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Olenka [21]
3 years ago
14

Sabrina is ordering a custom circular glass table for her dining room the tables are ordered based on the area of the table top

and the diameter of every tabletop does a whole number she wants a table with enough room for at least 6 people and wants each person to have at least 5 feet of table Edge space so that it's not too crowded the minimum table diameter Sabrina should order is how many feet
Mathematics
1 answer:
geniusboy [140]3 years ago
7 0
The circumference would be 30 ft, which comes from 6 people have 5ft of space each.  6 x 5 = 30.  Which means the diameter is 9.55414013; Circumference divided by pi is the diameter.  Once you divide the diameter by 2 for the radius, you get 4.777 which can be used to find the area of the table top.  Area is pi x radius x radius = 3.14 x 4.777 x 4.777 =71.654 ft^2
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The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab
erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is  0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a  standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine  the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that  ;

S \sim N ( 1200,60)

the probability that the sample mean will be larger than 1224 will now be:

P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })

P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })

P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })

P(\overline X > 1224) = P(Z > 2.4 })

P(\overline X > 1224) =1 -  P(Z \leq 2.4 })

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 -  0.9918

P(\overline X > 1224) = 0.0082

Hence;  the probability that the sample mean will be larger than 1224 is  0.0082

4 0
4 years ago
Help me I need to know this answer tomorrow I am having a exam for maths
kati45 [8]

Answer:

49756

Step-by-step explanation:

you subtract 53207-3451 and you'll get 49756 there's your answer

8 0
3 years ago
1.<br> Slope = (7,-1) and 12,-2)
Evgen [1.6K]

Answer: -1/5

Step-by-step explanation:

the equation to solve slope with two points is the y coordinate in the second point minus the y coordinate in the first point over the x coordinate in the second point minus the x coordinate in the first point so this one would be

(-2 - -1)/(12-7)

On the top you subtract a negative it becomes a positive and you get -1/5

6 0
3 years ago
Consider the isosceles triangle below where the side lengths are given in cm:
DiKsa [7]

Answer:

I think is B

because its the one that sounds good

7 0
3 years ago
Jason had $414 in his savings account. He deposited $125 last week, and then he withdrew $88 from the account this week to buy n
ExtremeBDS [4]

Answer:

B) 451

Step-by-step explanation:

1) 414 + 125 = 539

2) 539 - 88 = 451

4 0
4 years ago
Read 2 more answers
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