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3 years ago

Determine the equation is the line with slope 5 that passes through the point M(1,2)

Mathematics

1 answer:

tekilochka [14]3 years ago

8 0

Use the Point-Slope formula:
y - y1 = m(x - x1)
y - 2 = 5 (x - 1)
y - 2 = 5x - 5
y = 5x -3

Answer: A

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If each value of the data of the poplation function is doubled which of the following is not correct?

Anna35 [415]

Answer:

The variance is doubled; C

Step-by-step explanation:

Here, we want to select what will be wrong if every number in the dataset is doubled

A. This is correct

The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers

By doubling the numbers, we have simply doubled the sum while the count is same

So what we have as the result of the division will be 2 times what we had initially making the mean doubled

B. The mode is doubled

Yes, this is correct

The mode is the highest in frequency

Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled

D. The median is doubled

This is correct

The median deals with the middle number.

Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly

C. This is wrong

The variance has to do with the spread of data

We are actually subtracting values

Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change

We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.

3 0

3 years ago

Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?

aalyn [17]

Answer:

it will take him 16 weeks

Step-by-step explanation:

290 subtract 50 equals 240

240 divided by 15 equals 16

7 0

3 years ago

Write the equation of the line with the slope of -6 passing through the point ( − 8 , 0 ).

UkoKoshka [18]

Answer:

y=-6x+48

Step-by-step explanation:

3 0

3 years ago

The sum of the two numbers is 16. One number is 4 less than 3 times the other. Find the numbers.

Otrada [13]

Answer:

5 and 11

Step-by-step explanation:

Make equations:

x+y = 16

3x-4 = y

Substitute 3x-4 as y in x+y = 16

You get x + 3x - 4 = 16

Simplify into 4x - 4 = 16

Add 4 on both sides

you get 4x = 20

Divide each side by 4,

You get x = 5. Plug 5 back into x+y = 16

Subtract 5 from both sides, and you get y = 11

7 0

3 years ago

Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the

AlexFokin [52]

Answer:
The claim is correct

Explanation:
Assume the given triangle ABC
perimeter of triangle ABC = AB + BC + CA ............> I

Now, we have:
D is the midpoint of AB, this means that:
AD = DB = (1/2) AB ..........> 1
E is the midpoint of AC, this means that:
AE = EC = (1/2) AC ...........> 2
DE is the midsegment in triangle ABC, this means that:
DE = (1/2) BC ...........> 3
perimeter of triangle ADE = AD + DE + EA
Substitute in this equation with the corresponding lengths in 1,2 and 3:
perimeter of triangle ADE = (1/2) AB + (1/2) BC = (1/2) AC
perimeter of triangle ADE = (1/2)(AB+BC+AC) .........> II

From I and II, we can prove that:
perimeter of triangle ADE = (1/2) perimeter of triangle ABC
Which means that:
perimeter of midsegment triangle is half the perimeter of the original triangle.

Hope this helps :)

7 0

3 years ago