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maw [93]
2 years ago
11

1. What kind of correlation is shown? (see #1 above)

Mathematics
1 answer:
klemol [59]2 years ago
3 0
I this it would be constant correlation
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The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a b
Anastaziya [24]

Answer:

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.

This means that \sigma = 15, \mu = 590

Find the probability of a bulb lasting for at most 605 hours.

This is the pvalue of Z when X = 605. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{605 - 590}{15}

Z = 1

Z = 1 has a pvalue of 0.8413

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

7 0
3 years ago
the line -6+2y=10 is written in standard form. can you tell what the growth of the line is?Its y-intercept?
slamgirl [31]

Answer:

Growth: 3

y-intercept: 5

Step-by-step explanation:

1. Find the equation in slope-intercept form:

-6x+2y=10

2y=6x+10

y=3x+5

2. Then we can easily identify the growth and y-intercept.

Growth: 3

y-intercept: 5

6 0
3 years ago
Read 2 more answers
Which function represents the graph of h(x)=2|x+3|−1 after it is translated 2 units right?
harina [27]

\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}

\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}

\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}

now with that template in mind

\bf h(x)=\stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{3}|\stackrel{D}{-1}\qquad \qquad \stackrel{\textit{C=C-2 a translation to the right}}{h(x)=2|x\boxed{+3-2}|-1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill h(x)=2|x+1|-1~\hfill

8 0
4 years ago
Read 2 more answers
What is the simplify of this expression -2(2b-3)
patriot [66]

-2(2b-3)

Multiply the bracket by -2

Whenever multiplying a -negative number with a -negative number= + positive number.

(-2)(2b)(-2)(-3)

-4b+6

Answer: -4b+6

6 0
3 years ago
Read 2 more answers
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an
N76 [4]

Answer:

I THINK UTS A            y = 32,000(1.08)x

Step-by-step explanation:

8 0
2 years ago
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