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3 years ago

An orchard has 12 rows of pear trees. Each

Mathematics

1 answer:

Mumz [18]3 years ago

3 0

Answer:

180 trees.

Step-by-step explanation:

There are 12 rows of pear trees. Each row have 15 pear trees.

# Rows * Trees Per Row

12 * 15 = 180

There should be 180 pear trees in the orchard.

Hope this helps.

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The area of a circle is 100 square miles. What is the diameter?

adell [148]

Answer:

The diameter of a circle with an area of 100 square miles is 20/√π miles.

Step-by-step explanation:

Area =100 = πr^2.

diameter = d = 2r.

100 = πr^2.

100/π = r^2.

√(100/π) = r.

10/√π = r.

d = 2r.

d = 2 * 10/√π.

d = 20/√π

5 0

3 years ago

For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12

sleet_krkn [62]

Answer: p = 6

Step-by-step explanation:

HI !

px + 3y - ( p-3)=0

a₁ = p , b₁ = 3 , c₁ = - (p-3)

=====================

12x + py - p=0

a₂ = 12 , b₂ = p , c₂ = -p

since , the equations have infinite solutions ,

a₁/a₂ = b₁/b₂ = c₁/c₂

p/12 = 3/p = p-3/p

--------------------------------------

p/12 = 3/p

cross multiply ,

p² = 36

p = √36

p = 6

for the value of p = 6 , the equations will have infinitely many solutions

5 0

3 years ago

The average weight of a medium size egg is found to be 3.2 oz, with a standard deviation of 0.13 oz. What is the heaviest egg (t

Over [174]

Answer:

We are 95% confident that the average weight of the heaviest egg that is still medium size is 3.52 oz

Step-by-step explanation:

Mean = 3.2 oz, sd = 0.13 oz

Assuming there are 3 heavy eggs, n= 3, degree of freedom = n-1 = 3-1 = 2, t-value corresponding to 2 degrees of freedom and 95% confidence level is 4.303

Error margin = t×sd/√n = 4.303×0.13/√3 = 0.32 oz

Upper limit (heaviest egg that is still medium size) = mean + error margin = 3.2 + 0.32 = 3.52 oz

3 0

3 years ago

92.96 as a fraction

nikklg [1K]

To change a decimal to a fraction you need to first place the decimal over 1. Next, for each number behind the decimal, you will multiply by a multiple of 10. Since there are 2 numbers behind the decimal, it's 100. Therefore,
92.96 x 100 = 9296
1 x 100= 100

Your new fraction is 9296/100. Now we simplify it. I'm going by 2's so it may take a bit.
Simplifying it twice by 2's your answer would be:

2324/25

3 0

3 years ago

Hey can you please help me posted picture of question

Sergeeva-Olga [200]

Total number of chips = 4+ 6 = 10
Number of white chips = 4

Probability of picking a white chip = $\frac{4}{10}= \frac{2}{5}$

This white chip is not replaced back into the bag. This will reduce the number of white chips in the bag by 1 and reduce the total number of chips in the bag by 1.

So, now the total number of chips in the bag = 3 + 6 = 9
Number of white chips in the bag = 3

Probability of picking a white chip = $\frac{3}{9}= \frac{1}{3}$

Thus, the probability of picking two white chips will be = $\frac{2}{5}* \frac{1}{3}= \frac{2}{15}$

Therefore, option B gives the correct answer.

3 0

3 years ago