28
Select the correct answer.
The drama club has records of the length of the annual school plays for the last 10 years.
The length of the annual school play was 80 minutes initially. They then decided to increase the length of the play by 5 minutes every year for
the next 4 years. For the next 3 years, the length of the annual school play was constant. For the last 3 years, the length of the annual school play
was reduced by 10 minutes every year.
Which graph models the piecewise function for the given situation?

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

[tex]Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15[/tex]

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Answer:

30cm^2

Step-by-step explanation:

Answer:

the answer for this question is 24

m∠1+m∠2+m∠3=180°

Step-by-step explanation:

Answer:

A. Relation

B. Relation

C. Function

D. Function

E. Relation

Answer:

download mathspace tbh that will help you more then anyone on here can

Answer:

1: 10 seconds   2: 4 seconds  3: 12 seconds

Step-by-step explanation:

35.0/3.5= 10

4.80/1.20= 4

60.0/5.00= 12

Answer:

I= P+ I= 7201x6x2/100 = 84,252/100 = $842.52

Step-by-step explanation:

234'00

Answer:

Selecting whether each variable is discrete or continuous:

Discrete Variables:

The number of college football games ever attended

The number of sons or daughters

The number of countries ever visited

The number of pets currently living in the household

Continuous variables:

Pounds of chocolate consumed in the past year

Shoe size

Height in inches

Step-by-step explanation:

The researcher can distinguish a discrete variable from a continuous variable by checking if the value of the variable can be counted or measured.  The researcher can count the value of a discrete variable, and she can measure the value of a continuous variable.  In other words, a discrete variable represents countable objects and a continuous variable represents measurable amounts.

Using variable concepts, we have that the discrete variables are:

The continuous variables are:

The variables that are countable, that is, discrete, are:

The ones that can assume decimal values, hence being continuous are:

You can learn more about continuous and discrete variables at brainly.com/question/16978770

Answer:

Kelsie's debt is less than 20$

Step-by-step explanation:

Answer:9.07 > 9.008

Step-by-step explanation:

Because I know bic

Answer:

[tex]\displaystyle m\angle AED=32.5^\circ[/tex]

Step-by-step explanation:

Angles in a Circle

An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.

Segments AE and DE are secants of the given circle. They form an exterior angle called AED.

The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.

Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:

[tex]\displaystyle m\angle AED=\frac{AD-BC}{2}[/tex]

[tex]\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}[/tex]

[tex]\displaystyle m\angle AED=32.5^\circ[/tex]

Answer:

5.5n-0.5p-4

Step-by-step explanation:

Make me the brainliest please!!

Answer:

1.75

Step-by-step explanation:

When you get a question like "How many times does 4 go into 7?", just think of it as how many times you can fit 4 into 7.

Answer:

33%

Step-by-step explanation:

60-45=15

15/45=0.33

0.33x100=33%

Answer:

120

Step-by-step explanation:

It's NOT 100.

similar shapes have the same angles

so angle "D" is equal to angle "G"

Answer:

6ix9ine

Step-by-step explanation:

Answer:

28/7

Step-by-step explanation:

Answer:

30 sec.

Step-by-step explanation:

Hello!

[tex]\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}[/tex]

We can go through each equation to solve:

1.

x + 3 = 4(x - 1) + 2

Distribute the coefficient outside of the parenthesis:

x + 3 = 4(x) + 4(-1) + 2

Simplify:

x + 3 = 4x - 4 + 2

x + 3 = 4x - 2

Subtract x from both sides:

3 = 3x - 2

Add 2 to both sides:

5 = 3x

Divide both sides by 3:

5/3 = x. This is not the answer.

2.

2x - 8 = 7 - 3x

Add 3x to both sides:

5x - 8 = 7

Add 8 to both sides:

5x = 15

Divide both sides by 5:

5x/5 = 15/5

x = 3. This is an answer.

3.

3(x + 2) = 14 - x

Distribute:

3(x) + 3(2) = 14 - x

3x + 6 = 14 - x

Add x to both sides:

4x + 6 = 14

Subtract 6 from both sides:

4x = 8

Divide both sides by 4:

4x/4 = 8/4

x = 2. This is not an answer.

4.

4(x - 1) = x + 5

Distribute:

4x - 4 = x + 5

Subtract x from both sides:

3x - 4 = 5

Add 4 to both sides:

3x = 9

Divide both sides by 3:

3x/3 = 9/3

x = 3. This is an answer.

5.

5 - 2(x + 1) = x

Distribute:

5 - 2x - 2 = x

Simplify:

3 - 2x = x

Add 2x to both sides:

3 = 3x

Divide both sides by 3:

3/3 = 3x/3

x = 1. This is not an answer.

6.

6(x - 4) = 2x

Distribute:

6x - 24 = 2x

Subtract 6x from both sides:

-24 = -4x

Divide both sides by -4:

-24/(-4) = -4x/(-4)

x = 6. This is not an answer.

Answer:

2x - 8 = 7 - 3x

4(x -1) = x + 5

Step-by-step explanation:

2) 2x - 8 = 7 - 3x

   2x + 3x - 8 = 7

       5x -  8 = 7

              5x = 7 + 8

              5x = 15

                 x = 15/5

                x = 3

4) 4(x -1) = x + 5

   4x - 4 = x + 5

4x - 4 - x = 5

     3x - 4 = 5

           3x = 5 + 4

           3x = 9

             x = 9/3

            x = 3

Answer:

The answer is 5.26

Step-by-step explanation:

First divide 15 and 285(15 ➗ 285) then multiply 100 to the quotient, then round your final answer to the nearest tenth.

Answer:

512 cube inches

Step-by-step explanation:

The radius of volleyballs is 4 inches, thus;

diameter of the balls = 2 x radius

                                   = 2 x 4

                                   = 8

The diameter of each ball is 8 inches.

Since the box has the shape of a cube, the smallest box that can hold a volleyball would have its dimensions equal to the diameter of the balls.

So that for the cube,

length = width = height = 8 inches

volume of a cube = [tex]l^{3}[/tex]

volume of the smallest box = [tex]8^{3}[/tex]

                           = 512 cube inches

The volume of the smallest box that can hold a volleyball is 512 cube inches.

Answer:

px^2= (3)4= 12^2= 144

Step-by-step explanation:

Answer:

The inverse of this function is:

[tex]f(x) = \sqrt[3]{x + 4} - 2[/tex]

Step-by-step explanation:

To find the inverse function, we can simply swap x and f(x) and solve for the latter:

[tex]x = (f(x) + 2)^3 - 4\\x + 4 = (f(x) + 2)^3\\\sqrt[3]{x + 4} = f(x) + 2\\f(x) = \sqrt[3]{x + 4} - 2[/tex]

Answer:

area: 9

perimeter: 12

Step-by-step explanation:

Answer:

i gotchu

u=4a (equation for perimiter)

u=12

perimeter is 12

a=a2 (equation for area)

a=9

area is 9

:)

Answer:

The average number of machine cycles per instruction for this microprocessor is 5.8.

Step-by-step explanation:

To find the average number of machine cycles per instruction for this microprocessor, we multiply each number of cycles for it's relative frequency.

We have that:

25% require 2 cycles.

20% require 3 cycles.

17.5% require 4 cycles.

12.5% require 8 cycles.

25% require 12 cycles.

So the average number is:

[tex]M = 0.25*2 + 0.2*3 + 0.175*4 + 0.125*8 + 0.25*12 = 5.8[/tex]

Answer:

x = -3

Step-by-step explanation:

2(4x + 6) = 8x + 12

3(x - 1) = 3x -3

8x + 12 = 3x - 3

5x = -15

x = -3

Answer:

x=-3

Step-by-step explanation:

2(4x+6)=3(x-1)

8x+12=3(x-1)

8x-3x+12= -3

8x-3x=-3-12

5x=-3-12

5x=-15

x=-3

Answer:

100.3

Step-by-step explanation:

Area of parallelogram = 10 * 5 = 50 (As to find the area of a parallelogram, you would need to multiply the height and base: just like a rectangle)

We now have to work out the area of the two semi-circles. Both semi-circles have the same diameter which is 8, which means the semi circles are of the same size. Therefore we would just need to work out the area of 1 semi-circle and apply it to the second semi-circle (if that makes sense).

Area of semi-circle = 1/2(πr2 ) --> The '2' is supposed to be squared of r

radius = 8/2 = 4

1/2 (π*4*4)

Put that in calculator and should equal = 8π (Area of 1 semi-circle)

Area of 2 semi-circles  = 8π + 8π = 16π

Total Area = (Area of parallelogram) + (Area of 2 semi-circles)

TA = 50 + 16π

Total Area (Nearest tenths place): 100.3

Hope this helps :)

Answer:

Step-by-step explanation:

The figure comprises of two semicircles and a parallelogram.

The two semicircles add to one full circle.

Area of circle:

Area of parallelogram:

Total area is the sum of the two: