What is the volume of this cube?
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Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]

Given:

The radius of the circle X is XY.

Coordinates of X are (0,3) and coordinates of Y are (-3,-1).

To find:

The area of the circle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).

[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]

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

[tex]XY=\sqrt{9+16}[/tex]

[tex]XY=\sqrt{25}[/tex]

[tex]XY=5[/tex]

The radius of the circle is 5 units.

The area of the circle is:

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get

[tex]A=(3.14)(5)^2[/tex]

[tex]A=(3.14)(25)[/tex]

[tex]A=78.5[/tex]

Therefore, the area of the circle is 78.5 square units.

Answer:

3x - (15 x 3) = 90

or

3x - 45 = 90

Explanation:

there are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45

Therefore the first part is 3x - 45

We also know that in the end we have 90 left.

So our final equation is:

3x - 45 = 90

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as a table or chart that shows the required data is not given.

To answer this, I will make use of the following frequency table

[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]

From the above table.

[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]

[tex]3\ miles \to 5\ students[/tex]

So:

[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]

[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]

From the above table.

[tex]1\ miles \to 10\ students[/tex]

[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]

So:

[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]

[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]

The difference (d) is then calculated by subtracting the number of students in both categories

[tex]d = 15\ students - 10\ students[/tex]

[tex]d = 5\ students[/tex]

Answer:

$35.13

Step-by-step explanation:

monthly payment = (cost - down payment) / number of month

(975 - 132) / 24 =

843/24=  35.13

Answer:

-0.9

Step-by-step explanation:

-0.9 × 100 = -90

answer : -90 = -100+x → x = 10

explanation : to solve for x, you are simplifying both sides of the equation, then isolating the variable.

step 1 : move the variable to the left-hand side and change its sign.

ex : -90-x = -100

step 2 : move the constant to the right-hand side and change its sign.

ex : -x = -100+90

step 3 : calculate the sum

ex : -x = -10

step 4 : change the signs on both sides of the equation

ex : x = 10

solution : x=10

hope this helps !

- audrey ♡

Answer:

1. One solution

2. Infinitely many solutions

3. No solution.

Answer:

C

Step-by-step explanation:

First, divide £4.20 by 3 to get the price for 1 packet.

4.20/3 = 1.4

5 packets is 5 times that, so multiply 1.4 times 5. You get 7. So 5 packets costs £7.00

Answer: I like NF and can I do it later I’m in class

Step-by-step explanation:

Step-by-step explanation:

12*4 - 2*2

48 - 4

44 ft of carpet.

Answer:

The x-intercepts of this quadratic function would be (-1, 0) and (4, 0).

Step-by-step explanation:

The x-intercepts of a function are where the graph of the function hits the x-axis on a coordinate plane, meaning the y-coordinate of an x-intercept would always be 0. In this quadratic function's graph, the parabola crosses the x-intercept at two points: (-1, 0) and (4, 0). So that would be the correct answer.

Answer:

x ≈ 11.89

Step-by-step explanation:

Using the cosine rule

x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )

    = 16 + 81 - 72cos128°

     = 97 - (- 44.33 )

      = 141.33 ( take the square root of both sides )

x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

Answer:

69.5

Step-by-step explanation:

Okay first, line them up from least to greatest. Luckily, you have already dont that. now start removimg numbers on each side to get the median.

61, 61, 62, 64, 66, 69, 70, 72, 73, 74, 78, 78

61, 62, 64, 66, 69, 70, 72, 73, 74, 78,

62, 64, 66, 69, 70, 72, 73, 74,

, 66, 69, 70, 72,

now you

Answer:

915 in²

Step-by-step explanation:

The area of the rectangle :

Length = 32 inches

Width = 25 - (10+10) = 25 - 20 = 5 inches

Area of rectangle = Length * width

Area = 32 * 5 = 160 in²

Area of triangle :

Base = 25 inches

Height = (46 - 32) inches = 14 inches

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 25 * 14 = 175 in²

Total area = (160 + 175)in² = 335 in²

Total area of cardboard :

50 inches * 25 inches = 1250 in²

Amount of cardboard not used :

(1250 - 335) in² = 915 in²

Answer:

D.

Step-by-step explanation:

Answer:

D. V15

Step-by-step explanation:

Answer:

(5,7   6,2   4,8   1,3) and (7,1  5,3   4,8   6,2)

Answer: 5,7 6,2 4,8 1,3 7,1 5,3 4,8 6,2

Step-by-step explanation:

Answer:

I send you a pic

Step-by-step explanation:

is that help?

Answer:

After those four plays, the Raptors gained 37 yards from the first play.

Step-by-step explanation:

Since the Raptors football team was losing when they got control of the ball at midfield in the last minute of a game, and they lost 25 yards on the first play they ran, but then they gained 5 yards on the second play, while on the third play, the Raptors gained 27 yards, and on the fourth play, they gained 30 yards, to determine what was the position of the ball relative to its starting point after those four plays the following calculation must be performed:

0 - 25 + 5 + 27 + 30 = X

-25 + 5 + 27 + 30 = X

-20 + 27 + 30 = X

7 + 30 = X

37 = X

Therefore, after those four plays, the Raptors gained 37 yards from the first play.

Answer:

2,1,4,3,6,5,8,7

Step-by-step explanation:

Given:

2,1,4,3,6,5,8,___

Pairing the sequence in twos

2,1

4,3

6,5

It can be seen that each pair of the sequence is arranged in descending order (from highest to lowest)

1, 2 is written as 2,1

3, 4 is written as 4,3

5, 6 is written as 6, 5

Then the next two numbers

7, 8 will be written as 8,7

2,1,4,3,6,5,8,7

Answer:

(-3‚1) lies in second quadrant.

Answer:

0.5 seconds

Step-by-step explanation:

Equation: h(t) = -5t²+5t=10

Where h(t) is in meter, t is in seconds.

The driver will reach maximum height when d[h(t)]/d(t) = 0

From the equation,

d[h(t)]/d(t) = -10t+5

Therefore,

-10t+5 = 0

Solve for t

-10t = -5

10t = 5

t = 5/10

t = 0.5 seconds.

Hence the height will be maximum in 0.5 seconds.

Answer:

7/54

Step-by-step explanation:

A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.

Let the total number of jerseys =

5 red jerseys + 6 blue jerseys 7 white jerseys.

= 18

P(White) = 7/18

P(Blue) = 6/18

Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.

This is probability with replacement, hence:

7/18 × 6/18

= 7/18 × 1/3

= 7/54

Answer:

I think 7

Step-by-step explanation:

Answer:

Without tax, it is 7. How much is the tax?

Step-by-step explanation:

10.00 - 3.77 = 6.23

0.89 x 7 = 6.23

Answer:

Step-by-step explanation:

Answer:

Divide, 16.

Step-by-step explanation:

So, lets look at the unit scale.

For every 16 ounces, there are 1 pound.

To convert ounces to pounds, the number must be divide by 16, since there are 16 ounces in one pound.

The first fill in box answer is division.

Next we must ifnd the actual amount of pounds.

We know that the box weights 96 ounces.

Now lets divide this by ounces per pound, and see what we get:

96/16

=

6

So the box weighs 6 pounds.

This is the answer to the second fill in question.

Hope this helps!

Answer: MULTIPLY N AND 16 THE OTHER GUY IS WRONG

Step-by-step explanation:

DID IT ON I-READY

Answer:

The other leg X = 8m

Step-by-step explanation:

As per Pythagorean theorem-

Square of hypotenuse = sum of square of other two sides  of the triangle

Substituting the given values in above equation, we get -

[tex]10^2 = 6^2 + X^2\\100 - 36 = X^2\\X^2 = 64\\X = 8[/tex]m

The other leg X = 8m