Given IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15 , the proportion of people with s above 130 is:

The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

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Answer:

B and E

Step-by-step explanation:

the graph (Justine) shows the line

y = 2x

the line for Velma is

y = 4x

now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).

a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).

as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.

so, as per her slope, Velma moves 4 meters in 1 minute.

and Justine moves 2 meters in 1 meter.

so, Justine is half as fast as Velma.

and therefore, Justine moves a shorter distance than Velma each minute.

Answer:

Step-by-step explanation:

B and E

Answer:

D - 56

Step-by-step explanation:

Multiply the height, 4 inches, the length, 7 inches, and the width, 2 inches, to get 56.

Answer:

160

Step-by-step explanation:

It's simple you have to do 480 divided by 3 and you will get 160. To check if you multiply 3x160 it would equal 480. So 160 times larger. Hope this helps!

Answer:

3(3x+7)

Step-by-step explanation:

Answer:

volume is 8 times larger and surface area is about 2.7 times larger

Step-by-step explanation:

a)24 in³ b) 76 in² c) volume is 8 times larger and surface area is about 2.7 times larger.

Answer:

See below for answer

Step-by-step explanation:

Set up the equation 5x+7x+9x=2100 and solve for x:

5x+7x+9x=2100

21x=2100

x=100

Now multiply the proportion by 100:

5:7:9 * 100 = 500:700:900

This means that Antony will get $500, Terry will get $700, and Jack will get $900.

Answer: \(\frac{355}{7}\)

Decimal Answer: 47.857143

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Answer

y=4x-8

Step-by-step explanation:

m = 4

y- 12 = 4(x-5)

simplify and keep it in point-slop form

y=4x-8

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Notice that the solid consists of an 8x4x4cm rectangular prism minus a 3x4x2cm rectangular prism (the gap shown in the image).

Therefore, the volume of the solid is

Answer:

The height??

Step-by-step explanation:

V /(lw) = h

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

Answer:

M<1 is greater than M<2

Step-by-step explanation:

The value of a straight line in terms of degree is 180. So if an adjacent angle is smaller on one side, that means the opposite side must be larger.

Example:

If the length of a hallway is always going to be 10 yards long, and a classroom situated at the end of the hallway is only 2 yards long, that means the rest of the hallway is 8 yards. Now, imagine there's another hallway next door. It is the same length, but the classroom is now 8 yards. That means the excess hallway in only 2 yards.

Answer:

He completes a lap running in 3 minutes, and walking in 4 minutes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the time needed to complete a lap running.

y is the time needed to complete a lap walking.

He requires 40 minutes to do 4 laps running and 7 laps walking.

This means that:

\(4x + 7y = 40\)

\(4x = 40 - 7y\)

He requires 18 minutes to do 2 laps running and 3 laps walking.

This means that

\(2x + 3y = 18\)

Multipluing everything by 2

\(4x + 6y = 36\)

Since \(4x = 40 - 7y\)

\(40 - 7y + 6y = 36\)

\(y = 4\)

And

\(4x = 40 - 7y\)

\(4x = 40 - 7*4\)

\(4x = 12\)

\(x = \frac{12}{4}\)

\(x = 3\)

He completes a lap running in 3 minutes, and walking in 4 minutes.

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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Answer:

18624 to nearest 1000= 19000

hope this helps <3

Answer:

19000

Step-by-step explanation:

624 is more than 499 therefore it is 19000

Answer:

the answer is A

Step-by-step explanation:

if you multiple 6 to 4 you get 24. if you multiple 24 to 6 you get 144. if you multiple 144 to 6 you get 864.

The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

The system of equations given is:

x = 4y

x = 8 + 2y

You can solve the system by setting the two expressions for x equal to each other:

4y = 8 + 2y

2y = 8

2y / 2 = 8 / 2

y = 4

Substitute y = 4 into the first equation to solve for x:

x = 4 x 4

= 16

So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.

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Answer:

y = -1/2x + 5/2

Step-by-step explanation:

the slope of the perpendicular line will be the opposite reciprocal of 2, which is -1/2

now substitute (7,-1) into 'x' and 'y' in slope-intercept equation of a line:

-1 = 7(-1/2) + b

-1 = -7/2 + b

b = 5/2

Answer:

i wish i knew

Step-by-step explanation:

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

To add or subtract 2 or more matrices, they have to be in the same dimensions

The dimensions of a matrix are

The number of rows m and the number of column n

It is m x n

So the matrix of dimensions 4 x 5 has m = 4 and n = 5

The dimensions 5 x 3 means m = 5 and n = 3

Number of rows not equal

Number of columns not equal

Then we can NOT add them

The answer is NO

Answer: 5182

To get the value of all 100 numbers you would need to multiply.

Step-by-step explanation:

51.82x100= 5182

The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

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Answer:

2.221992

Step-by-step explanation:

can i have the crown pls ૮ ♡ﻌ♡ა

Answer:

2.221

Step-by-step explanation:

Answer:

(x+5) and (x-7).

Step-by-step explanation:

The given equation is :

\(x^2-2x-35\)

We need to write it in factored form.

We know that,

7×5 = 35 and 7-5 = 2

So,

\(x^2-2x-35=x^2-7x+5x-35\\\\=x(x-7)+5(x-7)\\\\=(x+5)(x-7)\)

Hence, the required factors are (x+5) and (x-7).

Answer:

20.8

Step-by-step explanation:

because you have to plus 8.3 and 12.5

The two consecutive whole numbers that it lies between are 28 and 29.

The consecutive numbers are those number which follow each other continuously in the order from smallest to largest numbers.

Let the two consecutive numbers be x and x + 1

x + x + 1 = 57

Combine like terms;

2x + 1 = 57

Now Subtract 1 from both sides;

2x = 57- 1

2x = 56

Divide both sides by 2

x = 56/2

x = 28

Thus, x + 1 = 28 + 1 = 29

The two consecutive whole numbers that it lies between are 28 and 29.

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31