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Kisachek [45]
3 years ago
7

orge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original

photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be?
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0
800 px - 600 px
1,260 px - x px

x=\dfrac{1,260\cdot600}{800}=945

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The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra
Snezhnost [94]
Let X denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by X_1,\ldots,X_{36}, each independently and identically distributed with distribution X_i\sim\mathcal N(26,7.2).

You want to find

\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)

Recall that if X\sim\mathcal N(\mu,\sigma), then the sampling distribution \overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right) with n being the size of the sample.

Transforming to the standard normal distribution, you have

Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}

so that in this case,

Z=6\dfrac{\overline X-26}{7.2}

and the probability is equivalent to

\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)
=\mathbb P(Z>1.481)\approx0.0693
5 0
3 years ago
Please help<br> !!!!!!!!!!!
cluponka [151]

jmryhnrfthyj4u5ikjhgtrfrgthyjunr

5 0
3 years ago
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If you bought 24 light bulbs, how much money would you save by buying the less expensive light bulbs?
Firlakuza [10]

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with the less expensive light bulb, the cost would be $119.04

This means you would save $36.48

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3 years ago
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Pls help i really need help
Lerok [7]

Answer:

area=l×w

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14/5=6/5x

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3 years ago
Which describes the range of the parent absolute value function?
Dmitrij [34]
I think the answer is yly>0
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