A bag contains 9 red marbles, 4 blue marbles, and 7 yellow marbles. You randomly select three marbles from the bag. a. What is the probability that all three marbles are red when you replace each marble before selecting the next marble? Round your answer to the nearest tenth. about % b. What is the probability that all three marbles are red when you do not replace each marble before selecting the next marble? Round your answer to the nearest tenth. about %

Answers

Answer 1

Answer:

A) 9.1%

B) 7.4%

Step-by-step explanation:

Part A

Because you are replacing each marble before selecting the next, the probability of choosing one red marble remains the same, so choosing 3 red marbles with replacement would mean the probability gets multiplied by itself 3 times:

[tex]\displaystyle P(\text{Red+Replace})=\biggr(\frac{9}{20}\biggr)^3=\frac{9}{20}*\frac{9}{20}*\frac{9}{20}=\frac{729}{8000}\approx9.1\%[/tex]

Part B

[tex]\displaystyle P(\text{Red+No Replace})=\frac{C(9,3)C(4,0)C(7,0)}{C(20,3)}=\frac{\frac{9!}{3!(9-3)!}}{\frac{20!}{3!(20-3)!}}=\frac{\frac{9*8*7}{3*2*1}}{\frac{20*19*18}{3*2*1}}=\frac{9*8*7}{20*19*18}=\frac{7}{95}\approx7.4\%[/tex]This can also be calculated with [tex]\frac{P(9,3)}{P(20,3)}[/tex] because the order does matter in which you pick the 3 red marbles with no replacement.

Answer 2

Answer:

9.1%

7.4%

Step-by-step explanation:


Related Questions

In the number 9.13 what is the value of the digit 3, written as a fraction?
3

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Answer:

potato paste recipe for the same recipe as it has made

Step-by-step explanation:

French fry

HELP ME PLEASE PLEASE I WILL GIVE BRAINLY

Answers

Answer:

Mizuki here to help! The recommended number of flowers is 32! Hi hanako-kun btw! Where is daikon legs-

Step-by-step explanation:

24 ÷ 12 = 2

16 x 2 = 32

Ritu had 6 time a number of tamp and Raj took twice the number from Ritu o that he ha a total of 24. Write the algebraic equation and find the root of the equation

Answers

The equation to find the root of the statement given in the question is , 12x = 2x - 24.

Let the number of tamp which Ritu have be x

Then the number of tamp which Raj have be 2x = 24

Now as Ritu has 6 times more than Raj , 6( 2x) = 24 x 6

Therefore, the required equation becomes,

12x = 2x - 24

=> 10x = 24

=> x = 2.4 answer.

An equation is a mathematical statement which is made up of constants , variables and operators. There are two parts of an equation which are equated using the equal sign . The right hand and the left hand side of the equation.

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Answerr if yk. No links or i will report tyy 3

Answers

Answer:

4

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

7+16+11+12+10+16= 72

72/6 = 12

how can you tell when a quadratic equation has one rational solution?​

Answers

Answer:

The discriminant equates to 0. (the expression underneath the square root sign will equal 0) This means that the curve will not cross the x-axis in two places.

Answer:

b²-4ac=0

Step-by-step explanation:

where

b²-4ac <0 it has no solution

b²-4ac >0 it has two solution

What do you call the angle measures 90 180 and 270?

Answers

An angle that measures 90 degrees is called a right angle, an angle that measures 180 degrees is called a straight angle and an angle that measures 270 degrees is called a reflex angle.

A right angle is an angle that measures exactly 90 degrees. It is formed by the intersection of two lines that are perpendicular to each other. A right angle is symbolized by a small square at the vertex of the angle.

A straight angle is an angle that measures exactly 180 degrees. It is formed by the intersection of two lines that are collinear, that is, they lie on the same line. A straight angle is represented by a straight line, usually with an arrow on one end pointing in the direction of the other end.

A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees. It is formed by the intersection of two lines that are not collinear, that is, they don't lie on the same line and the angle is greater than a straight angle. A reflex angle is represented by an arc with a curved arrow on one end, pointing in the direction of the other end.

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Please help me with these two questions

Answers

The expression for area of the rectangles are obtained as x² + 10x + 21 and  x² - 9x + 8 respectively. The correct options for both parts are (C) and (B) respectively.

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The dimension of both the rectangles are given as,

First rectangle : (x + 3) and (x + 7)

Second rectangle : (x - 1) and (x - 8)

Since, the area of a rectangle is product of its dimensions.

It can be obtained as,

Area of first rectangle is given as,

⇒ (x + 3) × (x + 7)

⇒ x² + 10x + 21

Area of second rectangle is given as,

⇒ (x - 1) × (x - 8)

⇒ x² - 9x + 8

Hence, the area of both the rectangles are obtained as  x² + 10x + 21 and  x² - 9x + 8 respectively.

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I really need help!! Find the value of..

Answers

Answer:488441

Step-by-step explanation:

Which of the following is not a descriptor of a normal distribution of a random variable? A. The graph of the distribution is symmetric B. The graph is centered around zero C. The graph of the distribution is bell-shaped. D. The graph is centered around the mean

Answers

A normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

What is a normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

Since all three of these variables are equal in a normal distribution, they serve as the center of the graph and can either be zero or not.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme.

The distribution's mean is another name for the center of the range.

Therefore, a normal distribution of a random variable cannot be described (D) by a graph that is centered on the mean.

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The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards, how much fencing does the city need to surround the park?

Answers

The length of the fencing that the city needs to surround the park will be 380.50 yards.

What is the area and perimeter of the rectangle?

Assume L is the length and W is the width. Then the area is given as,

A = L × W

And the perimeter is given as,

P = 2(L + W)

The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards. Then the length of the rectangular park is calculated as,

8925 = L × 84

L = 106.25 years

Then the length of the fencing that the city needs to surround the park will be given as,

P = 2(106.25 + 84)

P = 2 × 190.25

P = 380.5 yards

The length of the fencing that the city needs to surround the park will be 380.50 yards.

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Someone please help me!!! I need it ASAP!

Answers

the last one is the correct answer!! nothing that is dilated can be congruent to another triangle.

can someone tell me what xy^2 would be if x=10 and y= -3? thanks!

Answers

If it is (xy)^2= 900 and if it is xy^2=90
Because: x=10 and y= -3
(10^2 * (-3)^2 )= 100 * 9= 900
or
x=10, y= -3
(10* (-3)^2)= 10*9=90

Triangle J K L. Side J K is 5 inches and side J L is 10 inches.
Which could be the length of Side K L?
4 in.
9 in.
16 in.
19 in.

Answers

Answer:

9 in.

Step-by-step explanation:

the sum of two sides in a triangle is always longer than the 3rd side. so 9 is the only answer that fits this condition.

Use the given information in the triangle at the right to give the correct description of the
triangle.
( describe it in terms of angles and sides)

Answers

Answer:

Isosceles triangle.

Step-by-step explanation:

The first side of the given triangle = 6 units

The second side of the given triangle = 6 units

The third side of the given triangle = 9 units

In an isosceles triangle, two sides of a triangle are equal and if sides are equal they have the same angle at the base.

The given triangle is an isosceles triangle.

Reasoning Which of these is the best estimate for 225% of 50? greater than O but less than 1. 50 greater than 1-50 but less than 2. 50 greater than 2. 50 but less than 3. 50 greater than 3. 50​

Answers

The best estimate for 225% of 50 is (a) greater than O but less than 1. 50

What is another term for estimate?

The maximum likelihood method will be used to calculate the point estimate as follows:

T, note the total number of trials.

List the number of accomplishments, S.

MLE = S / T should be used. Your point estimate is the outcome. Prior to explaining a "formal" method of approximation by rounding each number in the calculation to one significant figure, students must first estimate the result of a computation, use a calculator to determine the precise result, then compare the two results. The most accurate estimate is a definite estimate, as it is created by estimating the individual expenses for the various aspects of the project and then combining them into one estimate. Typically, bottom-up estimates are classified under this heading.

The best estimate for 225% of 50 is

= (225*50)/100

= 11250/100

= 112.5

So that, The best estimate for 225% of 50 is (a) greater than O but less than 1. 50

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Rosita is waking at a uniform rate of 1 km per 10min. What is the distance she covered in 2 1/2 hours?

Answers

the answer is 15.
10x150(mins)= 15km

please help quickly +25pts
X, Y, and Z are collinear. Y is between X and Z.

XY = 12 and XZ = 14

YZ = ___ units

Answers

The value of YZ = 2 units.

What are collinear points?

The Latin words "col" and "linear" are combined to form the word "colinear." "Col" stands for "together," and "Linear" is a line. Collinear points are hence points that are situated along a single line. Numerous instances of collinearity can be observed in daily life, such as a line of pupils standing together.

Given X, Y, and Z are collinear. Y is between X and Z.

so XY + YZ = XZ

given XY = 12 units and XZ = 14 units

XY + YZ = XZ

12 + YZ = 14

YZ = 14 - 12

YZ = 2 units

Hence measure of YZ is 2 units.

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What are the coordinates of the image of ()4, 2after a rotation by 90counterclockwise about the origin followed by a reflection across the x-axis? Use the of the grid below is optional (although advised).
1. (4,-2)
2.(-2,-4)
3.(-4,-2)
4.(2,4)

Answers

Answer:

(2,4)

Step-by-step explanation:

give brainliest please

(a) Express tanθ in terms of secθ for θ in Quadrant II (b) Express secθ in terms of sinθ for θ in Quadrant III

Answers

a. The trigonometric ratio tanθ = -√(sec²θ - 1)

b. The trigonometric ratio secθ = -1/√(1 - sin²θ)

What are trigonometric ratios?

Trigonometric ratios are the following mathematical expressions sinθ, cosθ, tanθ,secθ,cosecθ and cotθ.

a. How to express tanθ in terms of secθ for θ in Quadrant II?

Since we want to express tanθ in terms of secθ in the second quadrant,using the trigonometric identity

tan²θ + 1 = sec²θ

Making tanθ subject of the formula, we have that

tan²θ = sec²θ - 1

tanθ = ±√(sec²θ - 1)

Since in Quadrant II, tanθ is negative, we choose the negative answer.

So, tanθ = -√(sec²θ - 1)

b. How to express secθ in terms of sinθ for θ in Quadrant II?

Since we want to express tanθ in terms of secθ in the second quadrant,using the trigonometric identity

secθ = 1/cosθ and

sin²θ + cos²θ = 1

Making cosθ subject of the formula, we have that

cos²θ = 1 - sin²θ

cosθ = ±√(1 - sin²θ)

So, secθ = 1/cosθ

= ±1/√(1 - sin²θ)

Since in Quadrant III, secθ is positive, we choose the positive answer.

So, secθ = -1/√(1 - sin²θ)

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I’m doing math homework and is about functions they said f(x)= x-3 and g(x)= √x-2

After I set them up I have this
am I supposed to just add the numbers or is there something else to do?

√ (x-3)-2

Answers

Answer: It looks like you are trying to find the value of the function h(x) = √ (x-3) - 2.

To find the value of this function for a given value of x, you need to substitute the value of x into the function definition and simplify the expression.

For example, if you want to find the value of h(x) for x = 5, you would substitute 5 for x in the function definition and simplify the expression to get:

h(5) = √(5-3) - 2

= √2 - 2

= 1.4 - 2

= -0.6

Therefore, the value of h(x) for x = 5 is -0.6.

You can follow this same process to find the value of h(x) for any other value of x. Just be sure to substitute the correct value of x into the function definition and simplify the expression to find the final result.

Step-by-step explanation:

Answer:

g[f(x)]

Step-by-step explanation:

Given functions:

[tex]f(x)=x-3[/tex]

[tex]g(x)=\sqrt{x}-2[/tex]

Composite functions are when the output of one function is used as the input of another.

Therefore, to create √(x-3)-2, substitute the function f(x) in place of the x in function g(x):

[tex]\begin{aligned}\implies g[f(x)]&=\sqrt{f(x)}-2\\&=\sqrt{x-3}-2\end{aligned}[/tex]

8. Find the measure of E in the trapezoid.

Answers

The measure of x = 5, in the given diagram of a trapezoid.

What is trapezoid?

A trapezoid is a four-sided shape with one parallel pair of sides. It is essentially a two-dimensional shape or figure similar to a square, rectangle, or parallelogram. As a result, this shape, like other shapes, has a perimeter and an area.

When two parallel lines are intersected by a transversal, the pair of interior angles on the same side of the transversal are supplementary.

Therefore, ∠D + ∠E = 180°

17x - 10 + 21x = 180°

38x − 10 = 180°

38x = 180° + 10

38x = 190

x = 190/38

x = 5

Thus, The measure of x = 5, in the given diagram of a trapezoid.

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Find the approximate value of each trigonometric function.
31
Given that tano 3.454 where << find the values of sine and cose. If necessary, round to 3
2
decimal places.
In Quadrant III, sino s
and cost

Answers

Answer:

Given

tanθ = 3.454θ is in the III quadrant

We know in the III quadrant both sine and cosine are negative.

Use the following identities to get values of sinθ and cos θ

sinθ = - tanθ/√(1 +tan²θ) cosθ = - 1/√(1 +tan²θ)

Substitute the value of tanθ and find sine and cosine:

sinθ = - 3.454/√(1 + 3.454²) = - 0.961cosθ = - 1/√(1 + 3.454²) = - 0.278

f (x) = -5x + 4
Graph of the function and find the domain and the range

Answers

Answer:

Range and Domain= all real numbers

positive infinity to negative infinity

Step-by-step explanation:

I need help solving this

Answers

Answer:

the correct answer is 302cm²

Answer:

[tex]232 ~cm^2[/tex]

Step-by-step explanation:

[tex]2(8*10)+2(2*10)+2(8*2)=[/tex]

[tex]2*80+2*20+2*16=[/tex]

[tex]160+40+32=[/tex]

[tex]232[/tex]

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

hope it helps...

have a great day!!

Charles and wilma have diffrent internet providers. Charles pays $0. 25 per gigabyte of data. Wilma pays a flat fee of $20 and $0. 05 per gigabyte How many gigabytes of data must each use for charles internet bill to be equal to wilma's interet bill

Answers

100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

What is the Intercept of the equations?

Assume that there are x gigabytes of data.

The equation for Charles is y = 0.25x since he pays $0.25 for each gigabyte of data.

The calculation for Wilma is y = 0.05x + 20 because she pays a flat rate of $20 and $0.05 per gigabyte.

Charles must pay the same amount for internet service as Wilma, so;

0.25x = 0.05x + 20

0.2x = 20

x = 20/0.2

x = 100

Hence, 100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

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What does B mean in texting to a girl?

Answers

B typically stands for "Be" in texting. Depending on the context, it could mean different things. For example, it could mean "Be mine" or "Be mine forever" when expressing affection for a girl. It could also mean "Be safe" when wishing someone well.

1. B is a commonly used acronym in texting.

2. It typically stands for the word "Be".

3. Depending on the context, it could mean different things such as expressing affection for a girl or wishing someone well.

B is an acronym commonly used in texting that typically stands for the word "Be" and can have different meanings depending on the context.

B typically stands for "Be" in texting. Depending on the context, it could mean different things. For example, it could mean "Be mine" or "Be mine forever" when expressing affection for a girl. It could also mean "Be safe" when wishing someone well.

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Find the value of x.
2x-8
6

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent.

[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]

How does graph y=-3(x+1)2 -1 transforms from the parent function y=x^2?


Answers

Given:

The function is:

[tex]y=-3(x+1)^2-1[/tex]

The parent function is:

[tex]y=x^2[/tex]

To find:

The transformation of the given function from the parent function.

Solution:

The transformation of a function is given by:

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph of f(x) is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given function can be written as is:

[tex]g(x)=-3(x+1)^2-1[/tex]

Let the parent function be [tex]f(x)=x^2[/tex], then

[tex]g(x)=-3f(x+1)-1[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]k=-3,a=1,b=-1[/tex]

Therefore, the graph of parent function is stretched vertically by by factor 3 and reflected across the x-axis because [tex]k=-3[/tex], after that the graph of the function shifts 1 unit left and 1 unit down to get the graph of given function.

Use the commutative property to create equivalent expressions. Which expressions are equivalent to 2.2t + 3.5 + 9.8? Check all that apply.
3.5 + 2.2t + 9.8
3 + 2t + 9
2.2 + 3.5 + 9.8t
9.8 + 3.5 + 2.2t
2.2t + 9.8 + 3.5
2.2t + 35.98
hurry plz

Answers

Answer:

A D and E

Step-by-step explanation:

I did it on e2020 and it was right

Answer:

The correct answers are:

A: 3.5 + 2.2t + 9.8

D: 9.8 + 3.5 + 2.2t

E: 2.2t + 9.8 + 3.5

Step-by-step explanation:

Hope this helps!

Select all graphs that represents a function

Answers

The bottom one

That should be correct!!!
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