The captain of the baseball team hit a homerun 1 out of every 6 at-bats. What is the probability that the captain will hit a homerun on his next 2 at-bats?


Determine which simulation models the situation. Select Yes if the simulation can be used to model the situation or No if the simulation cannot be used to model the situation.


Yes No


OO


Using a six-sided number cube to model the situation, assign the number 1 to represent the captain hitting a homerun and the number 2 to represent not hitting a homerun.


Using a stre-sided number cube to model the situation, assign the number 1 to represent the captain hitting a homerun and the numbers 2 to 6 to represent not hitting a homerun


Using a coin flip to model the situation, assign heads to represent the captain hitting a homerun and tails for not hitting a homerun


O


Using a random number generator between 1 and 60 to model the situation, assign the numbers 1 to 10 to represent the captain hitting a homerun and the numbers 11 to 60 to represent not hitting a homerun.

Based on the given options, both 3,4,5,6 and 3,4,5,6i could be the complete list of roots for a fourth-degree polynomial. So option 1 and 2 are correct answer.

A fourth-degree polynomial function can have up to four distinct roots. The given options are:

Therefore, both options 1 and 2 could be the complete list of roots for a fourth-degree polynomial.

The question should be:

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)

1. 3,4,5,6

2. 3,4,5,6i

3. 3,4,4+i\(\sqrt{6}\)

4. 3,4,5+i, 5+i, -5+i

To learn more about fourth degree polynomial: https://brainly.com/question/25827330

#SPJ11

the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Learn more about asymptotes, by the following link.

brainly.com/question/4138300

#SPJ1

The probability that EXACTLY three round of tosses are made is given as follows:

0.046875 = 4.6875%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Ann odd person is when a person has a different coin than the others, and the probability of no odd person is of:

Hence:

2 x 0.125 = 0.25.

Hence the probability of three round tosses is:

Hence the probability is of:

p = 0.25 x 0.25 x 0.75

p = 0.046875.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Answer:

First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.

When specializing in the goods they have a comparative advantage in, you will produce 36 pounds of apples and your neighbor will produce 16 pounds of cherries. After trading half of your production for half of your neighbor's, you will end up consuming 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples.

To find the production levels when specializing, we need to identify the goods each party has a comparative advantage in. You produce 72 pounds of apples and 12 pounds of cherries when focusing solely on each good, while your neighbor produces 32 pounds of both apples and cherries. You have a comparative advantage in apples since you can produce 6 times more apples than cherries (72 apples vs. 12 cherries) while your neighbor can only produce twice as many apples as cherries (32 apples vs. 16 cherries).

Thus, you will specialize in apple picking, and your neighbor will specialize in cherry picking. As a result, you will produce 36 pounds of apples, and your neighbor will produce 16 pounds of cherries. After trading, you both end up with half of each other's production. You will consume 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples. This specialization and trade allow both of you to enjoy a more diverse consumption bundle and increase overall welfare.

Learn more about pounds here:

https://brainly.com/question/29173298

#SPJ11

Answer:

D

Step-by-step explanation:

It's the most logical of them all, it can't be A, it wouldn't make sense if it's C, and for D it says 6 if -5<x<-1 and it has the little line on 6 for y, it sounds a little complicated but that's my logic

Answer: 3 hours

Step-by-step explanation:

Divide 135 by 45

Answer:

\(y=(x-3)^{2}\)

Step-by-step explanation:

First, it should be noted that the parabola shown is just the parent parabola translated over 3 units to the right. To shift the parent parabola over to the right 3 units, we need to square x-3. So, the equation for the parabola shown is \(y=(x-3)^{2}\).

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

down....

Step-by-step explanation:

-1.231807859542612e+17

Answer: 5

Step-by-step explanation:

Answer: 2 solve this equation to find all possible values of the angle 3x.

Step-by-step explanation: just took test

We solve cos(3x) = -1 using the inverse cosine function. The simplest solution is x = π/3. Accounting for the periodicity of the cosine function, we find additional solutions in the interval from 0 to 2π, specifically x = π/3 and x = 4π/3.

In order to solve the equation cos(3x) = -1, we need to use inverse trigonometric equations and some algebraic manipulation.

https://brainly.com/question/32300784

#SPJ2

Answer:

18x+5

Step-by-step explanation:

Rhe perimeter of a triangle is the sum of its three sides which here are (6x-3), (5x+6), (7x+2).

So we add them all up, 6x-3+5x+6+7x+2=18x+5

The formula for nCr contains the same numerator as the formula for nPr but contains an extra factor of​ r! in the denominator.

In mathematics, the factorial of a non-negative integer n, represented by n! exists as the product of all positive integers less than or equal to n. The factorial of n even equals the product of n with the next less factorial:

Combinations exist as a method to estimate the total outcomes of an event where the order of the outcomes does not matter.

nCr = n! / r! \(*\) (n - r)!

where n denotes the total number of items, and r denotes the number of items being chosen at a time.

The term permutation directs to a mathematical analysis of the number of ways a particular set can be arranged. Put simply, a permutation exists as a term that defines the number of ways things can be collected or arranged.

nPr = n! / (n - r)!

Therefore, the correct answer is r!.

To learn more about factorials refer to:

https://brainly.com/question/25997932

#SPJ4

The complete question is:

The formula for nCr has the same numerator as the formula for nPr but contains an extra factor of​ _____ in the denominator.

The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

Learn more about "standard deviation":

https://brainly.com/question/475676

#SPJ11

Answer:

8 liters

Step-by-step explanation:

because after pouring 2 liters bucket was full so we wiil minus 2 from 10

Answer:

8 + x = 10

x. = 10 - 8

x. = 2 liters

Answer:

89

Step-by-step explanation:

The sum of the angles in a triangle is always 180 degrees. So if you add 50 and 41 together, you get 91. 190-91= 89 degrees.

Answer:

Step-by-step explanation:

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​,

(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)

Answer:

the answer is D

hope this helpful

Answer:

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

Find the midpoint of the segment and its slope to determine the perpendicular line passing through the midpoint.

The midpoint has coordinates:

The slope:

We know perpendicular lines have opposite/reciprocal slopes.

So the slope of the perpendicular bisector is:

Use the coordinates of the midpoint and point-slope equation to determine the line:

Answer:

\(y=-\dfrac{5}{2}x+9\)

Step-by-step explanation:

A perpendicular bisector is a line that intersects another line segment perpendicularly and divides it into two equal parts.

Given endpoints of the line segment:

Substitute the given endpoints into the slope formula to find the slope of the line segment:

\(\implies \textsf{Slope $m$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{7-(-3)}=\dfrac{4}{10}=\dfrac{2}{5}\)

If two lines are perpendicular to each other, their slopes are negative reciprocals.  

Therefore, the slope of the perpendicular line is -⁵/₂.

Find the midpoint of the given line segment by substituting the given endpoints into the midpoint formula:

\(\implies \textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\)

\(\implies \textsf{Midpoint}=\left(\dfrac{7-3}{2},\dfrac{6+2}{2}\right)\)

\(\implies \textsf{Midpoint}=\left(\dfrac{4}{2},\dfrac{8}{2}\right)\)

\(\implies \textsf{Midpoint}=\left(2,4\right)\)

To find the equation of the perpendicular bisector, substitute the found slope and midpoint into the point-slope form of a linear equation:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-4=-\dfrac{5}{2}(x-2)\)

\(\implies y-4=-\dfrac{5}{2}x+5\)

\(\implies y=-\dfrac{5}{2}x+9\)

Therefore, the equation for the perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is:

\(\boxed{y=-\dfrac{5}{2}x+9}\)

If Kelly's last quiz scores were 79, 89, 86, and 93, then her next score needs to be at least 94 to obtain an average that is more than 88.

To find Kelly's next score to obtain an average that is more than 88, follow these steps:

Learn more about  average:

brainly.com/question/18554478

#SPJ11

The probability that the first drawing gives green ball and second drawing a red ball is 2/7

Number of green balls = 4 green balls

Number of red balls = 4 red balls

Total number of balls in the bag = 4 + 4

= 8 balls

The probability = Number of favorable outcomes / Total number of outcomes

The probability of getting green balls in first draw = 4 / 8

= 1/2

First ball drawn was not replaced before drawing the second one

The probability of getting red ball in second draw = 4 / 7

The probability that the first drawing gives green ball and second drawing a red ball = (4/8) × (4/7)

= 2/7

Hence, the  probability that the first drawing gives green ball and second drawing a red ball is 2/7

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Let's solve your equation step-by-step.

13(8x−5)−4=−3

Step 1: Simplify both sides of the equation.

13(8x−5)−4=−3

(13)(8x)+(13)(−5)+−4=−3 (Distribute)

83x+−53+−4=−3

(83x)+(−53+−4)=−3 (Combine Like Terms)

83x+−173=−3

83x+−173=−3

Step 2: Add 17/3 to both sides.

83x+−173+173=−3+173

83x=83

Step 3: Multiply both sides by 3/8.

(38)*(83x)=(38)*(83)

X = 1

Answer: x = 1

Step-by-step explanation

Answer:

1. 3x² - 75y² = 3(x+5y)(x-5y)

2. 4x³y⁸ + 6x⁴y² + 10x⁵ y¹⁰ = 2x³y²(2y⁶+3x+5x²y⁸)

3. x⁸ - 1 = (x⁴+1) (x²+1) (x+1) (x-1)

4. 64a³ m² - 216 m⁵ = 8m²(2a-3m) (4a²+ 6am+9m²)

5. 2x³+ 54y³ = 2 (x+3y) (x²-3xy+9y²)

I hope I helped you^_^

The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

Learn more about Trigonometry here:

https://brainly.com/question/12068045

#SPJ1

The value of the definite integral of f(x) over the interval [10, 12] is approximately 1.899.

To integrate f(x) = 1² - √x over the interval [10, 12], we can use the definite integral formula:

∫[a,b] f(x) dx = [F(b) - F(a)]

where;

First, let's find the antiderivative of f(x):

∫(1² - √x) dx = ∫1 dx - ∫√x dx

= \(x - \frac{2}{3} x^{3/2} + C\)

where;

Now, we can evaluate the definite integral over [10, 12]:

[F(12) - F(10)] = [(12 - (2/3)(12)^(3/2)) - (10 - (2/3)(10)^(3/2))]

= [12 - (2/3)(12)^(3/2) - 10 + (2/3)(10)^(3/2)]

≈ 1.899

Learn more about integration here: https://brainly.com/question/30215870

#SPJ1

The complete question is below:

integrate f(x) = 1² - √x, over the interval [10, 12].

Answer:

See below

Step-by-step explanation:

Square objects have four sides of equal length

so the perimeter of the drawing will be   4 * 2.5 = 10 inches

  area of drawing = 2.5 x 2.5 = 6.25 in^2

the actual object will have side lengths

       2.5 in  / 1 inch/ 5mm = 12.5 mm

   four sides each 12. 5 mm = 50 mm

      area of object = 12.5 x 12.5 = 156.25 mm^2

The probability that it rains at least one of the days is 40%.

Given data :

Let D1 = the event that it will rain on today

D2 = the event that it will rain on tomorrow.

P(D1) = 40% = 0.4

P(D2) = 40% = 0.4

The general probability formula can be expressed as: Probability = Number of Favorable Outcomes / Total Number of Outcomes. or. P(A) = f / N.

P(D1) + P(D2) / 2 = 0.4 + 0.4 = 0.8 / 2 = 0.4 = 40%

Learn more about Probability refer to :

https://brainly.com/question/24756209

#SPJ4

.

Answer: Each hamburger cost $3.50

Step-by-step explanation:

He spent $13 in total and bought one hot dog for $2.50  and 3 hamburgers but we don't know the price of one hamburger so we could represent it by the equation,

2.50 + 3h = 13   Now solve for x

-2.50            2.50

  3h = 10.50

 h = 3.50  

Check:

2.50 + 3(3.50) = 13

2.50 + 10.50 = 13

13=  13

We have

Answer:

C. 180-degree rotation counterclockwise followed by a translation of 5 units to the left

Step-by-step explanation:

Answer:

180° counterclockwise rotation about the origin followed by a translation 5units left

Step-by-step explanation:

Rule for 180° counterclockwise rotation is

Take any point to prove

let it be A

Rotate

Translate 5 units left(change in x)

Yes verified