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tatiyna
2 years ago
7

Find the equation of the line perpendicular to y = -2x + 6 that goes through (2, 10).

Mathematics
1 answer:
neonofarm [45]2 years ago
7 0
If the line is perpendicular, then its slope is the reciprocal of the given line's slope. This new line's slope is 1/2. We plug it into slope-intercept form

y = 1/2x + b

Now plug in the given point of (2, 10) and solve for b. 

10 = 1/2(2) + b
10 = 1 + b
9 = b

So your equation is y = 1/2x + 9
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g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d
professor190 [17]

Answer:

The variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable <em>X</em> is defined as, <em>X</em> = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

P (X)=\frac{4}{20}=0.20

A random sample of <em>n</em> = 3 items are selected at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 3 and <em>p </em>= 0.20.

The variance of a Binomial distribution is:

V(X)=np(1-p)

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48

Compute the standard deviation (σ (X)) as follows:

\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693

Thus, the variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48

Compute the standard deviation of (20 - X) as follows:

\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693

Thus, the variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

3 0
2 years ago
-3p-(-8+4p) combining like terms &amp; distributive property
Nutka1998 [239]
Work: -3p-(-8+4p)
Distribute
-3p+8-4p
Combine
-7p+8
Answer: -7p+8

Hope that helps
8 0
3 years ago
Read 2 more answers
Use a number line to arrange these numbers in order from least to greatest:<br> 2, 19, -11, 6, -5
SSSSS [86.1K]

the first one is -11,-5,2,6,19

5 0
3 years ago
Graph the solution of this inequality: 4.5x-100 &gt;125
Lubov Fominskaja [6]
\bf 4.5x-100\ \textgreater \ 125\implies 4.5x\ \textgreater \ 225\implies x\ \textgreater \ \cfrac{225}{4.5}\implies x\ \textgreater \ 50

check the picture below.

4 0
3 years ago
Simplify 7(exponent 6) multiplied by 7 (exponent 5)
Lady_Fox [76]
7(6) x 7(5) = 7(6+5) = 7(11) is the simplified answer.
Thank you!
7 0
3 years ago
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