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2 years ago

How many four element subsets of \{1, 2, 3, 4, 5, 6, 7\}{1,2,3,4,5,6,7} have 11 as an element but do not have 77 as an element

1 answer:

4 0

If we fix 1 to be an element of a subset of size 4, then we can choose from 5 other elements (2, 3, 4, 5, and 6) to fill the other 3 spots in the subset. So there are

$\dbinom53 = \dfrac{5!}{3!(5-3)!} = \boxed{10}$

such subsets.

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The ratio of the dimensions of a rectangular patio are 4:7. if the shorter

Cerrena [4.2K]

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

$\frac{4}{7} =\frac{10}{x}$

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

$\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}$

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: $w*l$

So we can plug our dimensions into the formula: $10*17.5=175$

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.

PERIMETER

The formula for the perimeter of a rectangle is: $2(w+l)$

We can plug our dimensions into the formula: $2(10+17.5)=55$

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.

4 0

3 years ago

Help sleepyhelp asap

SVEN [57.7K]

Answer:

The one that has the number of meals in the side and the one that has number of days

Step-by-step explanation:

If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has

Hope this helps

8 0

3 years ago

Factor 2a2 + 2b2 - 5ab

melamori03 [73]

(a - 2b) • (2a - b) is how you factor this using FOIL

3 0

3 years ago

Read 2 more answers

Can anyone help me with this? 9x+4=15 Find value of x

PtichkaEL [24]

Step-by-step explanation:

9x+4=15

9x=15-4

9x=11

x=11/9 or 1 2/9

3 0

3 years ago

Read 2 more answers

1. A random sample of 25 of the 400 members of the Bigtime Theater

natulia [17]

Answer:

Minimum value = 1

Maximum value = 10

First Quartile or 25th percentile = 2.5

Third Quartile or 75th percentile = 5

Median = 4

Inter Quartile Range (IQR) = 2.5

Range = 9

Number of variables = 25

Outliers = 10

Step-by-step explanation:

Note that a box and whiskers plot shows 5 major information about the distribution of data. It shows:

- The maximum variable

Simply the maximum value of the distribution.

This is usually read from the whiskers, the tail end on the whiskers at the top of the plot. But this distribution has an outlier (represented by the singular dot, which can now serve as the maximum value. Maximum value = 10

- The minimum variable

Simply the minimum value of the distribution.

This is also easily read from the whiskers, the very beginning of the whiskers at the bottom. For this distribution, the minimum value is 1.

- The first Quartile or the 25th percentile

This is the beginning of the boxplot. For this distribution, it is 2.5.

- The third quartile or the 75th percentile

This is the end of the boxplot. For this distribution, it is 5.

- The Median

This is the number at the middle of the distribution when all the variables are arranged in ascending or descending order.

This is represented by the point that coincides with the line drawn on the boxplot. For this distribution, the Median is 4.

The other variables describing the dataset that can be obtained from the boxplot include;

1) The Interquartile Range (IQR)

The IQR is a measure of the spread of the distribution and it is given mathematically as the difference between the third and first quartile.

IQR = (Third quartile or 75th percentile) - (First quartile or 25th percentile)

IQR = 5 - 2.5 = 2.5

2) The range.

The range is given as the difference between the maximum and minimum values of a distribution.

Range = (Maximum value) - (Minimum Value) = 10 - 1 = 9.

Hope this Helps!!!

4 0

3 years ago