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bekas [8.4K]
3 years ago
6

What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)

Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer:

Step-by-step explanation:

If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula \frac{y_2-y_1}{x_2-x_1}. You can also graph the two points and use rise over run. \frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1

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At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa
11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 7 parts

            r = number of success = fewer than 2

           p = probability of success which in our question is % of defective

                 parts produced by one of the machine, i.e; 19%

<em>LET X = Number of parts that are defective</em>

<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

    P(X < 2) = P(X = 0) + P(X = 1)

                  =  \binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}

                  =  1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}

                  =  <u>0.604</u>

<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>

8 0
3 years ago
Is 1,2,3,4 a geometric sequence ?
Bad White [126]
No. It would be a arithmetic sequence
4 0
3 years ago
What is the most important physical feature in Afri ca?​
k0ka [10]
The plateau I believed
6 0
3 years ago
What is the surface area of the triangular prism?
SCORPION-xisa [38]

Answer:

300yd²

Step-by-step explanation:

Surface Area = area of triangles *2 + area of thhe 3 rectangles

SA= 2*( 9*4/2) + 5*12 + 8*12 + 9*12=  2*18 +5*12 + 8*12 + 9*12 =

36+60+96+108 = 300

3 0
3 years ago
Solve for x.<br> X -8 = -11<br><br> With step by step explanation or with ur work.
igor_vitrenko [27]

<em><u>To </u></em><em><u>find:</u></em>

<em><u>=</u></em><em><u>></u></em><em><u> </u></em><em><u>The</u></em><em><u> </u></em><em><u>value</u></em><em><u> of</u></em><em><u> </u></em><em><u>x</u></em>

<em><u>=</u></em><em><u>></u></em>

<em><u>x - 8 =  - 11</u></em>

<em><u>Now,</u></em><em><u> we'll</u></em><em><u> </u></em><em><u>move </u></em><em><u>-</u></em><em><u>8</u></em><em><u> </u></em><em><u>to </u></em><em><u>the</u></em><em><u> </u></em><em><u>other</u></em><em><u> </u></em><em><u>side </u></em><em><u>i.e </u></em><em><u>the </u></em><em><u>RHS </u></em><em><u>side,</u></em>

<em><u>which</u></em><em><u> </u></em><em><u>results</u></em><em><u> </u></em><em><u>in </u></em><em><u>the </u></em><em><u>change</u></em><em><u> </u></em><em><u>of </u></em><em><u>it's</u></em><em><u> </u></em><em><u>sign(</u></em><em><u>-</u></em><em><u> </u></em><em><u>converts</u></em><em><u> </u></em><em><u>into </u></em><em><u>+</u></em><em><u>)</u></em>

<em><u>=</u></em><em><u>></u></em>

<em><u>x =  - 11 + 8</u></em>

<em><u>Now </u></em><em><u>,</u></em><em><u> we'll</u></em><em><u> </u></em><em><u>add </u></em><em><u>the </u></em><em><u>Numbers</u></em>

<em><u>=</u></em><em><u>></u></em>

<em><u>x =   - 3</u></em>

<h2><em><u>Hence</u></em><em><u>,</u></em><em><u>-</u></em><em><u>3</u></em><em><u> </u></em><em><u>is </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u>.</u></em></h2>

<em><u>^</u></em><em><u>-</u></em><em><u>^</u></em>

8 0
3 years ago
Read 2 more answers
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