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2 years ago

the length of marshalls rectangular poster is 2 times its width. if the perimeter is 24 inches, what is the ara of the pantry?

1 answer:

8 0

The length equals 2 times the width. So let's say width=w Then length =2w. Perimeter is adding all the sides so 2 lengths and 2 widths. 24=2(2w) +2w. 24=4w+2w. 24=6w divide each side by 6 to get 4=w. If width is 4 then length is 4x2 or 8. Area is length x width son4x8 which makes the area 32

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The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in n

devlian [24]

Answer:

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so $\mu = 49.9, \sigma = 3.74$ .

What is the length in cm of the longest 15% of Atlantic cod in this area?

We have to find the value of X for the value of Z that has a pvalue of 0.85.

Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when $Z = 1.04, \mu = 49.9, \sigma = 3.74$ .

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

$1.04 = \frac{X - 49.9}{3.74}$

$X - 49.9 = 3.8896$

$X = 53.7896$

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

8 0

2 years ago

Part of the population of 7000 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 8 of

Nikolay [14]

Answer:

1120

Step-by-step explanation:

8/50=x/7000

50x=56000

Divide 50 on both sides

1120

5 0

2 years ago

The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The boo

maria [59]

The shelf should sell for $235.20.

Marking the price up by 60% means taking 160% of the cost:
160% = 160/100 = 1.6; 1.6(147) = 235.20

5 0

2 years ago

Read 2 more answers

For the function y= -1+6cos(2pi/7(x-5)) what is the maximum value?

nata0808 [166]

The maximum value is actually the maximum of y

So, you don't need to care about the stuff inside cosine function,

Cosine function is always within the range of [-1,1]

So here, ymax = -1 + 6* 1 = 5

4 0

2 years ago

Explain why the following expression is false. |x| < -4

levacccp [35]

Step-by-step explanation:

Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.

So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.

So |x| can't be less than -4 as |x| is always positive . So the statement is false.

8 0

2 years ago