Carolyn selected a tile randomly from the set shown below. What is the probability that she selected a white tile or a tile with an even number? Red tiles: 1, 2, 1, 3, 2, 3, 2, 4, 3, 1. Grey tiles: 2, 3, 1, 2, 3, 4, 1, 4, 1, 2. Blue tiles: 3, 2, 1, 3. Purple tiles: 1, 3, 4, 3, 4, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 4, 3, 3. Green tiles: 1, 1, 2, 3, 2, 1, 4, 3. Yellow tiles: 2, 4, 2. Black tiles: 1, 2, 1, 4, 3. White tiles: 1, 3. a. 8/15 b. 1/72 c. 1/4 d. 9/20

Answers

Answer 1

The probability that she selected a white tile or a tile with an even number will be 9/20.

How to calculate the probability?

The probability simply means the act of choosing an event based on the likely occurence.

In this case, the probability that she selected a white tile or a tile with an even number will be 9/20.

Therefore, the correct option is D.

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Related Questions

The sum of ages Kate and Gift is 38 years now.What was the sum of their ages five years ago​

Answers

Answer:

28

Step-by-step explanation:

Simple solution:

Each one was 5 years younger 5 years ago, so subtract 5 from 38 for each one.

38 - 5 - 5 = 28

The sum of their ages was 28.

Algebra solution:

Kate is x years old now.

Gift is y years old now.

The sum of their ages now is x + y.

The sum of their ages is 38, so x + y = 38.

5 years ago:

Kate was x - 5 years old.

Gift was y - 5 years old.

The sum of their ages 5 years ago was x - 5 + y - 5 = x + y - 10.

Substitute 38 for x + y.

The sum of their ages was 38 - 10 = 28

Greg walks 1/3 mile in 10 minutes

Answers

Answer:

Greg will walk 1 mile in 30 minutes, or 2 miles per hour.

Explanation:

Multiply the ratio of miles to minutes:

1/3 mi   :   10 min

1 mi      :    30 min

2 mi     :    1 hr

PLEASE HELP

Triangle not drawn to scale
Given: measure of angle A = 51 degrees, b = 12, and c = 8. What is the length of a to the nearest tenth?

Answers

Hello! Using the law of sines, it would be 4.0212 for side a, or just 4 since you wanted it rounded to the nearest tenth.

In the following exercises, multiply the binomials. Use any method.
266. (3rs − 7)(3rs − 4)

Answers

Answer:

Hence the expression [tex]$$(3rs-7)(3rs-4)=9r^2s^2-33rs+28$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (3rs-7)(3rs-4).We have to multiply the given expression.Multiply the (3rs-7) by -4, multiply the (3rs-7) by 3rs then add like terms.

[tex]$$\begin{matrix}{} & {} & {} & {} & 3rs & - & 7 \\ \times & {} & {} & {} & 3rs & - & 4 \\ \end{matrix}$$[/tex]

_________________

[tex]$$\begin{matrix}{} & {} & {} & - & 12rs & + & 28 \\ {} & {} & 9{{r}^2}{{s}^2} & - & 21rs & {} & {} \\ \end{matrix}$$[/tex]

________________

[tex]$$\begin{matrix}{} & {} & 9{{r}^2}{{s}^2} & - & 33rs & + & 28 \\ \end{matrix}$$[/tex]

26) Jenny drove 48 mph for 65 minutes. Which is true? a. Jenny drove exactly 48 miles b. Jenny drove more than 48 miles c. Jenny drove less than 48 miles​

Answers

Answer:

B- Jenny must have driven more than 48 miles.

Step-by-step explanation:

If Jenny rode for 60 at 48 mph, it would be exactly 48 miles. Though there is only 60 minutes in an hour, and Jenny rode 5 minutes longer than that, her drive being 65 minutes. To find how much she rode, 5 extra minutes into an hour would divide equally into 60, resulting in 12. Divide 48 by 12, and Jenny would have driven 4 miles in the 5 minutes drive after 60 minutes.

(Jenny basically driven 52 miles in 65 minutes).

Can someone help me out and show work please

Answers

Function.

The function is assigning to each element of one set exactly one element from the other set.

First table represent a function.

Second table not represent a function (for -1 are four different numbers).

Third table represent a function.

Fourth table not represent a function (for -6 are two differen numbers 5 and 9)

Given: x//y
w is a transversal of x and y.
Prove: ∠4 ≅ ∠5

Answers

3) Vertical angles are congruent.

4) Corresponding angles tehorem

5) Transitive property of congruence

Make sure your answer is in
degrees. You should be able to
find this without a calculator.
-1
12/1/= = [?]°
sin-1

Answers

Answer:

210° , 330°

Step-by-step explanation:

using the sides of the 30- 60- 90 triangle

with legs 1, [tex]\sqrt{3}[/tex] and hypotenuse 2 , then

[tex]sin^{-1}[/tex] [tex]\frac{1}{2}[/tex] = 30° ← related acute angle

since [tex]sin^{-1}[/tex] - [tex]\frac{1}{2}[/tex]

then angle is in third / fourth quadrants , then required angles are

180° + 30° = 210° ← in third quadrant

360° - 30° = 330° ← in fourth quadrant

Which property was applied to create this equivalent expression? 7 x (5 6 x) right-arrow (7 x 5) 6 x the commutative property only the associative property only the distributive property only both the commutative property and the associative property

Answers

Step-by-step explanation:

7×5×6×x

7×5×6×392

210×392

82320

The option (B) is correct. Associative property was applied to create the given expression.

Given expression is 7x+(5+6x) rightarrow (7x+5)+6x.

Firstly, check the given expression by commutative property.

The commutative property of addition is a+b=b+a and the commutative property of multiplication is a×b=b×a.

The commutative property didn't satisfy the given expression.

Now, check the given expression by associative property.

The associative property of addition is (a+b)+c=a+(b+c) and the commutative property of multiplication is (a×b)×c=a×(b×c).

The associative property of addition satisfy the given expression.

Further, check the given expression by distributive property.

The distributive property is a×(b+c)=ab+bc.

The distributive property didn't satisfy the given expression.

Hence, the given expression 7x+(5+6x) rightarrow (7x+5)+5x s created by the associative property.

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3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then rewrite it in the slope-intercept form.

Answers

Answer:

Point-slope form of equation given as [tex]$y-2=-2(x+2)$[/tex].

Slope-intercept form of equation is given as [tex]$y=-2 x-2$[/tex].

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, [tex]$x_{1}=-2$[/tex] and

[tex]$$y_{1}=2 \text {. }$$[/tex]

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by [tex]$y-y_{1}=m\left(x-x_{1}\right)$[/tex]

[tex]$$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$$[/tex]

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

[tex]$$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$$[/tex]

Hence, slope-intercept form of equation is given as y=-2x-2.

PLEASE HELP QUICK!!
Question 1: About 80% of the packages on a delivery truck are internet orders. The driver delivered 644 packages that were internet orders. About how many total packages did the driver deliver that day?

Question 2: A librarian estimated that 60% of the books in the local library were fiction. She counted 8556 fiction books. About how many books are in the local library?

Answers

The total packages the driver delivered is  805.

The total number of books in the local library is  14,260.

What is the total packages delivered?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Total packages delivered = total number of internet orders / percentage of internet orders

644 / 80%

644 / 0.8 = 805

Total number of books = total number of fiction books / percentage of fiction books

8556 / 60%

8556 / 0.6 = 14,260

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20 POINTS!!! PLEASE HELP
Find the logarithm base 10 of each number:


10


Please show work. Thanks!!

Answers

The logarithm of 10 to base 10 is 1

How to determine the logarithm?

The given parameters are:

Base = 10Number = 10

So, the logarithm expression can be represented as:

[tex]\log_{10}10[/tex]

The law of logarithm states that:

[tex]\log_{x}x = 1[/tex]

The above means that;

When the base and the number are the same, the logarithm is 1

So, we have:

[tex]\log_{10}10 = 1[/tex]

Hence, the logarithmic value is 1

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Let a=3/5 and let b=2/3. Compute a^2b^-3.

Answers

Answer: 81/100



Step-by-step explanation:

I don't guarantee you I am right but..

first, solve for the exponents after substituting the numbers in

3/5 x 3/5 is 9/25

since b's exponent is negative, you change the fraction into its reciprocal and then do it with the exponent but positive

2/3^-3 to 3/2^3 and 3/2 x 3/2 is 9/4

then you mutiply both numbers to get 9/4 x 9/25 is 81/100

Complete the following proof.

Given: SW is diameter of R

m = 30°

Prove: m RTW = 15°

Answers

Using the circle theorems, we have proven that m ∠RTW = 15°

Circle theorems

From the question, we are to prove that m ∠RTW = 15°

In the given diagram,

measure of arc ST = 30°

∴ m ∠SRT = 30°

m ∠SRT = ∠T + ∠W ( Exterior angle of a triangle equals the sum of the two remote angles)

Also,

∠T = ∠W (Radii of the same circle)

∴ m ∠SRT = ∠T + ∠T

m ∠SRT = 2 × ∠T

30° = 2 × ∠T

∠T = 30° /2

∠T = 15°

m ∠RTW = 15°  

Hence, we have proven that m ∠RTW = 15°

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What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 i?

Answers

The polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i is f(x) = x3 - 3x2 + 4x - 2.

Answer:

C

Step-by-step explanation:

on edge

The black graph is the graph of y= f(x). Choose the equation for the red graph.

Answers

answer is option C

here is your answer

mark as brilliant and like pls in my answer

if u want complete solution pls message me

The equation is c y=f(x-1)

(3,3p) and (4,p²+1) has gradient -1 find p​

Answers

[tex] \frac{p {}^{2} + 1 - 3p }{4 - 3} = -1[/tex]

[tex]p {}^{2} - 3p + 1 = -1[/tex]

[tex]p {}^{2} - 3p +2 = 0[/tex]

[tex](p-2)(p - 1) = 0[/tex]

[tex]p = 2 \: \: \: \: \: p = 1[/tex]

The graph below shows the solution set of a certain inequality. State one solution represented by the graph.

Answers

Answer:

(1,3)

Step-by-step explanation:

since they are open circles they will not have brackets instead they will have parentheses.

one answer for this number line (graph) is (1,3)

Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.

Answers

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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Select the correct answer.
This system of equations is shown on the graph:
2y - 4x = 6
y = 2x + 3

Answers

The equations are both the same with a slope of 2 and y-intercept of 3.

Solution to system of equation

A line is the distance between two points. Given the equations below;

2y - 4x = 6

y = 2x + 3

___________

y - 2x = 3

y = 2x + 3

The equations are both the same with a slope of 2 and y-intercept of 3. The graph of the equation is plotted below.

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Pls help me with my hw.
I'm having difficulty in adjusting bases.
find x, here e is natural logarithm.​

Answers

Answer:

See below

Step-by-step explanation:

7 + 15 e^(1-3x) = 10        start by subtracting 7 from both sides

15  e^(1-3x) = 3               now divide both sides by 15

e ^(1-3x) = .2                   now take the ln  of both sides

1-3x = -1.6094379          subtract 1 from both sides

-3x = = 2.6094379         divide both sides by -3

x = .869813

2 and 3/4 plus 3 and 2/4

Answers

Answer:

6 1/4

Step-by-step explanation:

ad 2 and 3 get 5 ad 3 and 2 get five now u have 5/4 uh oh the 4 is full

take 1 from the 5 over 4 and turn that one into 6 and turn the 4/4 to 1/4

boom 6 1/4

how to convert whole number as fraction​

Answers

To convert an integer to a fraction you must choose an expression that does not alter the numerical value. You can do this with multiples of the number, for example, for 100:

100/1 = 200/2 = 300/3 = 400/4 = 100

The numerical value is not altered and the result will always be 100

Another example, for 500:

500 = 500/1 = 1000/2 = 1500/3 = 2000/4

{ Pisces04 }

Answer:

Step-by-step explanation:I actually depends on what your solving like if you are solving a question is says solving 16 times a random fraction, you just simply add one under 16. And it will make it 16/1

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.03 cents per square centimeter. The top will be made of glued paper, costing 0.08 cents per square centimeter. Find the dimensions for the package that will minimize production cost.

Answers

The  dimensions of the microwave cup-of-soup package are:

Radius = 3.39cm, and Height = 9.27cm.

Computed using differentiation.

The microwave cup-of-soup package is in the shape of a cylinder.

Thus, its volume can be shown as, V = πr²h, where r is its radius in cm and h is its height in cm.

The volume is given to be 450 cm³.

Thus, we can say that,

πr²h = 450,

or, h = 450/(πr²) ... (i).

The cost of the microwaveable cup-of-soup package is given as:

The bottom is made of styrofoam at 0.03 cents/cm².

The area of the bottom = πr².

Therefore, the cost of the bottom = πr²(0.03) cents.

The side is made of styrofoam at the rate of 0.03 cents/cm².

The area of the side = 2πrh = 2πr{450/(πr²)}. {Taking h = 450/(πr²) from (i)}.

Therefore, the cost of the side = 2πr{450/(πr²)}(0.03) cents.

The top is made of glued paper at the rate of 0.08 cents/cm².

The area of the top = πr².

Therefore, the cost of the top = πr²(0.08) cents.

Therefore the total production cost function can be written as:

C = πr²(0.03) + 2πr{450/(πr²)}(0.03) + πr²(0.08) cents,

or, C = 0.03πr² + 0.08πr² + 27/r cents,

or, C = 0.11πr² + 27/r cents ... (ii).

We are asked to minimize the cost function.

To minimize it, we follow these steps:

Differentiating both sides in (ii) with respect to the radius,

dC/dr = 0.22πr - 27/r² ... (iii).

To get the points of inflections, we equate this to zero, to get,

dC/dr = 0.22πr - 27/r² = 0,

or, 0.22πr - 27/r² = 0,

or, 0.22πr = 27/r²,

or, r³ = 27/0.22π,

or, r = ∛(27/0.22π) = 3.393 cm.

To check whether the cost C, is minimum or maximum at the point, we calculate the second order differential, and if it's greater than 0, then we get a minimum and vice-versa.

Thus, differentiating both sides of (iii), with respect to the radius r, we get:

d²C/dr² = 0.22π + 54/r³.

0.22π + 54/r³ is greater than 0, for all values of r, since r is always greater than 0 {radius of an object cannot be negative}.

Thus, the radius at which the cost is minimized is 3.393 cm.

The corresponding height will be 450/(πr²) = 9.274 cm.

Thus, the dimensions of the microwave cup-of-soup package are:

Radius = 3.39cm, and Height = 9.27cm.

Computed using differentiation.

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Eisha swims 18 ft from one side of her circular pool to the other, swimming straight through the center. she then swims one time around the entire edge of her swimming pool.

Answers

Answer: 74.52 if the question is how far she swims

Step-by-step explanation:

The cube of the sum of a number and 3.

Answers

The answer is 3! You got this!

The word expression the cube of the sum of a number and 3 can be written as (x + 3)³ or x³ + 9x² + 27x + 27.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

Let x be the number:

The word expression is:

The cube of the sum of a number and 3.

The sum of a number x and 3 is:

x + 3

The cube of the number (x + 3)

= (x + 3)³

After expanding the cube of (a + b)

(a + b)³ = a³ + 3a²b + 3ab² + b³

Similarly,

(x + 3)³ = x³ + 3x²(3) + 3(x)(3)² + (3)³

(x + 3)³ = x³ + 9x² + 27x + 27

Thus, the word expression the cube of the sum of a number and 3 can be written as (x + 3)³ or x³ + 9x² + 27x + 27.

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if X+1/x = 4 find x-1/x

Answers

x+1=4x
1=3x
x=1/3

(1/3)-1/(1/3)
(-2/3)/(1/3)
-2

I need someone to solve this

Answers

The value of ? and X are 12 and 24 respectively

Similarity theorem of a triangle

A triangles is 2D shape with three sides and angles.

From the given diagram, the ratio of similar sides is equal to a constant as shown;

15/20 = 9+15/20+x

Cross multiply

15/9+15 = 20/20+x

15/24 = 20/20+x

Comparing with the given ratio

? = 24

X = 20+x

Find x

15(20+x) = 480

300 + 15x = 480

15x = 180

x =12

Fro the given expression

x/32 = 9/?

12/32 = 9/?

12 ? = 32 * 9

? = 24

Hence the value of ?and x from the given diagram is 12 and 24 respectively

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NEED HELP ASAP
what is the mode of the data
(A) 3
(B) no mode
(C) 17
(D) 40

QUESTION #2
what is the mean of the data

(A) 17
(B) 19.5
(C) 22
(D) 19
use the picture for both of these questions

Answers

3 I think and A I’m not sure but my best guess

Assume that all conditions are met. The mean of the differences was 1. 33 and the standard deviation of those differences was 2. 90. What is the test statistic for this procedure?.

Answers

The test statistic for this procedure is using two sample T-test is 0.458.

Definition of Two Sample T-test

A variation of the Student's t-test used to determine if two sample means are substantially different is known as the two sample T-test (also known as Welch's t-test, Welch's adjusted T, or unequal variances t-test). The test's degrees of freedom have been changed, which generally boosts the test's power for samples with unequal variance.

T-Test Statistic for The Procedure

It is given that mean of the differences = 1.33

And, the standard deviation of the differences, standard error = 2.90

The test static formula is given as,

t = (estimate - hypothized value) / standard error

Here,  t is the t- test statistic, and estimate is the mean of the differences.

Since it is given that all conditions are met, the hypothized value can be taken as 0

Substituting substituting estimate = 1.33 and standard error = 2.90 in the t-test statistic formula, we get,

t = (1.33-0)/2.90

or t = 0.458

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You have noticed that your friends are not making great health choices, and you are concerned for their well being. You decide that it is your duty to give them some health advice. Below write a simple paragraph in Spanish giving your friend some friendly health advice. Your paragraph should be at least 5-6 sentences.*Remember that I do not expect you to sound like a native speaker. Do NOT use a translator. A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0). The origin is the center of dilation. What is the scale factor of the dilation Aamir wants to add 894 and 76. He first adds 890 and 80. What should he do next to get the correct answer?O add 4O add 8O subtract 4O He has already calculated the correct answer in the first step what are the types of corruption Which of the following equations results in infinitely many solutions?7y + 15 - 2y = 7(y + 3)7y +3-2y = 5(y + 3)7y + 15 = 5(y + 3)7y + 15 - 2y = 5(y + 3) The ability to attract and manage _________may be the most important skill a strategic leader must have. which of the following is a true statement?A. Capitalists like Thomas Malthus believed poverty could be entirly eliminated from society.B. MArxists like David Ricardo argued that wages vary inversely with profitsC. Socialists like Adam Smith believed that competition typical of capitalism was wasteful.D. Socialists like Robert Owen favored a more even distribution of income. A ball is thrown straight up from the ground level, with an initial velocity of 34.3 m/s.34.3 m/s. How high is the ball thrown Renaissance artists used a technique called _________ to give paintings the appearance of depth and distance. her theUse the figure for exercises 13-14. Rewrite each sum using a single angle.13. mLLMN + mLNMP14. mLNMPmLOMPGiven that x = 3 + y and that -2y + 3 < -1, providereasons for each step in the following solution for x.STATEMENTS15. x = 3 + y and -2y + 3 < -116. x > y17. -2y 219. x > 215.16.17.18.19.REASONSM 1. The perimeter of a rectangular fram is 24 centimeters. It is 4 1/2 centimeters wide. How long is it? 21. Find the measure of angle A.402080160160 The ages and grades of some of the 19 girls on a club soccer team areshown in the table.O A.15 years old29th grade10th gradeWhich two-way frequency table correctly shows the marginal frequencies?9th grade10th grade16 years old01015 years 16 yearsoldold20710Total217 When your superior offers you a raise if you will perform additional work beyond the requirements of your job, he/she is exercising _____ power Which three events occur when a DNS request is processed?A. A local DNS server sends the IP address back to the requestingdevice for access.B. A local DNS server checks to see if it knows the IP address for thesite requested.C. A subdomain DNS server defines how data will be transferredover the internet.D. Top-level domain DNS servers look up the site and return the IPaddress. A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. four marbles from this jar are selected, with each marble being replaced after each selection. what is the standard deviation of x, the number of draws until the first red marble? 0.4852 0.9704 2.0770 1.5172 3. Write an expression that would help yousolve the problem below.Hunter cuts a 32 foot long piece of woodinto x pieces.How long is each piece of wood?Solve: How long is each piece of wood ifHunter cuts the original piece into 8pieces? States responsibilities include education and blank Identify two resources from home, school, or your community that could help you address your questions about family planning.1. Name the two resources and explain why each was chosen. (2 points)2. Describe the specific type of advice or support each resource could offer regarding choosing and obtaining a method of contraception. (2 points) line segment SU is a diameter at Circle V what is the measure of arc ST?