Question 14 (1 point) The graph of the relation 5x + 6y = 15 has an x-intercept of a and a y-intercept of b. What is the sum of a and b? AJ Question 15 (1 point) The equation of a line which passes through the points (0,16) and (3, 25) can be written in the form y = mx + b. What is the sum of m and b?

Complete Question

90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.

• You are meeting a flight that departed on time. What is the probability that it will arrive on time?

• You have met a flight, and it arrived on time. What is the probability that it departed on time?

• Are the events, departing on time and arriving on time, independent?

Answer:

1st Question

       \(P(X_1) = 0.833\)

2nd  Question

      \(P(X_2) = 0.938\)

3rd Question

      The probabilities are not independent

Step-by-step explanation:

From the question we are told that

    The  probability of flight that depart on time is  P(DT) = 0.9

      The probability of flights that arrive  on time  is  \(P(AT) = 0.8\)

     The  probability of flight that depart on time and arrive on time is  \(P(DT\ |\ AT) = 0.75\)

    In the first question the flight is departed on time  so the probability that it will arrive on time is  

         \(P(X_1) = \frac{P(DT\ | \ AT)}{DT}\)

substituting values

         \(P(X_1) = \frac{0.75}{0.9}\)

        \(P(X_1) = 0.833\)

In the second question the flight arrived on time, so the probability that it departed on time is  mathematically evaluated as follows

           \(P(X_2) = \frac{P(DT\ | \ AT)}{AT}\)

substituting values

           \(P(X_2) = \frac{0.75}{0.8}\)

           \(P(X_2) = 0.938\)

Looking at the given and calculated values we see that the probability of  depart on time and arrive is not equal to the probability of  depart on time,

    i.e 0.75 =  0.8

the probability of  depart on time and arrive, and  the probability of depart on time are not independent

Answer:

-1/2 is the slope.

Step-by-step explanation:

y-3 = -1/2(x-2)

y-3 = -1/2x +1

y= -1/2x + 4

m= -1/2

Answer:

5/8

Step-by-step explanation:

I have the same problem and this answer was correct.

The table shows the number of games a team won and lost last season with a ratio of win to loss as 3:2. Therefore the tool most appropriate for use is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

here, we have,

To calculate a win-to-loss ratio, divide the number of wins by the number of losses.

According to the given data:

Greg is creating a simulation, using previous year’s wins and losses, to foretell the team's conclusion.

Wins in the last season = 24

losses in the last season = 16

Ratio of wins and losses = 24:16 = 3:2

Chances of the team winning out of 5 matches is 3 and losing is 2.

The device which is most suitable for application in a simulation that implements the data is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.

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complete question:

the table shaws the number of games a team won and lost last season. Wins and losses last season number of games wins 24 losses 16 greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends. Which tool is most appropriate for use in a simulation that fits the data?

1 a coin with one side representing a win and the other representing a loss

2 a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss

3 a 5-section spinner with congruent sections, 3 representing a win and 2 4representing a loss an 8-sided die with 5 sides representing a win and 3 sides representing a loss

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(4z + 2 = 10z - 1\)

Add sides 1

\(4z + 2 + 1 = 10z - 1 + 1\)

\(4z + 3 = 10z\)

Subtract sides 4z

\( - 4z + 4z + 3 = - 4z + 10z\)

\(3 = 6z\)

\(6z = 3\)

Divide sides by 6

\( \frac{6z}{6} = \frac{3}{6} \\ \)

\(z = \frac{1}{2} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(3y = y + 3\)

Subtract sides y

\( - y + 3y = - y + y + 3\)

\(2y = 3\)

Divide sides by 2

\( \frac{2y}{2} = \frac{3}{2} \\ \)

\(y = \frac{3}{2} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is :

\(a) \: y = \frac{3}{2} \: , \: z = \frac{1}{2} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The null hypothesis for the alternative hypothesis "the percentage of internet users who use the internet for shopping is greater than 0.40" can be expressed as:
H0: p ≤ 0.40

Here, H0 represents the null hypothesis and p represents the proportion of internet users who use the internet for shopping.

The null hypothesis states that the percentage of internet users who use the internet for shopping is less than or equal to 40%.

In hypothesis testing, we collect data and analyze it to determine whether we can reject the null hypothesis or not.

If the data provides strong evidence against the null hypothesis, we reject it and accept an alternative hypothesis that suggests there is a significant relationship or difference.

However, if the data is not strong enough to reject the null hypothesis, we fail to reject it, but we cannot conclude that the null hypothesis is true.

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The sets that are equal are A = {1, 2, 3} and B = {2, 1, 3}

The order of elements does not matter when determining the equality of sets. Both sets A and B contain the same elements, namely 1, 2, and 3, even though their order is different. Therefore, we can say that A and B are equal sets.

The other sets mentioned, A = {1, 2} and B = {1}, A = {1, 2, 4} and B = {1, 2, 3}, and A = {1, 2} and B = {1, 2, 3}, are not equal because they have different elements. In the first case, set A has two elements, while set B has only one element.

In the second case, set A contains the element 4, which is not present in set B.

In the third case, set A has two elements, while set B has three elements, including the element 3, which is not present in set A.

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Answer:

Option A

Step-by-step explanation:

Central angle of the pentagon = \(\frac{360}{\text{Number of sides of the regular polygon}}\)

                                                   = \(\frac{360}{5}\)

                                                   = 72°

Measure of ∠BAC = 72°

Therefore, measure of ∠BAD = \(\frac{72}{2}\)

                                                 = 36°

By sine rule in ΔABD,

sin(36°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

            = \(\frac{BD}{AB}\)

            = \(\frac{BD}{14}\)

BD = 14(sin36°)

     = 8.23 mm

Similarly, by cosine rule,

cos(36°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

              = \(\frac{AD}{AB}\)

              = \(\frac{AD}{14}\)

AD = 14(cos36°)

     = 11.33 mm

Area of ΔABC = 2(Area of ΔABD)

                        = \(2(\frac{1}{2}(\text{Base})(\text{Height})\)

                        = AD × BD

                        = 11.33 × 8.23

                        = 93.21 mm²

Since, area of regular pentagon given in the picture = 5(area of ΔABC)

= 5(93.21)

= 466 mm²

Therefore, Option A will be the answer.

Answer:

360 in

Step-by-step explanation:

To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:

\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)

So, the dressmaker has 360 in of ribbon.

Step-by-step explanation:

Is there more to this question? I feel like the 2021 federal income tax bracket is missing

Answer: Let's solve this problem step by step.

First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.

According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:

For An:

Income of An = Salary of An + Savings of An

Income of An = 5x + 2600

For B:

Income of B = Salary of B + Savings of B

Income of B = 3x + 1800

Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:

(Expenditure of An)/(Expenditure of B) = 9/5

Since expenditure is the complement of savings, we have:

[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5

Substituting the previously derived expressions for income, we get:

[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5

Simplifying the equation, we have:

5x / 3x = 9/5

Cross-multiplying, we get:

5 * 3x = 9 * 3x

15x = 27x

Subtracting 27x from both sides, we have:

0 = 12x

This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.

Step-by-step explanation:

Area of circle= Πr²

Πr² = 132² m

r²=132²/Π m

=5546.23m

r =√5546.23

=74.473 m

First sentence: true

If you FOIL out (x-9)(x+5) it WILL check.

Second sentence: false

If you FOIL out (x-5)(x+9) it will NOT check

Third sentence: false

f(5) ≠ 0  and  f(-9) ≠ 0

Fourth sentence: true

f(9) = 0  and f(-5) = 0

The given table represents a discrete probability distribution.

To determine whether the table represents a discrete probability distribution, we need to check if it satisfies two conditions: the sum of probabilities equals 1 and all probabilities are non-negative.

In the given table, the sum of probabilities is 0.3 + 0.3 + 0.1 + 0.3 = 1, which satisfies the first condition.

Additionally, all probabilities in the table are non-negative, as each value of p(x) is greater than or equal to 0. This satisfies the second condition.

Therefore, since the table satisfies both conditions, it represents a discrete probability distribution. It provides the probabilities for each value of x, indicating the likelihood of each outcome occurring in a discrete random variable scenario.

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Answer:

Step-by-step explanation:

uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95

The larger the negative number, the lower the value the number actually is.

Answer: b. -1.95, -1.895, -1

Answer:

MAYBE D OR A

Step-by-step explanation:

SORRY IF THIS WAS NO HELP

Answer:

D is correct

Step-by-step explanation:

Because the x has the |x| surrounding it, that means that it is always going to be positive (i think) which explains why both -1 and 1 are selected; because they both equal 1.

Answer:

\(\boxed{m = -38}\)

Step-by-step explanation:

\(-(6m+8) =4(17-m)\)

→ Expand brackets

\(-6m-8=68-4m\)

→ Add 8 to both sides to collect the whole numbers

\(-6m = 76-4m\)

→ Add -4m to both sides to collect the m terms

\(-2m=76\)

→ Divide both sides by -10 to isolate m

\(m=-38\)

Answer:

b 16.4 ft

Step-by-step explanation:

To solve this problem using a graphing calculator, we need to plug in the value of q (which is given as 7) into the equation y = 2 csc e, and then graph the resulting equation.

First, we need to convert the angle e from degrees to radians, because the csc function takes its input in radians. We can use the conversion formula:

radians = degrees x (π/180)

So for e = 2, we have:

e (in radians) = 2 x (π/180) = 0.0349 radians

Now we can plug this value into the equation y = 2 csc e:

y = 2 csc(0.0349) ≈ 103.8 feet

This tells us that the length of the rafters needed to make the roof is approximately 103.8 feet. However, the question asks us to round to the nearest tenth of a foot, so the answer is:

y ≈ 103.8 feet ≈ 103.8 rounded to the nearest tenth of a foot

Therefore, the length of the rafters needed to make the roof for q 7" is approximately 103.8 feet, rounded to the nearest tenth of a foot.

So the correct answer is (b) 16.4 feet.

Using the graphing calculator, we find that the length of the rafters needed is approximately 16.4 feet, Therefore, the correct answer is option B, 16.4 feet.

To find the length of the rafters needed for the roof with an angle of 7 degrees, we'll use the given function y = 2 * csc(e), where e is the angle formed by the rafters and the top of the wall. Here's a step-by-step explanation:

1. Convert the angle from degrees to radians: e (in radians) = (7 degrees * π) / 180 ≈ 0.1222 radians.

2. Calculate the cosecant  (csc) of the angle e: csc(0.1222) ≈ 8.185.

3. Plug the value of csc(e) into the function: y = 2 * 8.185 ≈ 16.37.
Using a graphing calculator, we can input the function y = 2 csc e and graph it. Then, we can use the given angle of 2 to find the length of the rafters needed for a roof with a peak of 7 feet.

4. Round the length to the nearest tenth of a foot: 16.37 ≈ 16.4 feet.
When we graph the function, we can see that the length of the rafters is the distance between the x-axis and the point on the graph where y = 7.
So, the length of the rafters needed to make the roof for an angle of 7 degrees is approximately 16.4 feet (Option b).

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The product of three numbers is 12,295.

We are given that the sum of three numbers x, y, and z is 165, so we can write:

x + y + z = 165

We are also told that when the smallest number x is multiplied by 7, the result is n. So we can write:

x * 7 = n

It is also given that the value n is obtained by subtracting 9 from the largest number y, so we can write:

y - 9 = n

And that this number n also results by adding 9 to the third number z, so we can write:

z + 9 = n

We have 3 equations with 3 unknowns, we can use these equations to solve the problem.

From the equation x * 7 = n, we can substitute n = y-9, and we get:

x * 7 = y - 9

From the equation z + 9 = n, we can substitute n = y-9, and we get:

z + 9 = y - 9

Now we have 2 equations with 3 unknowns x,y,z.

To solve for the third unknown, we can use the equation x + y + z = 165 and substitute the values that we know from the previous equations:

x + (y - 9) + (z + 9) = 165

Solving for x we get:

x = (165 - (y-9) - (z+9)) = (165 - y + 9 - z - 9) = (165 - y - z + 18) = (183 - (y+z))

Now we can substitute this value into one of the previous equations:

(183 - (y+z)) * 7 = y - 9

Solving for y and z we get:

y = 95 and z = 71

And the product of the three numbers is:

x * y * z = (183 - (y+z)) * y * z = (183 - (95 +71)) * 95 * 71 = (183 - 166) * 95 * 71 = 17 * 95 * 71 = 12,295

So the product of three numbers is 12,295.

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In order to calculate how many words can you type in 1 minute we you use the rule of 3 to calculate the amount of words as follows:

you can type 600 words in 12 minutes therefore;

if 600 words____________________12 minutes

x_____________________1 minute

Therefore, the calculation would be:

x=words you can type in 1 minute

x=(600 words*1 minute)/12 minutes

x=50

Therefore, you can type a number of 50 words in 1 minute

Answer: 50 words

Step-by-step explanation: 600 divided by 12=50. 50x12=600

The player must give the ball a speed of approximately 8.68 m/s in order to make the long jump-shot.

To determine the speed required, we can analyze the projectile motion of the basketball. The vertical component of the motion is affected by gravity, while the horizontal component remains constant.

Since the ball is released at the same height as the basketball goal, we can consider the vertical displacement to be zero. Therefore, the equation for vertical motion becomes:

0 = v₀y * sin(θ) * t - (1/2) * g * t^2

Since the initial vertical velocity (v₀y) is zero, the equation simplifies to:

0 = -(1/2) * g * t^2

Solving this equation gives us the time it takes for the ball to reach the peak of its trajectory and fall back down, which is t = 0.

Next, we can consider the horizontal motion of the ball. The equation for horizontal motion is:

d = v₀x * cos(θ) * t

Given that the distance (d) is 18.8 m and the launch angle (θ) is 42.6 degrees, we can rearrange the equation to solve for the horizontal initial velocity (v₀x):

v₀x = d / (cos(θ) * t)

Substituting the values, we have:

v₀x = 18.8 / (cos(42.6°) * 0) = undefined

This implies that the initial horizontal velocity is zero, which means the ball does not possess any horizontal speed. However, this cannot be the case if the player intends to make the shot.

Therefore, the only way for the ball to reach the basketball goal is if it is given an initial horizontal speed. This requires the player to apply additional force or impart a horizontal velocity to the ball.

In conclusion, the player must give the ball an initial horizontal velocity to make the long jump-shot. The exact value of the required speed depends on various factors such as the desired trajectory, the player's skill, and any external forces present during the shot.

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There are 30 of 1/10's in the number 3

From the question, we have the following parameters that can be used in our computation:

How many 1/10's are in 3?​

The above statement is a quotient expression that has the following features

Dividend = 3

Divisor = 1/10

So, we have

Quotient = Dividend /Divisor

Substitute the known values in the above equation, so, we have the following representation

Quotient = 3/(1/10)

Evaluate

Quotient = 30

Hence, there are 30 1/10's

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2 4\(m^{3}\) − 5 4\(m^{2}\) + 8 1 − 1 0 5

Answer:

24m^3−54m^2+81m−105

Step-by-step explanation:

Complete question :

In Hawaii a volcano is about to explodel At 6:00 am a device placed inside the volcano

measures the temperature at 69.5 degrees Celsius. Every 3 minutes the temperature

rises 1/5 a degree. If the Volcano explodes at 145.5 degrees Celsius how many hours do

they have to evacuate a nearby city?​

Will Mark BRAINLIEST to the correct answer

Answer:

19 hours

Step-by-step explanation:

Given that:

Temperature of volcano at 6:00 am = 69.5°C

Average rise in temperature per 3 minute = 1/5

Hence, rise in temperature per minute = 0.0666666°C

Temperature at which volcano will explode = 145.5°C

Hence, change in temperature :

(145.5°C - 69.5°C) = 76°C

Hence, temperature will have to rise by 76°C

Rise in temperature / rate of temperature increase

= 76°C / 0.0666666°C

= 1140.0011 minutes

= 1140.0011 / 60

= 19.0000019 hours

= 19 hours

The standard deviation of days Spongebob needs to be in the office hour is 3.29.

First, we must find all probability distribution. Keep in mind, total probability is always equal to 1. So,

∑P(X) = 1

∑P(X) = P(X=3) + P(X=6) + P(X=7) + P(X=12)

1 = 0.16 + 0.2 + P(X=7) + 0.36

1 = 0.72 + P(X=7)

P(X=7) = 1 - 0.72

P(X=7) = 0.28

Next, to find standard deviation (σ) we can use this formula,

σ = \(\sqrt{\sum X^2\times P(X) - (\sum X\times P(X))^2\)

= \(\sqrt{(3^2\times 0.16+6^2\times 0.2+7^2\times 0.28 + 12^2\times 0.36)-(3\times 0.16+6\times 0.2+7\times 0.28+12\times 0.36)}\)

= \(\sqrt{74.2-(7.96)^2}\)

= \(\sqrt{10.8384}\)

= 3.29

So, standard deviation X or SD(X) is 3.29

Thus, standard deviation is 3.29 days for Spongebob needs to be in the office hour.

Your question is incomplete, but most probably your full question was (image attached)

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Answer:

180000 Meters per hour

Step-by-step explanation:

3 kilometers × 60 minutes (1 hour) = 180 kilometers per hour and then convert kilometers to meters

Answer:

The car's speed is 180,000 meters per hour.

Step-by-step explanation:

(3 km)/min×(1000 m)/(1 km)×(60 min)/(1 hr)=180,000 m/hr

The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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Answer:

8n

Step-by-step explanation:

The third side  of a triangle whose perimeter is 17n + 11 and the other two sides are (5n + 6) and (4n + 6) is 8n

The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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Answer:

x = 24.5

Step-by-step explanation:

given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides those sides proportionally, that is

\(\frac{6}{27-6}\) = \(\frac{7}{x}\)

\(\frac{6}{21}\) = \(\frac{7}{x}\) ( cross- multiply )

6x = 147 ( divide both sides by 6 )

x = 24.5