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rodikova [14]
3 years ago
9

Are the graphs of the lines in the pair parallel? Explain.

Mathematics
1 answer:
jonny [76]3 years ago
7 0
You need to convert the second equation to slope/intercept form. The first equation is in that form already. Then you can compare  slopes.

-6x + 8y = 14
8y = 6x + 14
y = (3/4)x + 14/8

SO THE SLOPE IS 3/4 which is the same as slope of equation 1

Therfore they are parallel.
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11(k-1) 7(k-y) help fast ASAP IM STUCK PLESEE ALSO NEED TO SHOW WORK
gayaneshka [121]

Answer:

y=-\frac{4k-11}{7}

k=-\frac{7y}{4}+\frac{11}{4}

7 0
3 years ago
Solve for x.
solmaris [256]

Answer:

x =-\frac{4}{5}

Step-by-step explanation:

x-\frac{1}{12} =-\frac{7}{20} \\\\   +\frac{1}{12}  +\frac{1}{12} \\\\x =-\frac{4}{5}

Hope this helps!

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2 years ago
Panel of judges was asked to judge the quality of different kinds of potato chips. The scatterplot and regression line below sho
nika2105 [10]

Answer:

D

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6 0
3 years ago
Use the given information to find amount A in the account earning compound interest after six years when the principal is 3,500
stealth61 [152]
A=p(1+i/m)^mn
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4 0
3 years ago
If we sample from a small finite population without​ replacement, the binomial distribution should not be used because the event
seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans  so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}

Now compute each combination separately:

\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700

and now replace the values:

\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0
3 years ago
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