At a game show, there are 7 people (including you and your friend) in the front
row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
There are 7C3 = 35 total ways to choose the 3 contestants.
What is the probability that you and your friend are both chosen?
ОА 2/3
O B.
3/35
OC.
2/35
O D.
5/35

Answer:

A) 1.84

Step-by-step explanation:

I just took the quiz

The standard error of the sampling size is 121 is 1.84

"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."

"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:

σx = σ / sqrt(n)."

Given,

Standard deviation of the sample is 20.2

and sample size is = 121

Standard error is = [tex]\sigma/\sqrt(n)[/tex]

i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84

Hence, option A is true.

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Answer:

Step-by-step explanation:

Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have

[tex]2^2=\sqrt{2}^2+b^2[/tex] and

[tex]4=2+b^2[/tex] so

[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]

Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so

[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then

[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]

Answer:

2 1/5

Step-by-step explanation:

4 3/5 - 2 2/5

I like to make them vertical

4 3/5

- 2 2/5

-----------------

2 1/5

Answer:

15

Step-by-step explanation:15

Answer:

A=44yd²

Step-by-step explanation:

Answer:

Hello! answer 9/1000

Step-by-step explanation:

All you have to do is multiply the probability of each then you will get your answer so...

6/20 × 4/20 × 3/20 = 9/1000 So thats your probability. Hope that helps!

Answer:

Clint would have to run 127 yards next game to average the same number of yards as Jack.

Step-by-step explanation:

First, we find the boys' averages by adding all their yards and then dividing by the number of games.

For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.

For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.

We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.

The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.

The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98

The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2

To make this average 98 let's say Clint's score in the next game is x.

Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98

(92.2 x 5 + x) = 98 x 6

x = 127

Hence"Clint needed to add 127 to be mean as same as Jack".

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Answer:

A x=18

Step-by-step explanation:

Answer:

(a) No solution

(b) Infinitely many solution

(c) No solution

(d) Infinitely many solution

Step-by-step explanation:

Solving (a):

[tex]2x + 10y = 9[/tex] --- (1)

[tex]3x + 15y = 13[/tex] --- (2)

Multiply (1) by 1.5

1.5 * [[tex]2x + 10y = 9[/tex]]

[tex]3x + 15y = 13.5[/tex] --- (3)

Subtract 2 and 3

[tex]3x - 3x + 15y - 15y = 13.5 - 13[/tex]

[tex]0 = 0.5[/tex]

The above is false; Hence, the system has no solution

Solving (b):

[tex]2x + 8y = 5[/tex] --- (1)

[tex]3x + 12y = 7.5[/tex] -- (2)

Multiply 1 by 1.5

1.5 * [[tex]2x + 8y = 5[/tex]]

[tex]3x + 12y = 7.5[/tex]

Subtract 2 and 3

[tex]3x - 3x + 12y - 12y = 7.5 - 7.5[/tex]

[tex]0 = 0[/tex]

The above implies that the system has infinitely many solutions

Solving (c):

[tex]y = 3 - x[/tex]

A second equation is required to solve for (c)

Solving (d):

[tex]5x - 8y = -1[/tex] --- (1)

[tex]-\frac{5}{2}x+ 4y = \frac{1}{2}[/tex] --- (2)

Multiply (2) by 2

[tex]-5x + 8y = 1[/tex] --- (3)

Add 1 and 3

[tex]5x - 5x -8y + 8y = -1 + 1[/tex]

[tex]0 = 0[/tex]

The above implies that the system has infinitely many solutions

A. True

In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.

9514 1404 393

Answer:

  x = (1/4) +(1/8)e^2

Step-by-step explanation:

Undo what is done to x.

  4ln(8x-2) +2 = 10

  4ln(8x -2) = 8 . . . . . . . subtract 2

  ln(8x -2) = 2 . . . . . . . . divide by 4

  8x -2 = e^2 . . . . . . . . . take antilogs

  8x = 2 +e^2 . . . . . . . . add 2

  x = (2 +e^2)/8 . . . . . .  divide by 8

  x = (1/4) +(1/8)e^2

Answer:

HL theorem

Step-by-step explanation:

since NP⊥OM, so, L H is a right angle.

and NM = OP as hypotenuse

HL theorem

NP is perpendicular to OM

NM =OP given

So the triangles are congruent

Answer: 44.064

Step-by-step explanation:

Answer:

44.064

thats the answer

Answer:

I would say 54 units (sorry if I'm wrong)

Answer:

5. 10 cm

6. 12 in

7. 5 mi

8. 13 cm

Step-by-step explanation:

5. 6² + 8² = x²

36 + 64 = x

36 + 64 = 100

√100 = 10

6. 15² - 9² = x²

225 - 81 = 144

√144 = 12

7. 3² + 4² = x²

9 + 16 = x

9 + 16 = 25

√25 = 5

8. 12² + 5² = x²

144 + 25 = x

144 + 25 = 169

√169 = 13

Answer:

disagree

Step-by-step explanation:

toa=opposit over adjacent= 12/9

tan(x)=12/9

tan^-1=12/9

x= 53.1

Answer:

Disagree

Step-by-step explanation:

x actually equals 53.13

9514 1404 393

Answer:

  0

Step-by-step explanation:

If a=b, you are asking for a whole number c such that ...

  c = √(a² +a²) = a√2

If 'a' is a whole number, the only whole numbers that satisfy this equation are ...

  c = 0 and a = 0.

  0 = 0×√2

The lowest whole number c such that c = √(a²+b²) and a=b=whole number is zero.

__

√2 is irrational, so there cannot be two non-zero whole numbers such that c/a=√2.

_____

Additional comment

If you allow 'a' to be irrational, then you can choose any value of 'c' that you like. Whole numbers begin at 0, so 0 is the lowest possible value of 'c'. If you don't like that one, you can choose c=1, which makes a=(√2)/2 ≈ 0.707, an irrational number. The problem statement here puts no restrictions on the values of 'a' and 'b'.

Answer: The histogram is skewered to the right (right-skewered)

Step-by-step explanation:

The peak veers to the left and the tail is towards the right.

The histogram given is right-skewed.

A histogram is a representation of the distribution of data with intervals.

We have,

Right-skewed and left-skewed are terms used to describe the shape of a data distribution.

A right-skewed (or positively skewed) distribution is one in which the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

A left-skewed (or negatively skewed) distribution is the opposite of a right-skewed distribution.

In this case, the tail on the left-hand side of the graph is longer or fatter than the tail on the right-hand side.

Now,

We see that the histogram given is right-skewed because the tail on the right-hand side of the graph is longer or fatter than the tail on the left-hand side.

Thus,

The histogram given is right-skewed.

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Answer:

2/B

Step-by-step explanation:

The base is 9 and the height is 4.

Answer:

50.965.01

Step-by-step explanation:

The answer would be A

Answer:

It would be A

Step-by-step explanation:

Once again the shape does not rotate or flip it stays the same but moves on the coordinate plane.

Answer:

Are there options to choose from?

Step-by-step explanation:

Answer: can you please list the choices that are in the drop down box

Step-by-step explanation:

Answer:

The shortcut would be 53 yards

Step-by-step explanation:

Because trigonometry

Answer:

13. A

14. B

15. C

16. B

17. C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

44 is closer to 40 than 50 because 44-40 = 4, 50-44=6 and 4<6

Answer:

Your answer would be 100! :)

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

1/2*1/2*1/2*1/2= [tex]\frac{1}{2} ^{4}[/tex]  Which is apparently none of these answers since it’ll be 1/16.

(Did you make a mistake with 5/16?)

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

I know it is not 4/48 because that’ll be 1/12.

I know it would not be 1/20736 because the number is too small.

I know it would not be 4/12 beacuse that’ll be 1/3

And Iast but now Ieast I know it wouldn’t be 5/16 because that cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

Answer:

21.6in^3

Step-by-step explanation:

\text{Volume of Pyramid:}

Volume of Pyramid:

V=\frac{1}{3}Bh

V=  

3

1

​  

Bh

Where B is the area of the base

\text{Perimeter of base}:

Perimeter of base:

\,\,10.4

10.4

\text{Side length of base}:

Side length of base:

\,\,\frac{10.4}{4}=2.6

4

10.4

​  

=2.6

Divide perimeter of square by 4 to get side length

\text{Area of base}:

Area of base:

\,\,2.6^2=6.76

2.6  

2

=6.76

Area of a square is s^2

B=

B=

\,\,6.76

6.76

h=

h=

\,\,9.6

9.6

given

V=

V=

\,\,\frac{1}{3}Bh

3

1

​  

Bh

V=

V=

\,\,\frac{1}{3}(6.76)(9.6)

3

1

​  

(6.76)(9.6)

Plug in

V=

V=

\,\,21.632

21.632

V\approx

V≈

\,\,21.6\text{ in}^3

21.6 in  

3