The perimeter of a rectangle is 34 units. Its width is 6.5 units.

1 answer:

5 0

It´s length is 10.5 because:

Perimeter = (2 x width) + (2 x length), so the equation is:

Length = [Perimeter - (2 x width)] / 2

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NNEED HELP!! GEETSS BRAINLIEST**

sergejj [24]

Answer:

D. $y=3\cos \left(\dfrac{4}{3}x-2\pi\right)+2$

Step-by-step explanation:

The period of the functions $y=\cos x,\ y=\sin x$ is $2\pi.$

The period of the function $y=a\cos (kx+b),\ y=a\sin(kx+b)$ is ALWAYS $\dfrac{2\pi}{k}$

In your case, you have function $y=-3\sin \left(\dfrac{2}{3}x-2\pi \right)+2$ and this function has the period

$\dfrac{2\pi}{\dfrac{2}{3}}=3\pi.$

You need to find the function that will have the period that is half of $3\pi,$ so

$\dfrac{3\pi}{2}=\dfrac{2\pi}{k}\\ \\3k=4\\ \\k=\dfrac{4}{3}.$

So, correct choice is

$y=3\cos \left(\dfrac{4}{3}x-2\pi\right)+2$

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Elena-2011 [213]

56,000 would be the answer. If you divide the 42,000 by 3 then add your quotient to the original number you get his salary before tax.

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A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar

a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1200, \sigma = 60$