Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Write the expression in simplest form.
(-11/2 x +3) -2 (-11/4 x -5/2) =

Answer:

C. Acute

Step-by-step explanation:

Pythagorean theorem can be used to determine the type of triangle any 3 given sides can form.

This,

A right ∆ is formed if a² + b² = c²

An acute ∆ is formed if a² + b² > c²

An obtuse ∆ is formed if a² + b² < c²

Note: c is the longest side of any triangle.

Using the side lengths given:

9.2² + 15.1² ? 17.4²

84.64 + 228.01 ? 302.76

312.65 > 302.76

An acute triangle is formed because a² + b² > c²

Answer: Option B.

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

if the line passes through the points (ax, ay) and (bx, by) then the slope is:

a = (bx - ax)/(by - ay)

In this case, we can see that the line passes through the points:

(1, 3) and (2, 1)

Then the slope is:

a = (1 - 3)/(2 - 1) = -2

y = -2*x + b

In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.

The line is:

y = f(x) = -2*x + 5.

the inverse function is such that:

g( f(x)) = x

to find the inverse function of a linear equation, we just could isolate x.

y - 5 = -2x

-y/2 + 2.5 = x

Then we could write the inverse function as:

g(x)  = - x/2 + 2.5

Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.

g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2

(9, -2) belongs to the line.

g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1

Then (7, -1) belongs to this line.

g(5) = -5/2 + 2.5 = 0

Then the point (5, 0) belong to this line.

We can already see that all these points are in option B, then option B is the correct one.

Answer:

y x

..........

....................

Answer:

24.49 units

Step-by-step explanation:

The circumference of the circle is 153.86 units.

The circumference of a circle is given as:

C = 2 * pi * r

where r = radius of the circle

Therefore:

r = C / (2 * pi)

=> r = 153.86 / (2* pi) = 24.49 units

The radius of the circle is 24.49 units.

Answer:

24.49

Step-by-step explanation:

please trust me and make me brainliest :0

The a) mean of the sample means is equal to the population mean.

This is because the mean of all of the sample means is a measure of the center of all of the samples, which is the same as the center of the population. This can be shown by calculating the arithmetic mean of the sample means.

The arithmetic mean of the sample means is calculated by summing the means and dividing by the number of samples. Since the sum of all the sample means is the same as the sum of the population, the mean of the sample means must also be equal to the population mean.

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20. The sample mean is an unbiased estimator for the population mean. This means: (a) The sample mean always equals the population mean. (b) The average sample mean, over all possible samples, equals the population mean. (c) The sample mean is always very close to the population mean. (d) The sample mean will only vary a little from the population mean. (e) The sample mean has a normal distribution.

Answer:

Their weekly sales would have to be $10,000 before they can be earning the same amount for the week

Step-by-step explanation:

If they are to be earning the same thing each week, it means whatever Toni is earning is what Nicky would be earning.

We proceed by equating their earnings so we would get x;

800 + 0.07x = 600 + 0.09x

Collect like terms

800-600 = 0.09x -0.07x

200 = 0.02x

x = 200/0.02

x = 10,000

Answer:

isme me kyaaa help kree question to puchho dhang se....yrr

Answer:

It's C and E i just took the test trust me

Answer:

the person above me has the same name as my sister

Step-by-step explanation:

Graph y=-7 by plotting y-intercept (0,-7) and all points have y=-7, it is a horizontal line.

What is graph ?

A graph is a mathematical structure used to represent relationships between objects. In a graph, objects are represented by vertices (or nodes) and relationships are represented by edges (or arcs). Graphs can be used to model a wide variety of real-world systems, including networks of roads, social networks, and the internet.

To graph y = -7, you can start by plotting the y-intercept, which is the point at which the line crosses the y-axis. In this case, the y-intercept is (0, -7) because when x = 0, y = -7.

To graph the line, you can then pick any other x-value, substitute it into the equation, and find the corresponding y-value. For example, if you pick x = 1, then y = -7. So, you can plot the point (1,-7) on the graph.

You can repeat this process with different x-values and plot more points on the graph.

Graph y=-7 by plotting y-intercept (0,-7) and all points have y=-7, it is a horizontal line.

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The 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

What is Confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals.

As given,

n = 150 = drivers

x = 100 = wear seat belts.

We have to find 95% confidence interval for proportion P that do not wear seat belt.

From 150 we have 100 wear seat belts

Not wear seat belt = 150 - 100

Not wear seat belt = 50

P = 50/150

P = 0.33

95% confidence interval for P is

CI = (P - zα/2√(P(1 - P)/n), P + zα/2√(P(1 - P)/n))

For 95% CI, zα/2 = 1.96

Substitute values,

CI = (0.33 - 1.96√(0.33(1 - 0.33)/150), 0.33 + 1.96√(0.33(1 - 0.33)/150))

CI = (0.33 - 0.075, 0.33 + 0.075)

CI = (0.255, 0.405)

Therefore 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

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Answer:

-5

Step-by-step explanation:

i tried my best but this is the result

a) If 20 servers are available, they can serve approximately 114.29 tables in 20 minutes

b) To serve 160 tables in 20 minutes, the hotel would need approximately 35 servers

To answer these questions using the Service Capacity Excel template, we need to first determine the service rate (customers served per hour) and the arrival rate (customers arriving per hour).

Since it takes 4 minutes to get the meals and serve them to 10 guests (1018 seconds = 180 seconds = 3 minutes), the service time per table is 4 + 3 = 7 minutes. Therefore, the service rate is 60/7 tables per hour, or approximately 8.57 tables per hour per server. With 20 servers, the total service rate is 208.57 = 171.43 tables per hour.

Since we want to know how many tables can be served in 20 minutes, we need to convert this to an hourly arrival rate. There are 3 sets of 20 minutes in an hour, so the arrival rate is 160/3 = 53.33 tables per hour.

Using the Service Capacity Excel template, we enter the service rate of 171.43 tables per hour and the arrival rate of 53.33 tables per hour. We then select the "Number of servers" option and vary the number of servers until the utilization (or occupancy) is close to 100% (but not over). We find that the minimum number of servers needed to achieve this is 35. Therefore, the hotel needs 35 servers to be able to serve 160 tables in 20 minutes.

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Answer:

Two thirds of a bag.

Step-by-step explanation:

1/2 * 2 = 1

1/3 * 2 = 2/3

Hope this helped!

The expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable.

a) No, X and Y are not independent since the lifetime of a part (Y) is modeled by X.

b) The joint PDF fX,Y(x,y) = x-1exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.

c) P[Y < 1] = 1 - exp(-x) for 1 ≤ x ≤ 2.

d) The marginal PDF fY(y) = exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.

e) The expected value of Y using fY(y) is 1/x for 1 ≤ x ≤ 2.

f) The conditional expected value of Y given X = x is 1/x for 1 ≤ x ≤ 2.

g) Using E[Y] = E[E[Y∣X]], the expected value of Y is 1.

h) The expected value of X + Y is 2.

i) The expected value of XY is 1.

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Answer:

una carnival

Step-by-step explanation:

Answer:

Step-by-step explanation:

is reflecting a point (x, y) over the y-axis

and becomes (-x, y)

Answer:

15^8 / 1^1 (^ is to the power of, exponents)

Step-by-step explanation:

just like the example answer, 4^2 turns into 4^2 / 1.

IMPORTANT!! if the exponent in the denominator (bottom), negative the expression will be moved to the numerator (top) and become positive.

A negative exponent means that factor is on the wrong side of the fraction.

For example, \(8^{-11}\) can be written as \(\dfrac{8^{-11}}{1}\) and to get rid of that negative exponent, the \(8^{-11}\) gets moved to the bottom and the exponent becomes positive.

    \(8^{-11} = \dfrac{1}{8^{11}}\)

And if the exponent is negative in the bottom, then you move that factor to the top:

    \(\dfrac{1}{y^{-11}} = \dfrac{y^{11}}{1}\) and we just write that as \(y^{11}\), since the "over 1" isn't needed.

Based on what we just talked about above, how would you rewrite that with a positive exponent?

    \(\dfrac{1}{15^{-8}} = \dfrac{15^8}{1^1}\)

And that \(1^1\) is only required because of that system you're using.

Answer: 8 shirts 5 jeans

Step-by-step explanation:

Answer:

8550

Step-by-step explanation:

It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

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Answer:

7

Step-by-step explanation:

The gradient of a line is a measure of how steep the line is. It is calculated as the change in the y-value (the "rise") divided by the change in the x-value (the "run").

In the equation y = 7x + 8, the coefficient of x (7) is the gradient of the line. This means that for every 1 unit change in the x-value, the y-value changes by 7 units.

So the gradient of the line y = 7x + 8 is 7.

Answer:

\( V = 628.5 \ unit^3 \)

Step-by-step explanation:

We can use here the formula of the Volume of cone. The volume of cone is ,

\(\implies V = \dfrac{1}{3}\pi r^2 h \\\\\implies V = \dfrac{4}{3} \pi (5)^2 \times 6 \\\\\implies V = \dfrac{4}{3} \times \dfrac{22}{7} \times 25 \times 6 \\\\\implies \boxed{\boxed{ V = 628.5 \ unit^3 }}\)

Answer: is the answer suppose to be a letter or a number ?

Step-by-step explanation:

Answer:

No

Step-by-step explanation: Jerome’s scenario does not match the expression. The term s/4  means the number of songs is divided by four, but the scenario uses the word ‘times,’ which means multiplication. The scenario should say ‘16 fewer than one-fourth the number of songs.’

Answer:

23

Step-by-step explanation:

Answer:

23 games.

Step-by-step explanation:

According to the graph, there are 17 whistles, where each whistle counts as 2 games.

17 * 2 = 34 games in Kylie's first 6 months.

She worked a total of 45 games in the entire year.

45 - 34 = 11 games.

Therefore, Kylie worked 11 games for the rest of the year.

They are asking how many MORE games did she work in the first 6 months than she did during the rest of the year.

34(first 6 months) - 11(rest of the year) = 23 games more.

Answer:

bc it has the same value

Step-by-step explanation:

Answer:

The songs are always going to be ·3 the amount of the movies

Step-by-step explanation:

How the number compares just means what the numbers are.

Week 1. 6/2=3

Week 2. 12/4=3

Week 3. 18/6=3

Step-by-step explanation:

Simplify the equation using algebra in order to find the value of g.

Multiply each side of the equation by 8 to remove the fraction from g:

\(8( \frac{g}{8} ) = 8( \frac{9}{12} )\)

\(g = 6\)

The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

The probability distribution of x can be calculated as follows:

Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

where n is the sample size, p is the probability of success, and x is the number of successes.

The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:

P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836

P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060

P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564

Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564

In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

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The triangles are similar by SAS (Side-Angle-Side) similarity.

option B is the correct answer.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

From the given diagram, we can see that the bases of the two triangles are not equal to each other but they have equal corresponding angles.

Thus, going by the criteria for similarity of triangles, we can conclude that the two triangles are similar by SAS since the lengths of each side of the triangle are of equal proportion.

9/15 = 3/5

So the answer will be;

Side - Angle - Side ( SAS)

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Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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