MODELING REAL LIFE Forty-five basketball players participate in a three-on-three tournament. Write and solve an equation to find the
number x of three-person teams in the tournament.
An equation that represents this problem is
= 45
They can form
three-person teams.

Answer:

8

Step-by-step explanation:

Answer:

there are 125 cars in the parking lot

Step-by-step explanation:

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

8x + 2 < 6x - 9

8x - 6x < -9 -2

2x < -11

x < -11/2

Answer:

The expected number of adult workers with a high school diploma is 4 out of 10

Step-by-step explanation:

4 out of 10 = 40%

Answer:

[tex]804.3m^2[/tex]

[tex]\pi *16^2=804.24772[/tex]

The average number is 17.25. The variance is 14.24.

Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance is a measure of dispersion, or how far apart from the mean a group of data is from one another.

Given that the tigers are randomly selected from the 31 tigers at your local zoo:

22, 13, 18, 16

Mean = ( 22 + 13 + 18 + 16 ) / 4  

Mean = 17.25

Variance = ∑(x - xm ) / n - 1

Variance = [( 22 - 17.25)² + ( 13 - 17.25 )² + ( 18 - 17.25 )² + ( 16 - 17.25 )²] / 4 - 1

Variance = ( 18.06 + 0.5625 + 1.5625 +22.56) / 3

Variance = 14.24

Therefore, the average number is 17.25. The variance is 14.24.

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Step-by-step explanation:

hope this right.but if its not,im so sorry

Answer:

probably -3, -1 bc it is local to origin and the minimum in that situation. I just got into this topic myself so I'm not exactly sure

Answer:

-1  2/3

Step-by-step explanation:

Answer:

Where is it ?

Step-by-step explanation:

Answer:

Tan 50 = H/24

Step-by-step explanation:

The set up will give a right angled triangle;

Given the following

angle of elevation = 50degrees

Distance of elevation from the flagpole base = 24m (Adjacent)

Required

Height of the flagpole (Opposite) = H

Using the SOH CAH TOA identity

Tan theta = opposite/adjacent

Tan 50 = H/24

H = 24tan50

H = 24(1.1918)

H = 28.60

Hence the required expression is Tan 50 = H/24 where H is the height of the flagpole

The height of the flagpole is 28.60.

Given

The angle of elevation to the top of a flagpole is 50 degrees.

The angle of elevation was measured 24 from the base of the flagpole.

The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.

Let the height of the flagpole be H.

Then,

The height of the flagpole is given by;

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\ \rm Tan50=\dfrac{H}{24}\\\\H = 24 \times tan50\\\\H = 24\times 1.91\\\\H=28.60[/tex]

Hence, the height of the flagpole is 28.60.

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Answer:

The one on the right is 25 percent smaller then the one on the left. They have he same angle measures.  The line lengths are just different.

Step-by-step explanation:

Hope this helps.

Answer:

x=6+√33/3,6−√33/3

Step-by-step explanation:

hope this helps

Answer:

IT IS B

Just trust me ; P

Because 24 square rooted = 5.196152422706632

Now add three - 8.196152422706632

17/2 = 8.5

8.196152422706632<8.5

Answer:

C(5)= $13,172.05

Step-by-step explanation:

To calculate C(t), we need to divide the formula into two equations:

C(t) =b(t) +h(t)

b(t)= PV*(1+i)^n

n= number of months

i= monthly interest rate

PV= initial investment

h(t)= montlhy deposit* number of months

Now, for C(5); I assume its 5 years:

i= 0.036/12= 0.003

n= 5*12= 60

C(5)= 9,000*(1.003^60) + 40*60

C(5)= $13,172.05

Answer:

A . Elimination, a coefficient in Equation 1 is an integer multiple of a coefficient in Equation II.

hope it is helpful...

Answer:

[tex] \red{ \bold{\begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]

Step-by-step explanation:

[tex] \begin{bmatrix} 4 & 19 & - 5\\ \\ 7 & 0 & - 14\end{bmatrix} + \begin{bmatrix} -8 & 7 & 0\\ \\ - 1 & 17 & 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 + ( - 8) & 19 + 7 & - 5 + 0\\ \\ 7 + ( - 1) & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 - 8 & 19 + 7 & - 5 + 0\\ \\ 7 - 1 & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ \purple{ \bold{ = \begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]

[tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex] is the sum of the given matrices.

There are columns and rows in a matrix. The dimensions or size of a matrix are determined by these rows and columns. There are many different kinds of matrices, including row, column, null, square, diagonal, upper triangular, lower triangular, symmetric, and antisymmetric matrices.

Given two matrices,

[tex]\left[\begin{array}{ccc}4&19&-5\\7&0&-14\\\end{array}\right][/tex] and [tex]\left[\begin{array}{ccc}-8&7&-0\\-1&17&6\\\end{array}\right][/tex]

We need to find the sum of this given matrices

The only matrices that may be added together are ones of the same size. As a result, you can only add matrices if they are both  m × n. For example, you can add two or more 3 × 3, 1 × 2, or 5 × 4 matrices. You cannot add a 2 × 3 and a 3 × 2 matrix, a 4 × 4 and a 3 × 3, etc. The number of rows and columns of all the matrices being added must exactly match.

thus,

Sum of matrices = [tex]\left[\begin{array}{ccc}4 -8&19 +7 &-5 + 0\\7 -1&0 + 17&-14 +6\\\end{array}\right][/tex]

Sum of matrices = [tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex]

Therefore, option D is correct.

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Answer    (5,9)

Step-by-step explanation:

that is the answer

Answer:

The mean of the sampling distribution of the proportion of employees who wear contact lenses is 0.12 and the standard deviation is 0.0145.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

12% of the employees wear contact lenses.

This means that [tex]p = 0.12[/tex]

Samples of 500:

This means that [tex]n = 500[/tex]

What are the mean and standard deviation of the sampling distribution of the proportion of employees who wear contact lenses?

Mean:

[tex]\mu = p = 0.12[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.12*0.88}{500}} = 0.0145[/tex]

The mean of the sampling distribution of the proportion of employees who wear contact lenses is 0.12 and the standard deviation is 0.0145.

Answer:

3/4 is equivalent to .75 and 2/4 is equivalent to .50 so this shows   .75 is greater than .50 allowing us to know 3/4 is greater than 2/4

Step-by-step explanation:

Answer:

Hey

Ok ima explain it in the most simple way

lets start with 2/4 if you count and do everything correctly 2 is halfway from 4 so its 50%. think of it this way 2/4 is 50% because 2 is only halfway to 4.

3 is more than half way to 4 because it is only up to 4. You can only do this method when the denominator is the same. 3/4 is bigger than 2/4 because 3 is bigger than 2.

Step-by-step explanation:

Have a good day!!

Answer:

minor arc AC = 150 degrees

Step-by-step explanation:

minor arc AC = 360-136-74 = 150 degrees

Answer: 150

Step-by-step explanation: Khan Academy

Answer:

We need the following translation: [tex]h(x) = g(x) +4[/tex]

Step-by-step explanation:

To transform [tex]g(x)[/tex] into [tex]h(x)[/tex], we need must apply the following translation:

[tex]h(x) = g(x) +4[/tex] (1)

If we know that [tex]g(x) = x^{2} -5[/tex], then the expression of [tex]h(x)[/tex] is:

[tex]h(x) = x^{2}-5 +4[/tex]

[tex]h(x) = x^{2}-1[/tex] (2)

Which demonstrates the affirmation.

Answer:

96

Step-by-step explanation:

You add the scores, add 96, divide by 4 and you get 90.

Answer:

$12 on Monday

$16 on Tuesday

$28 in total

Step-by-step explanation:

Multiply the number of pounds by the cost per pound on Monday:

3 * 4 = $12 on Monday

If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:

4 * 0.2 = 0.80

Next, subtract the 20% from the normal price:

4 = 0.80 = 3.20

Finally, multiply the discounted price by the number of pounds she bought:

3.20 * 5 =  $16 on Tuesday

You can find the total of both Monday and Tuesday by adding the two together:

12 + 16 = $28.00 in total

Answer:

the first one. with two shaded dots and a line between them

Answer:

AC = 64

Step-by-step explanation:

the triangles are congruent because SAS

AC = AB

7x-6 = 6x+4

x = 10

AC = 64

Answer:

Basically we need to add all of the inches

Step-by-step explanation:

so...

8 inch ( first day ) + 6 inch ( second day) + 9 inch ( third day )

add all those inches together what do you get?

23 inches in total. So altogether 23 inches of snow fell during the 3-day storm

Answer:

1.9

Step-by-step explanation:

A foot is 12 inches, add 8+9+6 you get 23 convert. 23 inches to feet you get 1.9 feet