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liberstina [14]
2 years ago
13

The points (-6, 5) and (r, 20) lie on a line with slope 5/4 Find the missing coordinate r.

Mathematics
1 answer:
mixas84 [53]2 years ago
8 0
R = 6
(WORK SHOWN BELOW)

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Charles is 20% heavier than Edith. If Charles weighs 60kg, what is Edith's weight?​
ddd [48]

Charles' weight = Edith's weight + 20% of Edith's weight

We'll use a variable to represent Edith's weight, x.

The decimal form of 20% is 0.2.

60 = x + 0.2x

60 = 1.2x

x = 50

Edith's weight is 50kg.

Hope this helps!

4 0
1 year 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
2 years ago
Determine if the expression x2 + 1 is a
borishaifa [10]

Answer:

Yes it is,

Step-by-step explanation:

Degree 1 (Exp 1) and it has 2 elements (2X and 1)

7 0
2 years ago
A water polo team threw a pizza party after winning the championship. They needed enough pizza for 72 people. Each pizza serves
Taya2010 [7]

Answer: 204 dollars in total

Step-by-step explanation: There are 72 people, and each serving serves six people. 72 divided by 6 =12.

12x17 equals $204

Hope this helped!

7 0
2 years ago
Which mixed number is equal to 27/6? 2 7/6 3 4/6 4 3/6 6 2/7
vredina [299]

Answer:

Expressed as a mixed number in its simplest form, 27/4 is equal

to 6 3/4 or six and three quarters.

Step-by-step explanation:

8 0
2 years ago
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