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Using the binomial distribution, it is found that there is a [tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.

For each ball, there are only two possible outcomes, either it is hit or it is not. The probability of hitting a ball is independent of any other ball, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

The parameters are:

In this problem:

You win the big prize if you hit 4 balls, hence, the probability is P(X = 4).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.\left(\frac{1}{2}\right)^{4}.\left(\frac{1}{2}\right)^{0} = \frac{1}{16}[/tex]

[tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.

A similar problem is given at https://brainly.com/question/24863377

Answer:

1/16

Step-by-step explanation:

yurr

Answer

if there´s any answer choice, the answer is 1

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the range is pattern is -4

[tex]\text{The answer is}~ -4~ \text{because the relation is}~ y = -4x + (-6)[/tex]

Answer:

Step-by-step explanation:

Total surface consists of 2 right triangles and 3 rectangles.

Sum of their areas is the total surface area.

Area of 2 triangles:

Area of 3 rectangles:

Total surface area:

Answer:

Step-by-step explanation:

Answer:

I believe the answer is 5

Answer:

90 =3 × 3 × 5 × 2.

Step-by-step explanation:

............

Answer:

really to easy

so

x=35

w=81

t=70

c=151

Step-by-step explanation:

Answer:

Andie has 48 and Brian has 24

hope it's correct

Answer:

sorry I need points you understand I

Step-by-step explanation:

have -32 points

try it use your brain you can do it

Step-by-step explanation:

im not sure how to explain

Answer:

26

Step-by-step explanation:

130-20%=104

25% of 104 is=26

Answer:

39.29672   hehe

Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.

Hope this helps! :)

Answer:

64

Step-by-step explanation: I looked it up

Answer:

side MJ was 4 then it became 2 at side SP

side ML was 3 then it became 1.5 at side SR

side LK was 3 then it became 1.5 at side RQ

so we will divide 5 by 2 / 5÷2 = 2.5

The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

Given that,

The points A (3, -5) and A' (2, -3).

We have to determine,

The distance between point A and A'.

According  to the question,

The distance between two points is determined by using the distance formula.

[tex]\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2[/tex]

Then,

The distance between points A (3, -5) and A' (2, -3) is,

[tex]\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units[/tex]

Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

For more details refer to the link given below.

https://brainly.com/question/8069952

Answer:

13.6 units

Step-by-step explanation:

Edge

Answer:

x = 20, y = 10

Step-by-step explanation:

Triangle RTS is isosceles. You can tell because both of the base angles have the same measure. That means that RT must also be 15. Triangle UTR is equilateral because all 3 angles have the same measure. UT is x - 5 and is equal to RT which is 15, so x - 5 = 15, and x is 20.

Since triangle UTR is equilateral, angle URT is 60 degrees. Angle SRT is linear with angle URT, so angle SRT is 120 degrees. That means the other 2 angles must add to 60 degrees, making each one worth 30 degrees. Angle RTS says 3y, so 3y =30, and y = 10

Answer:

Taylor walked 35 minutes

Step-by-step explanation:

4:25

+:35

=5:00.

once a clock hits 60 it's automatically turned to the next hour so since 25 + 35 = 50 it's automatically turned to 5:00

Step-by-step explanation:

2⋅13⋅(3−9)−1⋅25(10−15)=⋅3−3⋅3−3(−3)−3

\frac{2 \cdot 1}{3} \cdot (3x-9y)-1 \cdot \frac{2}{5}(10x-15y)=a \cdot 3y-3xb \cdot 3x-3yc(-3)x-3y

Answer:

The value is [tex]\frac{1}{16384}[/tex]

Step-by-step explanation:

Here we need to find

[tex]\frac{x^{m+n}\cdot y^{n-m}}{x^{m-n}\cdot y^{n+m}}=x^{m+n-(m-n)}\cdot y^{n-m-(n+m)}\\\\=x^{2n}\cdot y^{-2m}\\\\=2^{2\cdot-1}\cdot 4^{-2\cdot3}\\\\=\frac{1}{2^2\times4^6} \\\\=\frac{1}{16384}[/tex]

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

Answer:

See below

Step-by-step explanation:

I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.

Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.

Hopefully, this explanation helps you to think of your discussion post!

Answer:

The retail price would be $93.6

Step-by-step explanation:

This is because you can divide 130 by 100 to find 1% of such, and you'll get 1.3. Then, multiply 1.3 by 72, which makes 72% of the original price, to come find your answer, $93.6. Hope this helps!

Answer:

  -3

Step-by-step explanation:

We can add -3x to put the equation into slope-intercept form.

  y = -3x +15

The gradient of the line (slope) is the coefficient of x: -3.

The gradient is -3.

Answer:

26.25

Step-by-step explanation:

26.25

Answer:

5 bags = $26.25.

Explanation

First, you need to find out how much $ it takes to buy ONE(1)  bag of cat food. To find out, you have to do 15.75  divided by 3 bags = $5.25.

Thats how much cash($) it takes to buy ONE(1) BAG. To buy FIVE(5) bags, you have to multiply 5.25 x 5 = $26.25.

If each bag of cat food is = $5.25 dollars each, how much dollars will he have to pay for 5 bags?

Situation

5.25 x 5 = 26.25

Answer:

f(x) is translated by 4 units left.

Step-by-step explanation:

did it help ?

well, hope it helps !

Answer:

58= 2x +12

each pass is 23 dollars

Step-by-step explanation:

let x represent the cost of the passes

58= 2x + 12

solve for x

58-12 = 2x +12 -12

46 = 2x

46/2 =2x/2

23 = x