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lianna [129]
3 years ago
7

The Melt in Your Mouth Chocolate Factory opens its doors each day at 7:00 am sharp. Sally arrived at the factory 10 minutes befo

re the doors opened. Luke got there 18 minutes after Sally, but 4 minutes before Michelle. At what time did Michelle arrive at the factory? 7:04 am
Mathematics
1 answer:
Kipish [7]3 years ago
6 0

Answer:

7:12

Step-by-step explanation:

Sally arrived at 6:50

Luke arrived 18 minutes later at 7:08.

Michelle arrived at 7:12, which indicates that Luke arrived 4 minutes earlier than she.

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According to a recent government report, the aging of the U.S. population is translating into many more visits to doctors' offic
olga_2 [115]

Answer:

0.2835 = 28.35% probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals

Step-by-step explanation:

Mean during a time period means that we use the Poisson distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

It is estimated that an average person makes four visits a year to doctors' offices and hospitals.

A year has 12 months, which means that the monthly mean is \mu = \frac{4}{12} = \frac{1}{3}

What is the probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-(\frac{1}{3})}*(\frac{1}{3})^{0}}{(0)!} = 0.7165

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7165 = 0.2835

0.2835 = 28.35% probability that an average person makes at least one MONTHLY visit to doctors' office and hospitals

6 0
3 years ago
What is the value of x? 3(2X-5)-4x=11
kupik [55]

Answer:

x = 13

Explanation:

3(2x−5)−4x=11

  • Step 1: Simplify both sides of the equation

3(2x−5)−4x=11

(3)(2x)+(3)(−5)+−4x=11 (Distribute)

6x+−15+−4x=11

(6x+−4x)+(−15)=11 (Combine Like Terms)

2x+−15=11

2x−15=11

  • Step 2: Add 15 to both sides

2x−15+15=11+15

2x=26

  • Step 3: Divide both sides by 2

2x / 2 = 26 / 2

x = 13

3 0
3 years ago
Read 2 more answers
If two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are _________.
Andreas93 [3]
Then they are supplementary angles which mean both of those angles add up to 180°
5 0
4 years ago
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant proportionality that relates the number of cookies
expeople1 [14]

Answer  k=16

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

6 0
3 years ago
Select the correct answer from the drop-down menu.
Kipish [7]

Answer:

40.2

Step-by-step explanation:

law of cosines

x^2=40^2+28^2-2*28*40*cos(70)

put in calculator and square root the answer

40.222.... is approximately 40.2

5 0
3 years ago
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