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3 years ago

If the area of a circle is 16π meters, what is the diameter? *

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Answer:

When the diameter is given you just take half of it so simply put what is half of 16pi and it will give your answer. :)

Step-by-step explanation:

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What is the slope and what is the y-intercept

Aleks [24]

Answer:

(1,2) and slope = 0

Step-by-step explanation:

Look where the line crosses the y and because the line is parallel to the x the slope is equal to zero

4 0

3 years ago

Evaluate the following expressions giving the functions g(x)= -4x+3 <br> g(10) is the expression

Artemon [7]

Answer:

g(10) = -37

Step-by-step explanation:

g(x)= -4x+3

g(1) means evaluate when x=10

g(10) = -4*10 +3

g(10) = -40+3

g(10) = -37

8 0

3 years ago

Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t

NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

the sample size is given as 100
the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

$P(| \bar{X}-\mu|$

Here converting the values in z form gives

$P(-2$

Substituting values

$P(-2$

From z table

$P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\$

So the probability that the sample mean will lie within 2 values of μ is 0.9544.

5 0

3 years ago

If 25% of a number is 100, what is the number?

natulia [17]

Answer:

400

Step-by-step explanation:

25% is a fourth 100 ×4 is 400

3 0

3 years ago

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

$y=-2x+56$

7 0

2 years ago

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