7. Jackie has one red pencil, one yellow pencil, one blue pencil,
one green pencil, one orange pencil, and one purple pencil. She
also has one red pen, one blue pen, and one black pen. If Jackie
randomly selects one pencil and one pen, what is the probability
that she will select a purple pencil and a black pen in that order?

Answers

Answer 1

Answer:

I believe it is 1/6 for the pencil and 1/3 for the pen. Altogether, 2/9.

Step-by-step explanation:

There is 1 purple pencil out of 6 and 1 black pen out of 3.

Answer 2

Using probability of independent events, it is found that there is a [tex]\frac{1}{15}[/tex] probability  that she will select a purple pencil and a black pen in that order.

A probability is the number of desired outcomes divided by the number of total outcomes.

If two events, A and B, are independent, the probability of both happening is the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question:

The pencil and the pen are independent.One of the five pencils are purple, thus [tex]P(A) = \frac{1}{5}[/tex].One of the three pens are black, thus [tex]P(B) = \frac{1}{3}[/tex].

The probability is:

[tex]P(A \cap B) = P(A)P(B) = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15}[/tex]

[tex]\frac{1}{15}[/tex] probability  that she will select a purple pencil and a black pen in that order.

A similar problem is given at https://brainly.com/question/23855473


Related Questions

PLZ HELP ME!!!!!!!!!!!!!!

Answers

Answer:

It's B. 1/6^9

Step-by-step explanation:

It is simplified to 6^-9 which is equal to 1/6^9.

Brainist and 40 pt please help
And show your work

Answers

Answer:

n > 2

Step-by-step explanation:

-10 − -3n > -4

-10 + 3n > -4

3n > 6

n > 2

Check our answer: if n = 3:

-10 − -3(3)

-10 − -9

-10 + 9

-1

-1 > -4

-10 - (-3n) > -4 ---> -10 + 3n > -4

^^^^ -3n became positive because a negative times a negative gives a positive

Step 1: Combine like terms

normal numbers go with normal numbers. This would be -10 and -4. To get -10 to the right side of the inequality you must add 10 to both sides

(-10 + 10) + 3n > (-4 + 10)

(0) + 3n > 6

3n > 6

Step 2: Isolate n by dividing 3 to both sides of the inequality

[tex]\frac{3n}{3} > \frac{6}{3}[/tex]

n > 2

Hope this helped!

The difference of the same side interior angles of two parallel lines is 50°. Find all angles.

Answers

Answer:

The angles are 65° and 115°

Step-by-step explanation:

Let

x,y ----> the two side interior angles of two parallel lines

we know that

x+y=180° ----> equation A

x-y=50° ----> equation B

Adds equation A and equation B

x+x=180°-50°

2x=130°

x=65°

Find the value of y

x+y=180° -----> 65°+y=180° ----> y=180°-65°=115°

therefore

The angles are 65° and 115°

Simplify the expression

Answers

Answer:

the answer is c

Step-by-step explanation:

Need help with this question any help would be very appreciated

Answers

Answer:

Between A and B : Decreasing

Between B and C : Increasing

Between C and D : Decreasing

Between D and E : Constant

Step-by-step explanation:

If graph goes downward between two points then it indicates function is decreasing.

If graph goes upward between two points then it indicates function is increasing.

If graph goes parallel to the x-axis between two points then it indicates function is constant.

Then final answer is given by:

Between A and B : Decreasing

Between B and C : Increasing

Between C and D : Decreasing

Between D and E : Constant

I PROMISE BRINLIEST THIS IS VERY EASY I JUST DON'T KNOW!!!!!!!!!! Simplify the polynomial
3x2 + 5x – 5x2 – 4x + 5 – 2

A.)–8x2 – 9x + 3
B.)2x2 + x + 3
C.)–2x2– 9x + 3
D.)–2x2 + x + 3

Answers

Answer:

x-1

Step-by-step explanation:

(3)(2)+5x-(5)(2)-4x+5-2

=6+5x-10-4x+5-2

=x-1

Answer:

-2x2+x+3

Step-by-step explanation:

you have to combine like terms

-5x2+ 3x2= -2x2

5x-(-4x)= x

5-2=3

-2x2+x+3

[02.05] Solve for x: 3 − (2x − 5) < −4(x + 2) x < −8 x > −8 x < −3 x > −3

Answers

ANSWER

[tex]x \: < \: - 8[/tex]

EXPLANATION

The given inequality is

[tex]3 - (2x - 5) \: < \: - 4(x + 2)[/tex]

Expand:

[tex]3 - 2x + 5 \: < \: - 4x - 8[/tex]

Group similar terms, to obtain:

[tex] - 2x + 4x\: < \: - 8 - 5 - 3[/tex]

Combine similar terms:

[tex]2x\: < \: - 16[/tex]

Divide both sides by 2 to get,

[tex]x \: < \: - 8[/tex]

Y’all answer this question

Answers

ANSWER

[tex]x = 11[/tex]

EXPLANATION

According to the exterior angle theorem, the sum of remote interior angles equal an exterior angle.

This implies that,

[tex](7x + 7) \degree + 66 \degree =(1 2x + 18) \degree[/tex]

We group the similar terms to get:

[tex]7 + 66 - 18 = 12x - 7x[/tex]

[tex]55= 5x[/tex]

Divide both sides by 5.

[tex]x = \frac{55}{5} [/tex]

[tex]x = 11[/tex]

The center of a circle represented by the equation (x − 5)2 + (y + 6)2 = 42 is

Answers

Answer:

(5,-6)

Step-by-step explanation:

When you write the equation of a circle in the form

[tex](x-x_0)^2+(y-y_0)^2=r^2[/tex]

Then the center of the circle will be [tex](x_0,y_0)[/tex] and the radius will be [tex]r[/tex].

Answer:  The center of the given circle is (5, -6).

Step-by-step explanation:  We are given to find the center of the circle represented by the following equation :

[tex](x-5)^2+(y+6)^2-4^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

the STANDARD equation of a circle with center (h, k) and radius r units is given by

[tex](x-h)^2+(y-k)^2=r^2.[/tex]

From equation (i), we have

[tex](x-5)^2+(y+6)^2=4^2\\\\\Rightarrow (x-5)^2+(y-(-6))^2=4^2.[/tex]

Comparing with the standard form, we get that the center of the given circle is (h, k) = (5, -6).

Thus, the center of the given circle is (5, -6).

Billy has swimming lessons on every 3rd day and piano lessons every 12th day when will he have both on the same day​

Answers

on the twelfth day because 3-6-9-12 and 12

Billy will have both swimming and piano lessons on the same day every 12th day.

To determine when Billy will have both swimming and piano lessons on the same day, we need to find the least common multiple (LCM) of the two schedules. Billy has swimming lessons every 3rd day and piano lessons every 12th day.

The LCM of 3 and 12 is the smallest number that both 3 and 12 can divide into without leaving a remainder. The prime factorization of 12 is [tex](2^2 \times 3\))[/tex], and the prime factorization of 3 is simply 3 . To find the LCM, we take the highest powers of all prime factors that appear in the factorization of both numbers:

For 3: [tex]\(3^1\)[/tex]

For 12: [tex]\(2^2 \times 3^1\)[/tex]

The LCM is [tex]\(2^2 \times 3^1 = 4 \times 3 = 12\)[/tex].

Since the LCM of 3 and 12 is 12, Billy will have both lessons on the same day every 12th day. This is because every 12th day is a day when both his 3-day swimming lesson cycle and his 12-day piano lesson cycle align.

Write an equation that represents a vertical translation 7 units down of the graph of g(x) = 21.
h(x) -

Answers

Answer:

h(x) = 14

Step-by-step explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

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

g(x) = 21

translation 7 units down: g(x) - 7 = 21 - 7 = 14

Final answer:

Moving a graph or function vertically down is as simple as subtracting the number of units you wish to move from the original function. The function g(x) = 21 moved 7 units down resulting in h(x) = 14.

Explanation:

A vertical translation in a graph is a shift in the graph either up or down along the y-axis. In the case of the function g(x) = 21, which is a horizontal line at y = 21, a vertical translation 7 units down would yield the new function h(x) = 21 - 7 = 14. Therefore, the equation that represents this translation is h(x) = 14.

Learn more about Vertical Translation here:

https://brainly.com/question/12463306

#SPJ3

Kylie needs to pack her baton for a color-guard competition. The baton is 38 inches long. Will it fit in a rectangular box with a base of 13 inches by 35 inches and a height of 13 inches?

What is the diagonal??
Also, use the Pythagorean theorem

I really need it ASAP

Answers

Answer:

The baton will not fit in the rectangular box

Step-by-step explanation:

step 1

Find the diagonal of the base of the  rectangular base and then compare with the length of the baton

Applying the Pythagoras Theorem

Let

x ----> the length of the diagonal base of rectangular box

we know that

[tex]x^{2}=13^{2}+35^{2} \\ \\x^{2} =1,394\\ \\x= 37.3\ in[/tex]

[tex]38\ in > 37.3\ in[/tex]

therefore

The baton will not fit in the rectangular box

you deposit $1500 in an account that pays 5% interest yearly. How much money do you have after 6 years?

Answers

Answer: $1,950 explanation: 1500 x 0.05 =75 75 x 6 years = 450. 1500+450=1950

assuming simple interest.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &6 \end{cases} \\\\\\ A=1500[1+(0.05)(6)]\implies A=1500(1.3)\implies A=1950[/tex]

Andre picks blocks out of a bag 60 times and notes that 43 of them were green. What should Andre estimate for the probability of picking out a green block from this bag?

Answers

43/60 would be the probability

The required estimation is [tex]P(A)=\frac{43}{60}[/tex]

Important information:

Number of observation=60

Number of expected outcomes =43

Probability: Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed between zero and one. So, the formula probability is,

P(A)=Expected observation/number of observations

Now, substituting the given values into the above formula we get,

[tex]P(A)=\frac{43}{60}[/tex]

Learn more about the topic probability:

https://brainly.com/question/14642847

Can anybody please help me ?


1 The average salary for a professional baseball player in the United States can be approximated by = 283(1.2)^t where t=0 represents the year 1984. Using this approximation, find the ratio of an average salary in 1988 to the average salary in 1994.


2 Find and correct the error(s) in the problem below. Explain your correction(s).


x^-9/x^-3=x^-9-3

=x^-12

=1/x^-12

Answers

Here the answer is in this picture

Answer:

1. Ratio is 1 : 3

Step-by-step explanation:

1. The average salary for a professional baseball player in the United States can be approximated by = [tex]283(1.2)^{t}[/tex]

Where t = 0 represents the year 1984.

Salary in year 1988 = [tex]283(1.2)^{4}[/tex]  [t = 4 years]

Salary in year 1994 = [tex]283(1.2)^{10}[/tex] [t = 10 years]

Ratio of the average salary in 1988 to the average salary in 1994 = [tex]\frac{283(1.2)^{4}}{283(1.2)^{10}}=\frac{(1.2)^{4}}{(1.2)^{10}}[/tex]

= [tex]\frac{1}{(1.2)^{10-4}}=\frac{1}{(1.2)^{6}}[/tex]

= [tex]\frac{1}{3}[/tex]

2. Corrected form

[tex]\frac{x^{-9} }{x^{-3}}[/tex]

= [tex]x^{-9+3}[/tex][since [tex]\frac{a^{1}}{a^{1}}=a^{1-1}=a^{0}=1[/tex]]

= [tex]x^{-6}[/tex]

= [tex]\frac{1}{x^{6}}[/tex]  [ since [tex]\frac{1}{a^{1}}=a^{-1}[/tex] ]

Now we can compare the corrections and errors in the highlighted form.

Expression needs correction

[tex]\frac{x^{-9} }{x^{-3}}[/tex]

= [tex]x^{-9-3}[/tex]

=  [tex]x^{-12}[/tex]

= [tex]\frac{1}{x^{-12}}[/tex]

Find the length of Lw

Answers

Answer:

[tex]LW=17.5\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle LAY

Find the measure of side LY applying the Pythagoras Theorem

[tex]LY^{2} =3.5^{2}+ 7.0^{2} \\ \\ LY^{2} =61.25\\ \\ LY=\sqrt{61.25}\ units[/tex]

Find the cosine of angle ALY

[tex]cos(<ALY)=\frac{LA}{LY}[/tex]

[tex]cos(<ALY)=\frac{3.5}{\sqrt{61.25}}[/tex] -----> equation A

In the right triangle LWY

[tex]cos(<ALY)=\frac{LY}{LW}[/tex]

[tex]cos(<ALY)=\frac{\sqrt{61.25}}{LW}[/tex] -----> equation B

equate equation A and equation B and solve for LW

[tex]\frac{3.5}{\sqrt{61.25}}=\frac{\sqrt{61.25}}{LW}[/tex]

[tex]LW=(\sqrt{61.25})(\sqrt{61.25})/3.5[/tex]

[tex]LW=17.5\ units[/tex]

Answer:

There

Step-by-step explanation:

If F(x) = x+ 6 and G(x) = x^4, what is G(F(x))?
O
A. A +x+6
B. (X+6)^4
C.x^4+6
D.x^4(x+6)

Answers

ANSWER

B.[tex] (x + 6)^{4} [/tex]

EXPLANATION

The given functions are:

f(x)=x+6

and

[tex]g(x)= {x}^{4} [/tex]

We want to find

[tex]g(f(x)) = g(x + 6)[/tex]

This is the composition of functions, where one function becomes the input of the second function.

We plug in x+6 into the expression for g(x) to obtain,

[tex]g(f(x)) = (x + 6)^{4} [/tex]

The correct answer is B.

I need help so this is so hard and this is not me

Answers

Answer:

No answer

Step-by-step explanation:

I don't think this equation has an answer.

Normally, you'd try to combine like terms

3 3/4 = 2 + 3/4

3 3/4 = 2 3/4

3 and 3/4 is not equal to 2 and 3/4.

So, I believe this equation has no answer

Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of the first 8 terms of the geometric sequence: -8, -16, -32, -64, -128,

Answers

Answer:

-2040

Step-by-step explanation:

[tex]S_n=a_1\dfrac{r^n-1}{r-1} \qquad\text{for first term $a_1$ and common ratio r}\\\\S_8=-8\dfrac{2^8-1}{2-1}=-2040[/tex]

The sum of the first 8 terms is -2040.

Brand Y Cola sponsors a survey of 15,559 residents of Texas to determine which brand of cola they prefer. Forty percent say they prefer Brand X, and 60 percent say they prefer Brand Y. Which of the following is the population sample?

Answers

Answer:

B. the 15,559 residents

Step-by-step explanation:

I just took the final exam

Subtract. negative 10.0 minus left parenthesis negative 2.3 right parenthesis

Answers

If you mean -10.0 - (-2.3) then the answer is -7.7

Final answer:

To subtract -10.0 - (-2.3), you change the subtraction of the negative number to addition and calculate -10.0 + 2.3, resulting in -7.7.

Explanation:

Subtracting a negative number from another negative number is equivalent to adding the absolute value of the number being subtracted. To solve the given problem, we can visualize it as negative 10.0 plus 2.3.

The subtraction of two negative numbers can be transformed into an addition problem by remembering that subtracting a negative is the same as adding a positive. Here is how you would calculate it step-by-step:

Start with the first number: -10.0.

Change the subtraction to addition because subtracting a negative is like adding a positive.

Add the absolute value of the second number: +2.3.

Combine both numbers: -10.0 + 2.3 = -7.7.

So, negative 10.0 minus (negative 2.3) equals -7.7.

Formula to find the missing number Faces:15 vertices:15 edges:?

Answers

Answer:

Step-by-step explanation:

Euler's formula is

V - E + F = 2

Givens

V = 15

E = 15

F = ?

Solution

15 - 15 + F = 2

F = 2

I'm not sure this makes sense, but it is what the formula gives you.

Final answer:

The student can calculate the number of edges in a polyhedron by using Euler's formula for polyhedra. Given the number of faces and vertices, both being 15, we solve for edges and find that the polyhedron would have 28 edges.

Explanation:

The student wants to calculate the missing number of edges in a geometrical shape given the number of faces and vertices. This can be solved in mathematics using Euler's formula for polyhedra which is Faces + Vertices - Edges = 2. In the current situation, where the shape has 15 faces and 15 vertices, you can solve for edges. Inserting these values into Euler's equation yields: 15 (faces) + 15 (vertices) - Edges = 2. As a result, Edges = 15 + 15 - 2 = 28 edges.

Learn more about Euler's formula here:

https://brainly.com/question/34369062

#SPJ12

did I do this correctly?​

Answers

Answer:

No, The answer should be 240

Step-by-step explanation:

The first step to finding the Surface Area was done well and was right but you got confused when trying to add the area of each shapeThere is 3 Rectangles and 2 Traingles. Let's start with the area of the triangles. 1/2bh is the formula for finding area of Traingles. 1/2(4)(6) = 12. We have two Traingles so that would be 24. Now we have three rectangles with different lengths we need to calculate. Rectangle 1 = 12 * 8 = 96Rectangle 2 = 12 * 6 = 72 Rectangle 3 = 12* 4 = 4824+96+72+48 = 240. So, the surface area of the rectangular prisim is 240

Solve the inequality. Graph the solution set. 26 +6b>2(3b+4)

Answers

Answer:

True for all b

Interval notation; (-∞, ∞)

Step-by-step explanation:

We have been given the following inequality;

26+6b>2(3b+4)

The first step is to open the brackets on the right hand side;

26+6b>6b+8

26-8>6b-6b

18>0

Since 18 is actually greater than 0, the solution set to the inequality is;

True for all b.

I need a lot of help with many questions help

Answers

Answer:

2 cake donuts

Step-by-step explanation:

This is a question on probability, which means that we can find:

# of wanted outcomes/total outcomes.

Wanted outcomes: Vicky ate 3 cake donuts, so our value is 3.

Total outcomes: Vickey ate 3 + 4 + 8 = 15 donuts, so our value is 15.

Plug in: 3/15

Simplify: 1/5

So 1/5 of donuts Vicky eats will probably be cake donuts.

1/5 * 10 = 2

WILL MARK BRANLIEST!! part a: Abe rented a bike at $36 for five days. If he rents the same bike for eight days, he has to pay a total rent of $48.

Answers

Hello i hope you having a good day :) Question : Part a: Abe rented a bike at $36 for five days. If he rents the same bike for eight days, he has to pay a total rent of $48.So we can set the fixed free of the renting that would be (f) and the dynamic free as (d) per the day then we have F + 5d = 36 F +  8d = 48 there for we have f = 16 and d = 4 so it would be  y = 16 + 4x.Hopefully this help you.

If x = 2 calculate the value of x squared- x

Answers

Plug the x value which is 2 back to the x and solve.

I gave you two answers because I wasn’t sure if the question was (x^2) - 2 or x^2-2.
Those two functions look similar but is totally different so keep that in mind.

Hope you have a victorious day!

Fill in the blank to make the fractions equivalent.

8/12 = _/3

Answers

8/12 is equal to 2/3 because 2 x 4 and 3 x 4 equals 8/12

PLEASE ANSWER ASAP What is the value of x in the equation 1.8-3.7x=-4.2+0.3?

Answers

first step is to combine like terms. 1.8-3.7x=4.5 next step is to subtract 1.8 from both sides. -3.7x=2.7 then, divide both sides by -3.7 to get x by itself. x=-.729729...

Answer:

X=57/37 , X=1.540

A sandwich shop has 18 tables. Each table seats up to 4 people. To find the greatest number of people that can be seated, you can solve p4 ≤ 18. Which step is the best way to solve the inequality?

Answers

Answer:

I did this test. The answer to this question is c.multiply each side by 4

Step-by-step explanation:

Other Questions
In a swot analysis what are weaknesses The exchange of segments of dna between the members of a pair of chromosomes is called: Someone left me a ______ message on my voicemail; I had no idea what it meant. Cryptic Boisterous Petulant Jovial Carlos is half as old as Andre Andre is 15 years older than Carlos how old is Andre My teacher dis the first one Which graph shows the graph of a circle with equation x^2+(y-4)^2=16 write any two points to justify that urbanization brings energy crisis What stage of a plants life cycle produces sex cells? evaluate the function for an input of 0 So I need to determine what he did wrong is this problem and what the correct step would be?WORTH 59 POINTS x^y=p Express in logarithmic form for the base. The escape speed from Planet X is 20,000 m/s. Planet Y has the same radius as Planet X but is twice as dense. What is the escape speed from Planet Y? which sampling method starts with a random number and then selects every kth number thereafter?A. simple random samplingB. systematic random samplingC. stratified random samplingD. Cluster sampling please help on this one? Handling and controlling an object is known as which of the following? A. Manipulative skills B. Nonlocomotor skills C. Locomotor skills D. Movement concepts 3. I need help with question in the attached picture! Where did many loyalists go after the war? The three-dimensional structures of tRNAs are highly conserved for what reason?The reason is probably so that each can fit equally well onto the ribosome and carry out its functionThe binding site on the ribosomes defines the order of tRNA binding, so there is no need for tRNAs to show any structural variation.The presence of different amino acids on the acceptor stem provides any necessary distinguishing features.This statement is incorrect; the three dimensional structure of tRNA is not highly conserved. If it were, the ribosomes would not be able to determine the correct amino acid to accept. The definition of parallel lines requires the undefined terms line and plane Write the slope-intercept form of the equation for the line. Steam Workshop Downloader