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jenyasd209 [6]
3 years ago
9

Estimate the cercumfrence of the circle with the given raduisor diameter. Use 3.14 for "pie". Round to the nearest unit.

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0
Circumference of a circle is pi x diameter (full length of the circle)

you have the radius which is half, so youd need to double it go geth the diameter.

24x2=48

and then 3.14x48=150.72
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Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults. The number of adult tickets sold was 195 more than the n
Maurinko [17]

Answer: number of tickets sold to adult = 566

Step-by-step explanation:

Let x = number of tickets sold by DCHS to students.

Let y = number of tickets sold DCHS to adults.

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.

This means cost of total tickets sold to students and adults is $3x and $5y respectively.

If DCHS collected $3943 for the tickets, then we have

3x + 5y = 3943 - - - - - -1

The number of adult tickets sold was 195 more than the number of student tickets. This means

y = x +195.

Put y = x +195 in equation 1

3x + 5(x+195) = 3943

3x + 5x + 975= 3943

8x +975=3943

8x = 3943-975= 2968

x = 2968/8 = 371

y = 371 + 195= 566

4 0
3 years ago
PLEASE HELP ME :(<br> God bless.
Dmitriy789 [7]

Answer:

x - 99 ≤ -104 → 2nd line

x - 51 ≤ -43 → 1st line

150 + x ≤ 144 → 4th line

75 < 69 - x → 3rd line

Step-by-step explanation:

Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).

x - 99 ≤ -104

 + 99   + 99

x ≤ -5

There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.

x - 51 ≤ -43

 + 51   + 51

x ≤ 8

There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.

I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.

3 0
3 years ago
At 5:00pm the temperature read 10° above zero. At midnight it read 4 ° below zero. Find the change
larisa86 [58]
The temperature changed a total of 14° over the course of 7 hours with an average change of 2° per hour drop.
6 0
3 years ago
I need help on B and C. Not sure how I can solve those. Can someone please help me out here? Thank you for your help!
Valentin [98]

Nice job with part A on getting those correct answers.

====================================================

Part B

  • mu = mean = 43
  • sigma = standard deviation = 3

Let's calculate the z score for the raw score x = 37

z = (x - mu)/sigma

z = (37 - 43)/3

z = -6/3

z = -2

A negative z score tells us we're below the mean. Specifically, we are exactly 2 standard deviations under the mean.

If you repeat those steps for x = 46 (not changing mu or sigma), then you should get z = 1. So we're now 1 standard deviation above the mean.

Ultimately, we want to know the area under the standard normal curve (aka z curve) from z = -2 to z = 1.

Refer to the chart below which is a breakdown of the Empirical Rule. The pink areas are within 1 standard deviation of the mean. We have two regions taking up roughly 34% of the full area under the curve, so they combine to 34+34 = 68%

Then we add on another 13.5% which is the blue area on the left (between z = -2 and z = -1)

So 13.5+68 = 81.5% of the area under the curve is between z = -2 and z = 1.

<h3>Answer: 81.5</h3>

Note: the percent sign is already taken care of for us, so there's no need to type it in. But the answer above of course means 81.5% and that answer is approximate.

====================================================

Part C

Let's find the z score for x = 34. The values of mu and sigma are the same as before.

z = (x - mu)/sigma

z = (34-43)/3

z = -9/3

z = -3

So computing P(X > 34) is the same as P(Z > -3)

Notice how adding up all of the values in the chart mentioned gets us:

2.35+13.5+34+34+13.5+2.35 = 99.7

which means 99.7% of the distribution is within 3 standard deviations of the mean. The remaining 100% - 99.7% = 0.3% is the combined area of both tails. So each tail is (0.3%)/2 = 0.15%

In short, 0.15% of the area under the curve is to the left of z = -3

Therefore, 100% - 0.15% = 99.85% of the widgets are going to have z values larger than -3, which in turn means they have values larger than 34.

<h3>Answer: 99.85</h3>

Again you don't have to worry about the percent sign. Like before, the answer is approximate.

5 0
3 years ago
The slide at the playground has a height of 5 feet.
LenaWriter [7]

Answer:

Assuming the slide is straight - 12 feet

Step-by-step explanation:

Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.

We know that:

x^2 + 5^2 = 13^2\\x^2 + 25 = 169\\x^2 = 144\\x = 12 \vee x = -12\textrm{; but -12 doesn't make sense}

6 0
2 years ago
Read 2 more answers
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