3x – 4y = 0
x - y = 1

The measure of complement and supplement angles will be 62° and 65°, respectively.

Given that:

The angle is 28°.
Two angles are said to be complementary angles if their sum is 90 degrees.

The measure of its complement is calculated as,

⇒ 90° - 28°

⇒ 62°

The angle is 115°.

Two angles are said to be supplementary angles if their sum is 180 degrees.

The measure of its supplement is calculated as,

⇒ 180° - 115°

⇒ 65°

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Answer:5.173973328

Step-by-step explanation:

Answer:

y = -4

Step-by-step explanation:

See attached worksheet.

Answer:

yes is correct ◆◆◆◆◆◆◆◆◆◆♡♡♡♡♡

Answer:

30 percent

Step-by-step explanation:

hsyyehrbhfkej2bhsi

The type of graph that represents a system of linear equations that has multiple common coordinate pairs as a solution is called a line of best fit.

A line of best fit is a line drawn through data points that are scattered on a graph in order to illustrate a relationship between the data.

This line helps identify patterns in the data, and when plotted, multiple points can exist on the same line, which in this case represents the multiple common coordinate pairs.

To create a line of best fit, you will need to calculate the slope and the intercept for the equation that models the data. Then, you can plot the points onto the graph and draw a line through them.

The resulting line will be the line of best fit, which represents the multiple common coordinate pairs that are solutions for the system of linear equations.

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The 14.2 cm correct 1 decimal place is 14.2 after rounding to the nearest 0.1 or the tenth place.

Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.

It is given that:

14.2 cm correct 1 decimal place

14.2

Rounded to the nearest 0.1 or

the Tenths Place.

Rounded to the nearest tenth place. The 2 in the tenth place rounds down to 2 or stays the same because the digit to the right in the hundredth place is 14.2

Thus, the 14.2 cm correct 1 decimal place is 14.2 after rounding to the nearest 0.1 or the tenth place.

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Answer

d

Step-by-step explanation

The rate is constant

The given statement "Measuring the entire population is usually preferred over measuring a sample from the population" is False because measuring the entire population is often impractical or impossible.

When dealing with large populations, it is typically more feasible to gather data from a representative sample rather than measuring the entire population. This approach saves time, resources, and effort. Sampling allows statisticians to make reliable inferences about the population based on the characteristics observed in the sample.

Carefully chosen samples can accurately reflect the population's attributes and provide valuable insights.

However, it is crucial to ensure that the sample is representative and unbiased to avoid potential sampling errors and ensure the validity of the conclusions drawn from the data.

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Answer:

The server was 7.8 inches tall

Step-by-step explanation:

The sum οf the angle measures οf 7 οf the sectiοns is 315 degrees.

An angle is a geοmetric figure fοrmed by twο rays that share a cοmmοn endpοint, called the vertex. It is usually measured in degrees οr radians and describes the amοunt οf rοtatiοn between the twο rays.

If we arrange eight chairs arοund a circle that has eight sectiοns, each sectiοn will have a central angle οf 360 degrees / 8 = 45 degrees.

Tο find the sum οf the angle measures οf 7 οf the sectiοns, we can add the central angles οf thοse 7 sectiοns:

7 x 45 degrees = 315 degrees.

Therefοre, the sum οf the angle measures οf 7 οf the sectiοns is 315 degrees.

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Based on the projected sales of 1,400 total vehicles for the next year, the demand for each season can be determined. The demand for each season is as follows: 350 vehicles in winter, 350 vehicles in spring, 175 vehicles in summer, and 525 vehicles in fall.

To calculate the demand for each season, we can use the past sales data as a reference. In the past, the dealership sold an average of 1,200 vehicles each year. However, in the past two years, the sales figures were 220 and 260 in winter, 350 and 300 in spring, 150 and 160 in summer, and 300 and 660 in fall.

To estimate the demand for each season based on the projected sales of 1,400 vehicles for the next year, we can calculate the proportion of each season's sales compared to the total sales in the past. This gives us the following estimates: 350 vehicles in winter (25% of 1,400), 350 vehicles in spring (25% of 1,400), 175 vehicles in summer (12.5% of 1,400), and 525 vehicles in fall (37.5% of 1,400).

These estimates are based on the assumption that the sales distribution in the future will be similar to the past trends. However, it's important to note that actual market conditions and other factors may influence the demand for each season, so these estimates should be used as a rough guide and may require adjustment based on specific circumstances.

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(a) The mean of the random variable X is 4.8 and the variance is 0.96. (b) The probability that the number of cherries in a cherry puff will be no more than 5 is 0.5. (c) Using the Central Limit Theorem, the probability that the average number of cherries in 36 cherry puffs will be no more than 5 can be found using the normal distribution with a mean of 4.8 and a variance of 0.0267. (d) Similarly, the probability that the average number of cherries in 36 cherry puffs will be greater than 5.5 can be found using the normal distribution with a mean of 4.8 and a variance of 0.0267.

(a) To find the mean of X, we multiply each value of X by its corresponding probability and sum the results:

Mean (µ) = (4 * 0.1) + (5 * 0.4) + (6 * 0.3) + (7 * 0.2) = 4.8

To find the variance, we first need to find the squared deviations from the mean for each value of X. Then, we multiply each squared deviation by its corresponding probability and sum the results:

Variance (σ²) = [(4 - 4.8)² * 0.1] + [(5 - 4.8)² * 0.4] + [(6 - 4.8)² * 0.3] + [(7 - 4.8)² * 0.2] = 0.96

(b) To find the probability that the number of cherries in a cherry puff will be no more than 5, we sum the probabilities for X = 4 and X = 5:

P(X ≤ 5) = P(X = 4) + P(X = 5) = 0.1 + 0.4 = 0.5

(c) To find the probability that the average number of cherries in 36 cherry puffs will be no more than 5, we need to use the Central Limit Theorem. Since the sample size is large (n = 36), the distribution of the sample mean will be approximately normal.

Using the mean and variance of the original distribution, the mean of the sample mean (µ) is equal to the population mean (µ), and the variance of the sample mean (σ²) is equal to the population variance (σ²) divided by the sample size (n):

µ= µ = 4.8

σ² = σ²/n = 0.96/36 = 0.0267

To find the probability, we can use the normal distribution with the mean and variance of the sample mean:

P(µ ≤ 5) = P(Z ≤ (5 - µ) / σ) = P(Z ≤ (5 - 4.8) / √0.0267)

Using a standard normal distribution table or a calculator, we can find the corresponding probability.

(d) To find the probability that the average number of cherries in 36 cherry puffs will be greater than 5.5, we can use the same approach as in part (c):

P(µ > 5.5) = 1 - P(µ ≤ 5.5) = 1 - P(Z ≤ (5.5 - µ) / σ)

Again, using a standard normal distribution table or a calculator, we can find the corresponding probability.

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Answer:

We can start by simplifying both sides of the equation:

5x² + 18x = 25x + 15 + 3x²

2x² - 7x - 15 = 0

Now we need to factor this quadratic equation:

2x² - 7x - 15 = (2x + 3)(x - 5)

Setting each factor equal to zero gives us the solutions:

2x + 3 = 0 or x - 5 = 0

Solving for x, we get:

x = -3/2 or x = 5

Therefore, the solutions to the quadratic equation are x = -3/2 and x = 5.

So, the correct answer is (x - 5)(2x+3).

Given P(A/B) = .4, P(B) = .6 then P(A∩B) = .667 is False.

The formula for conditional probability is:

P(A/B) = P(A∩B) / P(B)

where,

P(A∩B) = probability of both A and B events occurring at the same time.

We have to find P(A∩B) so,

Substitute the values in the above formula

0.4 = P(A∩B) / 0.6

By moving 0.6 to the left side we get

P(A∩B) = 0.4 × 0.6 = 0.24

Thus, P(A∩B) ≠ 0.667

Hence P(A/B) = .4, P(B) = .6 then P(A∩B) = .667 is False.

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The probability of an outcome is between 0 and 1; the sum of the probabilities of all possible outcomes is 1; the outcomes are mutually exclusive. So , the correct option is B.

Probability distribution is a statistical term that refers to the probability of an outcome of an experiment. It's a function that associates each possible outcome of an experiment with its likelihood of occurrence.

A probability distribution is a representation of the probabilities of all potential outcomes in an event. The following are some characteristics of probability distributions: Probability is the likelihood of an event occurring. It's a value that ranges from 0 to 1.

It can't be less than 0 or greater than 1. Probability values of 0 and 1 represent impossible and certain outcomes, respectively. The sum of the probabilities of all possible outcomes must be equal to 1.

This is due to the fact that the occurrence of any of the possible outcomes is a certainty. The probability of the event happening is therefore 100 percent. The probability of an outcome is related to the number of possible outcomes in an experiment that can generate the desired result.

The greater the number of possible outcomes, the smaller the likelihood of the desired outcome. As a result, probabilities range from 0 to 1, with a probability of 0 indicating an impossible outcome and a probability of 1 indicating a certain outcome. A distribution's symmetry refers to the extent to which a distribution is symmetrical about its mean.

A symmetric distribution is one in which the left and right halves of the distribution are mirror images of each other. An asymmetric distribution, on the other hand, has dissimilar left and right sides.

Mutually exclusive outcomes are outcomes that cannot occur at the same time. The outcomes in probability distribution are mutually exclusive because only one outcome occurs at a time. So , the correct option is B.

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To determine the number of miles Andrew can run in one hour, we need to know the rate at which he runs. From the given information, we know that Andrew can run ½ of a mile in 1 hour.

To calculate the number of miles Andrew can run in one hour, we divide the distance by the time:

Distance ÷ Time = Speed

In this case, the distance is ½ mile and the time is 1 hour. So, we have:

½ mile ÷ 1 hour = ½ mile/hour

Therefore, Andrew can run ½ mile in one hour.

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(i)The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. (ii)Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.

i. To sketch the signals x(t) and h(t), we can analyze their mathematical expressions. The input signal x(t) is a linear function with negative slope from t = 0 to t = 4, and it is zero for t > 4. The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. We can plot the graphs of x(t) and h(t) based on these characteristics.

ii. To determine the output signal y(t), we can use the convolution integral, which is given by the expression:

y(t) = ∫[x(τ)h(t-τ)] dτ

In this case, we substitute the expressions for x(t) and h(t) into the convolution integral. By performing the convolution integral calculation, we obtain the expression for y(t) as a function of t.

To sketch the output signal y(t), we can plot the graph of y(t) based on the obtained expression. The shape of the output signal will depend on the specific values of t and the coefficients in the expressions for x(t) and h(t).

Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.

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The solution to the given initial-value problem is y(x) = -3ex + 5e5x + 4 + 20x + 4x^2.To solve the given initial-value problem, we start by finding the complementary solution to the homogeneous equation y''' - 2y'' + y' = 0.

The characteristic equation associated with this equation is r^3 - 2r^2 + r = 0, which can be factored as r(r-1)^2 = 0. Therefore, the complementary solution is y_c(x) = c1e^x + c2xe^x + c3x^2e^x.

Next, we find a particular solution to the non-homogeneous equation y''' - 2y'' + y' = 2 - 24ex + 40e5x. We assume a particular solution of the form y_p(x) = Aex + Be5x + C. By substituting this into the differential equation, we can determine the values of A, B, and C. After solving the resulting equations, we find A = -3, B = 5, and C = 4.

Finally, the general solution to the non-homogeneous equation is given by y(x) = y_c(x) + y_p(x). Plugging in the values of c1, c2, c3, A, B, and C, we obtain y(x) = -3ex + 5e5x + 4 + 20x + 4x^2. This represents the solution to the given initial-value problem.

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Answer:

Surface area of cylinder = 2 π r ² +2 π r h

Step-by-step explanation:

Surface area of cylinder =

area of both circle ends + area of curved surface

= 2 π r ² +2 π r h

Answer:

20

Step-by-step explanation:

\(\frac{2}{15}\) = 40

\(\frac{2}{15}\) ÷ \(\frac{2}{1}\) = \(\frac{1}{15}\)

40 ÷ \(\frac{2}{1}\) = 20

The range:
\({x|70\leq x\leq 82\)

Answer:

the value of pi is 3.14159

Answer:

5. The answer is x>6

6. The answer is x<-2

Step-by-step explanation:

Number 5 and 6 have a line under the inequality. I couldn't put it because i dont know how on a keyboard. Its been a while since i done these so sorry if its wrong.

Answer:

Step-by-step explanation:perp. 3/2

y + 8 = 3/2(x - 4)

y + 8 = 3/2x - 6

y = 3/2x - 14

Answer:

Step-by-step explanation:

45=3×3×5

60=2×2×3×5

L.C.M=180

2| 180

2|90

3|45

3|15

3|5

180=2×2×3×3×5

third number=2×3=6

or 2×2×3=12

or2×3×3=18

or 2×2×3×3=36

so third number can be one of  6,12,18,36

Answer:

8 (3 + 8x)

Step-by-step explanation:

Factor down the two values. The two multiples for 24 can be 8 and 3. The two multiple for 64 can 8 and 8. Overall, both the values are multiples of 8.

You put 8 out of the bracket since it's the GCF.  24 goes 3 times and 64 goes 8 times.

= 8 (3 + 8x)

The equation of line that passes a point (–3, 7) and has slope of 4, in the point-slope form is y - 7 = 4 (x + 3)

A linear equation can be expressed in three forms:

- slope intercept form : y = mx + c

- point-slope form: y - y₁ = m (x - x₁)

- standard form: Ax + By + C = 0

Where:

m = slope

(x₁, y₁) = point on the line

A, B, C are constant

In this problem, the point is (–3, 7) and the slope is 4. Hence,

x₁ = –3

y₁ = 7

m = 4

Plug these parameters into the equation:

y - y₁ = m (x - x₁)

y - 7 = 4 (x - (-3))

y - 7 = 4 (x + 3)

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Answer:

ok i dont knkw what is that lol