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Valentin [98]
2 years ago
10

Fred and George ate 23 apples in July, 46 apples in August, 69 apples in September, and 92 apples in October. If this trend cont

inued, how many apples did Fred and George eat in November?
Mathematics
1 answer:
VARVARA [1.3K]2 years ago
4 0
The answer is 115

The sequence of the total apples look like this:

23 _ 46 _ 69_92_X

In which x is the total amount of apples eaten in the october.

From the sequence above we can see that each months gred and george consume additional of 23 apples

proof:
46 - 23 = 23
69 - 46 = 23
92 - 69 = 23

So, the amount of apples they will eat in November is:
92 + 23 = 115



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An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and
uranmaximum [27]

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.

Distance in kilometers taken by variable d.

Number of hours by t.

And situation is given d=50t.

We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.

In the given fuction y is taken by variable d and x is taken by variable t.

If we compare d=50t by y = mx, the value of k is 50.

Therefore, constant of proportionality is 50.

Constant is a number that never change it's value.

Therefore, constant of proportionality is just 50.

But we can say variables d and t are two variables those are directly proportional to each other.

Constant of proportionality is actually unit rate of change.

For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)

If we divide 400km 8 hours, we get 400/8 = 50 km per hour.

Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".

And the constants of proportionality is just 50.

7 0
2 years ago
George still has 40 percent of his book to read. If George has read 180 pages, how many pages does he still have to read? How do
beks73 [17]

Answer:  72

Step-by-step explanation:    so you do a line = line method the lines should look like they are fractions.  

you do it for the both numbers the percent is always out of 100.

it should look like this

40%            ?

--------- = -----------    

100%       180

then you cross multiply 40 and 180 and than divide it by 100.   your answer should be 72.    you later replace the ? with 72

you know this because It is smaller than 180 and its bigger than the number 40.

5 0
2 years ago
11) Which of the following is NOT an assumption of Simple Linear Regression?
makvit [3.9K]

Answer:

11) c. the independent variables are not col-linear

12) b. Bar graph

13) a. Units of distance from the mean

14) d. None of the above

15) b. The difference between the predicted Y and observed Y

16) c. There is no spatial auto-correlation

17) a. It has a low Adjusted R²

18) c. A point that can influence the regression in a way that reflects the value of most other points

19) c. Rejecting the Null hypothesis incorrectly

20) c. The variable is not normally distributed

Step-by-step explanation:

11) With simple linear regression there is a col linear relationship between the dependent variable and the independent variables

Therefore, the correct option is c. the independent variables are not col linear

12) The bar graph which is also known as a bar chart, is used for the frequencies of data that are categorized

Therefore, the correct option is b. Bar graph

13) The z-value is a measure of the distance from the mean, therefore, the correct option is a. Units of distance from the mean

14) The higher the R² value the increased correlation between the factors of the dependent variable and the independent variable

Therefore, the correct option is d. None of the above

15) In an OLS residual error = Observed value of Y - Predicted value of Y

Therefore, the best option is b. The difference between the predicted Y and observed Y

16) A Moran's I value of zero indicates perfect randomness or no auto-correlation

The correct option is therefore, c. There is no spatial auto-correlation

17) The adjusted R² value increases when the added variable improves the model to the observation correlation more than would be expected by chance alone, therefore, the correct option is a. It has a low Adjusted R²

18) A leverage point is a point that is far from the other points in the observation, therefore, the correct option is c. A point that can influence the regression in a way that reflects the value of most other points

19) A type 1 error occurs when an accurate (statistically acceptable) null hypothesis is rejected therefore, the correct option is c. Rejecting the Null hypothesis incorrectly

20) The Quantile-Quanttile (QQ) plot is a technique used for checking the commonness of the sources of two sets of data, therefore sources of data that are from the source (hence normally distributed) align with the diagonal lines in a QQ-Plot

The correct option is therefore c. The variable is not normally distributed

8 0
2 years ago
Which is the best approximation for the solution of the system of equations? y = A system of equations. y equals negative StartF
Alla [95]

Answer:

(0.88, 0.65)

Step-by-step explanation:

Given that the two equations of the line are:

y =( -2/5)x + 1 and  y = 3x – 2. To find the solution, we have to solve the equations simultaneously.

y =( -2/5)x + 1       .             .            .      1)

y = 3x – 2             .            .             .      2)

Subtracting equation 1 from equation 2:

3.4x -3 = 0

3.4x = 3

Dividing through by 3.4

3.4x/3.4 = 3/3.4

x = 0.88

To find y, substitute x = 0.88 in equation 2:

y = 3(0.88) - 2

y = 2.65 - 2

y = 0.65

This means that the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65)

7 0
2 years ago
Read 2 more answers
Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 4
almond37 [142]
1) From the measure of 40°, you can write:

tan(40°) = 100/x, where x is the base from the building to the tower

⇒x=100/tan(40°) = 119,18 m

2) From the measure of 30°, you can write

tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.

Then, y = tan(30°) * 119,18 = 68,81 m

3) The height of Jill's building is 100 - 68,81 = 31,19 m
4 0
2 years ago
Read 2 more answers
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