I’m need the solution ASAP

9514 1404 393

Answer:

  a) 3003

  b) 1419

Step-by-step explanation:

a) With no restrictions, the problem amounts to counting the number of combinations of 14 people taken 6 at a time. That is ...

  14!/(6!(14-6)!) = 3003 . . . teams with no restrictions

__

b) With the restrictions, there are two cases:

  (i) all 6 people are taken from the 12 that exclude the couple. That number of combinations is ...

  12!/(6!(12-6)!) = 924

  (ii) 4 people are taken from the 12 that exclude the couple, and the couple fills the last two team slots. That number is ...

  12!/(4!(12-4)!) = 495

The sum of the counts of these two cases is ...

  924 +495 = 1419 . . . teams with inseparable couple

Answer:

Step-by-step explanation:

y = 15

The ratio of the corresponding sides of a similar triangle will be constant. Then the length of y will be 15 units.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

Then the ratio will be

22 / 10 = 33 / y = x / 12

From first two terms, we have

22/10 = 33/y

      y = 15 units

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

C : 6

Step-by-step explanation:

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

Answer:

D

Step-by-step explanation:

Race through running: 8/18th's

Race through cycling: 9/18th's

Total race covered is: 17/18th's

Answer:

Minimum is 143, second whisker is 150, median is 160.5, 3rd quartile is 166.5, maximum is 180

Step-by-step explanation:

The first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5

A box plot has 5 data description.

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, second quartile (also called median) is approximately in mid of the data.

Third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in assumption that data was arranged increasingly from left to right

For this case, the data is:

143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180

It is already sorted. There are 20 values.

We have to find the limits of box and the mid line, which are the three quartiles.

Dividing 20 in 4 equal parts give size of 5

Thus, 5-5-5-5 groups will be made by the three quartiles of this data.

The fifth value is 150, and sixth is 152. Any number between 150 and 152 can be taken as the first quartile, as before it will lie 25% of values and 75% of the data  after that value. By tradition, we take average of these two values, so its 151 as the first quartile of the considered data set.

In the similar way, the second quartile or median is mean of 10th and 11th value which evaluates to (160+161)/2 = 160.5

And, the third quartile is the mean of 15th  and 16th value of this data set, which evaluates to (165+168)/2 = 166.5

Thus, the first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5

Learn more about quartiles here:

brainly.com/question/9260741

Answer:

I'm pretty sure it's -5.7

Answer:

b

Step-by-step explanation:

only b is true

Answer:

20

Step-by-step explanation:

EG = EF + FG

Its given in the question that -

• EF = 9

• FG = 11

So,

EG = 9 + 11 = 20

Answer:

for example the PF of 32 is 2*2*2*2*2 or 2^5

Step-by-step explanation:

Answer:

It means the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.

Answer:

7 2/3 is the answer but it is equal to 23/3.

Step-by-step explanation

23/3 is an improper fraction. I hope this helps you!

Answer:

C. 2, 4, 8, 16, 32

Step-by-step explanation:

C. 2, 4, 8, 16, 32 is NOT an arithmetic sequence. Because the difference between any two consecutive terms is not same.

Answer:

Opposite 12= -12

Absolute value of 12: Just -12.

Step-by-step explanation:

I don't know.

Answer:

a) 21 mm

b) 39 cm^2

Step-by-step explanation:

a) The ratio of the diameter from A to B is 5:3

Let the diameter of B be x

If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm

Thus;

5/3 = 70/x

5* x = 70 * 3

5x = 210

x = 210/5

x = 42 mm

So the radius of circle B will be 42/2 = 21 mm

b) The area of circle A

Mathematically we apply the area of a circle formula here

A = pi * r^2

A = 22/7 * 35 * 35

A = 3,850 mm^2

To convert this to cm^2, we will

need to divide by 100

That would be 3850/100 = 38.5 cm^2 = 39 cm^2

Answer: M(-4,7)P(0,5)Q(-2,1)

Step-by-step explanation:

The translation is telling you to subtract each x value by 4 and add 1 to each y value.

Answer:

4.8 and 0.6

Step-by-step explanation:

Answer:

If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000

Step-by-step explanation:

Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.

Hope this helps :)

Answer:

The runner’s time is 3.18 minutes

Step-by-step explanation:

Mathematically;

z-score = (x-mean)/SD

In this question, we have the z-score but we want to calculate x

From the question

z-score = -1.76

mean = 4.5 minutes

SD = 0.75 minutes

x = ?

Substituting these values, we have that

-1.76 = (x-4.5)/0.75

0.75(-1.76) = x - 4.5

-1.32 = x - 4.5

x = 4.5 -1.32

x = 3.18

Answer:

3.18

Step-by-step explanation:

edg

Answer:

The vertex is the minimum.

Step-by-step explanation:

the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

Answer:

14 > 6

Step-by-step explanation:

because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number

Answer:

For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]

For the second: [tex]x=5[/tex]

Step-by-step explanation:

Answer:

x=17 for the first and x=5 for the second.

Step-by-step explanation:

First picture

Opposite angles of two intersecting lines are equal.

So the angle opposite the 100 degree angle on line c is also 100.

Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).

So 5x + 15 = 100

5x = 85

x = 17

Second picture

Adjacent angles add up to 180 degrees.  So the angle opposite 52 is 180-52=128.

[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]

Answer:

Step-by-step explanation:

d

Answer:

19 is a prime number. 40 is a composite number

Step-by-step explanation:

40 can be divided by number other than 1 and its self

19 can only be divided by 1 and itself

Answer:

19 is composition 40 is prime number