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2 years ago

Cindy had 18 cats and 4 dogs, and 2 sheep at her family farm. What percentage of her animals are dogs and sheep?

Mathematics

1 answer:

denpristay [2]2 years ago

7 0

Answer:

25%

Step-by-step explanation:

FIrst, take the total of all the animals. Then add the number of dogs and sheep together. Divide the number of dogs and sheep by the total number of animals. Then multiply by 100 to get the answer in percent form.

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4^6 x 5^7 x 2^1<br> What is the answer

Serhud [2]

4 times 6 equal 24 and 5 times 7 is 35 and 2 times 1 is 2 so 35+24+2 and it equals 61

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2 years ago

Read 2 more answers

An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are norma

Komok [63]

Using the normal distribution, it is found that 0.0329 = 3.29% of the population are considered to be potential leaders.

In a <em>normal distribution</em> with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 550, hence $\mu = 550$ .

The standard deviation is of 125, hence $\sigma = 125$ .

The proportion of the population considered to be potential leaders is <u>1 subtracted by the p-value of Z when X = 780</u>, hence:

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

$Z = \frac{780 - 550}{125}$

$Z = 1.84$

$Z = 1.84$ has a p-value of 0.9671.

1 - 0.9671 = 0.0329

0.0329 = 3.29% of the population are considered to be potential leaders.

To learn more about the normal distribution, you can take a look at brainly.com/question/24663213

8 0

2 years ago

8. GODESER Kadeem is making two drawings of an oak leaf. The dimensions

slamgirl [31]

Answer:

The answer is less than 5 and 1/2

Step-by-step explanation:

3 0

3 years ago

What is the equation of a line that passes theough the points (-3,4) and (2,8)?

Salsk061 [2.6K]

<h3><u>Explanation</u></h3>

Find the slope by using rise over run with two given coordinate points.

$\begin{cases} (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(2,8) \end{cases} \\ m = \frac{y_2 - y_1}{x_2 - x_1}$

Substitute the coordinate values in.

$m = \frac{8 - 4}{2 - ( - 3)} \\ m = \frac{4}{2 + 3} \Longrightarrow \frac{4}{5}$

We have got the value of slope. Substitute in the slope-intercept form.

Slope-Intercept

$y = mx + b \\ \sf{m = slope}\\ \sf{b = y - intercept}$

Substitute and Rewrite the equation.

$y = \frac{4}{5} x + b$

Find the y-intercept or the value of b by substituting any given coordinate points.

I will substitute (2,8) in.

$y = \frac{4}{5} x + b \Longrightarrow \sf \small{Substitute \: \: the \: \: coordinate \: \: points \: \: in \: \: the \: \: equation}$

$8 = \frac{4}{5} (2) + b \\ 8 = \frac{8}{5} + b \\ 40 = 8 + 5b \\ 40 - 8 = 5b \\ 32 = 5b \\ \frac{32}{5} = b$

Rewrite the equation by substituting the value of b.

$y = \frac{4}{5} x + \frac{32}{5}$

<h3><u>Answer</u></h3>

<u> $\large \boxed{y = \frac{4}{5} x + \frac{32}{5} }$ </u>

4 0

3 years ago

3. A phone company set the following rate schedule for an m-minute

Leya [2.2K]

The obtained answers for the given piecewise function are:

(a) The cost of a call that is under six minutes is 0.70 (m < 6)

(b) The cost of a 14-minute call is 2.62 (m > 6; m is an integer)

<h3>What is a piecewise function?</h3>

A piecewise function is given by different functions at different intervals.

<h3>Calculation:</h3>

It is given that,

phone company set the following rate schedule for an m-minute call from any of its pay phones.

C(m) = 0. 70 when m ≤ 6

= 0.70 + 0.24(m - 6) when m > 6 and m is an integer

= 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer

(a) The cost of a call that is under six minutes:

Since m < 6, the cost is C(m) = 0.76

Thus, the cost of a call that is under six minutes is 0.76

(b) The cost of a 14-minute call:

Since 14 > 6, the cost is C(m) = 0.70 + 0.24(m - 6) when m > 6 and m is an integer.

C(14) = 0.70 + 0.24(14 - 6)

= 0.70 + 0.24(8)

= 0.70 + 1.92

= 2.62

Thus, the cost of a 14-minute call is 2.62.

(c) The cost of a 9 1/2 minute call:

9 1/2 = 19/2 = 9.5

Since 9.5 > 6, the cost is C(m) = 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer.

C(9.5) = 0.70 + 0.24([9.5 - 6] + 1)

= 0.70 + 0.24([3.5] + 1)

Since we know that if [x] is a function then its domain is R and the range is Z(integer)

So, [3.5] = 3(is an integer)

Then,

C(9.5) = 0.70 + 0.24(3 + 1)

= 0.70 + 0.96

= 1.66

Therefore, the cost of a 9 1/2 minute call is 1.66.

Learn more about piecewise function here:

brainly.com/question/18859540

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1 year ago