Find the Median from the number set 6, 11, 7, 4, 12, 15, 1

Answer:

384

Step-by-step explanation:

A=\(6_{2}\)a=6·82=384

The angles between which the segment AB are given as follows:

D. <A and <B.

The sides to the triangle are given as follows:

The angles are given as follows:

For each segment, we have that the angles are given by the vertices, hence the angles of segment AB are <A and <B.

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if you divide "1" into two equal parts, each part would be 0.5. If you divide it into four equal parts, each part would be 0.25.

The concept of "1" in mathematics typically represents a whole unit or a single entity. However, your question about how many parts "1" equals to requires clarification. If you are referring to dividing a whole into parts, then "1" can be divided into any number of parts, as long as each part is equal.

For instance, if you divide "1" into two equal parts, each part would be 0.5. If you divide it into four equal parts, each part would be 0.25, and so on. In this context, "1" can be divided into an infinite number of parts, depending on the desired level of precision or subdivision.

On the other hand, if you are referring to expressing "1" as a fraction or a ratio, it can be written as 1/1 or 1:1, indicating that there is one part in total, and that one part is the whole itself.

In this case, "1" is not divided into multiple parts but represents the entirety of a single unit.

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#a

Let sum be x

1/4th of sum:-

#b

Distance be x

1/5th of distance:-

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer: The surface area of the rectangular prism is approximately 4 square yards.

Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

So, we have:

160 = lwh

Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.

Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:

lw = V/h = 160/10 = 16

Now, we have two equations:

lw = 16

wh = 160/10 = 16

Solving for w in the first equation, we get:

w = 16/l

Substituting this expression for w in the second equation, we get:

l(16/l)h = 16

Simplifying, we get:

h = 1

Therefore, the dimensions of the rectangular prism are:

length = l

width = 16/l

height = 10

Now, we can calculate the surface area of the rectangular prism using the formula:

SA = 2lw + 2lh + 2wh

Substituting the values we found, we get:

SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))

SA = 32/l + 20l + 160/l

To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:

dSA/dl = -32/l^2 + 20 + (-160/l^2)

0 = -32/l^2 + 20 - 160/l^2

52/l^2 = 20

l^2 = 52/20

l ≈ 1.44

Substituting this value of l back into the expression for SA, we get:

SA ≈ 4 square yards

Therefore, the surface area of the rectangular prism is approximately 4 square yards.

The sum of the fraction 9/16 + 10/13 is 277/208

Using the values of the denominator to obtain the L.C.M and evaluate the numerator. The L.C.M is us d to divide the denominator and the value obtained is used to multiply the numerator.

The obtained value is summed and expressed as a fraction.

We can take the following steps to solve the question given:

Denominator= 16 and 13

L.C.M = 208

9/16 + 10/13 = (117 + 160)/208

9/16 + 10/13 = (277)/208

Therefore, the sum of the fraction is 277/208

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The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

B

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Considering the store in your neighborhood, price per pound of chicken is $2.89. The cost of 3 pounds is

3 × 2.89 = $8.67

Distance = 2.1 miles

The car averages about 22 miles per gallon in the city. It means that the number of gallons needed is

2.1/22 = 0.095 gallons

Cost of gas = $1.98/gallon

Cost of 0.095 gallons =

1.98 × 0.095 = $0.1881

Total cost = 8.67 + 0.1881 = $8.86

Considering the store across town, price per pound of chicken is $1.59. The cost of 3 pounds is

3 × 1.59 = $4.77

Distance = 8.6 miles

The car averages about 22 miles per gallon in the city. It means that the number of gallons needed is

8.6/22 = 0.39 gallons

Cost of gas = $1.98/gallon

Cost of 0.39 gallons =

1.98 × 0.39 = $0.77

Total cost = 4.77 + 0.77 = $5.54

Therefore, it is cheaper going to the further store. The amount that the cheaper option saves is

8.86 - 5.54 = $3.32

Answer:

2(n + m)

Step-by-step explanation:

The many points a student needs to score on the test to get the given score is 63 points.

From the information, the Test worth is 70points and the test score of 90% is needed.

The score that the student needs will be:

= Required percentage × Total score

= 90% × 70

= 90/100 × 70

= 0.9 × 70

= 63

Based on the information, it's important to note that the concept of percentage was used as the values were multiplied to get the value.

In this case, 63 points are needed.

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Given the shaded area of 63 square units, and the lengths of the bases and the right angle side, we can set up an equation using the formula for the area of a trapezoid. By solving this equation, we find that x is equal to 11.

Let's analyze the given information step by step to find the value of x.

We have a rectangle with two bases, one measuring 7 units and the other measuring x units. Additionally, there is a right angle formed with side x, which means that the height of the trapezoid is also 7 units. We are told that the area of the shaded section is 63 square units.

The formula to calculate the area of a trapezoid is (base1 + base2) * height / 2. Applying this formula to our situation, we can write the equation as (7 + x) * 7 / 2 = 63.

Simplifying the equation, we have (7 + x) * 7 = 126.

Expanding, we get 49 + 7x = 126.

Subtracting 49 from both sides, we have 7x = 77.

Dividing both sides by 7, we find x = 11.

Therefore, the value of x is 11.

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9514 1404 393

Answer:

  None of the choices are correct

Step-by-step explanation:

The squared term (x²) is never negative, so all non-zero range values will be negative. For the given domain values, the range is {0, -12, -3}.

None of the choices are correct.

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Answer:

Can you put the screen more closer to the values

Step-by-step explanation:

Or you could type  in the values so i can see.

Answer:

its b

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

x + 12 ≤ 2x − 3 that's the answer

Answer:

972pi

Step-by-step explanation

Equation of sphere volume = 4/3pir^3

4/3*9^3*pi = 972pi

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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Answer: 48 doghouses

Step-by-step explanation:

We will look at the details given, then we will perform the necessary operations to solve the problem.

     16 bundles of plywood * 12 sheets in a bundle = 192 sheets

     192 total sheets / 4 sheets to build a dog house = 48 doghouses

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Answer:

B

Step-by-step explanation:

180°= straight line

180°-42°=138

Given:

The table of point scored in 5 games.

After game 6, the mean number of points scored per game is 9.

To find:

The points scored by Maya in game 6.

Solution:

Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:

\(Sum=8+12+10+6+14+x\)

\(Sum=50+x\)

We know that, the formula for mean is:

\(\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}\)

So, the mean number of points scored per game is:

\(\text{Mean}=\dfrac{50+x}{6}\)

It is given that the mean number of points scored per game is 9.

\(\dfrac{50+x}{6}=9\)

\(50+x=9\times 6\)

\(x=54-50\)

\(x=4\)

Therefore, the correct option is A.

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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