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3 years ago

The graph shows the girth of the trunk of a fir tree after different numbers of years:

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

4 0

Answer:

C) The original girth was 5 centimeters.

Step-by-step explanation:

The y intercept is where it crosses the y axis ( 0,5) and is the initial starting point of the girth

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

$P(140< \bar X$

5 0

3 years ago

3 questions

frutty [35]

1) add 7 to both sides and get -5....so -5 >x
2) add 7 to both sides.....so get b<-5
3) add 17 to both side...so get z>1

6 0

4 years ago

Read 2 more answers

1) At a diner, the cost for a specialty waffle and a hashbrown is $9.50. The cost for 2 specialty

klemol [59]

9514 1404 393

Answer:

waffle $8
hashbrowns $1.50

Step-by-step explanation:

Using w and h for the costs of a waffle and hashbrowns, respectively, we can write the equations for the purchase amounts as ...

w + h = 9.50

2w + 3h = 20.50

Subtracting twice the first equation from the second gives ...

(2w +3h) -2(w +h) = (20.50) -2(9.50)

h = 1.50 . . . . . . simplify

w = 9.50 -h = 8.00 . . . . . find w using the first equation

The cost of a waffle is $8.00; the cost of hashbrowns is $1.50.

4 0

3 years ago

If , n^-3 = 1/8 then n would be which of the following? -1/2 -2 2 1/2

lions [1.4K]

Answer:

Step-by-step explanation:

${n}^{ - 3} = \frac{1}{8} \\ \\ {n}^{ - 3} = \frac{1}{ {2}^{3} } \\ \\ {n}^{ - 3} = {2}^{ - 3}.. (\because \frac{1}{a^n} = a^{-n}) \\ \\ n = 2 \\(\because exponents \: are \: same\: hence\: \\bases\: will \: also\: be\: equal)$