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

Answer: 4

Step-by-step explanation:

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]

Answer:

D) -5x(x² + 2x + 3)

Step-by-step explanation:

-5x³ - 10x² - 15x

Common factor:

-5x

Factored:

-5x(x² + 2x + 3)

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

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

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:

For proportion of correct free throw attempts by Josh:

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:

https://brainly.com/question/7204089

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°.

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:

Answer:

There isnt a rectangle buddy

Step-by-step explanation:

Answer:

Step-by-step explanation:

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!

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

If you are helped with my answer pls tag me brianliest

Answer:

y=-x/3+5/3

Step-by-step explanation:

slope form is y=mx+b

9514 1404 393

Answer:

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°

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

[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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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

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

Answer:

32 in²

Step-by-step explanation:

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

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

A=32

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)

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]

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

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]

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

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

Answer:

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

Step-by-step explanation:

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

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)_.