Find the value of x. Leave your answer in simplest radical form.

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143[/tex]

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Find x so that m || n. Show your work.

Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.

Solve for x.

[tex]\sf{4x-23=2x+17}[/tex]

[tex]\sf{4x-2x-23=2x-2x+17}[/tex]

[tex]\sf{2x-23=17}[/tex]

[tex]\sf{2x-23+23=17+23}[/tex]

[tex]\sf{2x=40}[/tex]

[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]

[tex]\sf{x={\color{magenta}{20}}}[/tex]

#Hope it helps!

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Answer:

?????????????????????????

Answer:alternate exterior angles

Step-by-step explanation:

Since they’re on the outside of the parallel lines that makes them exterior

Answer:

7 5/8

Step-by-step explanation:

5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:

  x/3 = 7.5/4.5

  x = 3(7.5/4.5) . . . . multiply by 3

  x = 5

=========================================================

Explanation:

The order of the lettering is important because the order tells us how the letters pair up.

For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.

The congruences for the segments are then built up from the angles.

Answer:

Step-by-step explanation:

you have two disks, and one rectangle

area of the disk = π [tex]r^{2}[/tex]

47 π x 2 = 94 π (for the two disks....

rectangle area = L x W

width = 14

Length = 2*π*r = 14π

area = 14*14π = 196 π

total = 196 π + 94 π = 290 π

Answer:

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for the surface area of a cylinder is this :

[tex]A = 2\pi rh+2\pi r^{2}[/tex]

"R" is 7, and "h" is 14. Knowing these values, let's solve.

[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824

The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest! :)

Answer:

correct answer is c

Step-by-step explanation:

2.44x10^-3

Answer:

y = ½x -3

Step-by-step explanation:

_____________________

Answer:

[tex]H_o:\mu = 395000[/tex]

[tex]H_a:\mu < 395000[/tex]

Step-by-step explanation:

Given

[tex]\mu = 395000[/tex] -- mean price

Required

Determine the null and alternate hypotheses

From the question, we understand that the mean price is:

[tex]\mu = 395000[/tex]

This represents the null hypothesis

[tex]H_o:\mu = 395000[/tex]

The belief that the home prices are lower represents the alternate hypothesis

Lower means less than

So, the alternate hypothesis is:

[tex]H_a:\mu < 395000[/tex]

Answer:1 real solution

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2*x+2*3=x-4

2x+6=x-4

2x-x=-4-6

x=-10

Answer:

[tex]x = - 10[/tex]

Step-by-step explanation:

Let's solve:

[tex]2(x+3)=x−4[/tex]

Step 1: Simplify both sides of the equation.

[tex]2(x+3)=x−4 \\ (2)(x)+(2)(3)=x+−4(Distribute) \\ 2x+6=x+−4 \\ 2x+6=x−4[/tex]

Step 2: Subtract x from both sides.

[tex]2x+6−x=x−4−x \\ x+6=−4[/tex]

Step 3: Subtract 6 from both sides.

[tex]x+6−6=−4−6 \\ x=−10[/tex]

Answer: the required sample size =1658944

Step-by-step explanation:

When the prior population proportion for the study is unknown , then the formula for sample size is [tex]Sample \ size = 0.25(\dfrac{z^*}{Margin\ of \ error})^2[/tex]

z-value for 99% confidence = 2.576

[tex]Sample \ size = 0.25(\dfrac{2.576}{0.001})^2\\\\=0.25(2576)^2\\\\=1658944[/tex]

Hence, the required sample size =1658944

Answer:

C. [tex]\frac{}{AB}[/tex]

Step-by-step explanation:

You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in [tex]_[/tex][tex]\frac{}{AB}[/tex] means that we are talking about a line.

This is how we solve this question by using the eliminating process.

(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line

(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)

(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.

Therefore, the only option left is C. [tex]\frac{}{AB}[/tex]

Answer:

Sophie will get $3.18 back in change.

Step-by-step explanation:

You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.

Answer:

24

Step-by-step explanation:

Step-by-step explanation:

11. shape 1 => A = ½×17×10=85m²

shape 2=> A = 17×9 =153 m²

total area = 238 m²

12. shape 1 => A = 7×3= 21 m²

shape 2=> A = 3×2 = 6 m²

total area = 27 m²

9514 1404 393

Answer:

  7 1/75 football fields

Step-by-step explanation:

Multiply it out. The units of feet and yards cancel, leaving football fields.

  = (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields

  = 7 1/75 football fields

Translate: y - 46 > -184

Possible answer: y > - 138

Solution:

y - 46 > -184

= y > - 184 + 46

= y > - 138

#CarryOnLearning

The Possible answer of the given statement could be as y > - 138.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given information;  46 less than y is at least -184

To Translate: y - 46 > -184

WE can solve it as;

y - 46 > -184

y > - 184 + 46

y > - 138

Therefore, The Possible answer of the given statement could be as y > - 138.

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ5

Answer:

Step-by-step explanation:

For independent events,

P(AB)=P(A)orP(B)

= P(A)uP(B)

=P(A)×P(B)

= 0.55×0.72

P(AB)=0.396

Answer:

[tex]\frac{x}{y}[/tex]

Step-by-step explanation:

There you go.

Answer: The quotient of x is invisible number it can be any number depending of the equation

51

Step-by-step explanation:

uajdnensjdkalsnnamakksls

Answer:

f(x)= -25x+4

y-inter x=0

y= -25(0)+4

=4

x-inter y=0

0= -25x+4

-4= -25x

x=4/25

Answer:

A.// He has the side lengths in the wrong place in the cosine ratio.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.

Therefore, it's B ( false).

Answer:

A-10

B- -12

C-3.6

If you cant understand B is -12