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UNO [17]
3 years ago
10

What's (8,-2) (r,-6), m =-4

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

m is simply the slope of the line. The equation for m or slope is given as:

m = (y2 – y1) / (x2 – x1)

 

Therefore we can find for r by substituting the values:

- 4 = (-6 – (-2)) / (r – 8)

- 4 = - 4 / (r – 8)

r – 8 = 1

r = 9

 

So:

<span>(r, -6) = (9, -6)</span>

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Fred's sporting goods is providing a $5 discount on a bicycle that costs $80. What is the percentage of the discount?
Sonja [21]

Answer:

6.25%

Step-by-step explanation:

discount/ normal price

5/80

And we are trying to find out the percentage, so

x/100

Set the 2 equations equal to each other

5/80=x/100

Cross multiply

80x=500

Divide by 80 on both sides

x= 6.25

8 0
3 years ago
What is the cost of a typewriter that is 18% off the list price of $375 with a sales tax of 5% that must be paid
julsineya [31]

Answer:

The cost is $322.88.

Step-by-step explanation:

18% off the list price of $375

Before the sales tax, you pay 100% - 18% = 82% = 0.82 of 375, so:

0.82*375 = 307.5

5% sales tax:

100% + 5% = 105% = 1.05 of 307.5. So

307.5*1.05 = 322.88

The cost is $322.88.

8 0
2 years ago
Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet
Mumz [18]

Answer:

296.693\leq x\leq 319.307

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }

Where x' is the sample mean, s is the population standard deviation, n is the sample size and z_{\alpha /2} is the z-score that let a proportion of \alpha /2 on the right tail.

\alpha is calculated as: 100%-99%=1%

So, z_{\alpha/2}=z_{0.005}=2.576

Finally, replacing the values of x' by 308, s by 17, n by 15 and z_{\alpha /2} by 2.576, we get that the confidence interval is:

308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307

6 0
3 years ago
Direction: Arrange the following numbers in decreasing order. Write your answer on the blank provided below each number.
rjkz [21]

Answer:

1. 100 000, 89 000, 67 000, 55 000

2. 45 678, 34 567, 23 456, 12 345

3. 98 765, 87 654, 76 543, 65 432-

7 0
3 years ago
Use distributive property. 4 x 63 = ??
aleksandrvk [35]

Answer:

(4) * (63)

252

(* ̄3 ̄)╭

4 0
3 years ago
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