You are thrown 4 fastballs and you must hit them in a fair zone to count.
If you hit al 4 in a fair zone, you win the big prize
If you hit 3 or 2 in a fair zone, you win a medium size prize
If you hit 1 in the fair zone, you get the small prize
If you hit zero, you are not a winner and receive nothing
Hint Create a tree diagram to help calculate the probabilities.
What is the probability you will win the big prize?
O 1/5
O 3/32
none of the above
2/9
1/16

Answers

Answer 1

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:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

4 balls are thrown, hence [tex]n = 4[/tex]0.5 probability of hitting each of them, hence [tex]p = \frac{1}{2}[/tex]

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 2

Answer:

1/16

Step-by-step explanation:

yurr


Related Questions

Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?

Answers

Answer:

Camille's puppy gained weight the slowest, because her graph does not increase as rapidly as Amit's graph. The puppy's weight increases by .5 pounds every week.

Step-by-step explanation:

Write an equation in slope intercept form plz help

Answers

The slope-intercept form is [tex]y = mx + b[/tex]where m is the slope and b is the y-intercept.

The equation is already in slope-intercept form.

[tex]y = - x + 4[/tex]

Answer:

Step-by-step explanation:

Q8:

y= -x+4   (given)

Slope of given the line=-1

For required slope which is passing through (6,5):

Using Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

y-5=-1(x-6)    (m=-1 because lines are parallel)

y-5=-x+6

x+y-5-6=0

x+y-11=0

Q9:

y=-4x-7

slope of the given line:

m=-4

Slope of required line:

m=1/4

Using Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

y+1=1/4(x-8)

4y+4=x-8

x-4y-8-4=0

x-4y-12=0

Will give BRAINLIEST

Answers

Answer:

Quadrant 1 (1,5)

Step-by-step explanation:

The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.

Point T is in the upper right which is quadrant 1

Need help l don’t understand

Answers

Step-by-step explanation:

open brackets and work out

Answer:

x = 12

Step-by-step explanation:

9(x - 11) = 9 ( divide both sides by 9 )

x - 11 = 1 ( add 11 to both sides )

x = 12

Isabel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed?

Answers

Answer:

6.4 miles per hour

Step-by-step explanation:

Answer:

1.6m/h

Step-by-step explanation:

6.4/4=1.6m/h

aaaaaaaa

please someone can tell me what is
[tex]a {m \times a {n}^{?} }^{?} ]{?} [/tex]
in an index form?​

Answers

theres question marks where the exponent is supposed to go

HELP ASAP PLEASEEE What is the equation of the line in the form y=mx+b

Answers

Answer:

y=x

Step-by-step explanation:

y=mx+b

m is the slope

b is the y-intercept

Since the y-intercept is at the 0 axis, the y-intercept will be zero

So now the equation is looks like this:

y=mx (Since y=mx+0 doesn't make a difference)

Now find the slope

Which is 1

Thus y=x

Hope this helps!

simplify 1 and 1/6
j​

Answers

Answer:0/6

Step-by-step explanation:

0/6

h(t)=6 for 7 ≤ t ≤ 8

please i’m really struggling with this :((

Answers

Answer:

thn 6<7<8 is your answer

I need help and I can’t find any sadly. Help!!

Answers

Answer:

1. Given

2. Distributive Prop

3. Addition Prop

4. Division Prop

Step-by-step explanation:

What is f(-3) if f(x)= 1/3x


3
1
-1
-3

Answers

Answer:

-1

Step-by-step explanation:

1/3(-3) cancels the common factor of 3, which leaves the answer as -1.

The bearing of point Y from point X is 065°.
The bearing of point Z from point Y is 145º.
The bearing of point Z from point X is 105º.
Find the bearing of point X from point Z.

Answers

Answer:

285°

Step-by-step explanation:

You have probably learned bearing in geography and maybe even mathematics.

First off, skip the Y part since the answer you're looking for have nothing to do with it.

So, 180°+105°=285°

Those red-colored angles.. they have the same angle.

That's cause they're alternate angles and alternate angle are equal.

That arrow-like thing is to proove that they're parallel.

What is the volume of this figure?
A. 192 cm
B. 49 cm3
C. 343 cm3
D. None of the above

Answers

Explanation :-

Volume of a square box is equal to the cube of the length of the side of the square box. The formula for the volume is V = s³, where "s" is the length of the side of the square box.

[tex]\qquad[/tex]____________________

It’s given

Length of one side is = 7cm

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \purple{\bf\longrightarrow {Volume = 7^3} }[/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Volume =343\: cm^3}[/tex]

Hence, option C is the correct option!

Help me Please no bots I need help

Answers

Answer:

  y = 2/3x + 3/2

Step-by-step explanation:

18 inches is 3/2 feet. 8 inches is 2/3 feet.

The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.

  y = 2/3x + 3/2

Which table represents a nonlinear function?
X
у
X
y
-70
-11 22
-4 2
-6
12
2
6
1
--2
5
8
9
-18
х у
х
у
- 4 0
-38
-2
-3
0
5
-4
50
6
5
-3

Answers

Answer:

bottom left choice

Step-by-step explanation:

use desmo lol. but u can just find the slope of each one and see if it is linear or not. here is the pic:

note: a1, a2, a3, a4 is the top left one, b1, b2, b3 is the top right, c1, c2, c3 is the bottom left.

hope it helps. maybe u have to visualize the graph by connecting the points

the answer is the bottom left :)

What is the initial value of the equation shown?

y = −5x + 2

a
−5

b
−2

c
5

d
2

Answers

Answer:

Y = 2

Step-by-step explanation:

if you were looking for y's value

Type: five-tenths=

Pls answer correctly fact practice math .

Answers

Answer: 5-tenths= 5/10

Step-by-step explanation:

According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?

A 4 lakhs

B 43 lakhs

C 4 crores

D 43 crores

Answers

According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?

A 4 lakhs

B 43 lakhs

C 4 crores

D 43 crores

C 4 crores

Explaination :

2 - Unit place

3-tens place

9- hundred place

6 - thousand place

0- ten thousand place

4 - lakh place

3 - ten lakh place

4 - crore place

hence , closest approximation of this number is 4 crores.

Approximation of number is 4 crores.

What is Approximation?

Anything that is similar to something else but not exactly equal to it is an approximation. By rounding, a number can be approximated. By rounding the values contained within a calculation prior to performing the operations, it can be approximated.

Given census of a country is 43406932

Adjusting numbers to the closest 10, 100, 1,000

To rough to the closest ten, check out at the digit during the tens section.

Look at the digit in the hundreds column to approximate to the nearest hundred. Take a look at the digit in the thousands column to determine the nearest thousand.

so the number to the closest is crore

Hence the closest approximation of this number is 4 crores.

Learn more about approximation;

https://brainly.com/question/29669607

#SPJ2

here's another one ​

Answers

Answer:

Supplementary Angles

x = 62

Step-by-step explanation:

Supplementary angles equal 180.

180 - 118 = 62

I hope this helps!

53:24
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is
shown below.
The function is positive for all real values of x
where
x 1.1
6
27
O The function is negative for all real values of x
where
x <-3 and where x > 1
The function is positive for all real values of x
where
x > 0
The function is negative for all real values of x
where
X<-3 or x>-1
-6
4
2.
4
6
х
-2
-2
4
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

25

Step-by-step explanation:

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

C. San Francisco

Step-by-step explanation:

In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.

Answer:

San Fransisco

Step-by-step explanation:

Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.

bri bought a sweater for $7 for a 20% discount what was the original price?​

Answers

Answer:

$200

Step-by-step explanation:

20% =$40; Since 5x20%=100% just multiply 5x $40 to get the total (before discount) cost of $200

Use the quadratic formula to write a quadratic equation that has the solutions x=-4 ± 2/6.

Answers

Step-by-step explanation:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

Answer:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

Your piggy bank has $85 and each day you take out $3. You want to have at least $22 left in your piggy
bank. How many days did you take money from your piggy bank?

Answers

you’ll be able to take out $3 for 21 days

what is the equation of a line that passes through the points (0,0) and (5,2)

Answers

Answer:

y = 2/5x

Step-by-step explanation:

in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:

y = mx + 0

in order to find the slope, we'll do y2-y1 / x2 - x1:

2-0

5-0

m is 2/5, so the answer is:

y = 2/5x

need assistance with alegbra 2

Answers

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

f(x)=(x-2)^2+1

A drawing of a man is 4 inches high. The actual man is 64
inches tall. What is the scale factor for the drawing?

Answers

Answer:

Step-by-step explanation:

The scale factor is the ratio between the man's actual height and the height of the drawing.

Scale = 64/4 = 16

Answer:

1/16

Step-by-step explanation:

the actual man is 16 times bigger than drawing.

Jay decides to take out a $12,000 student loan during his first year in college. If he is charged 4.5% interest that is compounded annually, how much will the total loan amount equal in four years when he graduates?

Answers

Answer:

2,160.00

Step-by-step explanation:

okay so first we have to find 4.5% of 12,000

which is 540, then multiply 540 by the four years and

540 x 4 = 2,160.00

The total loan amount would be equal to $14,310 in four years when Jay graduates.

Given the following data:

Principal = $12,000Interest rate = 4.5%Time = 4 years

To determine how much (future value) the total loan amount would equal in four years when he graduates:

Mathematically, compound interest is given by the formula:

[tex]A = P(1 + r)^{t}[/tex]

Where;

A is the future value.P is the principal or amount borrowed.r is annual interest rate.t is the number of years for the compound interest.

Substituting the given parameters into the formula, we have;

[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]

Future value, A = $14,310

Read more: https://brainly.com/question/16992474

This month is October.Which month will 2451 months later be.

Answers

Answer:

The month will be October again lol :)

Step-by-step explanation:

Solve -2.5n + 8.7 > 5.45.

Answers

Answer:

Solved for n: n < 1.3

Step-by-step explanation:

Are there answer choices included?

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