Find the angles of the triangle whose vertices are A(-6, 8),
B(7, 7), C(9, -6). (Standard notation for triangle ABC is used
throughout. Use a calculator and round off your answers to one
decimal place

The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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(a) Estimate for women's mean viewing time can be obtained from the coefficient estimate for the dummy variable W.

(b) Difference in mean viewing time between women and children can be obtained by subtracting the coefficient estimate for the dummy variable C from the coefficient estimate for the dummy variable W.

(c) Difference in mean viewing time between women and teenagers can be obtained by subtracting the coefficient estimate for the dummy variable T from the coefficient estimate for the dummy variable W.

The PROC GLM output provides the estimates for the model coefficients. To answer the questions:

(a) The estimate for women's mean viewing time (μw) can be obtained from the coefficient estimate for the dummy variable W.

(b) The difference in mean viewing time between women and children (μw - μc) can be obtained by subtracting the coefficient estimate for the dummy variable C from the coefficient estimate for the dummy variable W.

(c) The difference in mean viewing time between women and teenagers (μw - μt) can be obtained by subtracting the coefficient estimate for the dummy variable T from the coefficient estimate for the dummy variable W.

By examining the coefficient estimates in the PROC GLM output, you can determine the specific values for (a), (b), and (c) in the context of the given ANOVA model.

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The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

h= |x/3| equation that represents a horizontal stretch by a factor of 3 of the graph of g(x)=|x| .

Translation is the process of reworking text from one language into another to maintain the original message and communication.

The parent function is: g(x)=|x|

we stretch the parent function y = |x| by a factor of 3.

h= |x/3|

If the constant is between 0 and 1, we get a horizontal stretch

if the constant is greater than 1, we get a horizontal compression of the function.

Hence h= |x/3| equation that represents a horizontal stretch by a factor of 3 of the graph of g(x)=|x| .

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Answer:

7

Step-by-step explanation:

Answer:

  A: the proposed route is 3.09 miles, so exceeds the city's limit

Step-by-step explanation:

The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...

  a^2 = (12-6)^2 +3^2 = 45

  a = √45 = 3√5

and

  b^2 = (6 -2)^2 +4^2 = 32

  b = √32 = 4√2

Then the total length, in grid squares, is ...

  3√5 + 4√2 = 6.7082 +5.6569 = 12.3651

If each grid square is 1/4 mile, then 12.3651 grid squares is about ...

  (12.3651 squares) · (1/4 mile/square) = 3.0913 miles

The proposed route is too long by 0.09 miles.

Cathy needs a total of 57,600 square cm of wrapping paper and 35,200 square cm of cardboard to wrap and package all 100 gifts.

To calculate the total amount of wrapping paper needed for 100 gifts, we first need to find the surface area of one gift box.

The surface area of the box can be calculated using the formula: 2lw + 2lh + 2wh, where l = length, w = width, and h = height. Substituting the given values, we get:

2(11 x 8) + 2(11 x 8) + 2(8 x 8) = 352 square cm

So, one gift box requires 352 square cm of cardboard.

To find the total amount of cardboard needed for all 100 gift boxes, we simply multiply the surface area of one gift box by 100, giving:

352 x 100 = 35,200 square cm

Therefore, Cathy needs 35,200 square cm of cardboard to package all 100 gifts.

To find the total amount of wrapping paper needed, we need to add the surface area of each gift box and add the amount of wrapping paper needed to cover each gift. Assuming each gift is a rectangular box with dimensions 11cm x 8cm x 8cm, the surface area of one gift is:

2(11 x 8) + 2(11 x 8) + 2(8 x 8) + 2(11 x 8) = 576 square cm

Multiplying this by 100, we get:

576 x 100 = 57,600 square cm

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Answer: 1 * 10^9

Step-by-step explanation:

1*10^9 = 1,000,000,000, which is the closest you can get.

Hope it helps <3

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

\(y = 2x + 12\)

By the fiftieth year, there will be 112 wolves (\(y = 2\) × \(50 + 12\))

Step-by-step explanation:

You start with 12 wolves in the population.

Each year, the wolf population will increase by 2 years.

Let x represent the number of years.

Let P represent the total population.

Considering all this, P = 2x + 12.

In this case, we want to find how many wolves will be in the population in 50 years. Therefore, we will need to plug 50 into the equation in place of x.

P = 2(50) + 12

Simply to get your answer.

Answer:

I believe it increased by 10%

Step-by-step explanation:

If angle b is five times the size of angle c, the equation can be used to find the measure of angle is 5x+x=90°.

because complementary angles complete each other to 90 degrees.

These angles b and c add up to 90° because they are complementary.

Let's say angle C is named x.

angle b is five times the size of angle c, this can be written: 5x

Complementary angles add up 90°, so angle B add angle C equal 90°

the equation to find the measure of angle C is 5x+x = 90°.

Types of angles are one of the materials in mathematics that you always encounter at every level of education. Learning about angles is very important, because angles are always present in everyday life and need to be identified.

An angle is a shape formed by two rays having an endpoint at one point. In angles, terms such as the leg of the angle, vertex, and area of the angle are also found.

The legs of the angle are the lines forming the angle. The vertex is the point where the two legs of the angle intersect, and the area of the angle is the area bounded by the two legs of the angle.

Your question is incomplete but most probably your full question was:

Only Interaction Angle B and angle C are complementary: If angle B is five times the size of angle C which equation can be used to find the measure of angle C?

5x+x=180

5x = 180

5x+x=9

5x = 90

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Part a: The probability that a given battery will last between 2.3 and 3.6 years is 80.41%.

Part b: The probability that a given battery will last longer than 24 months is 97.72%.

For the given question,

The data for the storage battery are-

Part a: The probability that a given battery will last between 2.3 and 3.6 years.

Find z score for x = 2.3 years.

z(2.3) = (x - μ )/σ

Put the values,

z(2.3) = (2.3 - 3.0)/0.5

z(2.3) = -1.4

Use negative z score table;

P(z = -1.4) = 0.0808

Similarly, for x = 3.6

z = (3.6 - 3)/0.5

z = 1.2

Use positive z table;

z = 0.8849

P(2.3<x<3.6) = 0.8849 - 0.0808

P(2.3<x<3.6) = 0.8041

Thus, the probability that a given battery will last between 2.3 and 3.6 years is 80.41%.

Part b: The probability that a given battery will last longer than 24 months = 2 years.

x = 2 years

z (2) = ( 2 - 3.0 )/ 0.5

z = 2

P(x > 2) = 0.9772

Thus, the probability that a given battery will last longer than 24 months is 97.72%.

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The value we obtain from the table will be subtracted from 1 to obtain the probability that we are looking for.P(z < 1.75) = 0.9599 (from the standard normal distribution table)Therefore, P(z ≥ 1.75) = 1 - P(z < 1.75) = 1 - 0.9599 = 0.0401.The probability that a randomly selected individual with the degree will get a starting salary of at least $34,375 is 0.0401, or 4.01%.

We have been given that the starting salaries of individuals with a certain degree are normally distributed with a mean of $30,000 and a standard deviation of $2,500.We are required to determine the probability that a randomly selected individual with the degree will get a starting salary of at least $34,375.

We know that the Z-score formula is given as:$$z=\frac{x-\mu}{\sigma}$$Where:x = Value for which we need to find the probability.μ = Mean of the distribution.σ = Standard deviation of the distribution.Using this formula, we can find the Z-score for the given data as follows:$$z=\frac{x-\mu}{\sigma}$$$$\frac{34,375-30,000}{2,500}=1.75$$Now, we can use the normal distribution table to find the probability of a Z-score being less than or equal to 1.75.

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Answer:

Step-by-step explanation:

its is 192 ft2

No of extra miles:-

\(\\ \tt\hookrightarrow 16.54/0.25=66.16mi\)

Now

Total average miles

\(\\ \tt\hookrightarrow 159+66.16=216.16mi/day\)

The number of miles that you can drive per day, on average, and not exceed your daily budget of $60.00 will be 216.16 miles.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A Ford Taurus at Enterprise Rent-a-Car rents for $43.46 per day. You receive 150 free miles per day but are charged $0.25 per mile for any additional miles.

Let x be the number of miles that you drive and y be the total rent. Then the equation will be

y = 0.25(x - 150) + 43.46

Then the number of miles that you can drive per day, on average, and not exceed your daily budget of $60.00 will be

60 = 0.25(x - 150) + 43.46

60 = 0.25(x - 150) + 43.46

16.54 = 0.25(x - 150)

66.15 = x - 150

x = 150 + 66.15

x = 216.16 miles

Thus, the number of miles that you can drive per day, on average, and not exceed your daily budget of $60.00 will be 216.16 miles.

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Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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The equation of the circle with center (2, 5) and tangent to the line y = 11 can be determined using the distance formula. The equation is (x - 2)^2 + (y - 5)^2 = r^2, where r is the radius of the circle.

To determine the equation of a circle centered at (2, 5) and tangent to the line y = 11, we need to find the radius of the circle. Since the circle is tangent to the line, the distance between the center of the circle and the line y = 11 is equal to the radius. The distance between a point (x, y) and a line Ax + By + C = 0 is given by the formula |Ax + By + C| / √(A^2 + B^2). In this case, the line y = 11 can be written as 0x + 1y - 11 = 0. Plugging the coordinates of the center (2, 5) into the distance formula, we have |0(2) + 1(5) - 11| / √(0^2 + 1^2) = |5 - 11| / √(1) = 6 / 1 = 6. Therefore, the radius of the circle is 6.

Now that we know the radius, we can write the equation of the circle as (x - 2)^2 + (y - 5)^2 = 6^2. Simplifying further, we have (x - 2)^2 + (y - 5)^2 = 36. This equation represents the circle centered at (2, 5) and tangent to the line y = 11.

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Answer:

SAS postulate

Step-by-step explanation:

Answer:

The answer is 69

Step-by-step explanation:

The sum of a number and 98 means it equals 167. So all you have to do to find the missing number is plug it in to the equation.

?+ 98= 167

167-98=?

Answer:

56,000

Step-by-step explanation:

Basically you add 48,500+2,500+5000 and you get 56,000 which should be D. :)

Answer:

56,000

Step-by-step explanation:

edge 22

Answer

The width of Michelle's room = 111 inches.

Answer:

1/5

Step-by-step explanation:

F=200/1000 = 2/10 = 1/5 Pretty simple just convert to the same unit if it doesn't make sense watch videos about the topic of unit conversion :D