A fair 7-sided die is tossed. Find P(2 or an odd number). That is, find the probability that the result is a 2 or an odd number. You may enter your answer as a fraction, or as a decimal rounded to 3 p

The answers are:

A= The median = 46

B= The mode = 16.75

C= the team need to work on their consistency.

The total numbers of points scored by both teams in each of the first 42 super bowl games are:

A= The  median

= 42 + 47/2

= 92/2

46

B=  The quartiles:

= 42 + 1/4

= 16.75

Therefore, The answers are:

A= The median = 46

B= The mode = 16.75

C= the team need to work on their consistency.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

The width of the rectangle is 3 yards and the length is 2(3) - 5 = 1 yard. Thus, the dimensions of the rectangle are 3 yards by 1 yard.

To find the dimensions of a rectangle, we can set up an equation based on the given information. By solving the equation, we can determine the width and length of the rectangle.

Let's assume the width of the rectangle is x. According to the given information, the length is 5 less than double the width, which can be expressed as 2x - 5. The area of the rectangle is the product of the length and width, which is given as 33. Setting up the equation, we have x(2x - 5) = 33.

Simplifying and rearranging the equation, we get 2x^2 - 5x - 33 = 0. By solving this quadratic equation, we find x = 3 and x = -5/2. Since the width cannot be negative, we discard the negative solution.

Therefore, the width of the rectangle is 3 yards and the length is 2(3) - 5 = 1 yard. Thus, the dimensions of the rectangle are 3 yards by 1 yard.

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Answer:

Yes

Step-by-step explanation:

7 = 2(4) -1

7 = -4 +11

The correct explanation for their similarity is option (D), which states that since the corresponding angles of triangles ZUVWXYZ and ZVWUZYZX are equal, the triangles are similar by angle-angle similarity.

To determine the similarity of triangles UVW and XYZ, we need to examine their corresponding angles and sides.

This statement suggests that if the corresponding angles of two triangles are equal, they are similar. In this given scenario, we are provided with the information that lines WU and ZX are parallel.

Consequently, we can observe that angle ZUV is congruent to angle ZYX since they are alternate interior angles formed by the parallel lines and the transversal line UZ. Similarly, angle ZWU is congruent to angle ZXY.

These two pairs of corresponding angles being equal satisfy the condition for angle-angle similarity.

Therefore, option (D) is the correct choice.

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Answer:

y = 1/2x - 6

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-5) / 8 - 2

3 / 6

= 1/2

y = 1/2x + b

-5 = 1/2(2) + b

-5 = 1 + b

-6 = b

Answer:

x = 145, y = 35

Brainliest, please!

Step-by-step explanation:

y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.

x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145

Answer:

i would say its d. 80

Step-by-step explanation:

cause 24/3 is 8

so 10 x 8 is 80

To find the number of chocolate chip cookies in the display case, we need to determine the proportion of chocolate chip cookies to the total number of cookies.

The ratio of chocolate chips to oatmeal raisin cookies is 2 to 3. This means that for every 2 chocolate chip cookies, there are 3 oatmeal raisin cookies.

Let's calculate the number of chocolate chip cookies:

1. Determine the total number of parts in the ratio: 2 + 3 = 5 parts.

2. Divide the total number of cookies by the total number of parts and multiply by the number of parts representing chocolate chip cookies:

  Chocolate chip cookies = (2/5) * 20 = 8 cookies.

Therefore, there are 8 chocolate chip cookies in the display case.

To provide evidence of understanding, I correctly applied the concept of ratio and proportion to determine the number of chocolate chip cookies based on the given ratio and the total number of cookies.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer: 20%

Step-by-step explanation: $1200 - $960 = $240

20% of 1200 is 240.

Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

-1 all the way to 5

Step-by-step explanation:

k/2 is always greater than -2

the function y = f(x) that satisfies the given conditions is y = 2x^3 - x^2 - 5x + C2, where C2 is a constant that can take any real value.

First, integrate y' with respect to x to find the first derivative y:

∫(y') dx = ∫(12x - 2) dx

y = 6x^2 - 2x + C1

Next, integrate y with respect to x to find the function f(x):

∫y dx = ∫(6x^2 - 2x + C1) dx

f(x) = 2x^3 - x^2 + C1x + C2

To determine the specific values of C1 and C2, we use the given condition that the line y = -x + 5 is tangent to the graph at x = 1.

Since the tangent line has the same slope as the function f(x) at x = 1, we can equate their derivatives:

f'(1) = -1

Taking the derivative of f(x), we have:

f'(x) = 6x^2 - 2x + C1

Substituting x = 1 and equating f'(1) to -1, we can solve for C1:

6(1)^2 - 2(1) + C1 = -1

6 - 2 + C1 = -1

C1 = -5

Now we have the values of C1 and C2. Plugging them back into the equation for f(x), we obtain the final function:

f(x) = 2x^3 - x^2 - 5x + C2

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Answer:

(a)∠1 and ∠6.

(b)∠5 and ∠6.

(c)∠3 and ∠4.

Explanation:

(a)Vertical Angles are angles that form an X-Shape.

A pair of vertical angles is ∠1 and ∠6.

(b)Linear pairs are two angles on a straight line that adds up to 180 degrees.

A linear pair is ∠5 and ∠6.

(c)A pair of supplementary angles are two angles that add up to 180 degrees.

An example is ∠3 and ∠4.

The hypothesis that should be written as an inequality is B. the alternative hypothesis.

The alternative hypothesis is a statement that contradicts the null hypothesis and is used to determine if there is a significant difference between two variables. It is often written as an inequality to show that there is a difference between the two variables being tested.

For example, if we are testing whether a new drug is more effective than a placebo, the alternative hypothesis would be written as "the new drug is more effective than the placebo," or in inequality form, "the effectiveness of the new drug > the effectiveness of the placebo."

In contrast, the null hypothesis is a statement that there is no significant difference between the two variables being tested. It is usually written as equality, such as "the new drug is equally effective as the placebo," or "the effectiveness of the new drug = the effectiveness of the placebo."

Therefore, the alternative hypothesis is the one that should be written as an inequality.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The correct answer is up until now, you have gained 18,963,816 coins.

Initially, you were gaining 5 coins per minute. After 4 hours, the rate increased by 1 coin per minute, so you were gaining 6 coins per minute.

To calculate the number of coins gained, we need to convert the given time of 52674 hours to minutes. There are 60 minutes in an hour, so:

52674 hours * 60 minutes/hour = 3,160,440 minutes

Now we can calculate the number of coins gained:

For the first 4 hours:

4 hours * 60 minutes/hour * 5 coins/minute = 1,200 coins

For the remaining time:

(3,160,440 minutes - 4 hours * 60 minutes/hour) * 6 coins/minute = 18,962,616 coins

Adding the coins gained during the initial 4 hours to the coins gained during the remaining time:

1,200 coins + 18,962,616 coins = 18,963,816 coins

Therefore, up until now, you have gained 18,963,816 coins.

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Answer: .3333 is a rational number

Step-by-step explanation: The number goes and forever repeating itself.

All expressions that are equivalent to 8.5x + 0.5 +3.5x - 2x are (12x - 2x + 0.5) and (10x + 0.5).

Expressions that are equivalent perform the same thing even when they have distinct appearances.

When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

By combining like terms, we can create expressions that are equivalent to a given expression. Terms with the same variables raised to the same powers are said to be "like terms". 

Here we have

8.5x + 0.5 +3.5x - 2x

The above expression can be simplified as given below

=>  8.5x + 0.5 +3.5x - 2x  

Add and subtract like terms

=> 8.5x +3.5x - 2x + 0.5

=> 12x - 2x + 0.5

=> 10x + 0.5  

Therefore,

All expressions that are equivalent to 8.5x + 0.5 +3.5x - 2x are (12x - 2x + 0.5) and (10x + 0.5).

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Answer:

1. Given the slope is 2, the equation now looks like y = 2x +b Given P (−1,4) we can solve for the b variable by substituting the x and y cordinates. 4 = 2 ⋅ (− 1) + b 4 = − 2 + b b = 6 Therefore the equation that has the slope of 2 and passes through the point (− 1,4) is y = 2x + 9 so it is d

2. i you can do that.

3. The equation for the slope of a line and the points also called point slope form of equation of a straight line is given by: y − y1 = m (x − x1) Whereas the slope-intercept form the equation of the line is given by: y = mx + b. Where b is the y-intercept.

4.In the formula,y = the y-coordinate of any point on the line,m = slope,x = the x-coordinate of any point on the line,and b = ...

Plug the slope and y-intercept into the formula. Remember,the slope is equal to the rise over the run.

You need to know these

To  have a total mass of 1 googol kilograms, 1.674480911 × 10 ⁷⁵ earths are needed

Given that:

1 googol = 10¹⁰⁰

Earth's mass is 5.972×10²⁴ kilograms

In order to find how many earths are needed to have a total mass of 1 googol kilograms, you need to divide  1 googol kilograms by Earth's mass (5.972×10²⁴ kilograms). Thus:

Number of earths needed =  10¹⁰⁰ / 5.972×10²⁴

Number of earths needed = 1.674480911 × 10 ⁷⁵ earths

Therefore, 1.674480911 × 10 ⁷⁵ earths are needed to have a total mass of 1 googol kilograms

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Answer:

x = 2, y = 4

Step-by-step explanation:

x + \(\frac{3}{4}\) y = 5 ( multiply through by 4 to clear the fraction )

4x + 3y = 20 → (1)

x - \(\frac{1}{2}\) y = 0 ( multiply through by 2 to clear the fraction )

2x - y = 0 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate y

6x - 3y = 0 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 20

10x = 20 ( divide both sides by 10 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

4(2) + 3y = 20

8 + 3y = 20 ( subtract 8 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is x = 2, y = 4

The probability that a student will get at least one question correct is 96.875%.

Given that a true/false pop quiz contains five questions.

We have to find the probability that when guessing, a student will get at least one question correct.

For every question, there are only two possible cases. Either it is guessed correctly, or it is not.

So, here the binomial probability distribution is used to solve this question.

The binomial probability states that the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X=x)=ⁿCₓpˣ(1-p)ⁿ⁻ˣ

Here ⁿCₓ shows the number of different combinations of x objects from a set of n elements.

We want to find the probability for at least one correct solution that means P(X≥1)=1-P(X=0)     .....(1)

So, firstly, we will find P(X=0) by using binomial distribution.

Here, x=0, n=5 and p=1/2

Substitute these values, we get

P(X=0)=⁵C₀(1/2)⁰(1-(1/2))⁵⁻⁰

P(X=0)=⁵C₀(1/2)⁰(1/2)⁵

P(X=0)=0.03125

Substitute these values in equation (1), we get

P(X≥1)=1-0.03125

P(X≥1)=0.96875 or 96.875%

Hence, the probability that when guessing, a student will get at least one question correct when a true/false pop quiz contains five questions is 96.875%.

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Answer: 420

Step-by-step explanation:

Answer:143.30

Step-by-step explanation: