Every natural number is a whole number true or false

Please help I will mark brainlist if correct

love history [14]

--------------------------------------------------------------------------
Equation
--------------------------------------------------------------------------
$y - 9 = - \dfrac{1}{2} (x + 2)$

--------------------------------------------------------------------------
Rearrange the equation
--------------------------------------------------------------------------
$y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1 + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8$

--------------------------------------------------------------------------
slope of the perpendicular line
--------------------------------------------------------------------------
slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

---------------------------------------------------------------------------
Substitute slope into equation y = mx + c
---------------------------------------------------------------------------
y = 2x + c

---------------------------------------------------------------------------
Find y-intercept
---------------------------------------------------------------------------
y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------
Substitute y-intercept into the equation y = 2x + c
-----------------------------------------------------------------------------
y = 2x + 4

----------------------------------------------------------------------------
Answer: y = 2x + 4
-----------------------------------------------------------------------------

3 0

3 years ago

A customer visiting the suit department of a certain store will purchase a suit with probability 0.22, a shirt with probability

Pachacha [2.7K]

Answer:

a. The probability that a customer purchase none of these items is 0.49

b. The probability that a customer purchase exactly 1 of these items would be of 0.28

Step-by-step explanation:

a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:

let A represents suit

B represents shirt

C represents tie

P(A) = 0.22

P(B) = 0.30

P(C) = 0.28

P(A∩B) = 0.11

P(C∩B) = 0.10

P(A∩C) = 0.14

P(A∩B∩C) = 0.06

Therefore, the probability that a customer purchase none of these items we would have to calculate the following:

1 - P(A∪B∪C)

P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)

= 0.22+0.28+0.30-0.11-0.10-0.14+0.06

= 0.51

Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49

The probability that a customer purchase none of these items is 0.49

b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:

= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2 P(A ∩ B ∩ C))

=0.51 -0.23 = 0.28

The probability that a customer purchase exactly 1 of these items would be of 0.28

6 0

2 years ago

Nter the equation of the line in slope-intercept form.<br><br> Slope is 6, and (1, 3)

kupik [55]

Answer:

The equation in the slope-intercept form will be:

$y=6x-3$

Step-by-step explanation:

Given

slope = m = 6

point = (1, 3)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 6 and point = (1, 3)

$y-3=6\left(x-1\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y-3=6\left(x-1\right)$

add 3 to both sides

$y-3+3=6\left(x-1\right)+3$

$y=6x-3$

Therefore, the equation in the slope-intercept form will be:

$y=6x-3$

6 0

2 years ago

What is 7 4/10 -1 1/3

Goryan [66]

The answer is 6 and 1/15.

7 0

2 years ago

Read 2 more answers

I don’t really get this question so if anyone knows it please help

Mars2501 [29]

Answer:

$116.82\:\text{square inches}$

Step-by-step explanation:

The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is $10^2=100\:\mathrm{in^2}$ .

The area of a triangle is given by $\frac{1}{2}\cdot b\cdot h$ . Since the problem states that the overlapping squares are congruent, both legs of the triangle will be $2.9$ and intersect at a $90^{\circ}$ angle.

Thus, the sum of all four triangles is $\frac{1}{2}\cdot 2.9\cdot 2.9\cdot 4=16.82\:\mathrm{in^2}$ .

Therefore, the area of the window is:

$100+16.82=\boxed{116.82\:\mathrm{in^2}}$

3 0

2 years ago

Every natural number is a whole number true or false​

Every natural number is a whole number true or false