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blagie [28]
3 years ago
6

The mean value of land and buildings per acre from a sample of farms is ​$1500​, with a standard deviation of ​$200. the data se

t has a​ bell-shaped distribution. assume the number of farms in the sample is 72. ​(a) use the empirical rule to estimate the number of farms whose land and building values per acre are between ​$1300 and ​$1700. nothing farms ​(round to the nearest whole number as​ needed.) ​(b) if 22 additional farms were​ sampled, about how many of these additional farms would you expect to have land and building values between ​$1300 per acre and ​$1700 per​ acre? nothing farms out of 22 ​(round to the nearest whole number as​ needed.)
Mathematics
1 answer:
MArishka [77]3 years ago
6 0
I need help! someone answer this problem asap
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A boat that can travel 18 mph in still water can travel 21 miles downstream in the same amount of time that it can travel 15 mil
svlad2 [7]

Hey there! I'm happy to help!

We see that if the river isn't moving at all the boat can move at 18 mph (most likely because it has an engine propelling it.)

We want to set up a proportion where our 21 miles downstream time is equal to our 15 miles upstream time so we can find the speed. A proportion is basically showing that two ratios are equal. Since our downstream distance and upstream distance can be done in the same amount of time, we will write it as a proportion.

We want to find the speed of the river. We will use r to represent the speed of the river. When going downstream, the boat will go faster, so it will have a higher mph. So, our speed going down is 18+r. When you are going upstream, it's the opposite, so it will be 18-r.

\frac{distance}{speed} =\frac{21}{18+r} = \frac{15}{18-r}

So, how do we figure out what r is now? Well, one nice thing to know about proportions is that the product of the items diagonal from each other equals the product of the other items. Basically, that means that 15(18+r) is equal to 21(18-r). This is a very nice trick to solve proportions quickly. We see that we have made an equation and now we can solve it!

15(18+r)=21(18-r)

We use the distributive property to undo the parentheses.

270+15r=378-21r

We subtract 270 from both sides.

15r=108-21

We add 21 to both sides.

36r=108

We divide both sides by 36.

r=3

Therefore, the speed of the river is 3 mph.

You also could have noticed that 18mph to 21 mph is +3, and 18mph to 15 mph -3 in -3 mph, so the speed of the river is 3 mph. That would have been a quicker way to solve it XD!

Have a wonderful day!

3 0
3 years ago
Which expression is not equal to 30?
MrMuchimi

Answer:

I believe the answer is number 3.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please answer ! :D 15 points
Umnica [9.8K]

Answer:

1 and 3

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.  "Vertical" refers to the vertex (where they cross), NOT up/down.

3 0
3 years ago
Read 2 more answers
What is the equation in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4?
Nimfa-mama [501]

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Step-by-step explanation:

Given

m=4

and

Point = (x1,y1) = (-1,-3)

The general form of point-slope equation of line is:

y-y_1=m(x-x_1)\\Putting the values of m, x_1 and y_1\\y-(-3)=4(x-(-1))\\y+3=4(x+1)

Hence,

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Keywords: Point-slope form, Slope

Learn more about equation of line at:

  • brainly.com/question/4361464
  • brainly.com/question/4390083

#LearnwithBrainly

5 0
3 years ago
Lisa drove 7,000 miles in 70 days. She drove the same number of miles each day.
inysia [295]

Answer: I'd assume its B 100 miles each day.

Step-by-step explanation:

Because 70 x 100 is 7,000 which is equal to the amount of miles stared in the question

5 0
3 years ago
Read 2 more answers
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