The Venn diagram represents the results of a survey that asked participants whether they would want a dog or a cat as a pet. Enter your answers in the boxes to complete the two-way table based on the given data.

Answer:

B is the answer

Step-by-step explanation:

The conditions required for a random variable X to follow a Poisson process. The probability of success is the sme for aany two intervals of equal length. The probability of two or more successes in any sufficiently small subinterval is 0.

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The value of k is 1/4.

According to the statement

we have given

The equation of parabola is y=k−x2

And tangent to the line of equation is y = x

and we have to find the value of K.

So, let y=k−x2  -(1)

and let  y = x  -(2)

(2) is the tangent to the (1) then

therefore they cut at

y=k−x2  -(1)

y = x  -(2)

so, put (2) in the (1) then

x = k- (x)^2

(x)^2 + x = k

The above written equation has one real number then for this D =0

so, (x)^2 + x - k = 0

-1 -1*4*k = 0

-1 - 4k = 0

-4k = 1

The value of k is -1/4.

So, The value of k is 1/4.

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Answer:

X-19

Step-by-step explanation:

First you need to distribute the three into the numbers in the parenthesis,

(3 * x) + (3  * -5) - (2x + 4)

That then turns into,

3x - 15 - (2x + 4)

but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)

3x - 15 + (-1 * 2x) + (-1 * 4)

that turns into,

3x - 15 - 2x -4

from here all we have to do is add like terms,

(3x - 2x) + (-15 + -4)

and that leaves us with: 1x -19 or x-19

Hope that helped :))  

Step-by-step explanation:

x, y = 2 numbers

x = 2y

y - x/2 = 20

this is impossible to solve. there is no solution.

because the first equation tells us

y = x/2

and so the second equation is

x/2 - x/2 = 20

0 = 20

so, again, no solution.

The mean of the sample is x-bar is determined to be 59.2 and population standard deviation, σ, is known to be 3.8. The 90% confidence interval about μ if the sample size, n, is 45 be  58.27< μ<60.13

A simple random sample of size n is drawn from a population whose population standard deviation, σ, is known to be 3.8. The sample mean, x-bar, is determined to be 59.2.

Hence,

n=45

σ=3.8

x-bar=59.2

The z value for the 90% confidence interval is z=1.645.

Then, μ=(x-bar)±(z×σ/[tex]\sqrt{n}[/tex])

μ=59.2±(1.645×3.8/[tex]\sqrt{45}[/tex])

μ=59.2±0.9318

59.2-0.9318<μ<59.2+0.9318

58.27< μ<60.13

Therefore, The 90% confidence interval about μ if the sample size, n, is 45 be  58.27< μ<60.13

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The algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74

According to the question,

Cost of 1 bag of lemons = $x

Cost of 8 bags of lemons = 8*x = 8x

Cost of 8 bags of lemons = Total cost - cost of the egg

8x = $39.62 - $6.74

Hence, the algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74.

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The quadrilateral is a parallelogram because both pairs of opposite sides are parallel and since the product of the slopes of both pairs of adjacent segments is -1, the quadrilateral is a rectangle

Answer:

The guy above is somewhat right.

Hope this helps!

Step-by-step explanation:

The quadrilateral is a rectangle.

The possible amount of time, in minutes, that it could take the worker to box 168 pairs of shoes is between 14 minutes to 21 minutes.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

A worker at a shoe factory is required to box at least 8 pairs of shoes per minute, and not more than 12 pairs of shoes per minute.

For 168 pairs of shoe:

Maximum time = 168 pair / 8 pairs per minute = 21 minutes

Minimum time = 168 pair / 12 pairs per minute = 14 minutes

The possible amount of time, in minutes, that it could take the worker to box 168 pairs of shoes is between 14 minutes to 21 minutes.

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Answer:

A

Step-by-step explanation:

[tex]\cos \theta=\frac{3}{8} \\ \\ \theta=\cos^{-1} \left(\frac{3}{8} \right) \\ \\ \theta \approx 68^{\circ}[/tex]

Answer: The answer is D

Step-by-step explanation:

Answer:

a=5

b=6

c=3

d=4

surface area: 105.24

Answer:

Area of the right triangular prism = 84 cm²

Step-by-step explanation:

A  is the width of the right side rectangle = 4 cm

B is the length of the rectangle =  6 cm

C is the base of the triangle = 3 cm

D is width of the middle rectangle =  5 cm

b) Area of rectangle = length *width

 [tex]\sf Area \ of \ triangle = \dfrac{1}{2}*base *height\\\\Area of 2 triangles = 2 *\dfrac{1}{2}*base * height = base * height[/tex]

Surface area of the right triangular prism =   area of 2 triangle + area of left rectangle + area of middle rectangle + area of right rectangle

              =  3 * 4  + 3*6 + 5 * 6 + 4 *6

              = 12 + 18 + 30 + 24

              = 84 cm²

The amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53 based on the APR.

Annual percentage rate (APR) refers to the yearly interest generated by a sum that's charged to borrowers or paid to investors

For credit cards, the interest rates are typically stated as a yearly rate. This is called the annual percentage rate.

The amount of the $5200 charge that Francisco made during the first month has been paid off will be the total of the principal paid which is:

Principal paid = $47.67+$47.23+$46.80+$46.37+$45.94+$45.52

=$279.53

Therefore, the amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53.

In conclusion, the correct option is D.

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Complete question:

How much of the amount of the $5200 charge has Francisco paid off in the first month?

The net Change in latitude and longitude of the helicopter are; 28.47° and 7.35° respectively.

The net change in latitude of the helicopter can be evaluated as follows;

x = |-6.20° - 22.27°| = |-28.47°|

x = 28.47°

The net change in longitude of the helicopter can be evaluated similarly as follows;

y = |106.80° - 114.15°| = |-7.35°|

x= 7.35°

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The y-value of the terminal point of the vector is 3.

In this question we must apply a matricial form of rotation, which is a kind of rigid transformation. This transformation is defined by the following formula:

[tex]\vec A' = \vec T\cdot \vec A[/tex], where [tex]\vec A' , \vec A \in \mathbb{R}_{1 \times 2}[/tex], [tex]\vec T \in \mathbb{R}_{2 \times 2}[/tex]

If we knw that [tex]\vec A = \left[\begin{array}{c}- 4\\3\end{array}\right][/tex] and [tex]\vec T = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right][/tex], then the transformed vector column is:

[tex]\left[\begin{array}{cc}x\\y\end{array}\right] = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right] \cdot \left[\begin{array}{cc}-4\\3\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}x\\y\end{array}\right] = \left[\begin{array}{cc}4\\3\end{array}\right][/tex]

The y-value of the terminal point of the vector is 3.

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Answer:

3 2/5

Step-by-step explanation:

Each slash/mark on the number line is 1/5, meaning that 6 marks away is 3 2/5.

To further explain how I know each mark is 1/5, each question had a denominator of 5, and if you count each mark from 2 1/5 (2 2/5, 2 3/5, 2 4/5, 3, etc) you will eventually land on 4 evenly.

Answer:

B. The coefficient of the second term is -5.

and

D. The coefficient of the fourth term is -10.

Step-by-step explanation:

The coefficient is the number being multiplied by a variable.

Hope this helps!

Answer:

Tick:

- the coefficient of the second term is -5

- the coefficient of the fourth term is -10

Explanation:

The coefficient of an expression is simply the number placed before and multiplying the variable (e.g. 10x ; the coefficient is 10, the variable is x)

Hope this makes sense. Feel free to inquire further if need be!

- profparis

Using the normal distribution, the diameter that represents the 49th percentile is of 1.52 units.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Using a calculator, the mean and the standard deviation for the diameters are given as follows:

[tex]\mu = 1.524, \sigma = 0.1226[/tex]

The 49th percentile is X when Z = -0.025, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.025 = \frac{X - 1.524}{0.1226}[/tex]

X - 1.524 = -0.025 x 0.1226

X = 1.52.

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The ways that can be used to solve a quadratic equation include:

Factorization

Using the quadratic formula.

Completing the squares.

It should be noted that a quadratic equation simply means an algebraic equation of the second degree in x.

Here, the factorization, using the quadratic formula, and completing the squares method can be used.

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Answer:

1/3 = slope

Step-by-step explanation:

Start with

y = mx + b    

                  b = -5 given ,  now sub in the given point to calculate m =slope

-4 = m(3) - 5      add 5 to both sides

1 = m(3)               divide through by 3

1/3 = m = slope

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line above

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{4}}} \implies \cfrac{3 +2}{-1 -4}\implies \cfrac{5}{-5}\implies \cfrac{1}{-1}\implies -1 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{-1}} ~\hfill \stackrel{reciprocal}{\cfrac{-1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{-1}{1}\implies 1}}[/tex]

Refractory period brief time-out of the heart's electrical impulse that allows for sufficient time for ventricular filling between beats.

End-diastolic pressure is at its resting level (end-diastolic pressure) and ventricular volumes are at their maximum value when the heart muscle is relaxed (end-diastolic volume).

What is the state of the heart during systole?

What are the 4 phases of cardiac cycle?

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c2 =a2 +b2

that's the rule

for example

c2=5^2+5^2

c2=25+25

c2=50 square root is

c=7.07^2

Answer:

too small

Step-by-step explanation:

Answer:

[tex]x^2+(y-3)^2=36\\[/tex] and [tex]x^2+(y+8)^2=36[/tex]

Step-by-step explanation:

So the general formula for a circle is usually represented as: [tex](x-h)^2+(y-k)^2=r^2[/tex] where (h, k) is the center of the circle and r is the radius of the circle.

Since the diameter is 12, the radius is going to be 6, because the radius is half the diameter. We now square that value (since it's squared in the equation), you get 36, which is going to be on the right side.

The last thing to know is since it's on the y-axis, that means h=0, since if h didn't equal 1, it would either be to the right or left of the y-axis. So the equation should look something like this: [tex]x^2+(y-k)^2=36[/tex] where k can be any real number.

So this gives you the two equations:
[tex]x^2+(y-3)^2=36\\[/tex] and [tex]x^2+(y+8)^2=36[/tex]

There is a crossword that has three squares that need to be filled, how many possible three letter arrangements is 26!/23.

To find the number of possible three letter arrangements.

An arrangement of things in a certain sequence is what we refer to as a permutation. The constituents or components of sets are presented in this section in a sequential or chronological fashion. A coming together or merging of several parts or characteristics in which each of the constituent parts or traits retains its unique identity.

Given that:

26 possible letters

assuming you can repeat them

26*26*26

no listed

ok, lets assume that you can't repeat them

that is 26 times 25 times 24 (because you used 1 each time)

that is 26!/23 (because 26*25*24*23!=26!)

Hence, the number of possible three letter arrangements is 26!/23.

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Option is missing

A.26!

B.26!/3!

C.23!

D.26!/23

See below for the proof that the areas of the lune and the isosceles triangle are equal

The area of the isosceles triangle is:

[tex]A_1 = \frac 12r^2\sin(\theta)[/tex]

Where r represents the radius.

From the figure, we have:

[tex]\theta = 90[/tex]

So, the equation becomes

[tex]A_1 = \frac 12r^2\sin(90)[/tex]

Evaluate

[tex]A_1 = \frac 12r^2[/tex]

Next, we calculate the length (L) of the chord as follows:

[tex]\sin(45) = \frac{\frac 12L}{r}[/tex]

Multiply both sides by r

[tex]r\sin(45) = \frac 12L[/tex]

Multiply by 2

[tex]L = 2r\sin(45)[/tex]

This gives

[tex]L = 2r\times \frac{\sqrt 2}{2}[/tex]

[tex]L = r\sqrt 2[/tex]

The area of the semicircle is then calculated as:

[tex]A_2 = \frac 12 \pi (\frac{L}{2})^2[/tex]

This gives

[tex]A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2[/tex]

Evaluate the square

[tex]A_2 = \frac 12 \pi (\frac{2r^2}{4})[/tex]

Divide

[tex]A_2 = \frac{\pi r^2}{4}[/tex]

Next, calculate the area of the chord using

[tex]A_3 = \frac 12r^2(\theta - \sin(\theta))[/tex]

Recall that:

[tex]\theta = 90[/tex]

Convert to radians

[tex]\theta = \frac{\pi}{2}[/tex]

So, we have:

[tex]A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))[/tex]

This gives

[tex]A_3 = \frac 12r^2(\frac{\pi}{2} - 1)[/tex]

The area of the lune is then calculated as:

[tex]A = A_2 - A_3[/tex]

This gives

[tex]A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)[/tex]

Expand

[tex]A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2[/tex]

Evaluate the difference

[tex]A = \frac 12r^2[/tex]

Recall that the area of the isosceles triangle is

[tex]A_1 = \frac 12r^2[/tex]

By comparison, we have:

[tex]A = A_1 = \frac 12r^2[/tex]

This means that the areas of the lune and the isosceles triangle are equal

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Answer: -1/2

Step-by-step explanation:

The slope of a line tells you how steep the line is, and what direction it is going in. We can calculate the slope by seeing how much the line moves horizontally and vertically.

We can calculate the slope using [tex]\frac{rise}{run}[/tex], which is how much a point rises (goes up or down) and runs (goes left or right) to go to the next point.

Let's take two points on the graph: (-2, 0) and (0, -4). The rise will be the difference of the y-values, and the run will be the difference of the x-values.

[tex]\frac{-2-0}{0-(-4)}=\frac{-2}{4}=\frac{-1}{2}[/tex]

Hence, the slope of this line is [tex]\frac{-1}{2}[/tex]

Answer:

6.80 x 10⁻⁷ m

Step-by-step explanation:

You can find the value of λ by inserting the given values into the equation and simplifying.

c = vλ                                                            <----- Given equation

2.998 x 10⁸ m/s = (4.41 x 10¹⁴ s⁻¹)λ               <----- Insert values

6.80 x 10⁻⁷ m = λ                                          <----- Divide both sides by 4.41 x 10¹⁴