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Tanzania [10]
2 years ago
5

Determine the slope of a parallel to the folling line 9x + 7y = 10

Mathematics
1 answer:
asambeis [7]2 years ago
7 0

Recall that the slope formula is y=mx+b (m is the slope)

You need to first get y by itself, to do that you subtract 9x on both sides of the equation

9x+7y=10         subtract 9x to the left side where it will cancel it because you're adding a positive to a negative number that are the same, then you subtract 9x to the right side of the equation

when you do that you should get: 7y= -9x+10

Now you divide 7 on both sides

you then should get: y= -9/7x-10/7


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Question 1-3
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8 0
2 years ago
The table shows the results of a poll of 200 randomly selected juniors and seniors who were asked if they attended prom. Find th
Zielflug [23.3K]

Answer:

(a)\frac{7}{25}

(b)\frac{19}{116}

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Step-by-step explanation:

Number of juniors who attended prom,n(J)=28

Number of seniors who attended prom,n(S)=97

  • Total of those who attended prom=125

Number of juniors who did not attend prom,n(J')=56

Number of seniors who did not attend prom,n(S')=19

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(a) P (a junior who did not attend prom)

P(J')=\frac{56}{200}= \frac{7}{25}

(b)

P(Senior)=\frac{116}{200}

P ($did not attend prom$ | senior)=\frac{\text{P(seniors who did not attend prom)}}{P(Senior)} \\=\frac{19/200}{116/200} \\=\frac{19}{116}

(c)P (junior | attended prom)

P(Senior)=\frac{84}{200}

P (Junior|$ attended prom$)=\frac{\text{P(juniors who attended prom)}}{P(\text{those who attended prom)}} \\=\frac{28/200}{125/200} \\=\frac{28}{125}

3 0
2 years ago
Read 2 more answers
A number increases by 10%, and then decreases by 10%. Will the result be greater than, less than, or equal to the original numbe
elena-s [515]
Given that the number is x,
10% increase will give us a new number of:
110/100*x
=1.1x
10% decrease will give us a new number of:
90/100*1.1x
=0.99x
This implies the new number is less than the original number 
3 0
3 years ago
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