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3 years ago

PLEASE HELP Evaluate 6 + 10v – 8w when v=4 & w= -2

Mathematics

1 answer:

BabaBlast [244]3 years ago

5 0

Answer:

6 + 10v – 8w = 62

Step-by-step explanation:

Given the expression

6 + 10v – 8w

w=-2

substituting the values in the expression

6 + 10v – 8w = 6 + 10(4) - 8(-2)

= 6 + 40 + 16

= 62

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What is a flat plane postulate?

Karolina [17]

Three noncollinear points are contained in one and only one plane -- flat plane postulate. If two points are in a plane, then the line containing the points is in the same plane -- plane intersection postulate.

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2 years ago

In New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub. What is the probability t

SSSSS [86.1K]

Answer:

Probability that a house has a hot tub given that it has a pool is 55%.

Step-by-step explanation:

We are given that in New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub.

Let the probability that houses have a pool = P(A) = 0.38

Also, let B = event that houses have a hot tub

Probability that houses have both a pool and a hot tub = $P(A \bigcap B)$ = 0.21

Now, the conditional probability that a house has a hot tub given that it has a pool is given by = P(B / A)

<u>As we know that</u>; P(B / A) = $\frac{P(A \bigcap B)}{P(A) }$

= $\frac{0.21}{0.38}$

= 0.553 ≈ 55%

Hence, the probability that a house has a hot tub given that it has a pool is 55%.

8 0

2 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,