The number of points scored by two basketball teams in each teams' latest
10
games are listed below. Compare and contrast the measures of central
tendency for the data sets.
Team one: {54, 47, 62, 59, 49, 51, 54, 60, 57, 53}
Team two: {63, 57, 49, 52, 61, 43, 51, 53, 56, 48}

For the given experiment of spinning a spinner and drawing a card, we will see that:

We say that two events are independent if the outcome of one does not affect the outcome of the other.

In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.

B) First we want to get the probability of getting 3 and A.

The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:

p = 1/4

Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:

q = 2/8 = 1/4

The joint probability is the product of the two individual probabilities, we have:

P(3 and A) = p*q = 1/4*1/4 = 1/16

C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.

D) P(4) is the probability of drawing the card with the number 4, this is:

p = 1/4

P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:

q = (2 + 2)/8 = 1/2

E) P(1 and not D) is equal to: P(1 and A or B or C).

P(1) is 1/4.

P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)

Then the joint probability is:

P(1 and not D) = (1/4)*(6/8) = 3/16

If you want to learn more about probability, you can read:

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Check the picture below.

well, is an isosceles trapezoid, namely the slanted sides are equal, so the diagonals, in red, are also equal, so let's just find the length of the solid line diagona, since the dashed one will be the same length anyway.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2 - (-5)]^2 + [1 - (-1)]^2}\implies d=\sqrt{(2+5)^2+(1+1)^2} \\\\\\ d=\sqrt{7^2+2^2}\implies d=\sqrt{53}\implies d\approx 7.28[/tex]

ANSWER

it is the one that is highlighted Yellow

f=±✓de/4e

photo is how you do the work

Answer:

28.274 cm^2

Step-by-step explanation:

A = pi * r^2

A = pi * 3^2

A = pi * 9

28.2743338823

or

28.274

Answer: E, A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

from the center to the edge of circle, just counts 3

Answer:

162

Step-by-step explanation:

7(3×6-4)+4^3

7(18-4)+4^3

7×14+4^3

98+64

162

Answer:

162.......

Step-by-step explanation:

= 7 ( 3x - 4 ) + 4^3

= 7 ( 3× 6 - 4 ) + 4^3

= 7 ( 18 - 4 ) + 4 ^3

= 7 ( 14 )+ 4 × 4 × 4

= 98 + 64

= 162..

The required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].

The parent function is:

[tex]f(x)=x^3[/tex]

If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.

Given function [tex]f(x)=x^3[/tex] is vertically shifted by 4 units

So, f(x) will become f(x)+4

[tex]f(x)+4 = x^{3} +4[/tex]

So, the required function is [tex]f(x)=x^{3} +4[/tex]

Therefore, the required function when the parent function is stretched comes to be [tex]f(x)=x^{3} +4[/tex].

To get more about graphs visit:

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Answer:

A

Step-by-step explanation:

edge, 2022

Answer:

Step-by-step explanation:

7) 2ab + 4ac = 2*a*b + 2 *2 *a*c

                     = 2a(b + 2c)

[tex]\dfrac{2ab^{2}c}{2ab+4ac}=\dfrac{2*a* b^{2}*c}{2a(b+2c)}\\\\\\\text{2a in the denominator and numerator get cancelled}\\\\ = \dfrac{b^{2}c}{b+2c}[/tex]

8) ac - a²c² = c( a - a²c)

bc - abc     = c(b - ab)

[tex]\dfrac{ac - a^{2}c^{2}}{bc-abc^{2}}=\dfrac{c(a-a^{2}c)}{c(b-ab)}\\\\[/tex]

               [tex]=\dfrac{a-a^{2}c}{b-abc}[/tex]

9) b²+ 4b - 5 = b² + 5b - 1b - 5

                    = b(b + 5) - 1(b + 5)

                    = (b +5)(b - 1)

b² + 8b  + 15 = b² + 5b + 3b + 15

                    = b(b + 5) + 3(b + 5)

                    = (b + 5 )(b + 3)

[tex]\dfrac{b^{2}+4b-5}{b^{2}+8b+15}=\dfrac{(b+5)(b-1)}{(b+5)(b+3)}\\\\\\[/tex]

                     [tex]=\dfrac{b-1}{b+3}[/tex]

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]

[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

Answer = 221.52cm²

Step-by-step explanation:

Surface area of a hexagonal pyramid = B × H ÷ 2

Where,

b = 6

h = 5.2

⇒ 6 × 5.2 ÷ 2 = 15.6

⇒ 15.6 × 5.2 = 81.12

⇒ 6 × 9 ÷ 2 ⇒ 54 ÷ 2 = 27

⇒ 27 × 5.2 = 140.4

140.4 + 81.12

= 221.52

Answer:

Step-by-step explanation:

a -> apotham of the hexagon  ⇒ a = 3√3 cm

b -> base ⇒ b = 6 cm

s ->slant height ⇒ s= 9 cm

[tex]\text{Area of hexagonal pyramid=3*ab +3*b*s}[/tex]

                                          = 3*3√3*6 + 3*6*9

                                          = 54*1.732 + 162     [√3 = 1.732]

                                           = 93.6 + 162

                                           = 255.6 cm²

Answer:

More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.

I hope this helps you

Step-by-step explanation:

Answer:

273cm

Step-by-step explanation:

21 times 13 is 217. That is how you find out the area of parallelogram, (base times peperndicular heigh)

Answer:

Step-by-step explanation:

Answer: All three sides are congruent

The problem is with A. It's true as well. At least 2 of the sides are congruent. The way to eliminate it is to say that does not mean specifically that all three sides are congruent.

I would argue that this is a faulty question, and watch someone squirm as they try to explain to you why a is not the answer. I don't know how to comply with your request. How are the choices designated

A

B

C

or

1  

2

3

Answer:

C. All three sides are congruent.

Step-by-step explanation:

Answer:

60 miles

Step-by-step explanation:

25% of 60 = 15

Hoped this helped<33

Answer:

a. -10/13*3/13
b. -30/169

Step-by-step explanation:

Answer:

where is the full question?

Step-by-step explanation:

Ana, Betty and Carol in the ratio of 2:3:5 respectively

mom cut the $600 in (2+3+5) 10 parts

and gave 3 parts to betty

so B got 600 : 10 x 3 = $180

Answer:

Your answer would be:

57.75 or 57 3/4

(I will show how many of each length of twine that is on the graph)

Point 2 1/4:

2

Point 2 3/4:

4

Point 3:

1

Point 3 1/2:

2

Point 3 3/4:

3

Point 4:

1

Point 4 1/4:

4

We can show how much length in total Stevie used with the following equation:

(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)

Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

The strategy that would most help minimize the risk of being underinsured is to take a higher deductible.

It should be noted that a deductible simply means the amount that paid by an individual before the insurance holder will give the expenses.

In this case, the strategy that would most help minimize the risk of being underinsured is to take a higher deductible.

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#SPJ1

Answer:

choosing max coverage

Step-by-step explanation:

Some examples of he most common types of retirement accounts are:

The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:

The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.

SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.

The advantages of the SEP IRA are:

Learn more about Retirement Plans at:
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Step-by-step explanation:

is this what you were looking for?

The mean of the uniform distribution of X is the average of the distribution

The mean and standard deviation of X are 18 and 9.24, respectively

The uniform distribution of X is given as:

X∼U(3,34)

This means that:

a = 3 and b = 34

The mean is calculated as:

[tex]\bar x = \frac{a + b}{2}[/tex]

So, we have:

[tex]\bar x = \frac{2 + 34}{2}[/tex]

[tex]\bar x = \frac{36}{2}[/tex]

Evaluate

[tex]\bar x = 18[/tex]

This is calculated as:

[tex]\sigma = \sqrt{\frac{(b - a)^2}{12}}[/tex]

Substitute known values

[tex]\sigma = \sqrt{\frac{(34 - 2)^2}{12}}[/tex]

Evaluate the exponent

[tex]\sigma = \sqrt{\frac{1024}{12}}[/tex]

Divide

[tex]\sigma = \sqrt{85.33}[/tex]

Evaluate the root

[tex]\sigma = 9.24[/tex]

Hence, the mean and standard deviation of X are 18 and 9.24, respectively

Read more about mean and standard deviation at:

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what is standard deviation round3d to one decimal place

Answer:

Yeah sure

Step-by-step explanation:

Answer:

Yes what is it?

Step-by-step explanation:

!ask a question

Answer: (All below)

Step-by-step explanation:

1. 2x + y = 10

2(3) + 4) = 10

6 + 4 = 10

2. 3x + 2y =

3(3) = 2(4) =

9 + 8 = 17

3. 3y + 2x = 18

3(4) + 2(3) = 18

12 + 6 = 18

4. 10x + 4y + 2x = 52

10(3) + 4(4) + 2(3) = 52

30 + 16 +6 = 52

46 + 6 = 52

5. 6y + 5x =39

6(4) + 5(3) = 39

24 + 15 = 39

6. 7x + 4y = 37

7(3) + 4(4) = 37

21 + 16 = 37

7. 2(x+4) + 10 = 28

2( 5 + 4) + 10 = 28

2(9) + 10 = 28

18 + 10 = 28

8. 3(4x) + 4 = 64

3(4(5)) + 4 = 64

3(20) + 4 = 64

60 + 4 = 64

9. 10(xy) = 300

10(5(6)) = 300

10(30) = 300

10. 2(x + y) = 22

2(5 + 6) = 22

2(11) = 22

11. 3(rs) + 4(x)

3(2(3)) + 4(5) =

3(6) + 20 =

18 + 20 = 38

12. 2(q) + 2(x + t) = 20

2(1) + 2(5 + 4) =  20

2 + 2(9) = 20

2 + 18 = 20

13. 6(3t + 4s) = 84

6(3(1) + 4(3)) = 84  

6(2 + 12) = 84

6(14) = 84

14. 10(10x) + 10y = 560

10(10(5)) + 10(6) = 560

10(50) + 60 = 560

500 + 60 = 560

15. x(xy) = 150

5(5(6)) = 150

5(30) = 150

16. r(s)(t) = 24

2(3(4)) = 24

2(12) = 24

17. (r)(s)(t)(x)(y) =720

(2)(3)(4)(5)(6)= 720

6(20)(6) = 720

120(6) = 720

18. 6(2x + 3Y) = 1080

6(2(5) + 3(6)) = 1080

6(10 + 18) = 1080

6(180) = 1080

Answer:

B - 2093 in cubed

Step-by-step explanation:

Use the formula 4/3 * pi * r^3 to find the volume of one basketball, using 5 as the radius. Next, multiply this number by 4 to find the volume of 4 basketballs. The answer should be option B.

Hopefully this helps- let me know if you have any questions!

Answer:V≈268.08

Step-by-step explanation:Volume of a sphere: V = (4/3)πr. times 4 equals V≈268.08. i think this is it!! i hope it works loe you have an amazing day:) -marina mae

height or altitude for a parallelogram means the perpendicular distance from one parallel side to the other.  Check the picture below.