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yulyashka [42]
3 years ago
7

How to work rates and proportions

Mathematics
1 answer:
tatuchka [14]3 years ago
8 0

Answer:

A proportion is an equality of two ratios. ... A rate is the quotient of a ratio where the quantities have different units. Example: Flying speed. In this lesson, we'll: Learn to convert between part-to-part and part-to-whole ratios.

Step-by-step explanation:

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A circular garden has a circumference of
omeli [17]

This solution to this problem is predicated on the fact that the circumference is just: 2\pir. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:

d\pi

So, solving for both the radius and the diameter gives us:

d\pi=8xy^2\pi\\ d=8xy^2\\ \\ 2\pi r=8xy^2\pi\\ r=4xy^2

So, the length of thes traight path that goes through the center of the guardain is just 8xy^2, and we can use the radius for the next part of the problem.

The area of a circle is \pi r^2, which means we can just plug in the radius and find our area:

A=\pi r^2 \implies \\ A=\pi (4xy^2)^2\implies \\ A= 16\pi x^2y^4

So, we have found our area(16 \pi x^2 y^4) and the problem is done.

6 0
4 years ago
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016
hodyreva [135]

Answer:

Required Probability = 0.97062

Step-by-step explanation:

We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.

Let X = weight of the newborn baby, so X ~ N(\mu=4016 , \sigma^{2} = 532^{2})

The standard normal z distribution is given by;

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

Now, probability that the weight will be less than 5026 grams = P(X < 5026)

P(X < 5026) = P( \frac{X-\mu}{\sigma} < \frac{5026-4016}{532} ) = P(Z < 1.89) = 0.97062

Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .

5 0
3 years ago
2. A man buys eggs at 55kobo a score . he finds that 10% of the eggs are unsellable but sells the rest at 60kobo a dozen .find i
liubo4ka [24]

Answer:

Percentage Profit is 63.63%

Step-by-step explanation:

The man buys 440 eggs at 55 pence a score

i.e. he buys 20 eggs for 55 pence

He buys 1 egg for 55/20 = 2.75 pence

Therefore, he buys 440 eggs for = 440 × 2.75 = 1210 pence

10% eggs are unsaleable

thus he sold = 440 - 440 × 10/100 = 440 - 44 = 396 eggs

Eggs sold in dozen = 396/12 = 33

He sold 1 dozen for = 60 pence

Thus, he sold 33 dozen for = 33 × 60 = 1980 pence

Profit = 1980 - 1210 = 770 pence

% Profit = (770/1210) × 100 = 63.63%

(hope this helps can i plz have brainlist :D hehe)

3 0
3 years ago
Solve the equation:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28y%2B2%29%5E%7B2%7D%20%7D%20%3D%20c" id="TexFormula1" titl
r-ruslan [8.4K]

Answer:

Not quite sure what you're meant to solve for, but my solution is below.

Step-by-step explanation:

The square root of a value squared is the absolute value of that value, because squaring removes all negatives. Therefore:

\sqrt{(y+2)^2}=c

\mid y+2\mid=c

\mid y\mid =c-2

Hope this helps!

7 0
3 years ago
A community sports league is raising money by making custom shirts to sell at league games. They plan to sell the shirts for $14
11111nata11111 [884]

Answer:

A. (14 – 7)n – 55

Step-by-step explanation:

it cost $14 to make so $14 - $7 to make then you have to advertise it AFTER and it takes more money to advertise so, -55 so the answer would be:

(14 – 7)n – 55

5 0
3 years ago
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