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3 years ago

A farmer has 113 sheep. 47 of them are males. How many more female sheep are there than male sheep?

Mathematics

2 answers:

Brrunno [24]3 years ago

5 0

Well if u subtract 113 from 47 u get 66

Wittaler [7]3 years ago

5 0

113=47+f (f for female sheep)
subtract 47 from both sides
66 sheep are female

to find out how many more are female, 66-47

19 more are female than male

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Solve: -9(-5-3x)=21 A) 8/9 B) -8/9 C) 22/9 D) -22/9

marin [14]

Answer: B) -8/9

Step-by-step explanation:

I would start by looking inside the parenthesis to see if anything could be simplified. We see the terms -5 and -3x, and upon realizing that there is no way to simplify, we can go ahead and just simplify the left side of the equation as much as we can before worrying about breaking the equation down. Distribute the -9 to the -5 and the -3x (multiply -9 by -5 and -9 by -3x). Multiplying two negative numbers will result in a positive value, so the left side of your equation should end up looking like this: 45+27x=21. Now, we can start working to get the variable on its own. Subtract 45 from both sides of the equation. On the left side this cancels out and leaves you with 27x. On the right side you have more of the negative value than positive value, so you end up with -24. The equation now looks like this: 27x=24. The only thing left to do is divide the equation by 27. On the left side of the equation, this leaves you with just x. On the right side, you get -24/27. Normally at this point I would divide out to get the decimal form (I prefer working with decimals) but bc the answer choices are all fractions there's not really a good use to, so instead let's just find the greatest common denominator (GCD) which would be 8. (Just as a clarification the GCD is the largest number you can divide both numbers by evenly.) Divide both the numerator and denominator by eight leaves you with -8/9. Therefore, x= -8/9.

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3 years ago

Write a positive or negative integer that represents the situation: The temperature rises 17 degrees

Iteru [2.4K]

+17 I hope this helps

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3 years ago

Describe Bob’s data in terms of center, spread, and shape.

ra1l [238]

Step-by-step explanation:

Bob's points per game are

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

Calculating Median:

As the median is the middle number in a sorted list of numbers when there is an odd number of terms.

As the the total number of terms = 37

Therefore, the median is the center term which is 10.

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

Calculating Range:

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

The range is the difference between the highest and lowest values in the data set.

The lowest value is 5

The highest value is 15

The range = 15 - 5 = 10

Calculating the interquartile range (IQR)

The interquartile range is the difference between the third and first quartiles.

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers.

So, the bottom half is

5 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10

The median of these numbers is 8.5

The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers.

So, the upper half is

10 11 11 11 11 11 12 12 12 12 13 13 13 14 14 14 15 15

The median of these numbers is 12

The third quartile is 12

The first quartile is 8.5

Therefore,

The interquartile range = 12 - 8.5 = 3.5

Finding Mode

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

The mode of a set of data is the value in the set that occurs most often.

So, It is bimodal.

Therefore, the mode is 10.

Finding Mean

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean=Sum\:of\:terms\:\div Number\:of\:terms$

$Sum\:of\:terms\:=\:385$

$Number\:of\:terms\:=\:37$

$Mean\:=\:\frac{385}{37}=10.4$

Determining whether the data is symmetrical or non-symmetrical

The data is non-symmetric, they do not have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it does not look about the same on both sides. Please check the histogram attached below.

Calculating Mean Absolute Deviation

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean.

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

Population size = 37

$Mean=10.4$

Mean Absolute Deviation (MAD): 2.0

Keywords: mode, median, mean, non-symmetrical data, range, Interquartile Range (IQR)

Learn more about mode, median and mean from brainly.com/question/13221365

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3 0

2 years ago

Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person,

Lelu [443]

Answer:

Farmer Bill sold 120 lb of potatoes

Step-by-step explanation:

Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.

Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:

$\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x$

This is the remaining portion of the potatoes.

Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:

$\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x$

Thus:

$\frac{1}{12}x=10$

x = 120 lb

Farmer Bill sold 120 lb of potatoes

5 0

3 years ago

What is 0.0039 written in scientific notation?

Mademuasel [1]

3.9 * 10^-3. The way you do it is to make the number less than 10 but more than 0, then make it a product of a power of 10, ie: 120 = 1.2 * 10^2. And for numbers less than zero, the power is negative, ie: 0.03 = 3 ^ 10*-2

5 0

3 years ago