***40 POINTS*** A weather reporter states that tomorrow's temperature will be twice today's temperature, but that tomorrow's temperature will not be more than 4°F. Which graph shows the possible values for today's temperature?

Answer:

Step-by-step explanation:

1. How to Find Area of Trapezoid:

A=a+b/2*h

2. Apply Formula to question!

20+30/2=

50/2*12=

25*12

Answer: 300cm^2

a) The probability of selecting a white ball is 1/3. b) The probability of selecting B2, given that the selected ball is white, is 1/2. c) The probability of selecting a black ball from B3 is 1/2.

a) To calculate the probability of selecting a white ball, we consider the total number of white balls (4) out of the total number of balls in all three bowls (12). Since each bowl has an equal chance of being selected, the probability of selecting a white ball is 4/12, which simplifies to 1/3.

b) To calculate the probability of selecting B2, given that the selected ball is white, we need to consider the probability of selecting a white ball from B2 and divide it by the total probability of selecting a white ball from any of the bowls. The probability of selecting a white ball from B2 is 4/4 = 1, as all balls in B2 are white. The total probability of selecting a white ball is 4/12 = 1/3. Therefore, the probability of selecting B2, given that the selected ball is white, is (1/3)/(1/3) = 1/2.

c) The probability of selecting a black ball from B3 can be calculated as the number of black balls in B3 (2) divided by the total number of balls in B3 (4). Therefore, the probability of selecting a black ball from B3 is 2/4 = 1/2.

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You would reject the null hypothesis for a p-value of 0.08 and 0.05. So, the correct answer for rejection is a) and c).

A significance level of 10% means that the probability of rejecting the null hypothesis when it is actually true is 10%. This probability is also known as the Type I error rate.

If the p-value is less than or equal to the significance level, then we reject the null hypothesis. In this case, the significance level is 10%, so we would reject the null hypothesis for p-values less than or equal to 0.1.

Therefore, we would reject the null hypothesis for the p-value of 0.08 and 0.05, as they are less than or equal to the significance level of 10%. However, we would not reject the null hypothesis for the p-value of 0.89 and 0.11, as they are greater than the significance level.

So, the option a) and c) are rejected.

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Answer:

12

Step-by-step explanation:

Input interpretation: triangle | vertex coordinates (-3, 5) | (-3, 2) | (1, 2) | perimeter

Result: 12

Properties of Triangle:

When multiplying integers, the rules for determining the sign of the product are as follows:

1. If both integers have the same sign (either both positive or both negative), the product will be positive.

2. If one integer is positive and the other is negative, the product will be negative.

3. When multiplying zero by any integer, the product is always zero.

Remember to always multiply the absolute values of the integers and then determine the sign of the product based on the rules above.

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Answer:

The answer is x = 12 :)

Answer:

The solution is x = 12

Step-by-step explanation:

First, we need to group the like terms:

1/4x + 4 + 3 = 10

Next, we add the numbers 4 and 3 to get 7:

1/4x + 7 = 10

Then, we subtract 7 from both sides:

1/4x + 7 - 7 = 10 - 7

Next, we simplify:

1/4x = 3

Then, we multiply 4 to both sides:

4 * 1/4x = 3 * 4

Finally, we simplify:

x = 12

I hoped this helped you answer your question.

Answer: To expand the expression log6(x^3/7y), we can use the logarithmic properties, specifically the power rule and quotient rule of logarithms.

The power rule states that log(base b) (x^a) can be expanded as a * log(base b) (x), and the quotient rule states that log(base b) (x/y) can be expanded as log(base b) (x) - log(base b) (y).

Applying these rules, let's expand the given expression step by step:

log6(x^3/7y)

Using the power rule: 3 * log6(x/7y)

Applying the quotient rule: 3 * (log6(x) - log6(7y))

Simplifying: 3 * (log6(x) - (log6(7) + log6(y)))

Further simplifying: 3 * (log6(x) - log6(7) - log6(y))

Therefore, the expanded form of the expression log6(x^3/7y) is 3 * (log6(x) - log6(7) - log6(y)).

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

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

Total costs= cost of games +cost of rides

\(18.75= 1.25x +3.75y\)

Multiply the whole equation by 4 to remove the decimals:

\(75= 5x +15y\)

Simplify by dividing the whole equation by 5:

\(15 = x + 3y\)

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

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

\(\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}\)

x +3y= 15 -----(2)

x= -3y +15

\(\begin{tabular}{|c|c|c|c|}

\cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\

\cline{1-4}y & 1 &2&3\\

\cline{1-4}

\end{tabular}\)

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

Answer:

6 games=$7.5  3 rides=$11.25

1.25*6=7.5

3.75*3=11.25

7.5+11.25=18.75

We would have a graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 120 through the point 2 comma 100. Option A

We have to determine the nature of the graph that we have in the context of the question. In this case, we must recall that the function that we have would look something of the nature; y = 10x + 120 where y is the money raised and x is the number of students that attends the dance.

Here we can see that the nature of the equation just looks like the equation of the straight line graph that is given as; y = mx + c

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Answer:

15 goals

Step-by-step explanation:

We are given that

Total number of matches, n=6

Average score of team=2.5 goals

We have to find total number of goals scored by team.

We know that

Average value=Sum of data/total number of data

Using the formula

2.5=Total goals/6

Total goals\(=2.5\times 6\)

Total number of goals scored by team=15

Hence, the team has scored 15 goals in 6 matches.

Answer:

we need the tables.

Step-by-step explanation:

Answer:

-200, 0 and -5

Step-by-step explanation:

Area can never be zero or negative.

If the store's cost for the incentives was $103.The amount of  each incentive that were given away is: Free Rental  5, Box of popcorn 54.

Let Free Rental = r

Let Box of popcorn  = p

Total incentives:

r+p=59

r= 59-p Equation 1

r×1+p×2=103

r+2p=103 Equation 2

Put the value of r in (eq 2) from (eq 1)

r+2p=103  (eq 2)

59-p+2p=103

59+p=103

p=103-59

p=44

Put the value of p in (eq 1)

r=49-p...........(1)

r=49-44

r= 5

Free Rental = 5

Box of popcorn = 59 -5

Box of popcorn = 54

Therefore 5 and 54 incentive were given.

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The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The two cones below have the same radius, height, and volume.

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Since, Congruent cones must have congruent corresponding measures, including slant height.

The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.

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Answer:

Sample Response: The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.

What did you include in your response? Check all that apply.

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Congruent cones must have congruent corresponding measures, including slant height.

The least squares regression line predicts a 0.534 increase in score for each minute the potatoes are in the oven.

If the data shows a weak relationship between two variables, the line that best fits this linear relationship is called a least-squares regression line, and it minimizes the vertical distance of the data points from the regression line. The term "least squares" is used because it is the minimum of the sum of squared errors, also known as "variance".

In a regression analysis, the dependent variable is shown on the vertical y-axis and the independent variable is shown on the horizontal x-axis. These specifications form the equation for the line of best fit, determined by least squares.

According to the Question:

Reid notes the x number of minutes the potatoes were in the oven and a y rating from 1 to 10. The least squares regression line for this data set is:

                                   y = 0. 009x+3. 43

For each additional minutes a potatoes spends in the oven, then the least square regression line predicts its rating will increase by 0.534.

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The area of a 2D form is the amount of space within its perimeter. The total surface area of the formed figure is 615.75216 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the total surface area of one hemispherical object is 462 square centimeters, therefore, we can write,

The total surface area of the hemisphere = 3πr²

462 cm² = 3πr²

r² = 462/(3π) cm²

r² = 49.0197 cm²

r = 7 cm

Now, when the two hemispheres will be attached, the total surface area of the formed figure will be equal to the total surface area of a sphere,

Therefore, we can write,

Total surface area = 4πr²

                              = 4 × π × (7 cm)²

                              = 615.75216 cm²

Hence, the total surface area of the formed figure is 615.75216 cm².

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Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

\(v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s\)

Also,

\(v=r\omega\)

Where

\(\omega\) is the angular speed

So,

\(\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s\)

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

Answer:

7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters

Step-by-step explanation:

Formula of area of a triangle:

BH x 1/2

base x height x 1/2(basically just dividing by 2)

Answer:21 m2

Step-by-step explanation:

h= 6

b= 7

6x7= 42

42 divided by 2 = 21

Area= 21m

Answer:

30 s

Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

●h= 0

● -12t^2+360t =0

● t(-12t +360) = 0

● t = 0 or -12t +360 =0

● t=0 or -12t = -360

● t=0 or 12t =360

● t=0 or t=360/12

● t=0 or t= 30

The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.

The roots of the trigonometric equation 2 · sin² x + 3 · sin x - 2 = 0 are x₁ = 30° and x₂ = 150°.

In this problem we find a quadratic-like trigonometric equation, whose solution can be found by means of algebra properties and trigonometric formulas. First, write the trigonometric equation:

2 · sin² x + 3 · sin x - 2 = 0

Second, use the algebraic substitution u = sin x and find the roots of the resulting expression:

2 · [sin² x + (3 / 2) · sin x - 1] = 0

2 · [u² + (3 / 2) · u - 1] = 0

u₁ = 1 / 2 or u₂ = - 2

Third, reverse the algebraic substitution and find the angles associated to the trigonometric function:

sin x = 1 / 2

x₁ = 30° or x₂ = 150°

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To analyze regression 2 and 3, examine the "fact-based movie" coefficients to determine if fact-based movies have fewer, more, or just as many stars as fictional movies on average. Check p-values for statistical significance. Interpret results objectively.

To compare regression 2 and regression 3 and determine whether the regressions suggest that, on average, a fact-based movie has fewer stars than a fictional movie, more stars than a fictional movie, or just as many stars as a fictional movie, we need to analyze the results of the regressions.

1. Start by examining the coefficients of the "fact-based movie" variable in both regressions. If the coefficient is negative, it suggests that fact-based movies have fewer stars than fictional movies on average. If the coefficient is positive, it suggests that fact-based movies have more stars than fictional movies on average. And if the coefficient is zero, it suggests that fact-based movies have just as many stars as fictional movies on average.

2. Additionally, check the p-values associated with the coefficients. A p-value less than 0.05 indicates that the coefficient is statistically significant, meaning that it is unlikely to have occurred by chance. If the p-value is significant, it provides further evidence to support the suggestion made by the coefficient.

By examining these factors in regression 2 and regression 3, you will be able to determine whether the regressions suggest that fact-based movies have fewer stars, more stars, or just as many stars as fictional movies on average. Remember to interpret the results of the regressions accurately and objectively.

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Let D denote the region in the xy-plane bounded by the curves 3x+4y=8, 4y−3x=8, and 4y−x^2=1.

To sketch the region D, we first need to find the points where the curves intersect. Let's start by solving the given equations.

1) 3x + 4y = 8
  Rearranging the equation, we have:
  3x = 8 - 4y
  x = (8 - 4y)/3

2) 4y - 3x = 8
  Rearranging the equation, we have:
  4y = 3x + 8
  y = (3x + 8)/4

3) 4y - x^2 = 1
  Rearranging the equation, we have:
  4y = x^2 + 1
  y = (x^2 + 1)/4

Now, we can set the equations equal to each other and solve for the intersection points:

(8 - 4y)/3 = (3x + 8)/4    (equation 1 and equation 2)
(x^2 + 1)/4 = (3x + 8)/4    (equation 2 and equation 3)

Simplifying these equations, we get:
32 - 16y = 9x + 24    (multiplying equation 1 by 4 and equation 2 by 3)
x^2 + 1 = 3x + 8    (equation 2)

Now we have a system of two equations. By solving this system, we can find the x and y coordinates of the intersection points.

After finding the intersection points, we can plot them on the xy-plane to sketch the region D. To determine the symmetry of the region, we can observe if the region is symmetric about the x-axis, y-axis, or origin. We can also check if the equations of the curves have symmetry properties.

Remember to label the axes and any significant points on the sketch to make it clear and informative.

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Answer:

4x^2 +1656x + 1261

Step-by-step explanation:

X multiply by 4x is 4x^2 (4x squared)

x multiply by 7 is 7x

4x^2+7x

97 x 17x is 1649x

97 x 13 is 1261

1649x+1261

4x^2 + 7x + 1649x + 1261

1649x + 7x is 1656x

4x^2 +1656x + 1261

Answer:

6596x2+16587x+8827

Step-by-step explanation:

Question is asking about the percentage of buyers who paid certain prices for a certain model of new homes, assuming that the prices are normally distributed with a mean of $150,000. We can use the 68-95-99.7 rule, also known as the empirical rule, to find this percentage.

According to the 68-95-99.7 rule, for a normal distribution:
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% of the data falls within two standard deviations of the mean.
- Approximately 99.7% of the data falls within three standard deviations of the mean.

To find the percentage of buyers who paid a certain price, we need to determine how many standard deviations away from the mean that price is.

Let's consider some examples:

1. If a buyer paid $150,000, which is exactly the mean, it falls within one standard deviation of the mean. So, approximately 68% of the buyers paid this price.

2. If a buyer paid $162,000, which is one standard deviation above the mean, it falls within two standard deviations of the mean. So, approximately 95% of the buyers paid this price or less.

3. If a buyer paid $174,000, which is two standard deviations above the mean, it falls within three standard deviations of the mean. So, approximately 99.7% of the buyers paid this price or less.

By using the 68-95-99.7 rule, we can determine the approximate percentages of buyers who paid certain prices for the model of new homes.

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The values are as follows: (a) -0.52, (b) 0.68, (c) 0.7764, (d) the value of the PDF at 0.8 using the given parameters, and (e) 0.3300.

(a) The value at which the cumulative distribution function (CDF) of a standard normal distribution (N(0,1)) takes on the value of 0.3 is approximately -0.52.

(b) The value at which the CDF of a standard normal distribution (N(0,1)) takes on the value of 0.75 is approximately 0.68.

(c) The value of the CDF of a normal distribution N(-2,5) at 0.8 can be calculated by standardizing the value using the formula Z = (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation. After standardizing, we find that Z ≈ 0.76. Using a standard normal distribution table or calculator, we can determine that the CDF value at Z = 0.76 is approximately 0.7764.

(d) The value of the probability density function (PDF) of a normal distribution N(-2,5) at 0.8 can be calculated using the formula f(x) = (1 / (σ * √(2π\(^(-(x -\) μ)))) * e² / (2σ²)), where x is the given value, μ is the mean, σ is the standard deviation, and e is Euler's number (approximately 2.71828). Plugging in the values, we can compute the PDF at x = 0.8.

(e) The value of the CDF of a normal distribution N(-2,5) at -1.2 can be calculated in a similar manner as in part (c). After standardizing the value, we find that Z ≈ -0.44. Using a standard normal distribution table or calculator, we can determine that the CDF value at Z = -0.44 is approximately 0.3300.

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Answer:

2 and 4

Step-by-step explanation:

2 x 3 = 6

+

4 x 4 = 16

__________

22

For the figure shown in the image having TV as the midsegment, the length of TV is 40

When the comparable triangles' angles are congruent and their respective sides are proportionate, this is referred to as similar triangles in geometry.

In light of this, if the triangle's corresponding angles are congruent, then the side should be proportionate.

For the given figure, the proportionate sides are

UV and TV, UW and WX

Calculating for s

UV / TV = UW / WX

1 / (-2s + 42) = 2 / (3s + 77)

cross multiplying

3s + 77= 2(-2s + 42)

3s + 77= -4s + 84

collecting like terms

3s + 4s = 84 - 77

7s = 7

s = 1

solving for TV

= -2s + 42

= -2 * 1 + 42

= 40

the value of TV is 40

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Using synthetic division, the number 3 is used to multiply each term that is dropped down or added.

The multiplier is the zero of the divisor.

In this problem, the divisor is x - 3, hence:

x - 3 = 0 -> x = 3.

The number 3 is used to multiply each term that is dropped down or added.

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