An experiment consists of drawing a single card from a standard deck of 52 cards. Event A is "drawing a heart and event B is "drawing a face card
(jack, queen, or king)."
Are events A and B dependent or independent? Why?
Select the option that correctly answers both questions.
O Events A and B are dependent, because P(A) + P(BLA).
O Events A and B are independent, because P(B) = P(B|A) -
O Events A and B are dependent, because P(B) P(BA).
O Events A and B are independent, because P(A) = P(BA) = 4

Answers

Answer 1

Answer:

I just took workbook 26.2 and the answer is

ANSWER: events a and b are independent, because p(b) = p(b | a) = 3/13

Step-by-step explanation:


Related Questions

In the diagram, SOP  GNQ. Find the value of x.

Answers

Answer:

D. 33

Step-by-step explanation:

Triangle OSP is dilation of 1.5 of triangle NGQ, and side SP corresponds to side GQ.

22*1.5 = 33

Hope this helps :)

What are all the ZEROS? Show all the work!
(2x+6)(x-4)

Answers

Answer:

4 and -3

Step-by-step explanation:

2x+6=0

2x=-6

-3

x-4=0

x=4

So its 4 and -3

Answer:

-3,4

Step-by-step explanation:

(2x+6)(x-4) = 0

Using the Zero Factor Principle: If ab =0 then a=0 or b=0

2x+6=0 or X-4=0

solve 2x+6=0:

2x+6=0

Subtract 6 from both sides

2x+6-6 0-6

Simplify

2x = -6

Divide both sides by 2

2x/2 = -6/2

Simplify

X=-3

then x-4 =0

add 4 from to both sides

x=4

zeros : -3,4

(-3,0),(4,0)

The graph shows the distance $y$ (in miles) that a bus travels in $x$ hours. Find and interpret the slope of the line.
The slope of the line is (Answer here)

. The bus is traveling at a speed of (Answer here)

miles per hour.

Answers

Answer:

Slope is 60/1 or simply 60. Miles per hours is also 60

Step-by-step explanation:Rise/Run Up60 Over1 which is why slope =60, mph is same as slope or just calculate how many miles car goes in one hour by reading the graph.

Of the twenty-two students in a classroom, ten are transfer students, seven are nursing students, four are AAS students and one student is undecided:

If one student is chosen randomly, find the probability that the student is not an AAS student.

Answer:

Answers

Refer to the photo for my work and answer. Basically, you are finding the probability of selecting anything but an AAS student. So you add up the other students and divide by 22

Mario has $50, which is $8 more than twice the amount of money that Kevin has. How much money does Kevin have?

Answers

Answer:

21

Step-by-step explanation:

First you would subtract 8 from 50 (50 - 8). Once you have that answer, 42, you divide it in half (42/2). Your final answer is 21. The full equation is:

(50 - 8)/2

Jia wishes to briskly walk 150 minutes per week. When briskly walking, Jia takes 100 steps per minute. Approximately how many briskly-walked steps should Jia take per day to achieve the 150 minutes weekly goal?
Group of answer choices
250
2,100
15,000
105,000

Answers

Answer:

15000

Step-by-step explanation:

150x100

15000

18 lollipops and 36 candy bars whats the ratio of lollipops to candy bars

Answers

Answer:

1:2

Step-by-step explanation:

18:36

Simplify:

36÷2=1, making 2 a good 2nd term

There are 2 candy bars every 1 lollipop.

1:2

1:2 is the ratio of lollipops to candy bars.

What is ratio?

The relationship in quantity, amount, or size between two or more things.

Given that there are 18 lollipops and 36 candy bars,

Ratio = 18/36 = 1/2

Hence, 1:2 is the ratio of lollipops to candy bars.

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A sociologist was curious about how much smartphone access has changed for American teenagers. They obtained separate random samples of teenagers from
2017
20172017 and
2013
20132013. Here are their results:
Has access to smartphone?
2017
20172017
2013
20132013
Yes
450
450450
120
120120
No
150
150150
280
280280
Total
600
600600
400
400400
They want to use these results to construct a
95
%
95%95, percent confidence interval to estimate the difference in the proportion of teens each year who had access to a smartphone
(
p
2017

p
2013
)
(p
2017

−p
2013

)left parenthesis, p, start subscript, 2017, end subscript, minus, p, start subscript, 2013, end subscript, right parenthesis. Assume that all of the conditions for inference have been met.
Which of the following is a correct
95
%
95%95, percent confidence interval based on their data?

Answers

Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference in the proportions of teenagers with access to smartphones in 2017 and in 2013 is of (0.393, 0.507).

What is the mean and the standard error of the distribution of differences?

In 2017, 450 out of 600 students had access, hence:

[tex]p_1 = \frac{450}{600} = 0.75, s_1 = \sqrt{\frac{0.75(0.25)}{600}} = 0.0177[/tex]

In 2013, 120 out of 400 students had access, hence:

[tex]p_2 = \frac{120}{400} = 0.3, s_2 = \sqrt{\frac{0.3(0.7)}{400}} = 0.0229[/tex]

For the distribution of differences, we have that the mean and the standard error are, respectively, given by:

[tex]p = p_1 - p_2 = 0.75 - 0.3 = 0.45[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0177^2 + 0.0229^2} = 0.0289[/tex]

What is the confidence interval?

It is given by:

[tex]p \pm zs[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

Then:

[tex]p - zs = 0.45 - 1.96(0.0289) = 0.393[/tex]

[tex]p + zs = 0.45 + 1.96(0.0289) = 0.507[/tex]

The 95% confidence interval for the difference in the proportions of teenagers with access to smartphones in 2017 and in 2013 is of (0.393, 0.507).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

0.45+-0.057

Step-by-step explanation:

find the circumference and the area of a circle with diameter of 6 ft
use 3.14

Answers

Answer:

Step-by-step explanation:he equation for circumference is:

c=2%28pi%29r

The equation for area is:

a=%28pi%29r%5E2

First, we'll find the circumference.

The 'r' in the equation stands for radius. The radius of a circle is half of its diameter, so the circle's radius is half of 6--3 inches.

So, we can substitute 3 in for 'r' and 3.14 in for pi

c=2%28pi%29r

c=2%2A3.14%2A3

Then, we can simply multiply.

c=2%2A3.14%2A3

c=18.84

Therefore, the circumference of the circle is 18.84

Next, we'll find the circle's area.

Again, we can substitute 3 in for 'r' and 3.14 in for pi

a=%28pi%29r%5E2

a=3.14%2A3%5E2

The, we'll square three and multiply.

a=3.14%2A3%5E2

a=3.14%2A9

a=28.26

Therefore, the circumference is 18.84 and the area is 28.26.

Solve this Question.​

Answers

Answer:

x = 1

explanation:

[tex]\sf \rightarrow \dfrac{3}{x} -1 = 2[/tex]

[tex]\sf \rightarrow \dfrac{3}{x} = 2+1[/tex]

[tex]\sf \rightarrow \dfrac{3}{x} = 3[/tex]

[tex]\sf \rightarrow {3} = 3(x)[/tex]

[tex]\sf \rightarrow \dfrac{3}{3} = (x)[/tex]

[tex]\sf \rightarrow x = 1[/tex]

checking if x = 1,

[tex]\sf \rightarrow \dfrac{3}{1} -1 = 2[/tex]

[tex]\sf \rightarrow3 -1 = 2[/tex]

[tex]\sf \rightarrow 2 = 2[/tex]

→ Hence proved x : 1 as L.H.S = R.H.S

Step-by-step explanation:

[tex] \frac{3}{x} - 1 = 2 \\ [/tex]

Adding 1 on both sides, we get

[tex] \frac{3}{x} - 1 + 1 = 2 + 1 \\ \frac{3}{x} = 3[/tex]

By performing cross multiplication, we get

[tex]3 \times x = 3 \times 1 \\ 3x = 3[/tex]

Dividing both sides by 3, we get

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

Hence, the value of x is 1.

An office manager budgeted $400 for
office supplies. The manager ordered
2 toner cartridges for $89 each and a
box of printer paper for $27. Each price
includes tax.
What is the greatest number of
additional boxes of printer paper the
manager can order with the money left
in the budget?
A. 2
B. 7
C. 8
D. 10

Answers

Answer:

B. 7

Step-by-step explanation:

To find this out, first, we multiply 89*2, which is 178, the amount already spent on toner.

Then, we add 27 to this to find the total amount spent so far. This comes out to $205 spent so far.

To find out how much we have left to spend, we subtract the amount spent from the original.

400-205 = $195, the amount of money left.

To find out how much paper we can buy, we divide the cost of one paper box, by the amount of money we have left.

195/27 = 7.222222222222222222222222222222

Since we cannot buy 7.222222222222222222222222 boxes, we can only buy 7. This is the answer.

The scatterplot shows the relationship of scores for students who took a math test and history test. Based on a line of best fit, what score would be the BEST prediction for a student's history test if they made a 60 on their math test?

A) 50
B) 60
C) 70
D) 75

Answers

Answer:

c

Step-by-step explanation:

lucky guess

NO LINKS!!! Please help me with this problem. Part 14​

Answers

Explanation:

The Law of Cosines can be used to write a quadratic in x. The desired form corresponds to its solution using the quadratic formula.

  [tex]L^2=r^2 +x^2 -2rx\cdot\cos{\theta}\\\\x^2-2rx\cdot\cos{\theta}+(r^2-L^2)=0[/tex]

Using the quadratic formula gives the positive value of x as ...

  [tex]x=\dfrac{-(-2r\cdot\cos{\theta})+\sqrt{(-2r\cdot\cos{\theta})^2-4(1)(r^2-L^2)}}{2(1)}\\\\\boxed{x=r\cos{\theta}+\sqrt{r^2\cos^2\theta+L^2-r^2}}[/tex]

Is 0.88 greater than 1.5?

Answers

Answer:

No 1.5 is greater than 0.88

Step-by-step explanation:

Your Welcome please Mark Brainliest

- Nathaniel Cross

No 0.88 is not a whole number as 1.5 is a whole number so if you stretch it out a bit 1.5 is 1.50 and that’s clearly more than 0.88

Solve the equation algebraically.

2lnx + 7 = ln(4x) + 10

Round your final answers to two decimal places.

Answers

Answer:

x = 80.34 (2 dp)

Step-by-step explanation:

[tex]2\ln(x)+7=\ln(4x)+10[/tex]

[tex]\implies \ln(x^2)+7=\ln(4x)+10[/tex]

[tex]\implies \ln(x^2)-\ln(4x)=10-7[/tex]

[tex]\implies \ln\left(\dfrac{x^2}{4x}\right)=3[/tex]

[tex]\implies \ln\left(\dfrac{x}{4}\right)=3[/tex]

[tex]\implies e^{\ln\left(\dfrac{x}{4}\right)}=e^3[/tex]

[tex]\implies \dfrac{x}{4}=e^3[/tex]

[tex]\implies x=4e^3[/tex]

[tex]\implies x=80.34 \textsf{ (2 dp)}[/tex]

can someone pls answer both of these ?'s i WILL mark BRAILIEST

Answers

A. 48

B. 1

I just did these

bettie bought are reel of thread for sowing that is 14.5 meters long. Bettie uses 425 centimeters for a project. How many meters are left on the reel?

Answers

14.5 meters is 1450 centimeters
Therefore 1450cm - 425cm = 1025

can you help me with question​

Answers

1. 225 pie metres or 706.86m
2. 289 pie metres or 907.92in

What is the perimeter of the figure to the nearest tenth of a millimeter?

A. 9.4 millimeters

B. 12.0 millimeters

C. 21.4 millimeters

D. 30.8 millimeters

Answers

Answer:

i think the answer is C

Step-by-step explanation:

i normally just do length divided by width to figure this out

The phantoms won 8 more games than the Aztecs last year. Their combined wins were 32. Finds the
number of games won by each team last year,

Answers

Step-by-step explanation:

let aztecs = x

since the phantoms won 8 more than the aztecs

then, the phantoms = x + 8

and their combined win was 32

therefore

x + x + 8 = 32

2x + 8 =32

2x = 32 - 8

2x = 24 , x = 12

so , aztecs won 12 games and the phantoms won 20 games.

If this helped pls give brainliest

Anna made her uncle a garden. The width is 7 2 5 ft and the length is 5 1 2 ft. What is the area of the garden?

Answers

Answer:

The answer to that is 371200ft2

Step-by-step explanation:

725 x 512 = 371200ft2

Answer:

the answer is 40 7\10

Step-by-step explanation:

7 2\5 x 5 1\2= 407\10 = 40 7\10

Proportion and give 6:8= n :12

Answers

Answer:

n = 9

Step-by-step explanation:

6/8 = n/12

(6/8)(12) = (n/12)(12)

n = 9

What are the solutions to the equation x2+9x+12=6?

Answers

Answer:

B displays correct solutions for x² +9x +12 = 6

step-by-step explanation:

[tex]\rightarrow \sf x^2 + 9x + 12 = 6[/tex]

[tex]\rightarrow \sf x^2 + 9x +12 -6 = 0[/tex]

[tex]\rightarrow \sf x^2 + 9x + 6 =0[/tex]

use the formula:   [tex]\sf \bold{x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a } \ \ when \ \ \ ax^2 + bx + c = 0}[/tex]

[tex]\rightarrow \sf x = \dfrac{ -9 \pm \sqrt{(-9)^2 - 4(1)(6)}}{2(1)}[/tex]

[tex]\rightarrow \sf x = \dfrac{ -9 \pm \sqrt{57}}{2}[/tex]

[tex]\rightarrow \sf x = \dfrac{ -9}{2} +\dfrac{\sqrt{57}}{2}[/tex]   ;  [tex]\sf x = \dfrac{ -9}{2} -\dfrac{\sqrt{57}}{2}[/tex]

The points (-2, 6) and (2, r) lie on a line with slope 3. Find the missing coordinate r.

Answers

ANSWER: r=18

EXPLANATION:

Hello. Can someone please help me with this probability math homework? Appreciated ​

Answers

hope it's helpful at you all

I want to understand how to set it up to be able to answer. I am to use a Taylor Polynomial to estimate e to at least 3 decimal places.​

Answers

Answer:

A Taylor series approximation uses a Taylor series to represent a number as a polynomial that has a very similar value to the number in a neighborhood around a specified x value: f ( x ) = f ( a ) + f ′ ( a ) 1 ! ( x − a ) + f ′ ′ ( a ) 2 !

Step-by-step explanation:

Find the value of x. Please help me with this?

Answers

The interior angles of any triangle sum to 180° in measure, and in ∆ABC, the angles at vertices A and C are congruent. If we call their measure a, then

24° + 2a = 180°   ⇒   2a = 156°   ⇒   a = 78°

The angle at vertex C and the angle with measure (2x - 18)° are supplementary, meaning they add up to 180° :

a + (2x - 18)° = 180°

Solve for x :

78° + (2x - 18)° = 180°

(2x - 18)° = 102°

2x = 120

x = 60

According to the number line, what is the distance between points A and B?
A
B
SARE
+++
-16-14-12-10 -8 -6 -4 -2
02
4
6
8 10 12 14 16
O 6 units
O 7 units
O 12 units
0 14 units

Answers

Answer:

14 units

Step-by-step explanation:

i think you just need to minus it to get the distance between it

like :

=point B - point A

=12 - (-2)

=12 +2

=14

so it 14 units

According to the number line the distance between  points A and B is 14 units.

What is Number system?

A number system is defined as a system of writing to express numbers.

We need to find the  distance between points A and B.

The length along a line or line segment between two points on the line or line segment.

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

The point A is at -2

The point B is at 12 on the number line

AB=OB-OA

=12-(-2)

=12+2

=14 units.

Hence, According to the number line the distance between  points A and B is 14 units.

To learn more on Number system click:

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How many times greater is 10,000 than 100?

Show the solution and a proper answer, please.

Answers

Answer:100
10,000/100=100
Brainliest pls!
Have a good day:)
How many 100s can you fit into 10,000 ? 10,000 : 100 = 100 .
Ans = 100 times

5. Solve the differential equations using Laplace transforms

y'' − 3y' + 2y = 1, y(0) = 1, y'(0) = 0

y'' + y' − 2y = x², y(0) = 0 and y'(0) = 0

y'' + y' − 2y = e⁻³ˣ, y(0) = 0 and y'(0) = 0

Answers

Answer:

First problem: [tex]y(x)=\frac{1}{2}+e^x-\frac{1}{2}e^{2x}[/tex]

Step-by-step explanation:

Solve for Y(s) by taking the transform of every term

[tex]y''-3y'+2y=1,\:y(0)=1,\:y'(0)=0\\\\\mathcal{L}\{y''\}-3\mathcal{L}\{y'\}+2\mathcal{L}\{y\}=\mathcal{L}\{1\}\\\\s^2Y(s)-sy(0)-y'(0)-3[sY(s)-y(0)]+2Y(s)=\frac{1}{s}\\\\s^2Y(s)-s-3[sY(s)-1]+2Y(s)=\frac{1}{s}\\\\s^2Y(s)-s-3sY(s)+3+2Y(s)=\frac{1}{s}\\\\(s^2-3s+2)Y(s)-s+3=\frac{1}{s}\\\\(s-1)(s-2)Y(s)=\frac{1}{s}-3+s\\\\Y(s)=\frac{1}{s(s-1)(s-2)}-\frac{3+s}{(s-1)(s-2)}[/tex]

Perform partial fraction decomposition

[tex]Y(s)=\frac{1-3s+s^2}{s(s-1)(s-2)}\\\\Y(s)=\frac{s^2-3s+1}{s(s-1)(s-2)}\\ \\\frac{s^2-3s+1}{s(s-1)(s-2)}=\frac{A}{s}+\frac{B}{s-1}+\frac{C}{s-2}\\\\s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)[/tex]

Solve for each constant

[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(2)^2-3(2)+1=A(2-1)(2-2)+B(2)(2-2)+C(2)(2-1)\\\\-1=2C\\\\-\frac{1}{2}=C[/tex]

[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(1)^2-3(1)+1=A(1-1)(1-2)+B(1)(1-2)+C(1)(1-1)\\\\-1=-B\\\\1=B[/tex]

[tex]s^2-3s+1=A(s-1)(s-2)+B(s)(s-2)+C(s)(s-1)\\\\(0)^2-3(0)+1=A(0-1)(0-2)+B(0)(0-2)+C(0)(0-1)\\\\1=2A\\\\\frac{1}{2}=A[/tex]

Take the inverse transform to solve the IVP

[tex]Y(s)=\frac{\frac{1}{2}}{s}+\frac{1}{s-1}+\frac{-\frac{1}{2}}{s-2}\\ \\y(x)=\frac{1}{2}+e^x-\frac{1}{2}e^{2x}[/tex]

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