Which is a graph of y=-1/2x - 2?

Answer:

.14

Step-by-step explanation:

The relative frequency that favors football is around 0.14, or 14%.

Given that Phoebe took a survey of her classmates' favorite sport.

We need to find the relative frequency of survey members who prefer football,

Preferred sports =

Football    baseball     basketball    tennis       others     total

     4              5                     8                 7              4          28

To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.

According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.

Relative Frequency = Number of people who prefer football / Total number of respondents

= 4 / 28

≈ 0.14

Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.

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Answer:

B. 21

Step-by-step explanation:

The fractions are there to just make the problem seem complicated, but just rewrite it without the fractions.

"What is a common multiple for 7 and 3?"

In this problem it's easy, all you have to do is guess and check.

A: A doesn't work. 7 is not a factor of 18.

B: B works! Both 3 and 7 are factors of 21.

C: C doesn't work. 7 is not a factor of 3.

D: D doesn't work. Neither are a factor of 4.

They only leave us with one solution, B.

Add the two angles and then subtract from 180* to find the missing angle

So,

145* + 15* = 160*

180* - 160* = 20*

Answer: x = 20*

The equation of the parabola that has its focus at (0, -2) and directrix at y = 4 is presented as follows;

\(y = 1 - \frac{ x² }{12}\)

The focus of the parabola, obtained from a similar question posted online is (0, -2)

The given directrix is y = 4

From the definition of the directrix, we have;

(x - 0)² + (y - (-2))² = (y - 4)²

Which gives;

x² + (y + 2)² = (y - 4)²

4•y = y² - 8•y + 16 - (x² + y² - 4)

12•y = 12 - x²

The equation of the parabola is therefore;

\(y = 1 - \frac{ x² }{12}\)

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The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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The diameter of the opening of the cone is approximately 8.92 units.

We can use the formula for the volume of a cone:

V = (1/3) × π × r^2 × H

where V is the volume, H is the height, and r is the radius of the base.

In this case, we are given the volume V = 196 and the height H = 12. We want to find the diameter of the opening, which is 2r.

First, we can rearrange the formula for the volume to solve for r

r = sqrt((3V) / (πH))

Plugging in the values, we get

r = sqrt((3 × 196) / (π × 12)) ≈ 4.46

So the radius of the base of the cone is approximately 4.46 units.

Finally, we can find the diameter of the opening:

d = 2r ≈ 8.92 units

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The given question is incomplete, the complete question is:

The volume of the cone is 196 cubic units. If the height of the ice cream cone is H=12 what is the diameter of the opening of the cone?

The steady-state error for a unit step input when the open loop transfer function is Gop = (s + 7)/(s^3 + 6s^2 + 3s + 5) + 0 is 0.7.

The steady-state error of a system is the difference between the desired output and the actual output of the system. For a unity negative feedback system, the steady-state error can be calculated using the following formula:

```

ess = 1/(1+KG)

```

where ess is the steady-state error, K is the gain of the system, and G is the open-loop transfer function of the system.

In this case, the open-loop transfer function is Gop = (s + 7)/(s^3 + 6s^2 + 3s + 5) + 0. The gain of the system is K = 1. Therefore, the steady-state error is:

```

ess = 1/(1+1*G) = 1/(1+G)

```

The open-loop transfer function can be factored as:

```

G = (s + 7)/(s^3 + 6s^2 + 3s + 5) = (s + 7)/((s + 1)(s + 5)(s + 1))

```

The denominator of the open-loop transfer function has three poles, which means that the system is type 3. For a type 3 system, the steady-state error for a unit step input is 0.7. Therefore, the steady-state error for this system is 0.7.

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Answer:

B. 5/7

Step-by-step explanation:

Up the y axis by 5 and over the x axis by 7

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

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Answer:

\(answer = 90\)

Answer:

I think it's sum and difference

Answer:

less than and difference

Step-by-step explanation:

The product of the given functions is a parabola that opens upwards and has its vertex at (1,0). Its minimum value is 0, which is attained at x = 1.

The given functions are: f(x)=x² and g(x)=3(x-1)²

First, we can work with the function f(x)=x².

We know that the graph of this function is a parabola with vertex at the origin (0,0), and it opens upwards. This means that the function is always positive or zero, and it has no maximum value (the minimum value is 0, which is attained at x = 0).

Next, we can work with the function g(x)=3(x-1)².

We know that the graph of this function is a parabola with vertex at (1,0), and it opens upwards. This means that the function is always positive or zero, and it has no maximum value (the minimum value is 0, which is attained at x = 1).

Now, we can consider the product of these two functions, h(x) = f(x)g(x) = x²⋅3(x-1)² = 3x²(x-1)².

We know that the graph of this function is a parabola that opens upwards, and its vertex is at (1,0). This means that the function is always positive or zero, and it has no maximum value (the minimum value is 0, which is attained at x = 1).

Therefore, the product of the given functions is a parabola that opens upwards and has its vertex at (1,0). Its minimum value is 0, which is attained at x = 1.

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If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.

Total number of registered voters in Central city = 29791 voters

Total number of voting centers = 93 voting centers

The number of population serves by each center = Total number of registered voters in Central city ÷ Total number of voting centers

Substitute the values in the equation

The number of population serves by each center = 29791/93

= 320.33

≈ 320

Hence, If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.

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The measure of the angle formed by 2 secants that have a common point outside a circle is 1/2 the difference of the measure of the further intercepted arc and the closer intercepted arc. That means that half of the the measure of arc ABC - measure of arc XYZ is the measure of angle X. Substituting the given values gives you the equation x = 1/2 (125-45)

Then you can solve.

x = 1/2 (80)

x = 40

The measure of angle X is 40 degrees

What is the question for this so I can answer it?

Answer:

8

Step-by-step explanation:

Find the smaller of 2 consecutive integers, x, if the sum of the smaller and 4 times the larger is 44.

Two consecutive integers are represented as:

Smaller integer = x ,

Larger Integer = x + 1

If the sum of the smaller and 4 times the larger is 44

x + 4(x + 1) = 44

x + 4x + 4 = 44

5x + 4 = 44

5x = 44 - 4

5x = 40

x = 40/5

x = 8

Therefore, the smaller of 2 consecutive integers which is x = 8

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

45 minutes

Step-by-step explanation:

Answer:

probably atleest a hour so it will be 4:30 and then you'll be at home at 4:45

Step-by-step explanation:

I calculated it in 60 seconds

For the angle of elevation to the top of a building is 5 degrees from the ground, the height of building is equals to 0.1 miles.

A buliding in New York. The angle of elevation to the top of a building from ground = 5°

Distance from ground point to base of building = 1 mile

We have to determine the height of the building. Now, if we consider all scenario geometrically, then we see the right angled triangle present in above figure. The height of buliding = h

Using the Trigonometric Ratio \( tan(\theta) = \frac{height}{base} \)

Substitute all known values in above formula, \(tan(5°) = \frac{h}{1 \: miles} \)

From the trigonometric table, tan(5°) = 0.087

=> h = 1 × 0.087 miles

=> h = 0.087 miles ~ 0.1 miles

Hence, required height value is 0.1 miles

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Answer:

10 packages

Step-by-step explanation:

To find the number of 4 yard packages for the fencing, we need to find the perimeter of the fence.

Perimeter = 2*(20 + 40)

Perimeter = 2*60 = 120 feet

*It is important to note that the perimeter is in feet and the packages are in yards*

4 yards = 12 feet

120 / 12 = 10 packages

Answer: 9/4 would be 2.25

Answer: 2.25 heeehee

Step-by-step explanation:

is cereal a soup? Cheers that’s all for now darling

Step 1: At the supermarket, I round numbers as I keep track of how much I'm spending to stay on budget. I mentally add up the sum of my purchases to the nearest dollar. Regarding time, I regularly say, "I'm leaving in about 5 minutes" or "dinner will be done in around 10 minutes." When leaving for an appointment, I round up to account for parking and unknown delays, so my appt that is 17 minutes away will be about 20 minutes in my mind. I always round for time estimates.

Step 2: My family reported similar rounding, except when it comes to exercise like running because seconds count!

Step 3: My family and I regularly use rounding when estimating time. We do this without realizing it as we go about our daily activities. We round our expected food purchases as we shop at the supermarket. My parents regularly announce that we are leaving for an event in 10 minutes, when the reality is that it could be 8-12 minutes. We estimate the time it takes to get to activities and appointments, always rounding to a 5 minute interval. We also round for estimated food delivery times when we update each other by saying,"Food should be delivered in 20 minutes." The runners in my family do not round when tracking their times as seconds matter for their personal records.

Therefore, the curvature of \(f(x) = xcos^2(x)\) at x = π is π / √2.

To find the curvature of the function \(f(x) = xcos^2(x)\) at x = π, we need to follow these steps:

Find the first derivative of f(x): f'(x).

Find the second derivative of f(x): f''(x).

Evaluate f(x), f'(x), and f''(x) at x = π.

Use the formula for curvature: K = |f''(x)| / (\(1 + [f'(x)]^2)^(3/2).\)

Let's proceed with these steps:

Find the first derivative of f(x):

\(f'(x) = cos^2(x) - 2xsin(x)cos(x)\)

Find the second derivative of f(x):

\(f''(x) = -2sin^2(x) - 2xcos^2(x) - 2xsin^2(x) + 2xsin(x)cos(x)\)

Evaluate f(x), f'(x), and f''(x) at x = π:

\(f(π) = πcos^2(π) = π\\f'(π) = cos^2(π) - 2πsin(π)cos(π) = 1\\f''(π) = -2sin^2(π) - 2πcos^2(π) - 2πsin^2(π) + 2πsin(π)cos(π) = -2π\\\)

Calculate the curvature at x = π:

K = |f''(π)| / (1 + [f'(π)]*2)*(3/2)

= |-2π| / (1 + 1)*(3/2)

= 2π / 2*(3/2)

= π / 2*(1/2)

= π / √2

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The sale price not including the tax of sweater is $61.75

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Original price of sweater = $95

Percentage reduction in price = 35%

Thus, Reduction in price = 35% of original price

⇒  Reduction in price = 35% of $95

Solving we get,

Reduction in price = 0.35 * 95

Reduction in price = $33.25

Thus, Selling Price of the sweater = original price - reduction in price

⇒ Selling Price of the sweater = $95 - $33.25 = $61.75

Thus, the sale price not including the tax of sweater is $61.75

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(a) Probability of drawing neither a red card nor a 7 = 30/52 = 15/26. (b) Odds in favor of the event = 5/3.

(a) To find the probability that the card is neither a red card nor a 7, we need to count the number of cards that are not red or 7 and divide it by the total number of cards. There are 26 black cards (13 clubs and 13 spades) and 4 sevens that are not red, so there are 26 + 4 = 30 cards that are neither red nor 7. Therefore, the probability of drawing a card that is neither a red card nor a 7 is 30/52, which simplifies to 15/26.

(b) The odds in favor of the event of drawing a card that is neither a red card nor a 7 can be found by dividing the probability of the event by the probability of its complement (drawing a red card or a 7). The probability of drawing a red card or a 7 is 18/52 (26 red cards minus 4 black sevens plus 2 red sevens), which simplifies to 9/26. Therefore, the odds in favor of the event are (15/26)/(9/26), which simplifies to 5/3.

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Complete question is in the image attached below

Answer:

A

Step-by-step explanation:

2 and 1/2 is can be written as 5/2

5/2 cups of soda for every 2/5 cup of pineapple juice

Unit rate means per 1 of something, in this case pineapple juice

5/2 per 2/5  or (5/2) / (2/5)

5/2 ÷ 2/5 = 25/4 or 6 and 1/4

Answer:

The smaller number must be 12

Step-by-step explanation:

Ignoring the second sentence we can make an expression from the question :

x is larger number

y is the smaller number

x = 2y + 12

Now we substitute 36 for x and solve for y :

36 = 2y + 12

Subtract 12 from both sides :

24 = 2y

Divide both sides by 2 :

12 = y

y = 12

The smaller number must be 12.

But let's check :

12 × 2 = 24

24 + 12 = 36

✅

Hope this helped and have a good day

Answer:

168.75

Step-by-step explanation:

so first you have to do 250 times .75. this is because if you times it by .25 it would be a 75% discount. then you have to do 187.5 times .90 to get your answer