what is 3/4 and 5/12 simplified in fraction form plz idk ​

Using a discrete distribution, we have that:

a) The expected value is of $250 per policy sold.

b) The expected profit for 10,000 policies is of $2,500,000.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Considering that an insurance profit sells for $600, the distribution of the company's earnings is given as follows:

Hence the expected value for a policy sold is given by:

E(X) = 600(0.965) - 4400(0.02) -9400(0.01) - 29400(0.005) = 250.

For 10,000 policies, the expected profit is given by:

E = 10000 x 250 = 2,500,000.

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We have been given that two datasets arranged in descending order are: \(\{8, x, 4,1\}\) and \(\{9, y, 5,2\}\). We are asked to find the value of \((y-x)^2\), if the medians of the two given datasets are equal.

First of all, we will arrange our given data sets in ascending order.

\(\{1,4,x,8\}\) and \(\{2,5,y,9\}\)

Since our data sets have 4 data points, so median will be average of middle two terms.

\(\frac{4+x}{2}\) and \(\frac{5+y}{2}\)

Now we will equate both median as we are told that median of both data sets are equal.

\(\frac{5+y}{2}=\frac{4+x}{2}\)

Cross multiply:

\(2(5+y)=2(4+x)\)

Divide both sides by 2:

\(\frac{2(5+y)}{2}=\frac{2(4+x)}{2}\)

\(5+y=4+x\)

\(5-5+y-x=4-5+x-x\)

\(y-x=-1\)

Let us square both sides of our equation.

\((y-x)^2=(-1)^2\)

\((y-x)^2=1\)

Therefore, the value of \((y-x)^2\) would be 1.

Answer:

6(3) - 4 - 3²

Step-by-step explanation:

(g - f) = 6x - (4 - 2x²)

= 6x - 4 - 2x²

and when we replace x with 3 ,it will be

6(3) - 4 - 3²

hope this helps

Answer:

Basically what the person on top of me said

Step-by-step explanation:

Got it right !

Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9

The values of the identity are;

a. tan Z  = 3/4

b. sin C = 4/10

c. tan Z = 20/21

d.  cos A =  5/13

e. tan Z = 9/12

To determine the value, we need to know the different trigonometric identities, we have;

From the information given, we have that;

a. tan Z = opposite/adjacent

substitute the values

tan Z = 24/32 = 3/4

b. sin theta = opposite/hypotenuse

sin C = 24/40 = 4/10

c. tan Z = opposite/adjacent

tan Z = 20/21

d. cos theta = adjacent/hypotenuse

cos X = 20/15 = 4/3

e. cos A = 15/39 = 5/13

d. tan Z = 27/36

tan Z = 9/12

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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The figures cone Z and cylinder Y have the same volume.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic metre (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.

The formula for volume of the cone Z is given by

Volume = 1/3* pi * radius *radius *height

The formula for volume of the cylinder Y is given by

Volume =  pi * radius *radius *height

Since, it is given that Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.

Thus, substituting  in the formula of volume of the cone Z, we get,

Volume = 1/3* pi * radius *radius *3*height

Simplifying, we have,

Volume =  pi * radius *radius *height

Hence, the volume of the cone Z = volume of the cylinder Y

Thus, the figures cone Z and cylinder Y have the same volume.

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Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385

If no estimate of the sample proportion is available , then n= 601

Step-by-step explanation:

Let p be the prior population proportion of people who traveled overseas last year.

If p is known, then required sample size = \(n=p(1-p)(\dfrac{z^*}{E})^2\)

z-value for 95% confidence = 1.96

E = 0.04  (given)

\(p=\dfrac{40}{200}=0.2\)

\(n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385\)

Required sample size = 385

If p is unknown, then required sample size = \(n=0.25(\dfrac{z^*}{E})^2\)

, where E = Margin of error , z* =critical z-value.

z-value for 95% confidence = 1.96

E = 0.04  (given)

So, \(n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601\)

Required  sample size = 601.

The surface area of the given two rectangular prism is given as follows:

498 cm².

The surface area of a rectangular prism of length l, width w and height h is given as follows:

S = 2(lw + wh + hl).

For this problem, there are two prisms, with dimensions given as follows:

Hence the surface area of the figure is the combined surface area of each figure, hence:

S = 2(7 x 7 + 12 x 7 + 12 x 7) + 2(2 x 7 + 2 x 2 + 7 x 2) = 498 cm².

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This is a linear and non-proportional table.

Answer:

E

Step-by-step explanation:

So we already know that:

\(\lim_{x \to 5} f(x)=2 \text{ and } \lim_{x \to 5} g(x)=-6\)

So, go through each of the choices and see which ones are correct.

I)

We have:

\(\lim_{x \to 5} (f(x)+g(x))\)

This is the same as saying:

\(\lim_{x \to 5} f(x)+ \lim_{x \to 5} g(x)\)

And since we already know the values:

\(=(2)+(-6)\\=-4\)

So, the limit does indeed exist.

II)

We have:

\(\lim_{x \to 5} \frac{f(x)}{g(x)+6}\)

This is the same as:

\(\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+ \lim_{x \to 5} 6 }\)

The bottom right one is just 6. Simplify:

\(\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+6}\)

Substitute the values we know:

\(=\frac{(2)}{(-6)+6} \\=2/0\)

This is a value over zero. Unlike the indeterminate form 0/0, this limit does not exist.

III)

We have:

\(\lim_{x \to 5} \frac{f(x)-2}{g(x)}\)

Again, this is the same as:

\(\frac{ (\lim_{x \to 5} f(x))-2}{ \lim_{x \to 5} g(x)}\)

Substitute in the values we know:

\(=\frac{(2)-2}{(-6)}\\ =0/-6=0\)

The limit does exist and it is 0.

So, the limits of only I and III exist.

The correct answer is E.

Answer:

10

Step-by-step explanation:

Solution 1: At first, you might think that because there are 5 ways to choose the first store and 4 ways to choose the second store, the answer is 5 * 4 = 20 but this is over-counting by a factor of 2. Say that two of the stores are A and B. If she went to A then B, that's the same as going to B then A since you still go to the same stores, therefore, the answer is 20 / 2 = 10.

Solution 2: We need to find the number of ways to choose 2 stores from 5, we can do this by calculating ₅C₂ which equals:

5! / 2!  * 3!

= 5 * 4 * 3 * 2 * 1 / 2 * 1 * 3 * 2 * 1

= 5 * 4 / 2 * 1

= 10

Answer:

  10.  x = 4

  11. UT = 44

Step-by-step explanation:

You want the value of x and the length of segment UT that bisects chord PR at point U into halves marked UP = (9x -3) and UR = (7x +5). The radius of circle T is 55 units.

Point U is the midpoint of chord PR, so ...

  UP = UR

  9x -3 = 7x +5

  2x = 8 . . . . . . . . . add 3-7x

  x = 4 . . . . . . . . divide by 2

Segments UP, UT and TP form a right triangle with one leg ...

  UP = 9(4) -3 = 33

and hypotenuse 55.

We observe that the ratio of these measures being 33/55 indicates triangle PUT is a 3-4-5 right triangle, with scale factor 11. That means UT is 4·11 = 44 units.

  UT = 44 units

__

Additional comment

Recognizing triangles made from Pythagorean triples, such as {3, 4,5}, {5, 12, 13}, {7, 24, 25}, or {8, 15, 17} can save a lot of work. If you don't recognize these, you can find the missing side length from ...

  TP² = UP² +UT²

  UT = √(TP² -UP²) = √(55² -33²) = √1936 = 44

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Check the picture below.

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Answer:

The Answer is A. The height of the water increases 0.3cm per year. I Just took the Quiz and And got it correct

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer:

m=-52

Step-by-step explanation:

1) multiply both sides by 4

m=-13×4=-52

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

Remember that the area of a circle of radius R is given by the formula:

\(A = pi*R^2\)

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

\(A = 3.14*(11ft)^2 = 379.94 ft^2\)

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

\(C = 2*pi*R\)

Then the length of the rope will be:

\(C = 2*3.14*11ft = 68.2ft\)

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Answer:

y= 44

Step-by-step explanation:

you know 4y so just

×11 and you get 44

Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

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Answer: is 14 square feet bro

Step-by-step explanatio

Answer:

look at the picture i have sent. thanks for the points

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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Answer:

85º

Step-by-step explanation:

<7=<4 since we know the lines are parallel, and intersected at the same angle

Therefore, <7=85º.

Answer:-21 = 7

Step-by-step explanation:

Answer:

It's actually -7 I took the test and did the other answer and i got it wrong.

Step-by-step explanation:

Answer:

2. the cost of an apple

Step-by-step explanation:

the cost can't be changed by anything

Answer:

1: the amount of the grocery bill