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Maurinko [17]
2 years ago
11

Two blueberry farms are similar in shape. The ratio of the side lengths of the farms is 4:5, and the smaller farm has a perimete

r of 360 yards. The cost to dig a trench is $0.75 per yard. What is the cost to dig a trench around the larger blueberry farm?
Mathematics
1 answer:
tatuchka [14]2 years ago
3 0

Answer:

$337.5

Step-by-step explanation:

4:5=360:x        360/4=90     90+360=450 check 360/450=0.8 and 4/5=0.8

4:5=360:450

larger farm perimeter is 450 yards so dig a trench 0.75 per yard

so 450 * 0.75 = $337.5

Hope this helps! :)

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Marysya12 [62]

Answer:

\frac{1}{y}

Step-by-step explanation:

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\frac{x*x*x*y*y*y}{x*x*x*y*y}

Whenever you see an x or y on the numerator and denominator cross it out because it is the same thing as 1

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5 0
3 years ago
Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker
LuckyWell [14K]

Answer:

Probability that the student scored between 455 and 573 on the exam is 0.38292.

Step-by-step explanation:

We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

<u><em>Let X = Math scores on the SAT exam</em></u>

So, X ~ Normal(\mu=514,\sigma^{2} =118^{2})

The z score probability distribution for normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma} ~  N(0,1)

where, \mu = population mean score = 514

           \sigma = standard deviation = 118

Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)

       P(455 < X < 573) = P(X < 573) - P(X \leq 455)

       P(X < 573) = P( \frac{X-\mu}{\sigma} < \frac{573-514}{118} ) = P(Z < 0.50) = 0.69146

       P(X \leq 2.9) = P( \frac{X-\mu}{\sigma} \leq \frac{455-514}{118} ) = P(Z \leq -0.50) = 1 - P(Z < 0.50)

                                                         = 1 - 0.69146 = 0.30854

<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

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Answer:

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Answer:

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