4 3/6×11 7/12=??. Can y'all please help I kinda need it , I'm failing math ​

An estimated regression equation that can be used to predict a residence's average monthly gas bill for last year given its age is \($\hat{y} = 115.14 - 3.167x$\). The average monthly gas bill for last year increases by $0.2456 on average.

Using age as the predictor variable and average monthly gas bill as the response variable, we can use linear regression to develop an estimated regression equation:

\($\hat{y} = b_0 + b_1 x$\)

where \(\hat{y}\) is the predicted average monthly gas bill, x is the age of the residence, b₀ is the intercept and b₁ is the slope.

Using the given data, we can find the values of b₀ and b₁:

\($\bar{x} = \frac{1}{n} \sum_{i=1}^{n} x_i = 17.6$\)

\($\bar{y} = \frac{1}{n} \sum_{i=1}^{n} y_i = 55.906$\)

\($s_x = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}} = 8.564$\)

\($s_y = \sqrt{\frac{\sum_{i=1}^{n} (y_i - \bar{y})^2}{n-1}} = 24.193$\)

\($r = \frac{\sum_{i=1}^{n} (x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum_{i=1}^{n} (x_i - \bar{x})^2} \sqrt{\sum_{i=1}^{n} (y_i - \bar{y})^2}} = -0.577$\)

\($b_1 = r \frac{s_y}{s_x} = -3.167$\)

\($b_0 = \bar{y} - b_1 \bar{x} = 115.14$\)

Therefore, the estimated regression equation is:

\($\hat{y} = 115.14 - 3.167x$\)

where \(\hat{y}$\) is the predicted average monthly gas bill and x is the age of the residence.

This equation suggests that as the age of the residence increases by one year, the average monthly gas bill for last year increases by $0.2456 on average.

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1) Considering the equation

3x -10 = -16 Add 10 to both sides

3x -10+10= -16 +10

The margin for the runners is 50% and the Margin percentage is 33.33% (to the nearest percent).

When the shop sells runners at a mark-up of 50%, we need to find out the margin for these runners.

What is markup?

The mark-up is a percentage that you add to the cost price of a product to get the selling price. The mark-up percentage is calculated based on the cost price of the product.

Let the cost price of the runner be CP and the markup percentage be M%

Since the shop is selling the runners at a 50% markup, the selling price of the runners would be 150% of their cost price.

Selling price = (100 + M)% × Cost priceSelling price = (100 + 50)% × CP = 150% × CP = 1.5 × CP

Therefore, the margin for the runners can be calculated as follows:

Margin = Selling price - Cost price

Margin = 1.5 × CP - CP = 0.5 × CP

Clearly, the margin on runners is 50% of their cost price.

The percentage of margin can be calculated as follows:

Margin percentage = (Margin / Selling price) × 100Margin percentage = (0.5 × CP / 1.5 × CP) × 100Margin percentage = (1/3) × 100Margin percentage = 33.33%

Therefore, the margin for the runners is 50% and the margin percentage is 33.33% (to the nearest percent).

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Solution

67)

68)

Draw a right angle triangle:

Answer:

20361.18283

Step-by-step explanation:

p(1+r/100)n

12500(1+5/100)power 10

i hope this answer helps a little bit.

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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Answer:

55:3 165

Step-by-step explanation:

110:2/2=55

x3 165

Answer:

M could be 15!

Step-by-step explanation:

As long as Y is greater than M, it should be Y + 43 > 30 + M.

Hope this helps.

Answer:

x=-2, y=-4

Step-by-step explanation:

Substitute x=y+2

Simplify [ 7y +10 = -18 ]

Substitute y = -4

Simplify x = -2

4 hours for 18

7 hours for 25.50

Difference in hours: 7-4 = 3

Difference in cost: 25.50 - 18 = 7.50

7.50 / 3 = 2.50

A. They charge 2.50 per hour.

B. 2.50 x 4 = 10

18 - 10 = 8

The flat fee is 8 dollars

C. 8 + (2 x 2.50) = 13 dollars

Answer:

Step-by-step explanation:

i think its the third one, the shirt cost x dollars and i had a counpon for 75 percent off

The probability that the sample mean is greater than 168 is approximately 0.0655, or 6.6% (rounded to the nearest tenth of a percent).

To find the probability that the sample mean is greater than 168, we can use the central limit theorem and the properties of the normal distribution.

The central limit theorem states that for a large enough sample size (in this case, n = 50), the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 164 and the population standard deviation is 18.65, we can calculate the standard deviation of the sample mean, also known as the standard error, using the formula:

Standard Error (SE) = Population Standard Deviation / √(Sample Size)

SE = 18.65 / √50

SE ≈ 2.636

Next, we need to standardize the value of 168 using the sample mean and the standard error. This allows us to calculate the probability using the standard normal distribution.

Z = (Sample Mean - Population Mean) / Standard Error

Z = (168 - 164) / 2.636

Z ≈ 1.516

To find the probability that the sample mean is greater than 168, we can look up the corresponding area under the standard normal curve to the right of Z = 1.516. This can be done using a standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we find that the area to the right of Z = 1.516 is approximately 0.0655.

Therefore, the probability that the sample mean is greater than 168 is approximately 0.0655, or 6.6% (rounded to the nearest tenth of a percent).

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Answer:

(x+4)(x-8)

Step-by-step explanation:

Answer:

lâp bảng  

Step-by-step explanation:

X=0 thì xác suất lấy ra được sản phẩm tốt là 5*30%=1,5%

X =1 thì xác suất lấy ra được là 1* 70%*4*30%=0,84%

X=2 thì xác suất lấy ra được sản phẩm tốt là 2*70%*3*30%=1,26%

X=3 thì xác suất lấy ra được sản phẩm tốt là 3*70%*2*30%=1,26%

X=4 thì xác suất lấy ra được sản phẩm tốt là 4*70%*1*30%=0,84%

X=5 thì xác suất lấy ra được sản phẩm tốt là 5*70%=3,5%

X 0 1 2 3 4 5

P 1,5 0,84 1,26 1,26 0,84 3,5

b,

E(x)= 1,5*0+ 0,84*1+1,26*2+1,26*3+0,84*4+3,5*5=28

E(x^2)=1,5*0^2+0,84*1^2+1,26*2^2+1,26*3^2+0,84*4^2+3,5*5^2=118,16

===> V(x)= (E(x))^2-E(x^2)=28^2-118,16=665,84

Answer: \(y-2=3(x-4)\\y=3x-12+2\\-3x+y=-10\\3x-y=10\)

Step-by-step explanation:

I showed the steps to find the equation. In case you need to know, I used point-slope form, which involves using the formula y-y1=m(x-x1), in which you use a point like (4,2) and the slope, which we know is 3x since it's parallel to the original line. Simplifying and bringing it to standard form such as Ax+By=C. Ax has to be positive, which is why -3x went to positive, and y and -10 switched signs.

Using trigonometric identity, cos(A-B) is:

\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

If sin A = 1/3 and A terminates in Quadrant 1. All trigonometric functions in Quadrant 1  are positive

sin A = 1/3 (sine = opposite/hypotenuse)

adjacent = √(3² - 1²)

               = √8 units

cosine = adjacent/hypotenuse. Thus,

\(cos A = \frac{\sqrt{8} }{3}\)

If cos B = 2/3 and B terminates in Quadrant 4.

opposite = √(3² - 2²)

                = √5

In  Quadrant 4, sine is negative. Thus:

\(sin B = \frac{\sqrt{5} }{3}\)

We have:

cos(A-B) = cosA CosB + sinA sinB

\(cos (A-B) = \frac{\sqrt{8} }{3} * \frac{2}{3} + \left \frac{1}{3} * \frac{\sqrt{5} }{3}\)

\(cos (A-B) = \frac{2\sqrt{8} }{9} + \left\frac{\sqrt{5} }{9}\)

\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)

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Answer:

A) 5n − 11

B) 11 − (n + 5)

C) 11 − 5n

D) 5(n − 11)

Your Welcome ;)

The required verbal algebraic expressions are given as ,
(a)  5x - 11    (b) (x + 5) - 11

(c)  5x - 11     (d) (x - 11)×5

The algebraic expression consists of constants and variables. eg x, y, z etc.

Here,
Let the number x,

a. The product of five and a number, decreased by eleven

⇒ 5x - 11

b. The sum of a number and five less than eleven

⇒ (x + 5) - 11

c. Five times a number fewer than eleven

⇒5x - 11

d. The quantity of a number minus eleven, multiplied by five

⇒(x - 11)×5

Thus, the required expression is shown above

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Answer:

16

Step-by-step explanation:

{} {1,2,3,4}{1}{2}{3}{4}{1,2}{1,3}{1,4}{2,3}{2,4}{3,4}{1,2,3}{1,2,4}{1,3,4}{2,3,4}

Solution:

The given information would be illustrated with the image below as;

We would apply the tangent ratio. Let x be the distance between the base of cliff and the ship. We have;

Then, we have;

FINAL ANSWER:

Answer:

vertex of an angle

Step-by-step explanation:

two Ray's with a common end point is called vertex of angle and Ray's itself called side of an angle

Answer:

Step-by-step explanation:

13+(12-x)+14+(20-x)+x+(15-x)+8=74

solve for x

x=4

Answer:

Step-by-step explanation:

The formula of volume is length x width x height.

There are 16 possible combinations of two cards, where the first one is a red card and the second one is a face card.

There are 16 ways to select two cards, where the first one is a red card and the second one is a face card. The combinations are: Red Ace, Red King, Red Queen, Red Jack, Red 10, Red 9, Red 8, Red 7, Red 6, Red 5, Red 4, Red 3, Red 2, Hearts King, Hearts Queen, Hearts Jack, and Hearts 10.

There are 16 possible combinations of two cards, where the first one is a red card and the second one is a face card. These combinations include all of the red cards in a standard deck, as well as the King, Queen, Jack, and 10 of Hearts.

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The scale factor is 2.5

for B = 10/4 = 2.5

for C = 15/6 = 2.5

The discount is 15%, multiply the price y 15%:

5000 x 0.15 = 750

The discount is 750