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SSSSS [86.1K]
2 years ago
14

An angle is formed by the union of two rays lines line segments planes

Mathematics
1 answer:
Artyom0805 [142]2 years ago
4 0

Answer:

An angle is formed by the union of two Rays.

Step-by-step explanation:

google hope this helps

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
aliina [53]

Answer:

a.  X~N(2,885, 651)

b.  0.086291

c.  0.00058

d.  3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting  the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

#substitute the given values in the formula to solve for P:

P(X

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0
3 years ago
How can you write the equation for a linear function if you know only two ordered pairs for the function?
Veronika [31]

Step-by-step explanation:

m

one set of ordered pair

b

6 0
2 years ago
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Rhonda took $20 with her to spend on popcorn and candy for herself and her friends at the movie theater. The price for each bag
MrRa [10]

The linear equation that represents the scenario is 5x + 2.5y = 20

<h3>How to determine the equation?</h3>

The given parameters are:

  • Popcorn = $5 per bag
  • Candy = $2.5 per bag i.e. half the price of pop corn

Let x represents popcorn and y represents candy.

So, we have:

5x + 2.5y = 20

The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy

See attachment for the graph

Read more about linear functions at:

brainly.com/question/4025726

#SPJ1

5 0
2 years ago
What is the quotient of the following division problem?
Whitepunk [10]

Answer:

D. 10r7

Explaination:

9 goes into 97 10 times, and has a remainder of 7

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3 years ago
The slope of (-4, 7), (-6,-4)
MrMuchimi

Answer:

5.5

Step-by-step explanation:

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