What is the domain and range for the function f(x)=0.3x +100

Answer:

62.

Step-by-step explanation:

A mode is a number that appears most frequently on a set of data. As you can see, there is a double of 62 while the rest is not repeated, so 62 is the mode.

Answer:

The correct option is (d). 2.15 meters.

Step-by-step explanation:

According to the given scenario, the approximate length of an alligator at the 67th percentile is as follows:

The length of an alligator is [tex]X \sim N(2,0.35)[/tex] .

Let us assume the [tex]P_{67}[/tex] be the 67th percentile

[tex]P(X <P67) = 0.67\\\\P(Z < \frac{P_{67 - 2 }}{0.35} ) = 0.67\\\\\emptyset (\frac{P_{67 - 2 }}{0.35} ) = 0.67\\\\ (\frac{P_{67 - 2 }}{0.35} ) = \emptyset^{-1 (0.67)\\\\[/tex]

[tex]\frac{P_{67 - 2 }}{0.35} = 0.44\\\\P_{67} = 2.154[/tex]

Hence, the correct option is (d). 2.15 meters

Answer:

x = 10

I used the Interior Angles of a Triangle Rule --The sum of all 3 interior angles in a triangle is always 180°.

(3x + 28) + (5x - 18) + 90° = 180°

Now i can get rid of the parentheses and combine like terms.

3x + 5x + 28 - 18 + 90 = 180

8x + 10 + 90 = 180

8x + 100 = 180

Then i subtract 100 from both sides to isolate x.

8x + 100 - 100 = 180 - 100

8x = 80

Then, i divide both sides by 8 to find x.

8x ÷ 8 = 80 ÷ 8

x = 10

Answer:

35.75

Step-by-step explanation:

Hope this helps. :)

Answer: $35.75

Step-by-step explanation:

2 adults $29.50 one child $6.95 In total they will be paying $35.75

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

→ Substitute in the values

200 = 0.5 × 5x × 5x

→ Simplify

200 = 12.5x²

→ Divide both sides by 12.5

16 = x²

→ Square root both sides

4 = x ∴ x = 4

Answer:

Step-by-step explanation:

Answer:

177100

Step-by-step explanation:

I just used the combinations formula.

c(n,r) = (n over r) =  n over (r(n-r)

Answer:

48 Games

Step-by-step explanation:

8/14 = 0.57142857142

84 x 0.57142857142 = 48 games

Hope that helps have a lovely night!

Answer:

[tex]\frac{1}{2}[/tex] of the garden will be radishes.

Step-by-step explanation:

Given a rectangular garden which grows cucumbers in [tex]\frac{2}{3}[/tex] of the garden.

[tex]\frac{3}{4}[/tex] of the cucumber section to grow radishes.

To find:

How much of the whole garden will be radishes?

Solution:

Let the total area of the garden = [tex]x[/tex] sq units

Then as per our assumption, total area to grow cucumbers:

[tex]\frac{2x}{3}[/tex] sq units

Cucumber area to grow radishes = [tex]\frac{3}{4}[/tex] of cucumber area

[tex]= \dfrac{3}{4}\times \dfrac{2x}{3}\\\Rightarrow \dfrac{x}{2}\ sq\ units[/tex]

Fraction of whole garden to grow radishes = Area to grow radishes divided by whole area of garden

[tex]\Rightarrow \dfrac{\frac{x}{2}}{x}\\\\\Rightarrow \bold{\dfrac{1}{2}}[/tex]

Therefore, [tex]\frac{1}{2}[/tex] of the garden will be radishes.

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

 = x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

       X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

Answer:

I am pretty sure the answer would be $107.31. Sorry if I'm wrong.

Step-by-step explanation:

First you take the total of the 3 DVD's (45.99) and you divide that by 3 (number of DVD's) to get 15.33 which is called the unit price. Then, you take your unit price and multiply that by how many items you are going to buy.

45.99 / 3 = 15.33

15.33 x 7 = 107.31

Answer:

there's a 1/13 chance it will be a three

Answer:  C = -14

Step-by-step explanation: 3 - 17 = -14

Answer:Any equation that when solved will be y=(number)

Step-by-step explanation:

Well you didn't add any "equations below" so I can't help too much bite you need to solve the equations they listed and the result of the equation must be y=(number), there cannot be any other variable in the equation when simplified if that makes sense. Sorry i can't help more.

Answer: The large container holds 48 units

Step-by-step explanation:

36/3=12=25%

25%*4=100%

12*4=48

Answer:

[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:

Step-by-step explanation:

Given the function

[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex]

Use the rational root theorem.

[tex]a_0=22,\:\quad a_n=1[/tex]

[tex]\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:11,\:22,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1[/tex]

[tex]\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:11,\:22}{1}[/tex]

[tex]-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2[/tex]

[tex]=\left(x+2\right)\frac{x^3-4x^2-x+22}{x+2}[/tex]

as

[tex]\frac{x^3-4x^2-x+22}{x+2}=x^2-6x+11[/tex]        ∵ [tex]x^3-4x^2-x+22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]

so the expression becomes

[tex]x^3\:-\:4x^2\:-\:x\:+\:22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]

Therefore,

[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:

Answer: 5/27 0r 0.185185

Step-by-step explanation:

Hopes this helps!

Answer:

h(1)= -90 h(n)=h(n-1) ⋅ 6

Step-by-step explanation:

Im smart :D

Answer:

1 and 1/2 cups

Step-by-step explanation:

4 oranges = 1 cup

6 oranges / 4 oranges in a cup = 1 1/2 cups

If 4 oranges make 1 cup of juice, then that means 1 orange makes 1/4 cup of juice.

So we know that each orange makes 1/4 cup of juice. We need to find how much juice 6 oranges will make. To do that, multiply 1/4 by 6.

1/4 times 6 equals 6/4 or 1 and 1/2.

6 oranges will make 1 and 1/2 cups of juice.

Answer:

4w^2+9w+10

Step-by-step explanation:

(3w^2+7w+10+w^2+2W

Combine like terms

4w^2+7w+10+2w

Combine like terms

Answer:

4w^2+9w+10

Step-by-step explanation:

Answer:

8:12

Step-by-step explanation:

Answer:

8/12=2/3

Step-by-step explanation:

simplest ratio of triangles to circles=8/12

=2/3

Answer:

OD

hope this help thank me if did

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:20

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

1/4 ÷ 2

~Turn 2 into a fraction

1/4 ÷ 2/1

~Copy dot flip

1/4 * 1/2

~Multiply

1/8

Best of Luck!

Answer:

1/8

Step-by-step explanation:

1/4 also = 2/8

2/8 divided by 2 = 1/8

Answer:

D. x=12/11 or x=32/11.

Answer:

D) x=12/11 or x=32/11.

Step-by-step explanation:

because i just know math

Answer:

a

Step-by-step explanation:

7*2=14

5*2= 10

it would be (a) because 14 is greater than 12

Answer:

Step-by-step explanation:

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