in a group of 900 students, 612 like football and540 like volleyball. If all the students like at least one
game, find the following by using Venn diagram how many students like both game ?How many students like only football?

Step-by-step explanation:

y=57x-8y=-12

so we put the Y

y=-12

-12=57x-8y

57x-8x(-12)=-12

(-36/19,-12)<---- answer

The dimensions that minimize the perimeter are 41.6, 41.6.

According to this statement

we have to find the dimensions of the given rectangle with the help of the area and perimeter of rectangle.  

So, For this purpose, we know that the

The area is given as:

A = 1728

Let the dimension be x and y.

A = xy = 1728

So, we have:

Make x the subject

x = 1728/y

Then

The perimeter is calculated as:

P = 2(x +y)

substitute x here then

P = 2(1728/y +y)

P = 3456/y + 2y

And differentiate it then

-3456/y^2 +2 = 0

Then

3456/y^2 = 2

2y^2 = 3456

y = 41.6 then find x

and x = 1728/41.6

x = 41.6.

So, The dimensions that minimize the perimeter are 41.6, 41.6

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To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).

We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):

C'(x) = 6x - 1500

Now we set C'(x) = 0 and solve for x:

6x - 1500 = 0

6x = 1500

x = 250

Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.

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Did you forget to add a picture or something? I don't know how to answer this question properly.  

The sum of first 10 terms is 72.

Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Arithmetic Progression Formula

= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Given:

Eighth term is 8.2

Common difference is 0.4

a(8) = 8.2

a + 7d = 8.2

Since d = 0.4

a + 7(0.4) =8.2

a = 5.4

Sum of 10 terms = n/2 (2a+(n-1)d)

= 5(2*5.4 + 9*0.4)

=5(10.8 +3.6)

Sum=72

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Given, the function is f(x,y,z)=5+yxz+g(x,z)Here, we need to find the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) . The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

Using the formula of the directional derivative, the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is given by

(f(x,y,z)) = grad(f(x,y,z)).v

where grad(f(x,y,z)) is the gradient of the function f(x,y,z) and v is the direction vector.

∴ grad(f(x,y,z)) = (fx, fy, fz)

                       = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Hence, fx = ∂f/∂x = 0 + yzg′(x,z)fy

                = ∂f/∂y

                = xz and

fz = ∂f/∂z = yx + g′(x,z)

We need to evaluate the gradient at the point (3,0,3), then

we have:fx(3,0,3) = yzg′(3,3)fy(3,0,3)

                             = 3(0) = 0fz(3,0,3)

                             = 0 + g′(3,3)

                             = g′(3,3)

Therefore, grad(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))Dv(f(x,y,z))(3,0,3)

                                                 = grad(f(x,y,z))(3,0,3)⋅v

where, v = (0,4,0)Thus, Dv(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))⋅(0,4,0)   = 0

The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

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Therefore, it can be seen that the CIA profit/loss is $111,878.

Borrow $4 million in USD at the 4-month interest rate of 2.9%.

Convert the USD to CAD at the spot rate of 1.278 CAD/USD.

Invest the CAD in a 4-month Canadian deposit account at the 4.7% interest rate.

Sell the CAD forward at the 4-month forward rate of 1.2902 CAD/USD.

After 4 months, repay the USD loan and settle the forward contract.

The profit/loss from the CIA strategy is calculated as follows:

Profit/loss = (Interest earned on CAD deposit - Interest paid on USD loan) - (Forward rate - Spot rate)

In this case, the profit/loss is calculated as follows:

Profit/loss = (0.047 * 4,000,000 - 0.029 * 4,000,000) - (1.2902 - 1.278)

= $112,000 - $0.12

= $111,878

Therefore, the CIA profit/loss is $111,878.

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Answer:

Step-by-step explanation:

True-False questions consists of 2 possible answer, which are 50% each, so basically is Charlie was just guessing 201 questions, which means his possibility of getting everything correct is \(\frac{1}{2^2^0^1}\), which is really small, his chance of getting 53,7% correct is \(\frac{1}{2^2^0^1 * 0.537}\) which is roughly arround \(\frac{1}{2^2^0^0}\)

\(area = l \times w \\ area = 34 \times 17 \\ area = \: 578 {mm}^{2} \)

\(Area \: of \: the \: triangle = ½× width×height. \\ area \: = \frac{1}{2} \times 34 \times 6 \\ area = 34 \times \frac{ {\cancel6} {}^{ \: \: 3} }{ \cancel2} \\ area = 34 \times 3 \: {mm}^{2} \\ area = 102 {mm}^{2} \)

\(volume \: = area \: \times length \\ vol = 102 \times 17 \: \: {mm}^{3} \\ vol \: = 1734{mm}^{3} \)

Answer:

1734 mm² = volume

\( \\ \\ \\ \\ \)

Answer:

1x + 46 or x + 46

Step-by-step explanation:

4(-8x + 5) – (-33x – 26)

-32x + 20 + 33x + 26

1x + 46

or x + 46

Answer:

keep 4/9 as it is.

multiply 2/3 by 3/3 and you get 6/9.

add 4/9 and 6/9.

you get 1 and 1/9 as your answer.

Answer:

use formula

slope m =(y2-y1)/(x2-x1)

Step-by-step explanation:

for first one

(x1,y1)=(2,1)

(x2,y2)=(0,-3)

now

slope m =(y2-y1)/(x2-x1)=(-3-1)/(0-2)=-4/-2=2

try other thank you hope it helps

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer: 8

Step-by-step explanation:

PEMDAS

Answer: \(x=4, y=3\)

Step-by-step explanation:

\(\left \{ {y=7 - x} \atop {y=x - 1}} \right.\),

\(7 - x=x - 1\)

\(2x=8,\)

\(x=4, y=3\)

Answer: -4, -6, and -8, respectively. You must multiply each phrase by -2 to get to the next term (or remove it by 2). The next three terms would be -4, -6, and -8 as a result.

Answer:

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.

Answer:

8x miles

Step-by-step explanation:

distance = speed * time

Here the speed for run is 8 mph and time is x hours

So distance covered: 8 * x = 8x miles.

Answer:

\( \boxed{Volume \: of \: rectangular \: prism = 2166 \: {ft}^{3}} \)

Explanation:

Volume of rectangular prism is same as volume of cuboid

Length = 19 ft

Width = 6 ft

Height = 19 ft

Volume of rectangular prism = Length × Width × Height

= 19 × 19 × 6

= 19² × 6

= 361 × 6

= 2166 ft³

The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

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Answer:

A. 85%

   135%

B.15%

C.24 gallons

Step-by-step explanation:

A.

B.80-12=68.00    80X15%=12.00

C.6x4=24

Answer:

98.5 degrees

Explanation:

According to the 'angles inside the circle theorem,' do

(101+96)/2 = 98.5

Have a blessed day!

Answer:

Step-by-step explanation:

Formula

<x = 1/2 (arc 1 + arc2)

This is the basic angle formula for the way two chords intersect.

Givens

arc1 = 96

arc2 = 101

Solution

<x = 1/2 (arc1 + arc2)                 Substitute values

<x = 1/2(96 + 101)

<x = 1/2(197)

<x = 98.5

Answer

x = 98.5

Answer:

The third side will also be 60 as it is an equilateral triangle

Answer:

(12-3)/1.5= 6

Step-by-step explanation:

You subtract $3 from $12 for the first fee and then divide $9 by $1.50 to find how many hours you can stay.

Answer:

(12 - 3) ÷ 1.5 = 6

Answer:

The correct choice is D.

The value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

To solve the equation 2x + 8 + 4x = 22, we need to combine like terms and isolate the variable x.

Combining like terms, we have:

6x + 8 = 22

Next, we want to isolate the term with x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 22 - 8

6x = 14

To solve for x, we divide both sides of the equation by 6:

(6x) / 6 = 14 / 6

x = 14/6

Simplifying the fraction 14/6, we get:

x = 7/3

Therefore, the value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

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Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

2L < 3W

Twice the length 2 × L

less <

three times the width (w

3×W

Answer:

a° = c°

Step-by-step explanation:

parallelogram's opposite angles are equal

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