that one bead of each color is taken is:

P = P(red, white) or P(white, red)

P = 14/55 + 14/55

P = 28/55

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2 years ago

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