1/3 to the power of negative 2

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:

[tex]\frac{384}{432}=\boxed{\frac{8}{9}}[/tex]

Answer:

[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]

Step-by-step explanation:

Given

[tex]9c^3 - 12c^2 - 18c - 24[/tex]

Required

Factor

Group into 2

[tex][9c^3 - 12c^2] - [18c + 24][/tex]

Factorize each group

[tex]3c^2[3c - 4] - 6[3c - 4][/tex]

Factor out 3c - 4

[tex][3c^2 - 6][3c - 4][/tex]

Hence:

[tex]9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4][/tex]

Answer:

The final answer is 78 inches, though I would recommend for you to read through the steps of how this is achieved.

Step-by-step explanation:

To start, to grasp the corresponding sides deal, think of it as saying Quad 1234 is equal to Quad ABCD. Now, it is fairly easy to make up the sides between the two shapes. With this, the following is true:

Side 12 ≅ Side AB

Side 23 ≅ Side BC

Side 34 ≅ Side CD

With the end, it loops back around to meet back at the first edge of the shape again, if you're looking for a side length.

Side 41 ≅ Side DA

Now, with the real stuff. We're greeted with the Quads DEFG and KLMN, and asked to find FG. Looking at it, FG would be using the 3rd and 4th letters of the set of quad edges. Comparing this to the other quad shape, the 3rd and 4th letters are MN. Therefore, lets use this.

Next, set these equal to each other. FG is 5y+3 and MN is 7y-27

5y+3 = 7y-27

5y = 7y-30

-2y = -30

2y = 30

y = 15

y equals 15.

Lastly, plug this into the equation for FG to get the final answer.

5(15)+3

75+3

78 inches

Answer:

B) At alpha = 0.01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.

Step-by-step explanation:

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 25.

We are using the t-distribution, with test statistic t = 1.25 and 43 - 1 = 42 degrees of freedom. This probability is a right-tailed test.

With the help of a calculator, this p-value is of 0.1091.

Since the p-value of the test is 0.1091 > 0.01, at [tex]\alpha = 0.01[/tex] there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph, and the correct answer is given by option B.

Answer:

Step-by-step explanation:

Answer:

that is you ni report kits

Answer:

Your answer is 60 kids brought there lunch to school on Thursday.

Step-by-step explanation:

1200*.05 = 60

Answer:

[tex]\angle BPC=100^{\circ}[/tex]

Step-by-step explanation:

Assuming P is the center of the circle:

The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]

Answer:

A  perpendicular

B bisect each other  

D. congruent

Step-by-step explanation:

Given

Attached quadrilateral

Required

Relationship between EG and DF

First, we have that: DEFG is a square

EG and DF are diagonals

Using the property of diagonals of a square, we have:

EG and DF to be perpendicular

EG and DF to be congruent

EG and DF to be bisect each other

Answer:

blue one (c), not independent because P(A|B) ≠ P(A)

Step-by-step explanation:

Two events are independent of each other if you can mulitply them to get their intersection

To find the conditonal probability of two independent events you can use the following idea/formula

P(A|B)= (P(A)*P(B))/P(B) which simplifies to P(A) (so the probability of A given B when A and B are independent of each other is just the probability of A)

Now with the numbers we're given let's find P(A|B)

.24/.9= .26666666666667

Because this is not equal to .3 (or P(A)) the answer must be the blue one

Answer:

s-ln/n = a

Step-by-step explanation:

Answer:

A=(s-nl)/n

Step-by-step explanation:

s=n(a+l)

s=na+nl

s-nl=na

s-nl/n=a

Hope this helps u!!

Answer:

Step-by-step explanation:

Hi there!

[tex]200\text{in}^3[/tex]

The formula for volume of a rectangular prism is:

[tex]V = LWH\\\\L-\text{Length}\\W-\text{Width}\\H-\text{Height}[/tex]

Our given measurements are:

[tex]\text{The height of 8 inches.}\\\\\text{The length of 5 inches.}\\\\\text{The width of 5 inches.}[/tex]

Plugging in the values into the formula...

[tex]V = 5 * 5 * 8\\\\\text{Multiply from left to right.}\\\\\rightarrow V=25*8\\\\\rightarrow \boxed{V=200}[/tex]

[tex]\text{The volume of the prism given should be }\boxed{\text{200 cubic inches.}}[/tex]

Hope this helps you. I apologize if it’s incorrect.  

Answer: 45 DVDs

Step-by-step explanation:

Assume that the number of DVDs owned by Manuel is x.

In comparison to Manuel therefore, the DVDs owned by Hakeem can be expressed as:

= 3/5 * x - 7

We know that Hakeem owns 20 DVDs so we can use this number to solve for x:

20 = 3/5x - 7

3/5x = 20 + 7

3/5x = 27

x = 27 ÷ 3/5

x = 27 * 5/3

x = 45 DVDs

Answer:

see below

Step-by-step explanation:  5 20 15 39

coin 2 possibilities    1/2

three coins    (1/2) × (1/2) × (1/2)    =    _________     or (1/2)³

Answer:

2

Step-by-step explanation:

Hello !

In order to add fractions...

*You must have a common denominator (remember the top is the numerator and the bottom is the denominator)

So...

1 1/2 + 1/2

Although both have a 2 at the bottom, you can't add these because 1 1/2 is a mixed number and 1/2 isn't. To add them, you have to turn 1 1/2 into an improper fraction. You do this by multiplying the denominator by the whole number and then adding that to the numerator.

So 1 1/2 is the same thing as 3/2.

Now, you can add straight across.

3/2 + 1/2 = 4/2

4/2 = 2

Your answer is : 2

I hope this helps, please let me know if you're confused or have any more questions and I'll be happy to help.

Have a wonderful night :)

Answer:

E

Step-by-step explanation:

the chair can go in any time AFTER the bed, so let’s think bed first

then he wants to move the heavy stuff, then awkward.

so the dresser and desk are heavy, and the couch is awkward.

but the chair can go in at any time so E would make sense

Answer: Missing detail ( weight of resistance = 6.69 Kg )

answer :

Step-by-step explanation:

Applying the equation for computing the power output

= Kg of resistance * number of revolutions * 11.765  ------- ( 1 )

Calculate the power output for each 5 second period

weight ( Kg of resistance ) = 6.69 Kg

Equation 1 becomes :

6.69 * number of revolutions * 11.765  ---- ( 2 )

Next :Apply equation (2) to every 5 seconds interval as represented in the table

For Time 0 - 5  

Number of revolutions ( rpm ) = 10

power output = 6.69 * 10 * 11.765  = 787.0785 watts

cumulative rpm = 10 + 0

Cumulative Power = power output + previous power output = 787. 0785watt

For Time  ( 5 - 10 )

Number of revolutions ( rpm ) = 7

Power output = 6.69 * 7 * 11.765 = 550.95 watts

Cumulative rpm = rpm + previous rpm = 7 + 10 = 17

Cumulative power = power output + previous power output

                               = 550.95 + 787.0785  = 1338.0285 watts

Power output for ( 10 - 15 ) = 6.69 * 9 * 11.765  = 708.37 watts

Power output for ( 15 - 20 ) = 6.69 * 7 * 11.765  = 550.95 watts

Power output for ( 20 - 25 ) = 6.69 * 7 * 11.765 = 550.95 watts

Power output for ( 25 - 30 ) = 6.69 * 6 * 11.765 = 472.25 watts

Answer:

0

Step-by-step explanation:

The slope of a horizontal line will always be 0. In our given line, y will equal 3 at any point on the line. This means the line is horizontal, so the slope = 0.

I hope this helps ^^ Good luck ·ω·

Answer:

0

Step-by-step explanation:

Since, You have only given us that y=3.

The slope will be 0

and the y-intercept will be: (0,3)

x | y

0 | 3

1 | 3

Answer: b

Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27

Answer:

Its B

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

going from 3 to -9 is taking away 12, so -12.

going from -4 to 2 is adding 6, so 6.

-12/6 simplifies to -2/1, or -2

d

.........................

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

Given:

Measure of arc CG is 125 degrees.

The measure of angle CDG is 85 degrees.

To find:

The measure of arc EF.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]

Let x degrees be the measure of arc EF.

Substituting the given values, we get

[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]

[tex]2\times 85^\circ=125^\circ+x[/tex]

[tex]170^\circ -125^\circ=x[/tex]

[tex]45^\circ=x[/tex]

Therefore, the measure of arc EF is [tex]45^\circ[/tex].

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

[tex]A=x^2[/tex] ....(1)

Where

x is the side of a square

[tex]\dfrac{dA}{dt}=12\ cm^2/s[/tex]

Differentiating equation (1) wrt t.

[tex]\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}[/tex]

When A = 81cm²​, the side of the square, x = 9 cm

Put all the values,

[tex]12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s[/tex]

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

Answer:

... c

Step-by-step explanation:

Answer:

translated up 5 units and stretch by the factor 4