It costs $4.08 for a pack of 24 pencils.
Find the unit price in dollars per pencil.
If necessary, round your answer to the nearest cent.

Answer:

48.9 and 50.5 are rejected.

Step-by-step explanation:

Since the standard deviation shows the spread of the values of the voltages, we need to find the mean of the values and use the standard deviation to find the minimum and maximum voltage allowed.

So mean μ = Σx/N where x = individual values of voltage and N = number of values = 10

So, μ = Σx/N

= (49.3 + 50.1 + 48.9 + 49.2 + 49.7 + 50.5 + 49.9 + 49.3 + 49.8 + 50.2)/10

= 496.9/10

= 49.69

≅ 49.7 V

So, the acceptable values of voltage are in the range μ ± σ where σ = standard deviation = 0.50 V.

So, the acceptable values of voltage are in the range 49.7 ± 0.50 V

So, minimum value = 49.7 V - 0.50 V = 49.2 V

and maximum value = 49.7 V + 0.50 V = 50.2 V

So any voltage outside the range 49.2 V ≤ x ≤ 50.2 V is rejected.

There are two values outside this range which are 48.9 and 50.5. So these two values are rejected.

Probability = the number of ways of achieving success (getting the desired outcome).

P(E) = event with the desired outcome/total no. of events

P(E) = 7/60

Answer:

84 cubes

Step-by-step explanation:

Given,

The dimension of the rectangular prism are,

Hence, the volume of the prism,

Now, the volume of a cube = side³,

If side =  ft,

Then the volume of each cube,

Hence, the number of cubes that can be packet in the prism

Answer:

Step-by-step explanation:

Answer:

84 cubes

Step-by-step explanation:

Given,

The dimension of the rectangular prism are,

Hence, the volume of the prism,

Now, the volume of a cube = side³,

If side =  ft,

Then the volume of each cube,

Hence, the number of cubes that can be packet in the prism

Answer:

The number of pennies doubles each time, so the count grows exponentially. The number of pennies on Rows 5-8 will be much greater than on Rows 1-4.

Step-by-step explanation:

I believe its the first one, think of it like a mirror you would flip the shape which would do make x negative and y positive, sorry if im wrong

Answer:

113.35

Step-by-step explanation:

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y  ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

           x=6y-19

           x+19=6y dividing with 6

           1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

Answer:

(3)(15)

Step-by-step explanation:

75% of 60=60 x 0.75

      =(3)(15)

Answer:C

Step-by-step explanation:

C

Answer:

x=3

Step-by-step explanation:

3x3=9

9+2=11

Brainliest plz :)

Answer:

X = 3

Step-by-step explanation:

3x + 2 = 11

3x = 11 - 2

3x = 9

X = 9/3

X = 3

Answer:

a) The average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=1 to x=2 is 8

b) The average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=3 to x=4 is 32

Step-by-step explanation:

We are given function [tex]f(x)=4(2)^x[/tex]

We need to find Average rate of change

The formula used is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

Part a) The interval is: x=1 to x=2

We have a= 1 and b=2

Finding f(a) i.e f(1)

[tex]f(x)=4(2)^x\\Put \ x =1\\f(1)=4(2)^1\\f(1)=4(2)\\f(1)=8[/tex]

Now finding f(b) i.e f(2)

[tex]f(x)=4(2)^x\\Put \ x =2\\f(2)=4(2)^2\\f(2)=4(4)\\f(2)=16[/tex]

Now finding average rate of change.

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{16-8}{2-1} \\Average \ rate \ of \ change=\frac{8}{1}\\Average \ rate \ of \ change=8[/tex]

So, average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=1 to x=2 is 8

Part b)

The interval is: x=3 to x=4

We have a= 3 and b=24

Finding f(a) i.e f(3)

[tex]f(x)=4(2)^x\\Put \ x =3\\f(3)=4(2)^3\\f(3)=4(8)\\f(3)=32[/tex]

Now finding f(b) i.e f(4)

[tex]f(x)=4(2)^x\\Put \ x =4\\f(4)=4(2)^4\\f(4)=4(16)\\f(4)=64[/tex]

Now finding average rate of change.

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{64-32}{4-3} \\Average \ rate \ of \ change=\frac{32}{1}\\Average \ rate \ of \ change=32[/tex]

So, average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=3 to x=4 is 32

Since the interval is increasing, so does our average rate of change increasing as function is also increasing.

Answer:

Ok what are we supposed to do?

Step-by-step explanation:

Answer:

i think its the last option

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

im pretty sure that's the right answer!! let me know if I'm right

Answer:

$41.11

Step-by-step explanation:

28.75 + (28.75 x 0.35) + (28.75 x 0.08)

Please mark brainliest and have a nice day

Full answer is 41.1125

Answer:

170.6

Step-by-step explanation:

170.55

The tenths place is where the left 5 is.

1. Drop everything to its right.

170.5

2. Look at the first digit that was dropped. It is a 5. That means the last digit that remains goes up by 1 to 6.

Answer: 170.6

Answer:

170.6

Step-by-step explanation:

170.55 ≈ 170.6

When you are rounding numbers, you have to look at the digit after the digit you are rounding to. So if you are rounding to the nearest tenth, you need to look at the digit next to it which is the hundredth. If the hundredth is 1-4, then you round down. If the hundredth is 5-9, then you round up. Since the hundredth is 5, you round the 5 in the tenth place up to 6.

Answer:

(x-1)(x+1)(x+3)

Step-by-step explanation:

first you group the 2 parts of the equation

{(x^3) + (3x^3)} {-x - 3}

you can take out x squared from the first group and are left with x+3 and you can take out -1 from the second group also leaving you with x+3. Because these groups match it means that x+3 is a factor.

x^2(x+3) -1(x+3)

combine them

(x^2-1) (x+3)

x squared minus one can be simplified more to (x-1) and (x+1) so the final answer is (x-1)(x+1)(x+3)

Answer:

17.5-b=12.5 (b=5)

3/2+b=5 (b=7/2)

b+6=15 (b=9)

27 / b= 3 (b=9)

4 x b = 14 ( b=7/2)

Step-by-step explanation:

Answer: 135

Step-by-step explanation:

remember PEMDAS

3^3=27

(27*10)/2=270/2=135

Answer:

1131

Step-by-step explanation:

2900 x .39 = 1131

Answer:

24.9476

Step-by-step explanation:

55= 24 kilo. but since its 2.2 pounds its gonna be the answer i said (i think) Hope this helps

Answer:

24.94

Step-by-step explanation:

this is the answer

Answer:

x

Step-by-step explanation:

bc the coefficient of x is 1 and that's invisible so it's x

Answer:

839

Step-by-step explanation:

689+150=839

Hope this helped!

Answer:

Step-by-step explanation:

-5(y-15=3x) = -5y+75=-15x

add 15x to both sides and subtract 75 to both side

-5y+15x=-75

5y-2x=-3

13x=-78

and then both side divide by 13

x=-6

y-15=3(-6)

y-15=-18

Y= (-18) - 15 =  -3

y=-3

and the answer will be  (-6,-3)

hope that help you

Answer:

(-6, -3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y - 15 = 3x

-2x + 5y = -3

Step 2: Rewrite Systems

y - 15 = 3x

Step 3: Redefine Systems

y = 3x + 15

-2x + 5y = -3

Step 4: Solve for x

Substitution

Step 5: Solve for y

Step 6: Graph Systems

Check the solution set.

Answer:

b. $304.62

Step-by-step explanation:

Just took the test and got it right

The cost of the hardcoer dictionary today given the CPI is  $304.62.

The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.

Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62

To learn more about, consumer price index, please check: https://brainly.com/question/26382640

Answer:

The answer would be C. I believe it is C. The force believes it is C. So put C.

Answer: i need help on this one to

Step-by-step explanation:

Answer:

6 just trust me

Step-by-step explanation: