In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class has a cat or a dog?
Has a cat Does not have a cat
Has a dog 9 2
Does not have a dog 4 5

Answers

Answer 1

Answer:

0 students have a cat and 92 students have a dog

Answer 2

The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The class has a cat and a dog = 9

Has a dog and does not have a cat = 2

Does not have a dog and has a cat = 4

Does not have dog and cat = 5

The total strength of the class is 20

The probability that a student is chosen randomly from the class has a cat or a dog =  Number of favorable outcomes / total number of outcomes

P(E) = 15 /20

Hence, The probability that a student is chosen randomly from the class has a cat or a dog is 15/20.

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Related Questions

Can someone pls help with this

Answers

Answer: 4

Step-by-step explanation:


State the cross section of the shape found in the picture

Answers

I believe that the cross section is a triangle

prove why 2,5,8,11 and 14 are not perfect squares?​

Answers

Answer:

because there is an exact square number such as:4,9

Answer:

✓2=1.41421

✓5=2.23607

✓8=2.82842

✓11=3.31662

✓14=3.74166

Step-by-step explanation:

Therefore the numbers are increasing by three so they cant be perfect square

where is -3 3/4 on a number line​

Answers

Answer:

here lol https://imageshare.best/8R2I7D

Step-by-step explanation:

But wheres the picture...

It takes Bethany 9 hours to proof a chapter of Hawkes Learning Systems' College Algebra book and it takes Nina 5 hours. How long would it take them working together

Answers

Hello!

Here we could use something called the work equation.

If [tex]x[/tex] is considered proofing a chapter of the book, we can set up an equation such as, [tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex].

Then, all we do is solve for it.

[tex]\frac{1}{9}+\frac{1}{5}=\frac{1}{x}[/tex]

[tex]5x+9x=45[/tex]

[tex]14x=45[/tex]

[tex]x=\frac{45}{14}[/tex]

So working together, it would take them [tex]\frac{45}{14}[/tex] hours to proof a chapter of the book.

Hope this helps!

What is the slope, m, of the line through (-7, -2) and (-6, 7)?

Answers

Answer:

Slope = 9

Step-by-step explanation:

(-7 , -2) ;  x₁ = -7  and  y₁ = -2

(-6 , 7) ;  x₂ = -6  and y₂ = 7

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9[/tex]

Joe makes an hourly wage of $14.00. Last week, Joe worked 58 hours.
What is Joe's gross pay for this pay period?

Answers

Answer:

812 dollars  14 x 58 = $812 dollars.

Step-by-step explanation:

Answer:

I think it is 812 tell me if I'm wrong please

Convert 3y=-x + 5 into slope form

Answers

Answer:

y=-x/3+5/3

Step-by-step explanation:

slope form is y=mx+b

What is the value of the expression below when y=2 AND z=8?
8y-z

Answers

Answer:

Step-by-step explanation:

Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1

Answers

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

The solution to the matrix equation ...

  [tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]

is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.

  [tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]

Need the Answer for this, provide an explanation.

Answers

Answer:

D) -5x(x² + 2x + 3)

Step-by-step explanation:

-5x³ - 10x² - 15x

Common factor:

-5x

Factored:

-5x(x² + 2x + 3)

pls show your work if possible ​

Answers

Answer:

32 in²

Step-by-step explanation:

A= ((a+b)/2)*h

A= ((6+10)/2)*4

A=32

8. Daren and Josh are pretty good free throw shooters. Daren makes 75% of the
free throws he attempts. Josh makes 80% of his free throws. Suppose we take
separate random samples of 50 free throws each from Daren and Josh, and
record the proportion of free throws that are made by each. Which of the
following best describes the sampling distribution of PD - Pj?

Answers

Answer:

B) Approximately normal, with mean -0.05 and standard deviation 0.083

Step-by-step explanation:

The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.

The distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083

What is the distribution of population proportion?

For large enough sample, let the population proportion of a quantity be denoted by random variable [tex]p[/tex]

Then, we get:

[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]

where

[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity, and n = size of sample drawn.
What is the distribution of random variable which is sum of normal distributions?

Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:

[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]

And if

[tex]X = X_1 + X_2 + \cdots + X_n[/tex]

Then, its distribution is given as:

[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]

Here, we're specified that:

For proportion of correct free throw attempts by Daren:

Sample size = n = 50Estimated proportion = [tex]\hat{p}_D = 75\% = 0.75[/tex]Let the population proportion be represented by variable [tex]p_D[/tex]

For proportion of correct free throw attempts by Josh:

Sample size = n = 50Estimated proportion = [tex]\hat{p}_J = 80\% = 0.8[/tex]Let the population proportion be represented by variable [tex]p_J[/tex]

And therefore, we have:

[tex]p_D \sim N\left (0.75, \sqrt{\dfrac{0.75 \times 0.25}{50}}\right )\\\\p_J \sim N\left (0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex]

And therefore, we get:

[tex]-p_J \sim N\left (-0.80, \sqrt{\dfrac{0.8 \times 0.2}{50}}\right )[/tex] (standard deviation doesn't get affected by change of sign of the considered random variable, and mean gets affected linearly, so mean became negative 0.80 and standard deviation stays same).

Adding [tex]p_D[/tex] and [tex]-p_J[/tex], we get:

[tex]p_D + (-p_J) = p_D - p_j \sim N\left (0.75 -0.80, \sqrt{\dfrac{0.8 \times 0.2}{50} + \dfrac{0.75 \times 0.25}{50}}\right )\\\\p_D - p_J \sim N\left( -0.05, 0.0837\right)[/tex]

Thus, the distribution of pD = pJ is given by: Option B: Approximately normal, with mean -0.05 and standard deviation 0.083

Learn more about population proportion here:

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Horseshoe crabs on a beach can be overturned by approaching waves. These “stranded” crabs may right themselves by turning over. During a period of many days on an Atlantic Ocean beach, investigators categorized a random sample of crabs as either stranded or not stranded and additionally noted their age category. The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the following table.

Answers

Answer:

B) 52.54

Step-by-step explanation:

The 52.54 is closest to the expected number of young stranded horseshoe crabs.

Here we have given that,

Horseshoe crabs on a beach can be overturned by approaching waves.

The researchers wanted to investigate whether there is convincing evidence of an association between becoming stranded and age. Data from their study are shown in the table.

  Young Intermediate Adult Total

Yes      41           125 52         218

No     153        364         70         587

Total   194          489  122          805

What is the formula for expected number of young stranded horseshoe crabs?

[tex]Expected number of young stranded horseshoe crabs=\frac{Total values of young horseshoe crabs}{ total crabs}[/tex]

Therefore we get,

Expected number of young stranded horseshoe crabs is,

[tex]=194 (\frac{218}{805} )[/tex]

[tex]=52.54[/tex]

Therefore ,the 52.54 is closest to the expected number of young stranded horseshoe crabs.

To learn more about  the expected number of young stranded horseshoe crabs visit:

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If P = (8,2), Find: r270 (P)

Answers

Answer:

In geometry we use input/output process when we determine how shapes are altered or moved. ... f) P (x,y) ------ > (x + 3, 2y) (-4,9). A' (-1, 18)_.

A can of juice has a radius of 4 inches and a height of 7 inches. What is the volume of the can?
Round your answer to the nearest tenths place.

Answers

Answer:

351.7

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

V = 3.14(4²)(7)

V = 3.14(16)(7)

V = 50.24(7)

V = 351.68

Rounded to the nearest tenth:

351.7

What slope of the points (9,7) and (3,3)

Answers

Answer:

6/4

Step-by-step explanation:

Answer:

slope

=

21

16

Explanation:

to calculate the slope m use the

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let

(

x

1

,

y

1

)

=

(

7

,

11

)

and

(

x

2

,

y

2

)

=

(

9

,

10

)

m

=

10

11

9

(

7

)

=

21

16

=

21

16

Step-by-step explanation:

Suppose that y varies directly with x , y= 15 and when x=6. write a direct variation equation

Answers

Answer:

[tex]y = \frac{5}{2}x[/tex]

Step-by-step explanation:

Given

Variation: Direct from y to x:

[tex]y\ \alpha\ x[/tex]

[tex]y =15; x = 6[/tex]

Required

Write the equation

[tex]y\ \alpha\ x[/tex]

Express as an equation

[tex]y = kx[/tex]

Where k is the constant of variation

Substitute [tex]y =15; x = 6[/tex]

[tex]15 = 6k[/tex]

Solve for k

[tex]k = \frac{15}{6}[/tex]

[tex]k = \frac{5}{2}[/tex]

Substitute [tex]k = \frac{5}{2}[/tex] in [tex]y = kx[/tex]

[tex]y = \frac{5}{2}x[/tex]

what is a project in project planning and management and business ​

Answers

Answer:

Step-by-step explanation:

Business projects are intended to achieve defined business objectives and are aligned with a company's business strategy. ... It's important to note that all projects, regardless of type, must meet certain criteria to be considered projects. The primary two requirements are that they are both temporary and unique

Project management is the process of leading the work of a team to achieve goals and meet success criteria at a specified time. The primary challenge of project management is to achieve all of the project goals within the given constraints

How do you define a project?

According to the PMBOK (Project Management Body of Knowledge) 3rd edition, A project is defined as a “temporary endeavor with a beginning and an end and it must be used to create a unique product, service or result”. Further, it is progressively elaborated.

What is a project in business?

A project is a temporary piece of work which falls outside 'business as usual' day-to-day operations and can be anything from moving offices or building a website to carrying out major construction work or complex statistical analysis. Some businesses are entirely project-based

Vicky made some purchases at the
Sunflower Market. She bought strawberries
for $3.50, carrots for $2.25 and a bouquet of
flowers for $9.95. If sales tax is 5%, what will
Maria pay altogether?

1. $16.48

2. $15.70

3. $16.49

4. $16.50

Answers

Step-by-step explanation:

Vicky Bought:

Strawberries $3.50

Carrots $2.25

Flowers $9.95

Subtotal $3.50 + $2.25 + $9.95

= $15.70

5% Sales Tax (5% of Subtotal) = 5/100 x $15.70

= $0.785 (will not round off here as it is not the final answer.)

Total = Subtotal + 5% Sales Tax

= $15.70 + $0.785

= $16.485

= $16.49 (rounded off to nearest cent)

solve for x in the rectangle below​

Answers

Answer:

There isnt a rectangle buddy

Step-by-step explanation:

Could I get some assistance with this one? I'm a little stuck. Thank you so much! C:

Answers

Answer:

$13.64

Step-by-step explanation:

you need about 1853 sheets of paper which is

1853 ÷ 500, or 3.706 reams

if 1 ream costs $3.68 then 3.706 reams costs 3.706 × 3.68 or $13.64

1)) An angle measures 132° less than the measure of its supplementary angle. What is the
measure of each angle?

Answers

Answer:

156° and 24°

Step-by-step explanation:

Let it's supplementary angle be x.

So, the angle = (x - 132)°

As we know, sum of supplementary angles is 180°;

x + x - 132 = 180

2x = 180 + 132

2x = 312

x = 312/2

x = 156°

(x-132)° = (156-132)° = 24°

Hence, the angles are 156° and 24°.

Find the area of 10cm, 27cm, 9cm and 24cm.

Answers

If you are helped with my answer pls tag me brianliest

THANK YOU.........

Calculate the slope of the line using two points.

Question 1 options:

-1/4


1


-4


1/4

Calculate the slope of the line using two points.



Question 2 options:

1


2


4


1/4
Calculate the slope of the line using two points.



Question 3 options:

1/3


2/3


3/2


3

Question 4
Calculate the slope of the line using two points.



Question 4 options:

1/3


2/3


3/2


2

Answers

Kkkxudnekbdjxidbeidbxkdbndixbd

5/3 plus 11/4 I NEED IT FAST!!

Answers

The answer is 53/12=4 5/12

Solve the right angle . Round decimal answers to the nearest tenth

Answers

9514 1404 393

Answer:

YZ = 8.5∠X = 70.5°∠Z = 19.5°

Step-by-step explanation:

There are a couple of ways to do this. We can find YZ using the Pythagorean theorem, or we can find it using trig functions.

We know from SOH CAH TOA that ...

  Cos = Adjacent/Hypotenuse

  cos(X) = 3/9 = 1/3

  X = arccos(1/3) ≈ 70.5°

Angle Z is the complement of this, so is ...

  Z = 90° -70.5° = 19.5°

__

The length of side YZ can be found from ...

  Sin = Opposite/Hypotenuse

  sin(X) = YZ/XZ

  YZ = XZ·sin(X) = 9·sin(70.5°) ≈ 8.485 ≈ 8.5

__

In summary, ...

  YZ = 8.5; ∠X = 70.5°; ∠Z = 19.5°

A rocking horse has a weight limit of 60 pounds. What percentage of the weight limit is 33 pounds?​

Answers

Answer:

57 pounds weight is 95 percent of the limit i think

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

50% of 60 is 30

5% of 60 is 3

y = -2x² + 5x+- 11 how do I write this in a standard form?

Answers

9514 1404 393

Answer:

   y = -2x² +5x -11

Step-by-step explanation:

Combine the signs on the constant. The terms are already in order of descending powers of x, which is what you want for standard form.

   y = -2x² +5x -11

Use the table to write each ratio Redbirds to blue socks

Answers

Honestly I don’t know the answer
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