How many 6 oz servings are in a 1.125-quart pitcher of lemonade? There are servings. Enter an integer or decimal number[more..] Question Help: Message instructor Calculator​

Answer:

quantitative

Step-by-step explanation:

Weight is a continuous variable, and so the numbers of pounds gained by people in your class is quantitative.

Pounds gained by people in your class during the first month of the semester is 2. Quantitative type of data.

In Statistics, Data Types play a very crucial and important role, which needs to be understood, to apply statistical measurements correctly to your data so that we can correctly conclude certain assumptions about the data.

They are Numerical data, Ordinal data, and Categorical data.

Given, Pounds gained by people in your class during the first month of the semester can be represented as numbers so it is a numerical or

Quantitative data.

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The inequalities that define the unshaded region for this problem is given as follows:

For the solid line, we have that it has a slope of 4 with an intercept of 0, and the values that are above the line are shaded, hence the inequality is given as follows:

y ≥ 4x.

For the dashed line, we have a line with a slope of 1 and an intercept of -4, and the values that are below the line are shaded, hence the inequality is given as follows:

y < x - 4.

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(b) The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

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

f(x) = x²

g(x) = (1/5x)²

The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

To see this, we can rewrite g(x) as g(x) = (1/5)²(x²) = (1/5²)f(x).

This means that g(x) is equal to f(x) scaled vertically by a factor of 5² = 25.

Therefore, the graph of g(x) will be the same shape as the graph of f(x), but stretched vertically by a factor of 25.

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Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

Answer: = 80

kinda hard to explain

Answer:

Step-by-step explanation:

For brand A,

Mean, x1 = (34.36 + 31.26 + 37.36 + 28.52 + 33.14 + 32.74 + 34.34 + 34.33 + 34.95)/9 = 33.44

standard deviation, s1 = √(summation(x - mean)²/n

Summation(x - mean)² = (34.36 - 33.44)^2 + (31.26 - 33.44)^2 + (37.36 - 33.44)^2 + (28.52 - 33.44)^2 + (33.14 - 33.44)^2 + (32.74 - 33.44)^2 + (34.34 - 33.44)^2 + (34.33 - 33.44)^2 + (34.95 - 33.44)^2 = 49.6338

Standard deviation = √(49.6338/9

s1 = 2.35

For brand B,

Mean, x2 = (41.08 + 38.22 + 39.59 + 38.82 + 36.24 + 37.73 + 35.03 + 39.22 + 34.13 + 34.33 + 34.98 + 29.64 + 40.60 )/13 = 36.89

Summation(x - mean)² = (41.08 - 36.89)^2 + (38.22 - 36.89)^2 + (39.59 - 36.89)^2 + (38.82 - 36.89)^2 + (36.24 - 36.89)^2 + (37.73 - 36.89)^2 + (35.03 - 36.89)^2 + (39.22 - 36.89)^2 + (34.13 - 36.89)^2 + (34.33 - 36.89)^2 + (34.98 - 36.89)^2 + (29.64 - 36.89)^2 + (40.60 - 36.89)^2 = 124.5024

Standard deviation = √(124.5024/13

s2 = 3.09

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

For a 98% confidence interval, we would determine the z score from the t distribution table because the number of samples are small.

Degree of freedom =

(n1 - 1) + (n2 - 1) = (9 - 1) + (13 - 1) = 20

z = 2.528

x1 - x2 = 33.44 - 36.89 = - 3.45

Margin of error = z√(s1²/n1 + s2²/n2) = 2.528√(2.35²/9 + 3.09²/13) = 2.935

The 98% confidence interval is

- 3.45 ± 2.935

answer:

\((3x+5)(x+1)\)

explanation:

\(3x^2 +8x + 5\)

\(3x^2 +3x+5x + 5\)

\(3x(x+1)+5(x+1)\)

\((3x+5)(x+1)\)

\(3x² + 8x + 5\)

\(3x² + 3x + 5x +5\)

\(3x(x + 1) +5(x + 1)\)

\((3x + 5) (x + 1)\)

Answer :— \((3x + 5) (x + 1)\)

Answer:

Approximately Normal

Step-by-step explanation:

The sample size is large (n=50≥30), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.

a) The equation for Bueller's height above the ground as a function of time is: h(t) = 9 cos(πt/8) + 1.5

b) When Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.

In mathematics, a function is a rule that assigns a unique output value to each input value in a specified set. More precisely, a function is a set of ordered pairs (x, y) where each x-value (the input) corresponds to exactly one y-value (the output).

In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. An equation consists of two sides, the left-hand side, and the right-hand side, separated by an equal sign (=).

According to the given information,

a) To determine an equation for Bueller's height above the ground as a function of time, we can use the equation for the height of a point on a Ferris wheel:

h(t) = r cos(ωt) + h0

where:

1) h(t) is the height of the point above the ground at time t

2) r is the radius of the Ferris wheel

3) ω is the angular velocity of the Ferris wheel (in radians per second)

4) t is the time elapsed since the point was at its lowest position

5) h0 is the initial height of the point above the ground

In this case, we know that Bueller boards the Ferris wheel at a height of 1.5 m off the ground, so h0 = 1.5 m. The radius of the Ferris wheel is 9 m, and it rotates once every 16 seconds, so the angular velocity is:

ω = 2π / T = 2π / 16 = π / 8 radians per second

Therefore, the equation for Bueller's height above the ground as a function of time is:

h(t) = 9 cos(πt/8) + 1.5

b) To find Bueller's height off the ground when he has been on the ride for 1 minute and 30 seconds (or 90 seconds), we can substitute t = 90 into the equation for h(t):

h(90) = 9 cos(π(90)/8) + 1.5

h(90) = 9 cos(11.25π) + 1.5

Using a calculator, we get:

h(90) ≈ -6.3 m

Note that the negative sign means that Bueller is below ground level, which is not physically possible. This occurs because we started counting time from the bottom of the wheel, so 90 seconds corresponds to the bottom position plus 5 and a half rotations. To fix this, we can add a multiple of the period T = 16 seconds to t to bring it back to the correct range:

h(t) = 9 cos(πt/8) + 1.5

h(90 + 5T/2) = 9 cos(π(90 + 5T/2)/8) + 1.5

h(90 + 5T/2) = 9 cos(π(2 + 5/16)) + 1.5

h(90 + 5T/2) ≈ 10.5 m

Therefore, when Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.

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The probability of 1. Favorite fruit is apple: 25/120 2. Favorite fruit is orange or grapes is 0. 458 3. Favorite fruit is apple and orange is 0.026 4. Favorite fruit is banana is 1/3.

Probability is a way to gauge how likely something is to happen. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the event.

The probability of an occurrence can be determined by dividing the number of possible outcomes by the number of ways the event could occur.

From the given bar graph we see that the total number of fruits are:

25 + 15 + 20 + 40  = 120

Now,

1. Favorite fruit is apple:

25/120

2. Favorite fruit is orange or grapes:

15/120 + 40/120 = 0.125 + 0.333 = 0. 458

3. Favorite fruit is apple and orange:

(25/120) (15/120) = 0.026

4. Favorite fruit is banana:

40/120 = 1/3

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The measures of the angles and arcs of the circle are;

The sum of the digits in the shaded = 1  + 3 + 7 + 2 + 3 + 4 + 6 = 26

26 - 14 = 12

Using the decoder wheel, we get; FVMMO

An arc is a portion or part of the circumference of the circle.

The arc angles from the diagrams indicates;

1. mPR = 90 + (90 - 67) = 113

2. mQST = mQR + mRST

mQST = 23 + 180 = 203

3. 8·x - 15 + (3·x + 8) = 180 (Linear pair angles)

11·x - 7 = 180

11·x = 187

x = 187/11 = 17

x = 17

4. LM = 3·x + 8

Therefore; LM = 3 × 17 + 8 = 59

LM = 59

5. m∠DAC = 156/2 = 78

6. mBC = 180 - 156 = 24

7. m∠ADB = 43

mAB = 43 × 2 = 86

mABD = 180 + 86 = 266

8. 2 × (7·x -3) = 17·x - 30

14·x - 6 = 17·x - 30

17·x - 14·x = 3·x = 30 - 6 = 24

x = 24/3 = 8

x = 8

9. m∠YZX = 7·x -3

m∠YZX = 7 × 8 - 3 = 53

m∠YZX = 53

10. m∠WXZ = 62/2 = 31

The angle formed by the intersection of WY and XZ is therefore;

mWZY = 180 - (2 × 53) + 63 = 137

mWXY = 180 - (2 × 31) + (17 × 8 - 30) = 224

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Answer:

a or 1. $40,000 is the down payment

b or 2. 180 months = 15 years

c or 3. $168,400 is the left over payment (including mortgage)

d or 4. $935.56 (the monthly payment)

Step-by-step explanation:

1. To calculate the down payment, we need to calculate 20% of $200,000.

200,000 x 0.20  = $40,000

Therefore, the down payment on the home costs $40,000.

2. Now, let's figure out how many months are in 15 years.

15 x 12 = 180

So, the mortgage will be paid in 180 months.

3. Next, we need to find out how much money needs to be paid in the 15 years.

200,000 - 40,000 = $160,000

This price will also include an annual interest rate of 5.25%. So, we need to find 5.25% of $160,000.

160,000 x 0.0525 = $8,400 <--- interest rate when rounded to the nearest cent.

160,000 + 8,400 = $168,400 <--- total amount over 15 years

4. To find the monthly payment, we must divide the total amount of money ( or  $168,400), by the number of months, (or 180.)

$168,400 ÷ 180 = $935.56 when rounded to the nearest cent.

Hope this helps! :)

Answer:

+40 to both sides of the = sign.

Step-by-step explanation:

x2-40=0

    +40=+40

x2=40

 /2=/2

x=20

The minimum cost that she will incur to fence her garden with dimensions, 32 m width and 48 m length, is K3,200.

The minimum cost is a product of the multiplication of the perimeter of the garden and the cost of materials per meter.

The perimeter shows the total length around the garden, which is two lengths and two widths.

The width of the rectangular garden = 32 m

The length of the rectangular garden = 48 m

The perimeter of the rectangular garden = 160 m [2 (32 + 48)]

The cost of fencing materials per meter = K20

The minimum cost for fencing the garden = K3,200 (K20 x 160)

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A rectangular garden is 32 m wide and 48 m long. If the fencing material costs K20 per meter, then what would be the minimum cost to fence her garden?

The minimum cost that will be used to fence a rectangular garden with length 48 m and w 32 m is K3200

To calculate the minimum cost required to fence the garden, we need to find the perimeter of the rectangular garden.

Perimeter is given as,

P= 2(l + w)

l = 48 m, w = 32 m

Thus,

P = 2(48 m + 32 m) = 2(80 m)

P = 160 m

Since the perimeter of the garden is 160 m, hence, we need 160 meters of fencing material.

Given that the cost of fencing material is K20 per meter, the total cost to fence the garden would be:

Total cost = 160 m * K20 per m = K3200

Therefore, the minimum cost to fence the garden would be K3200.

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Question is incomplete, find complete question below

A rectangular garden is 32 m wide and 48 m long. If the fencing material costs K20 per meter, then what would be the minimum cost to fence her garden?

Answer:

Option D

Step-by-step explanation:

→ Add the x-coordinates together divide by 2 and then add the y-coordinated together and then divide by 2

- 1 + -6 = -1 - 5 = -7 ÷ 2 = -3.5

5 + -2 = 3 ÷ 2 = 1.5

Answer:

1.94 & -1.94

Step-by-step explanation:

I took the test! Hope this helps :)

Step-by-step explanation:

here you go hopw it helps you

Answer:

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

Answer:

\(f(x) =2 {(x - 1)}^{2} + 3x - 7 \\ f(0) = 2{(0 - 1)}^{2} + 3(0) - 7 \\ f(0) = 2 {( - 1)}^{2} + 0 - 7 \\ f(0) = 2(1)- 7 \\ f(0) = 2 - 7 \\ f(0) = - 5 \)

__o_o__

\(f(x) = 2 {(x - 1)}^{2} + 3x - 7 \\ f( - 3) = 2 {( - 3 - 1)}^{2} + 3( - 3) - 7 \\ f( - 3) = 2 {( - 4)}^{2} - 9 - 7 \\ f( - 3) = 2(16) - 16 \\ f( - 3) = 32 - 16 \\ f( - 3) = 16\)

I hope I helped you^_^

Answer:

9372000

Step-by-step explanation:

9372282 rounds to 9372000

Since we're rounding to the thousand, we need to look at the number in the hundreds place, in this case it's 2 (9372282). 2 is lower than 5, so we round down. If it was 5 or higher, we'd round up. Rounding down means, we just keep the other 2 as a 2 (9372282), and change the numbers after to 0s (9372000)  

Answer:

The solutions to the equation 9 + 6/x = x + 10 are x = -3 and x = 2.

Step-by-step explanation:

To solve the equation 9 + 6/x = x + 10 for x, we can follow these steps:

Subtract 9 from both sides of the equation to isolate the 6/x term:

6/x = x + 1

Multiply both sides of the equation by x to eliminate the fraction:

6 = x^2 + x

Rearrange the equation into standard quadratic form:

x^2 + x - 6 = 0

Factor the quadratic:

(x + 3)(x - 2) = 0

Use the zero product property to find the solutions:

x + 3 = 0 or x - 2 = 0

x = -3 or x = 2

Therefore, the solutions to the equation 9 + 6/x = x + 10 are x = -3 and x = 2.

Answer:

\(\approx 0.482659\)

Step-by-step explanation:

The experimental probability is the chance of an event happening based on data, or rather the experiment results, and not on a theoretical calculation. In essence, a theoretical calculation can be described by the following formula:

\(\frac{desired}{total}\)

However, the experimental probability can be described with the following formula:

\(\frac{number\ of\ desired\ outcomes}{number\ of \ trials}\)

The number of trials is the sum of the number of outcomes. In this case, the desired outcome is tails. Therefore, the experimental probability can be described using the following formula:

\(\frac{tails}{total}\)

One can also rewrite the formula as the following. This is because the total is the sum of the number of the two outcomes:

\(\frac{tails}{heads+tails}\)

Substitute,

\(\frac{167}{167+179}\)

Simplify,

\(\frac{167}{346}\)

Rewrite as a decimal:

\(\approx 0.482659\)

The probability that the basketball player makes 0 shots out of 3 is 0.343, or 34.3%. This can be calculated by using the binomial probability formula.

To calculate the probability of any outcome of a binomial experiment, use the formula: P(x) = nCx * px * (1-p)n-x, where n is the number of trials, x is the number of successes, and p is the probability of success in any one trial.

The Binomial Probability formula is

In this case, n = 3, x = 0, p = 0.39, and (1-p) = 0.61. Plugging these values into the formula, we get

P(x) = 3C0 * \(0.39^0\) * 0.61³

= 0.343.

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Answer:

2 points

Step-by-step explanation:

The horizontal distance between points A(-2.5, -1.5) and B(-0.5, -1.5) is 2.

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

The given coordinate points are A(-2.5, -1.5) and B(-0.5, -1.5).

Here, the horizontal distance is 2 units

Therefore, the horizontal distance between points A(-2.5, -1.5) and B(-0.5, -1.5) is 2.

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Do you mean \(\frac{x}{x} < 20\) ? If so, after converting the inequality into interval notation, your solution would be (-∞, ∞).

Hope this helps! If not, feel free to comment below on any further questions you may have regarding this topic/question, and I'll see how I can help. Thanks and good luck!

In the given situation the sample space has 16 elements and the sample space is:

1H   2H    3H    4H    5H    6H    7H    8H

1T    2T    3T     4T    5T     6T     7T    8T

A sample space is a set of potential results from a random experiment.

The letter "S" is used to denote the sample space.

Events are the subset of possible experiment results.

Depending on the experiment, a sample area could contain a variety of results.

There are just two possible results when we toss a coin: either head or tail.

So, S = H, T, where H is the head and T is the tail, will be the sample space.

As a result, we are aware that there will be a total of 2n outcomes available if there are 'n' coins.

So, the coin has 2 outcomes which are H and T.

And the spinner has 8 outcomes which are 1 - 8.

Then, the sample space would be as follows:

1H   2H    3H    4H    5H    6H    7H    8H

1T    2T    3T     4T    5T     6T     7T    8T

So, the sample space has a total of 16 elements.

Therefore, in the given situation the sample space has 16 elements and the sample space is:

1H   2H    3H    4H    5H    6H    7H    8H

1T    2T    3T     4T    5T     6T     7T    8T

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Answer:

325

Step-by-step explanation:

i dont know

The population we're trying to predict is the population that is going to be Voters in our area, the where should probably be well as above our area, and the how now, generally speaking, we want to do a simple, random, or a random sample of some sort, random sample.

For instance, what you could do would be something like choose: random addresses in the area and send a survey, but sending a survey could introduce self-selection bias. So it would be ideal to visit in person basically and ask a few questions making sure the representative sample or how to ensure that we're getting a representative sample would be to, for instance, filter the random results and make sure that we have an even distance.

Ensure that there's an equal number within each quadrant of the town, basically split up the town.  Split towns into regions of populations or population densities and make sure we get the same proportion from each region.  However, we end up splitting the town into different regions. We show the proportion or show who is the most popular candidate in each 1 of the regions, so it could be something like this. That was supposed to be an alternative to a bar graph. The number of results for each different candidate depends on whether or not there's a sort of well-defined districts or areas in the town, but most sorts of relatively large cities have things like that. So the idea would be to represent not just the location, but also the information that you gain separately.

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Split up the town so that there are an equal amount in each of its four quadrants. Make sure we receive the same proportion from each region by dividing towns into population or population density regions. But ultimately, we divide the town into many parts. It might look something like this since we display the percentage or the candidate who is most supported in each location. That was meant to be a bar graph substitute. Whether or not a town has clearly defined districts or areas affects the amount of results for each candidate, although this is true of most types of moderately large cities.

Answer:

The answrr would be  D

Step-by-step explanation:

i did the k12 quiz

Answer:

yes

Step-by-step explanation:

Answer:

YES IT IS!!

Step-by-step explanation:

!!