Slope of 4/5 help please

Answer:

They have undefined slopes

Step-by-step explanation:

The line is a vertical line

Vertical lines  are in the form x= constant

They have undefined slopes

The to your question is that we can use the normal distribution to estimate the probability that the product will last between 16.536 and 8.054 years.


In this case, we want to calculate the probability for x = 16.536 and x = 8.054. The mean (μ) is 14.242 years, and the standard deviation (σ) is 3.978 years.

Using the formula, we can calculate the z-scores for both values:
For x = 16.536: z = (16.536 - 14.242) / 3.978
For x = 8.054: z = (8.054 - 14.242) / 3.978

Once we have the z-scores, we can look up the corresponding probabilities in the standard normal distribution table or use a calculator. Subtracting the probability for the lower z-score from the probability for the higher z-score will give us the probability that the product will last between 16.536 and 8.054 years.

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Answer:

\(f(-1) = 8\)

\(f^{-1}(x) = \frac{5}{3} - \frac{x}{3}\)

Step-by-step explanation:

Given

\(f(x) = 5 - 3x\)

Required

\(f(-1)\) and \(f^{-1}(x)\)

Solving for f(-1)

Substitute -1 for x in \(f(x) = 5 - 3x\)

\(f(-1) = 5 - 3(-1)\)

\(f(-1) = 5 + 3\)

\(f(-1) = 8\)

Solving for \(f^{-1}(x)\)

Let y = f(x)

\(y = 5 - 3x\)

Interchange the position of x and y

\(x = 5 - 3y\)

Make y the subject of formula (add 3y to both sides)

\(3y + x = 5 - 3y + 3y\)

\(3y + x = 5\)

Subtract x from both sides

\(3y + x - x = 5 - x\)

\(3y = 5 - x\)

Divide through by 3

\(\frac{3y}{3} = \frac{5}{3} - \frac{x}{3}\)

\(y = \frac{5}{3} - \frac{x}{3}\)

Replace y with \(f^{-1}(x)\)

\(f^{-1}(x) = \frac{5}{3} - \frac{x}{3}\)

The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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We can conclude that the maximum height attained by the ball is 2 feet, rounding to the nearest whole foot.

To determine the maximum height the ball will attain when served by a tennis player, we can apply principles of projectile motion.

Given:

Initial height (y0) = 2 feet

Initial velocity (V) = 120 feet per second

We need to find the maximum height reached by the ball, which occurs when the vertical component of velocity (Vy) becomes zero. At this point, the ball starts descending.

The equation for vertical displacement (y) as a function of time (t) is given by:

y = y0 + Vy * t - (1/2) * g * t^2

Considering the ball's maximum height, Vy = 0. Therefore, the equation simplifies to:

0 = y0 - (1/2) * g * t^2

We can solve this equation to find the time it takes for the ball to reach its maximum height.

Using the acceleration due to gravity, g ≈ 32.2 feet per second squared, the equation becomes:

0 = 2 - (1/2) * 32.2 * t^2

Simplifying further:

0 = 2 - 16.1 * t^2

Now, we solve for t^2:

16.1 * t^2 = 2

Dividing both sides by 16.1:

t^2 = 2 / 16.1

Taking the square root of both sides:

t = √(2 / 16.1)

Calculating the value:

t ≈ 0.25 seconds

Since the ball reaches its maximum height halfway through its total time of flight, the total time of flight is twice the time it takes to reach the maximum height:

t_total = 2 * 0.25 = 0.5 seconds

To find the maximum height (h), we can substitute the value of t into the equation for vertical displacement:

h = y0 + Vy * t - (1/2) * g * t^2

Substituting the given values:

h = 2 + 0 * 0.25 - (1/2) * 32.2 * (0.25)^2

Simplifying:

h = 2 - 4.025 ≈ -2.03 feet

Since the resulting value is negative, it means that the ball does not reach a maximum height above its initial height of 2 feet. Therefore, we can conclude that the maximum height attained by the ball is 2 feet, rounding to the nearest whole foot.

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Question

A tennis player serves the ball from a height of 2 feet within an initial velocity of 120 feet per second. what is the maximum height , in feet , the ball will attain ? round to the nearest whole feet.

Answer:

10.5

Step-by-step explanation:

Break the problem down into small parts:

2 to the power of 3= 8

8+7+6=

15+6=21

21/2

21 divided by 2 is 10.5

Hope this helps!

Answer:

the answer is 380

Step-by-step explanation:

Answer:

a)10ft²

b)6yd

Step-by-step explanation:

a) area = length x width (square has same length for each side)

so,

\( \sqrt{100} = 10\)

b) perimeter means total of all side.

in this case square got 4 equal side.

so,

\(24 \div 4 = 6\)

Answer:

Step-by-step explanation:

(h + 6) - 2    Here we find the sum of h and 6, and from that sum we subtract 2.

This simplifies to h + 4.

Answer:

h+4

Step-by-step explanation:

h+6-2=h+4

We need to find the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45.

In order to find this probability, we need to find the number of doctors that are General Practitioner or under under the age of 45. Then, divide that number by he total of 17.

We know that 7 doctors are General Practitioners. And 2 of them are also under the age of 45.

Therefore, since ther are 4 doctors that are under the age of 45, there are 2 additional doctors, besided those 2 that follow in both categories, there are under the age of 45.

Summarizing, the number of doctors that are General Practitioner or a doctor under the age of 45 is:

Notice that this result can also be obtained by the formula:

where A is the set of General Practitioners, B is the set of doctors under the age of 45, and the symbol |...| represents the number of elements in that set:

Therefore, the required probability is:

Answer

Answer:

D. 22

22 is in the middle

There are three numbers on both sides of 22 so it makes it even and 22 ends up being in the middle.

Hope this helps

The distance the plane flew west is 980 miles.

It states that the hypotenuse side of a right triangle is equal to the sum of the squares of the other two sides.

We have,

Airplane:

Flew north for 840 miles and then went west for a certain distance.

The total distance covered = 1345 miles.

We can draw the diagram as:

     (C) ←(west)             (B)↑(North)

                                    (A)Starting point (Airplane)

AB = 840 miles

AB + BC = 1345 miles

BC = 1345 - 840 = 505

Now,

The distance the plane flew west is AC.

Using Pythagorean theorem.

AC² = AB² + BC²

AC² = 840² + 505²

AC² = 705600 + 255025

AC² = 960625

AC = √960625

AC = 980

Thus,

The distance the plane flew west is 980 miles.

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The correct choice is:

a. ᵃ∫₋ₐ p(q(x)) dx = ᵃ∫₀ p(q(x)) dx

The integrand ᵃ∫₋ₐ p(q(x)) dx is an even function.

When substituting -x for x in p(-x), we have p(q(-x)). Since p(x) is an odd function, we have p(-x) = -p(x). Also, since q(x) is an odd function, we have q(-x) = -q(x).

Using these results, we can determine the value of p(q(-x)):

p(q(-x)) = -p(q(x))

Therefore, p(q(-x)) is an odd function.

Since p(q(-x)) is an odd function, the integrand p(q(x)) is also an odd function.

Regarding the symmetry of p(q(x)), we can simplify the integral as follows:

ᵃ∫₋ₐ p(q(x)) dx = ᵃ∫₀ p(q(x)) dx

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Answer:

f(-3) = g(-3)

Step-by-step explanation:

Let's look at each option to which one is true with regard to the given functions on the graph.

The option that is correct is the option that shows where the graph of f(x) and g(x) intercepts or cut across each other.

Now, take a look at the graph, the line of both functions intercepts at x = -3. At this point, the value of f(-3) and g(-3) is equal to -4.

Therefore: f(-3) = g(-3)

Answer:

False

Step-by-step explanation:

The coefficients (numbers in front) don't matter, but the exponents do.

Like terms have exactly the same exponents on the same variables.

\(54x^2y^3\text{ and }-12x^3y^2\) are not like terms.

Example: \(6x^3y^2\text{ and }-14x^3y^2\) are like terms--same exponents on the x's, same exponents on the y's.

Answer:

False

Step-by-step explanation:

two like therms have the same literal part. This is not the case because

x^3 is different from x^2 (for example if x = 2 ; 8 is not 4)

y^3 is different from y^2

Abdul's probability of making at least three sales out of 20 people spoken to at Best Buy can be calculated using binomial probability.

In the given scenario, Abdul's sales success rate is 30 out of 90 potential customers. This can be simplified to 1 out of every 3 potential customers. Considering he spoke with 20 people, we can calculate the probability of making three or more sales.

Using binomial probability formula, we find the probability of making exactly three sales is:

P(X = 3) = C(20, 3) * (1/3\()^3\) * (2/3\()^1^7\) ≈ 0.204

Similarly, we can calculate the probability of making four, five, and so on, up to 20 sales, and sum them up to find the probability of making at least three sales.

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Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

Option E should be chosen, which is to explore the assignable causes because the second, fourth, and fifth samples are above the mean.

In an x-bar chart, the control limits (UCL and LCL) are based on the process variability and are used to determine if the process is in control. The central line represents the mean of the process.

Looking at the given sample means of 18, 23, 17, 21, 24, and 16, we can see that the second, fourth, and fifth samples are above the mean of 20. This suggests a potential shift or deviation from the expected process mean.

In an x-bar chart, if any sample mean falls outside the control limits or exhibits a non-random pattern, it indicates the presence of assignable causes, which are factors that can be identified and addressed to improve the process. Since the second, fourth, and fifth samples are above the mean, it is advisable to explore the assignable causes, as stated in option E.

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The expression -2(3m - 2) - 5 + 4m should be simplified by applying the distributive property first, followed by combining like terms. The simplified expression is -2m - 1.

To simplify the expression -2(3m - 2) - 5 + 4m, we need to determine whether to apply the distributive property first or combine like terms first.

The distributive property states that when a number is multiplied by a sum or difference inside parentheses, it must be distributed or multiplied by each term inside the parentheses.

In this expression, we have -2 multiplied by the quantity (3m - 2). Applying the distributive property would involve multiplying -2 by both terms inside the parentheses: \(-2 \times 3\) m and \(-2 \times -2.\)

On the other hand, we also have 4m in the expression, which is a term with the variable 'm'. Combining like terms involves simplifying expressions that have the same variable and power.

In this case, we have \(-2 \times 3\) m and 4m, which are both terms with 'm'.

To decide whether to use the distributive property first or combine like terms first, we need to prioritize the order of operations. The order of operations dictates that we should perform multiplication before addition or subtraction.

Therefore, we should first apply the distributive property to -2(3m - 2), resulting in -6m + 4. Then we can combine like terms by adding -6m and 4m, resulting in -2m. Finally, we can combine the constant terms by adding -5 and 4, resulting in -1.

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Answer: y=\(-\frac{1}{10} x-7\)

Step-by-step explanation: The slope of a perpendicular line is always negative and the reciprocal (opposite fraction) of the regular slope so the slope would be \(-\frac{1}{10}\). If the line passes through (-10,-6) then the y intercept would be (0,-7) because every time x goes 10 right y goes down 1 because of the slope.

Answer:

6.667%

Step-by-step explanation:

Given that:

Actual measurement = 7.5 mm

Measured value = 7 mm

Percentage error :

Error / (Actual measurement.) * 100%

(Actual measurement - measured value)

Error = 7.5 - 7 = 0.5 mm

Percentage error = (0.5 / 7.5) * 100%

Percentage error = 0.0666666 * 100%

= 6.667%

Answer:

6

Step-by-step explanation:

cancel out 5 by multiplying its by 5, what you do to one side you do to the other.   so you also multiply 12 by 5. and you should get 60

Answer:

84

Step-by-step explanation:

Score = 90

Standard deviation = 3

Score = mean + 2(standard deviation)

90 = mean + 2(3)

90 = mean + 6

Mean = 90 - 6

Mean = 84

The unit of measure for roll batt insulation is usually in square feet. On the estimate, you should note the type of insulation being used, the type of coverage being provided, the cost of the insulation, and any installation fees.

Roll batt insulation is a type of insulation that is often used to insulate walls, attics, and other areas of the home. The unit of measure for roll batt insulation is usually in square feet. When getting an estimate for the cost of the insulation, it is important to note the type of insulation being used, the type of coverage being provided, the cost of the insulation, and any installation fees that may be involved. This type of information should be noted on the estimate in order to ensure that you are getting the most accurate estimate for the insulation that you need.

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The environment changed in such a way that, "guppies with small spots had a better chance of survival and reproduction, leading to an increase in their population and a decrease in the population of guppies with large spots".

Over many generations, guppies with small spots had a survival advantage in the river because the rocks on the river bottom became smaller. This made guppies with small spots harder for larger fish to see and catch, increasing their chances of survival and reproduction.

As a result, more guppies with the small spot gene passed it on to their offspring, leading to an increase in the population of guppies with small spots. At the same time, the population of guppies with large spots decreased as they were more visible to predators and had a lower chance of survival. This process of natural selection led to a change in the frequency of different traits within the population of guppies.

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The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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Answer:

A.π is the correct answer