What is the highest common factor of 12 and 49?

Answers

Answer 1

Answer: $12|2\n.\ 6|2\n.\ 3|3\n.\ 1|\n==========\n49|7\n.\ 7|7\n.\ 1|\n==========\n\nHCF(12;\ 49)=1$

Answer 2

Answer: Factors of 12 . . . . . 1, 2, 3, 4, 6, 12

Factors of 49 . . . . . 1, 7, 49

Common factors . . . 1

Highest common factor . . . 1

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Please Help!?!4. A data set has a variance of 42.

What is the standard deviation of the data set?

Round to the nearest tenth.

Question 5.5. What is the standard deviation of the data set? Round your answer to the nearest tenth.

6 4 9 5 5 4 5

(Points : 1)
1.6
1.7
5.4
5.0

Answers

Answer:

Step-by-step explanation:

(A) It is given that a data set has a variance of 42, then the standard deviation is given as:

$SD=√(variance)$

⇒ $SD=√(42)$

⇒ $SD=6.48$

Thus, the standard deviation of the given data set is 6.48.

(B) The given data set is:

6 4 9 5 5 4 5

Mean of the given data set is:

$Mean=(6+4+9+5+5+4+5)/(7)$

$Mean=(38)/(7)$

$Mean=5.42$

Data set $(x-\overline{x})^2$

6 0.33

4 2.01

9 12.81

5 0.17

4 2.01

5 0.17

The variance is given as:

$V=(0.33+2.01+12.81+0.17+0.17+2.01+0.17)/(7)$

$V=2.52$

Thus, the standard deviation is given as:

$SD=√(variance)$

⇒ $SD=√(2.52)$

⇒ $SD=1.6$

Hence, option A is correct.

Q4 . Standard deviation is square root of variance so, the standard deviation of the given data set is , $\sqrt { 42 }$ which is equal to 6.48074069841

Q5.5

To find the standard variation first find the mean of the set.

6+4+9+5+5+4+5 = 38

$\frac { 38 }{ 7 } =5.42$

Then we will subtract the mean from each number in the set, then will square that. Then we will add those all.

Solution is in the pic. Sorry if this was not explanatory enough.

Ask me if you wanna know more.

How many solutions exists for the given equation?

Answers

Answer:

One solution

Step-by-step explanation:

1/2(x+12)=4x-1

1/2x+6=4x-1

x=2

Write an equation of the line in standard form with integer coefficients y=-3/5x+3

Answers

Answer:

Step-by-step explanation:

Let's multiply all the terms in 5 :

5y=-3x+15

The midpoint of the sides of triangle ABC are labeled D, E, and F. If the perimeter of triangle DEF is 24 find the perimeter of triangle ABC.A.48
B.72
C.96
D.120

Answers

Ok well the only thing that makes since to me is that the triangle is a Equilateral Triangle, so all the sides are going to be the same. And if the perimeter is 24, then you divide that by 3, and you get 8. And if DEF is the midpoints of triangle ABC, then DEF is an upside down triangle in the triangle ABC. So all the sides of ABC are double whatever DEFs are. And DEFs were 8, so 8 times 2 is 16. And to get the perimeter you add that together 3 times and you get 48. So i'm not sure exactly how you would do this, but i'm pretty sure this is the way. If not i'm sorry i couldn't help. :(

Linking the midpoints of each side of a triangle cuts it into four smaller, mathematically similar versions of itself, the central of which is reflected vertically - ALWAYS. Therefore, the area scale factor of the new, smaller triangle to the original larger triangle, is 4. $√(4)$ would give the linear scale factor (the nth route of the area scale factor, where n is the dimension of operation), which is 2.
The original triangle must have a perimeter twice as long as the smaller triangle.
A - 48 $√(4)$

What do you call it when somebody spends 20 years in the 24th row of a theater