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Veseljchak [2.6K]
2 years ago
9

Every female chicken lays 4 eggs. What is the constant of proportionality for the ratio of eggs to female chickens? 4 3

Mathematics
1 answer:
satela [25.4K]2 years ago
4 0

Since every female chicken lays 4 eggs, if you have one chicken you have 4 eggs, if you have two chicken you have 8 eggs, and so on.

We can even build a little table to show some values:

\begin{array}{c|c}1&4\\2&8\\3&12\\4&16\\5&20\\\vdots & \vdots\\n& 4n\end{array}

So, as you can see, the ratio between the number of eggs and the number of female chicken is 4.

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Amir can run 15 kilometers in one hour. how many kilometers can amir run per minute? there are 60 minutes in 1 hour.
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Amir can run 0.25 kilometers per minute.
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2 years ago
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Two months ago, the price, in dollars, of a cell phone was c.
laiz [17]

Answer:

c × 0.90

Step-by-step explanation:

c × 0.90, would be your answer because 10% is equal to 0.10, then you would subtract the 0.10 (10%) by 1 (100%), then multiply c times the 0.90 that you get, to get the decreased number, because you're multiplying by a decimal

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X - 0.25x = 0.75x
MrRissso [65]
I have no idea myself
3 0
2 years ago
Y is directly proportional to the square of x.
RUDIKE [14]

Answer:

The value of y is 847 for x=11

Step-by-step explanation:

It is given that y is directly proportional to the square of x

This can be written mathematically as:

y \propto  x^2

Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k

y = kx^2

Given that "When x is 5, y is 175"

175 = k (5)^2\\175 = k*25\\k = \frac{175}{25}\\k = 7

Putting the value of k

y = 7x^2

Now putting x = 11

y = 7(11)^2\\y = 7 * 121\\y = 847

Hence,

The value of y is 847 for x=11

5 0
2 years ago
College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

0.04272\times 100\%=4.272\%

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0
3 years ago
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