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Use the regression line yhat = 101 12x to find the residual for the point (7,17).

Answer:- Hence, the  combination will maximize total utility is \(12.\)

Step-By-Step-Explanation:-

What is cost?

Cost is the amount of money you spent to make the product or service. Price is what you will charge for it.

Here given that,

The cups and plates budget is \($18 (3 plates x $6 each + 6 cups x $3 each)\)

Then the utility for the combination is \(12 (3 plates x 4 utility each + 6 cups x 2 utility each).\)

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a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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Answer:

scale factor = 3

Step-by-step explanation:

since the origin is the centre of dilatation then the scale factor is the ratio of corresponding coordinates, image to original.

given D (12, - 4 ) and D' (36, - 12 ) , then

scale factor = \(\frac{36}{12}\) = \(\frac{-12}{-4}\) = 3

515151÷333 = 1547

Thanks.....

Answer:

Step-by-step explanation:

It was on khan :)

The number of blue balloons if Rachel bought 60 packets is 18

Number of packets of balloons Rachel bought= 60

1/10 of the balloons were yellow

Number of yellow = 1/10 × 60

= 60/10

= 6 packets

3/5 of the balloons were red

Number of red = 3/5 × 60

= 180/5

= 36 packets

Number of blue = Total - (yellow + red)

= 60 - (6 + 36)

= 60 - 42

= 18 packets

Hence, Rachel bought 18 packets of blue balloons.

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C

Step-by-step explanation:

hope this helps

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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\(1. \ \text{Points} \ \text{R}(4,1) \ \text{S}(7,3) \ \text{T}(6,4) \ \text{after translation}\)

\(2. \ \text{R}(4-3,1) \ \text{S}(7-3,3) \ \text{T}(6-3,4)\)

\(3. \ \text{R'}(1,1) \ \text{S'}(4,3) \ \text{T'}(3,4)\)

\(4. \ \text{Points} \ \text{R'}(1,1) \ \text{S'}(4,3) \ \text{T'}(3,4) \ \text{after reflection}\)

\(5. \ \text{R"}(1,-3) \ \text{S"}(4,-5) \ \text{T"}(3,-6)\)

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The correct answer is  you will get approximately £1.30 for one Australian dollar.

To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.

Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:

£1 / (US$1.11316) = A$1 / (US$0.8558)

To find the value of £1 in Australian dollars, we can rearrange the equation:

£1 = (A$1 / (US$0.8558)) * (US$1.11316)

Calculating this expression, we get:

£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992

Therefore, you will get approximately £1.30 for one Australian dollar.

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Answer:

  7776 m^3

Step-by-step explanation:

The ratio of volumes is the cube of the scale factor. Here, the actual tower has dimensions 60 times those of the model, so the actual volume is ...

  (36,000 cm^3)(60^3) = 7.776·10^9 cm^3

  = 7.776·10^9(10^-2 m)^3

  = 7776 m^3

The actual tower block has a volume of 7776 m^3.

Answer:

Therefore, volume of actual tower = 2.16 m³

Step-by-step explanation:

Scale of model to actual tower = 1:60

This means that the actual tower is larger than the model tower by a scale of 60 times

To calculate the volume of the actual tower, the following steps are used:

1 cm³ of model tower = 60 cm³ of actual tower

∴ 36,000 cm³ of model tower = 60 × 36,000 = 2,160,000 cm³

converting to m³

100 cm = 1 m

(100 cm)³ = (1 m)³

1,000,000 cm³ = 1 m³

∴ 1 cm³ = \(\frac{1}{1,000,000} m^{3}\)

∴ 2,160,000 cm³ = \(\frac{2,160,000}{1,000,000} m^{3}\) = 2.16 m³

Therefore, volume of actual tower = 2.16 m³

Answer:

C, 6 by 15 ft.

Step-by-step explanation:

10*3/2=15, and 4*3/2=6, so we get 6 by 15ft

Pls brainliest for leveling up

Answer: 6.4 minutes

Step-by-step explanation:

400x4 = 1600

1600 / 250 = 6.4

Answer:

b=-1

Step-by-step explanation:

First step to any algebraic equation is to combine like-terms. This would mean that we would have to subtract 4b from both sides, I'm assuming its supposed to be plus ten and you just typed it wrong but, we get 5b+15=10 here we  subtract 15 from both sides and get 5b=-5. Now we isolate the variable b, getting b=-1.

The total value of a triangle's angles is 180*

so x=180-y-z

x=180-76-41

x=63*

hope it helps

Answer:

7/3 or 2 1/3

Step-by-step explanation:

35:15 find the GCF (greatest common factor) and divide both sides by it.

The ratio should now be 7:3

To convert this into a fraction, simply make the first number the numerator and the second number, the denominator.

The fraction should now be 7/3.

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

8125 can be written as the fraction 8125/1.

8125 is a whole number and it can be written as a fraction with a numerator of 8125 and a denominator of 1. This fraction represents the whole number 8125 without any remainder.

In other words, 8125/1 is equal to 8125. However, it is possible to simplify this fraction by dividing both the numerator and denominator by a common factor.

For example, 8125 can be divided by 5, resulting in the fraction 1625/1. This fraction is also equal to 8125, but it is in its simplest form.

In general, any whole number can be written as a fraction with a denominator of 1. It is important to remember that a fraction represents a division and the numerator represents the number of parts we want and the denominator represents the number of parts the whole is divided into.

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Answer:

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

The point-slope form of an equation of a line:

y - y₁ = m(x - x₁)

(x₁, y₁) - point on a line

m - slope

We have the line y - 9 = 7(x + 5). The slope m = 7.

A) y - 9 = 3x + 4 → m = 3

B) y = -9x - 5 → m = -9

C) y + 5 = 7(x - 9) → m = 7

D) y - 9 = 5(x + 4) → m = 5

The line C) y + 5 = 7(x - 9) has the same slope.

Answer:

is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.

Step-by-step explanation:

Answer:

nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents

Answer:

2x + 2y

Step-by-step explanation:

Tammy will earn $45 for washing the 5 cars.

A relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Tammy earns $81 washing 9 cars.

Now, At this rate,

Tammy will earn for washing the 5 cars is, x

Hence, We can formulate by definition of proportion,

⇒ 81/9 = x/5

⇒ 9 × 5 = x

⇒ x = $45

Hence, Tammy will earn $45 for washing the 5 cars.

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Using it's concepts, we have that:

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

For this problem, we have that the number of swings is dependent on the mass of the pendulum, hence:

Number of Swings = f(mass).

Thus:

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The range of people who like both coffee and tea is between 75% and 75%, with the total number of people who like both being 75%.

If 70% of people like coffee, and 80% of people like tea, the minimum number of people who like both coffee and tea is the smaller percentage, which is 70%. The maximum number of people who like both coffee and tea is the smaller of the two percentages, which is 80%.

Therefore, the range of people who like both coffee and tea is 70% to 80%.

To calculate the actual range, you must first calculate the difference between the two percentages:80% - 70% = 10%

Then divide that difference by 2 and subtract and add it to the smaller number:

10% ÷ 2 = 5%

Lower bound: 70% + 5% = 75%

Upper bound: 80% - 5% = 75%

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