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3 years ago

11

What is the greatest common factor (GCF) of 15 and 64? 1. (3) 2.(4)3.(8)4.(1)

2 answers:

omeli [17]3 years ago

4 0

It’s 1.

Explanation: you need to find the greatest factor that works out for them both. You can cross out 4 and 8 because no other whole number can be multiplied to get 15, and it’s not 3 since you can’t multiply it with a whole number to get 64. 1 works for them both.

miskamm [114]3 years ago

4 0

Answer: 1 or D

Step-by-step explanation:

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Find the standard deviation for the group of data items 4, 4, 4, 4, 6, 8 The standard deviation is (Simplify your answer. Round

marysya [2.9K]

Answer: 1.53

Step-by-step explanation:

The given data : 4, 4, 4, 4, 6, 8

Number of data values : n= 6

The mean value of the given data will be :-

$\overline{x}=\dfrac{\sum_{i=1}^{6}x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{30}{6}=5$

The formula to find standard deviation:_

$\sqrt{\dfrac{\sum(x-\overline{x})^2}{n}]$

Now,

$\sum_{i=1}^{6}(x_i-\overline{x})^2=(-1)^2+(-1)^2+(-1)^2+(-1)^2+(1)^2+(3)^2\\\\=1+1+1+1+1+9=14$

The standard deviation will be :-

$\sigma=\sqrt{\dfrac{14}{6}}\approx1.53$

5 0

3 years ago

What is this graphs slope?

Ksivusya [100]

Answer:

slope = -4

Step-by-step explanation:

Given the following points on the graph: (-1, 4) (1, -4)

Let (x1, y1) = (-1, 4)

(x2, y2) = (1, -4)

Use the following slope formula:

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{-4 - 4}{1 - (-1)} = \frac{-8}{1 + 1} = \frac{-8}{2} = -4$

Therefore, the slope of the line is -4

3 0

2 years ago

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

3 years ago

Read 2 more answers

Evaluate each expression |18|

igor_vitrenko [27]

That equals 18 since the distance from zero is 18.

Hope i'm the brainliest!

4 0

3 years ago

Mina tosses two number cubes labeled 1 to 6. What is the probability that the sum is equal to five?

coldgirl [10]

(1,4)

(4,1)

(2,3)

(3,2)

so there are 4 different combinations that equal 5

6 x 6 = 36 total possible outcomes of the dice

so they have a 4/36 reduces to 1/9 probability of equaling 5

7 0

3 years ago