Construct a probability distribution for a discrete random variable uses the probability experiment of tossing a coin three times. Consider the random variable for the number of heads

Answer: y = x ( x )= non linear

y = x = linear

y = x ^2 + 1 =non linear

y= 5 (x+2) = linear

y = x^1 + 2= linear

Step-by-step explanation: I calculated all in a website

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:

14 questions correct

Step-by-step explanation:

x/20 *100 = 70

so x/ 20 = 70/100(0.7)

x/20 = 0.7

x = 0.7*20

x =14

Answer:

I think it is true! I might be wrong though.

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Option (1)

In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.

Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.

And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.

Option (2)

In this option, graph is below the x-axis in the interval [-1, 1].

Therefore, the given graph is negative in this interval.

Option (3)

In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.

Option (4)

In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.

So this function is positive in the interval [-1, 1].

Therefore, Option (2) will be the answer.

Answer:b since I got the others wrong

Answer:

-45

Step-by-step explanation:

y/9 + 5 = 0

=>y/9 = - 5

=>y=9x-5

=>y=-45

Answer:

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:

C = π(14 cm)

Multiplying, we get:

C = 14π cm

So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.

The answers are a) FR = 365 N b) u = 70.8° d and c) (MR)O = 2364 N m (counterclockwise)

When an object is subject to several forces, the resultant force is the force that alone produces the same acceleration as all those forces.

Given is a figure, we need to find equivalent resultant force and couple moment at point O

Equivalent Resultant Force And Couple Moment At O.

+→ (FR)x = ΣFx; (FR)x = 600 cos 60° - 455(12 / 13)

= -120 N = 120 N ←

+ ↑ (FR)y = ΣFy; (FR)y = 455(5/13) - 600 sin 60° = -344.62 N = 344.62 N ↓

As indicated in Fig (attached)

a) FR = √F(R)x²+F(R)y²

= √2120² + 344.62² = 364.91 N = 365 N

And

b) θ = tan-1{(FR)y / (FR)x}

= tan-1 {344.62/120}

= 70.80°

Also,

c) a+(MR)O = ΣMO; (MR)O = 455(12/13)(2) + 600 cos 60° (0.75) + 600 sin 60° (2.5)

= 2364.04 N m

= 2364 N m (counterclockwise)

Hence, The answers are a) FR = 365 N b) u = 70.8° d and c) (MR)O = 2364 N m (counterclockwise)

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Explanation:

x = the unknown number

19x = the product of 19 and the unknown number

x+3 = the unknown number increased by 3

Set those two expressions equal to one another. Isolate x.

19x = x+3

19x-x = 3

18x = 3

x = 3/18

x = 1/6

The unknown number is the fraction 1/6.

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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Answer:

D

Step-by-step explanation:

2.33 I think

The critical value that corresponds to a 91% confidence level is 1.7

'Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.'

According to the given problem,

Confidence level = 91%

Now, α = ( 100 - 91 ) %

             = 9%

             = 0.09

Area of each tail = \(\frac{0.09}{2}\)

                             = 0.045

Area in the middle = 1 - 0.045

                               = 0.955

Now, if we look up this area on the z-table, the critical value will come as 1.6954, which is nearly equal to 1.7.

Hence, we can conclude, the critical value is 1.7.

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The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month

The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.

Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.

Complete Question:

Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month

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The amount of petrol left remaining in the car after Tuesday journey is (x/2) - 2

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

A car has x litres of petrol in its tank. One half is used on Monday. Therefore:

Amount of petrol remaining = x - (1/2) of x = x - x/2 = x/2

A further 2 litres on Tuesday, hence:

Amount of petrol left = (x/2) - 2

The amount of petrol left is (x/2) - 2

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Using the concept of cluster sampling, it is found that the example which represents it is:

C. Select a few​ dorms, and sample all of the students in those particular dorms.

In this problem, the example is given by option C, in which each dorm is a group, and all students in the dorm, that is, each element of the group, is surveyed.

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\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-5)}}} \implies \cfrac{7 -1}{-2 +5}\implies \cfrac{6}{3}\implies 2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{(-5)})\implies y-1=2(x+5)\)

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

Answer:

24 feet

Step-by-step explanation:

distance away is x

tan(20)=x/65

65*tan(20)=x

x=23.65806... feet

round to the nearest foot

x=24

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

$0.85

Step-by-step explanation:

if you multiply 7x0.76=5.32

and then subtract the 6.17-5.32=$.85

Answer:

.85

Step-by-step explanation:

Multiply .76x7 then subtract 5.32 from 6.17 and you get 0.85.

The area of the shaded region = 30.903 in²

From the attached figure we can observe that the radius of the circle R is r = 6 in.

Using the forula for the area of circle, the area of circle R would be,

A₁ = πr²

A₁ = π × 6²

A₁ = 36π

A₁ = 113.097 in²

So, the diameter would be d = 6 × 2 = 12 in.

The circle R is inscribed in a square.

So, the side length of square is equal to the diameter of the circle.

This means the side length 'a' os square = 12 in.

Using the formula of the area of square,

A₂ = side²

A₂ = a²

A₂ = 12²

A₂ = 144 in²

so, the area of the shaded region would be,

A = A₂ - A₁

A = 144 -113.097

A = 30.903 in²

This is the required area.

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The given quadrilaterals, 1 and 2,  are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.

3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.

4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.

3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:

Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:

AB = √((7 - 0)² + (1 - 0)²) = √50

BC = √((5 - 7)² + (6 - 1)²) = √29

CD = √((-2 - 5)² + (5 - 6)²) =√50

DA = √((0 - (-2))² + (0 - 5)²) = √29

We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.

Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:

Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:

Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5

Slope of RS = (4 - 3) / (4 - (-1)) = 1/5

Slope of QR = (4 - 1) / (4 - 3) = 3

Slope of SP = (3 - 0) / (-1 - (-2)) = 3

The lengths of opposite sides can be calculated using the distance formula:

PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26

RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3

QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10

SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10

We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.

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16  Students bought orange juice.

20 students bought sandwich.

What is addition method?

Using the Addition Method to Solve Systems of Equations in Two Variables. The addition approach, often known as the elimination method, is a third strategy for resolving linear equation systems. With this approach, we combine two components that share the same variable but have opposing coefficients, resulting in a sum of zero.

Let, each of 36 students at a school play bought either cup of orange juice or a sandwich.

A cup of orange juice costs $1 and a sandwich costs $3.

The total amount collected was $76.

Let x represent the number of students who bought a cup of orange juice and

y represent the number of students who bought a sandwich.

Then the problem can be represented by system of equations:

x + 3y = 76             ..(1)

x + y = 36               ..(2)

Multiply equation (2) by -3.

-3x - 3y = -108          ..(3)

Adding equation (1) and (3)

(x + 3y) + (-3x - 3y) = 76 - 108

                        -2x = -32

                           x = 16

Plug x = 16 in equation (2)

16 + y = 36

      y = 36 - 16

      y = 20

Hence, 16 Students bought orange juice and  20 students bought sandwich.

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Answer:

20/4

Step-by-step explanation:

Because that would mean 20 divided by 4 which wouldn't accumulate to 80

Step-by-step explanation:

the process is shown in the picture.

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer:

Net Mass = 520 g

Step-by-step explanation:

Given:

Waste = 240 g

Gross mass = 760 g

Find:

Net Mass

Computation:

Net Mass = Gross mass - Waste

Net Mass = 760 g - 240 g

Net Mass = 520 g

The answer to this question is a 4 point increase. This is because the change in value of the stock is measured based on the difference between the current value and the previous value.

It is determined by the supply and demand of buyers and sellers in the market. The price of a stock can fluctuate daily and is a reflection of the market's opinion of the company. It is important for investors to keep track of stock prices in order to make informed decisions about their investments.

In this case, the stock price increased from 1 point to 4 points, indicating a 4 point increase.

This can be expressed mathematically as follows:

Change in stock price = Current Value - Previous Value

Change in stock price = 4 - 1

Change in stock price = 3

Therefore, the stock's value increased by 4 points. This is because the change in value is calculated by subtracting the previous value from the current value.

In this case, the stock price increased by 3 points, resulting in a 4 point increase.

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