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agasfer [191]
3 years ago
10

Some seventh-grade students at Michaelson Middle School were surveyed to find the amount of time they spent doing homework over

the past two nights. What is the mean amount of time spent on homework per student?
Amount of Time Spent Number of
on Homework(Hours) Students
2 4
3 5
4 6
5 3
6 3
7 0
8 1
Mathematics
1 answer:
stellarik [79]3 years ago
5 0
The word mean is a synonym for average. To find the average, you add all of the data, then divide by the amount of data received.

So, we add 2+4+3+5+4+6+5+3+6+3+7+0+8+1. That totals to 57. Then, we divide by 14 because there are 14 answers. The end result is 4.07, because we round up.
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Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69
anastassius [24]

Answer:

(a) 7.6%

(b) 46.2%    42.4%

Step-by-step explanation:

(a)According to the definition of Continuous probability distribution

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}

f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}

⇒ 0.19 × 0.4 = F(69.2) - F(68.8)

⇒ F(69.2) - F(68.8) = 0.076

⇒ 7.6%

(b) Given F(69) = 0.5

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}

f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}

⇒ 0.19 × 0.2 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.038 = 0.462

⇒ 46.2%

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}

f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

5 0
3 years ago
X²+y²-6x+14y-1=0<br> and please show your work so I can learn
Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

x^2 + y^2 -6x+14y-1=0

We need to use the Quadratic Formula*

x =\frac{-b+\sqrt{b^2}-4ac }{2a} , \frac{-b-\sqrt{b^2} -4ac }{2a}

Thus, given the problem:

a = 1, b=-6, c=y^2+14y-1

So now we just need to plug them in the Quadratic Formula*

x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2} , x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}

As you can see, it is a mess right now. Therefore, we need to simplify it

x=\frac{6+2\sqrt{10-y^2-14y} }{2}, x = \frac{6-2\sqrt{10-y^2-14y} }{2}

Now that's get us to the final solution:

x=3+\sqrt{10-y^2-14y}, x=3-\sqrt{10-y^2-14y}

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

3 0
2 years ago
Use the words "ten times" to compare the number of children who have a dog 36,580 with the number of children who have a rabbit
ElenaW [278]
The number of children who have dogs is ten times more than the number of children who have a rabbit.
8 0
3 years ago
Read 2 more answers
Jacob has some brochures made for his lawn-mowing and dog-walking business. He received and distributed 75 of the lawn mowing br
serg [7]

ANSWER:

6 cents

Step-by-step explanation:

$60.00 divided by 100 = 0.6

7 0
2 years ago
Question 1
astra-53 [7]

Answer: 1

Step-by-step explanation:

4 0
3 years ago
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