Explain why a sample of 30 dentists from a large city taken to estimate the median income of all residents of that large city is not representative

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Then in this case the simplified expression would be:

[tex]\frac{3^{10}}{3^4} =3^{10-4}=3^6[/tex]

Answer: quotient of powers

Step-by-step explanation:

Answer:

X=1550-10y

Step-by-step explanation:

X+10y=1550

Subtract 10y from each side

X+10y- 10y=1550-10y

X=1550-10y

Answer:

[tex]x = 1550 - 10y[/tex]

Step-by-step explanation:

[tex]x + 10y = 1550 \\ x + 10y - 10y = 1550 - 10y \\ x = 1550 - 10y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

10 cups

Step-by-step explanation:

He buys 1 pint of juice and 1/2 gallon of juice.

We have to convert pint and gallon to cups and then add them.

1 pint = 2 cups

1 gallon = 16 cups

1/2 gallon = 1/2 * 16 = 8 cups

Therefore,

2 + 8 = 10 cups

Fernando buys 10 cups of juice.

Answer:

25/24

Step-by-step explanation:

Let

Sally=S

May=M

Sally is 5/6 as tall

S = 5/6

May is 4/5 as tall

M = 4/5

S/M = 5/6/4/5

=5/6×5/4

=25/24

Answer:

If sinA = sinB, that means that ∠A = ∠B. Because this is a right triangle, ∠A = 45°.

Answer:

X=6

Y= - 1

Step-by-step explanation:

X-y =7

X+y =5 cross - y and y

_______

X+x =7 +5

2x= 12

X= 12/2

X= 6

Replace X in first equation:

X - y =7

6 - y =7

6 - 7 =y

y = - 1

Hope this helps you.. Good Luck!

Answer:

the answer is B

Step-by-step explanation:

actually 7/4 in mixed number is 1 3/4 but i think it's just the same as the B (optional)

Answer:

c

Step-by-step explanation:

Answer:

C. -0.6

Step-by-step explanation:

-2.1-x=-1.5

-x=0.6

x=-0.6

Answer:

2 and half

Step-by-step explanation:

Answer:

4y^3/2

Step-by-step explanation:

The 4 will remain 4 so we'll leave that alone. √y³ can be written as y^3/2. The way I like to remember how to write fractional exponents is that the index of the radical is the denominator of the fractional exponent and the exponent inside the radical is the numerator.

Answer: 8

Evaluating the function for x = -1

[tex]f(x)=x^2+7\\f(-1)= (-1)^2+7\\f(-1)=8[/tex]

Answer:

B

Step-by-step explanation:

The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid

Answer: B

Step-by-step explanation:

Answer:

y=(-1/3) x - 3

Step-by-step explanation:

A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3.  Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6).  Distribute the -1/3 and get y+5= -1/3 x+ 2.  Subtract 5 from both sides and get y=-1/3 x - 3

Answer:

No solutions

Step-by-step explanation:

[tex]y=-\dfrac{1}{2}x+4 \\\\x+2y=-8[/tex]

Substitute:

[tex]x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8[/tex]

This system has no solutions.

Hope this helps!

Answer:

Slope: 1/2

Step-by-step explanation:

Use rise over run.

Please mark BRAINLIEST! Thanks!

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

Answer:

Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2

36+4=c^2

distance √40 half of it is √10

So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one

Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).

Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.

First 2 answers are

(4-√10, -√10)

( -5-√20, 2-√20)

Answer:

a

Step-by-step explanation:

The equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4. Then the correct option is A.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the equation is 3. Then the equation of the line is given as,

y = 3x + c

The equation of the line is passing through the point (-3,-5), then the equation of line will be

  y = 3x + c

–5 = 3(–3) + c

–5 = –9 + c

  c = 9 – 5

  c = 4

Then the equation of the line will be

y = 3x + 4

Thus, the equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4.

Then the correct option is A.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ5

Answer:

The perfect squares it lies between are 64 and 81

The answer is 6√2

And it lies between the numbers 8 and 9

Hope this helps.

Answer:

the real answer is 64 -75   8-9

72  is a rational number

Step-by-step explanation:

Answer:

the correct answer is D

It is indeed false.

[tex]\sin^{-1}x[/tex] is a function that takes values of [tex]x[/tex] between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence [tex]\sin^{-1}x[/tex] is one-to-one.

It's true that [tex]\sin x=\frac45[/tex] has infinitely many solutions, but [tex]\sin x[/tex] itself is not one-to-one.

Answer:

False

Step-by-step explanation:

Answer:

Step-by-step explanation:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Answer:

I disagree. If each side of the equation is divided by 5, the result is x2 = 4. By the square root property of equality, x = -2 or x = 2. So x could be -2 instead of 2.

Step-by-step explanation:

Answer: 72 bottles

Given,

internal diameter=36cm

internal radius=36/2=18cm

volume of bowl=2/3 πr³

=2/3(22/7)(18³)

=2×22×18³/7×3

=12219.4cm³

volume of bottle=πR²h

=22/7(3²)(6)

=22×9×6/7

=169.7cm³

no. of bottles required=12219.4/169.7

=72.23=72 bottles approx

Answer:

D. [tex]p(x)=7x-20[/tex]

Step-by-step explanation:

[tex]r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20[/tex]

Simply subtract the two functions from each other and simplify to get the result.

Answer:

D. 22+(4×5)÷2

Step-by-step explanation:

Four 5 pound weight=(4×5)

Barbell weighed 22 pounds

={(4×5)+22}

Paulina lifted it with both arms

Both arms=2

{(4*5)+22}/2

It can be rewritten as

22+(4*5)÷2

Answer:

Look at the picture**

Step-by-step explanation:

X2

Answer:

Step-by-step explanation:

x2

Answer:

The anwer is 1/2

[tex]P=N_Y/Total=3/6=1/2[/tex]

Answer:

r = 57/19 = 3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D is the correct answer, (-y, x)