Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the advanced science class. Why is this sample likely to be biased?

To isolate m, we'll multiply both sides by 8.

We go from m/8 < 4 to m < 32

This describes any number smaller than 32. We aren't including 32 itself, so we have an open circle at 32 on the number line. The shading is to the left since everything to the left of 32 is smaller than 32.

Answer:

[tex](f \circ g)(-8) = 16[/tex]

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

[tex](f \circ g)(x) = f(g(x))[/tex]

Therefore;

[tex](f \circ g)(-8) = f(g(-8))[/tex]

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

[tex](f \circ g)(-8) = f(g(-8)) = 16[/tex]

Step-by-step explanation:

A.

B.

Answer:

17 meters

Step-by-step explanation:

Area = Length x Width

Width = 7

Area = 119

Solving for: Length

Equation:

119 = 7 * x

Solving for Length (x) :

119 = 7 * x

x = 119/7

x = 17

Units = meters

Answer: 17 meters

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

3. 120

4. 1331

Step-by-step explanation:

Answer:

x=19,0

y=0,-38/3

Step-by-step explanation:

Answer:

x = 4, y = -10

Step-by-step explanation:

-x - 6 - y = 0

-x - y = 6

2x - 3y = 38, -x - y =6

2x - 3y = 38

2x = 3y + 38

Divide both sides by 2

x = 1/2(3y+38)

Multiple 1/2 times 3y + 38

x= 3/2 y + 19

-(3/2y + 19) -y =6

-3/2y - 19 - y = 6

-5/2y -19 = 6

-5/2y = 25

y = -10

x = 3/2(-10) + y

x = -15 + 19

x = 4

x = 4, y = -10

Answer:

[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].

In [tex]5x^2-2x-8=0[/tex], we can assign the values:

Thus, we have:

[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5

Answer:

39.8 cm^2

Step-by-step explanation:

area of triangle

base = 5 cm

height = 12 cm

are of triangle = base *height / 2

=5*12/2

=60/2

30 cm^2

area of semi circle

diamtere = 5

radius = diameter/2

=5/2

=2.5

area of semi circle = πr^2/2

=3.14*2.5^2/2

=19.625/2

=9.8125 cm^2

are of the figure = are of triangle + area of semicircle

=30 + 9.8125 cm^2

=39.8125 cm^2

=39.8 cm^2   (after converting to the nearest tenth)

Answer:

Me I'm a big fan of Call of duty Warzone

Step-by-step explanation:

Thanks for asking

Have a good day :)

Answer:

sure my username is Ryuk im on ps4

Step-by-step explanation:

Answer:

about 50 persent

Step-by-step explanation:

Answer:

0.0428 miles per gallon

Step-by-step explanation:

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons

Given data

Distance driven = 280miles

Fuel used= 12 gallons

Hence the gas per mile is expressed as

Gas per mile= 12/280

Gas per mile= 0.0428 miles per gallon

Answer:

4 lbs

Step-by-step explanation:

1/4 x 4 =1

1/2 x 2= 1

3/8 + 3/8 + 5/8 + 5/8 =16/8

16/8 =2

1+1+2=4

Answer:

1)3:1:2:1:1

2) its theoretical probality because Jayden is  calculating the probability of it happening, not actually going out and experimenting.

hope that helps bby<3

3.1 x 22 1/2 = 69.75 rounded is 70

Answer:

by using ruler or measurement tape

Answer:

2.25 ft^2

Step-by-step explanation:

area of kite = half of the product of diagonals

A = (3 ft)(0.75 ft + 0.75 ft)/2

A = 2.25 ft^2

Answer:

Step-by-step explanation:

Answer:

79, I hoped that helped:)

Answer:

50 is the answer

Step-by-step explanation:

corresponding angles are equal

i hooe it helps u

Answer:

50

Step-by-step explanation:

I suggest you to watch the khan academy videos before doing the practice!

JoeLouis2

Answer:

A

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

9-10x=2x+1-8x

+10x +10x

9=2x+1+2x

9=4x+1

-1 -1

8=4x

÷4 ÷4

x=2

Answer:

A = 6π

Step-by-step explanation:

Expression for the area of a sector is given by,

A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

For θ = 240° and r = 3,

By substituting these values in the given expression,

A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]

   = [tex]\frac{240\times 9}{360}\pi[/tex]

   = 6π

Therefore, A = 6π is the answer.

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42

Answer:

Surface area = 162 m^2

Step-by-step explanation:

Below is the given values:

Length of cuboid = Height of cuboid

The volume of the cuboid = 108 m^3

The breadth of the cuboid = 12 m

Now use the volume formula:

Volume = area of one surface × height

Volume = (L x B) * H

(L x 12) * H = 108       (L = H)

L x 12 x L = 108

L^2 = 108/12

L = 3 m

Thus length and height is = 3m

Surface area = 2 (L x B + b x h + L x h)

Surface area = 2 (3 x 12 + 12 x 3 + 3x 3)

Surface area = 162 m^2

Answer:

When you round pi, which is equal to 3.14, to the nearest whole number, the answer is 3.

Step-by-step explanation:

π=3.1415926

π=3.14

nearest whole number=3

Answer:

y = -2

Step-by-step explanation:

The line x = -3 is a vertical one; the slope of a line perpendicular to x = -3 is zero (0).  Recall that the slope of a vertical line is undefined and that of a line perpendicular to a vertical line is 0.

Then, to write the equation of the perpendicular line, we borrow the '-2' from (-9, -2) and write y = -2.  This line does indeed pass through (-9, -2) and every other point whose y-component is -2.

Answer:

B. -6 < y < ∞

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we have an asymptote at y = -6 and infinite positive y-values. Our range is therefore restricted to -6 to infinity. Both y = -6 and ∞ are excluded:

-6 < y < ∞

Answer:

3^12

Step-by-step explanation:

(3^2)^6

6 * 2 = 12

3^12

Calculator check: (3^2)^6 = 531441

3^12 = 531441

Answer:

3^12

Step-by-step explanation:

We know that a^ b^c = a^(b*c)

3^2^6 = 3^(2*6) = 3^12