The two team captains agree to eliminate the halftime interval but one of the players insists on a halftime interval. What decision should the referee make

The probability that the sum of the numbers on the dice facing up add up to 3 is 1/18.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

A 6-sided dice has numbers 1, 2, 3, 4, 5, 6 at each of the 6 sides.

The event of rolling two fair 6-sided dice, which the numbers on the dice facing up add up to 3, is by having (1, 2) or (2, 1).

probability = desired outcome / total outcomes

probability = 2 / (6 x 6)

probability = 2 / 36

probability = 1/18

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The another endpoint of a line is (13, -3).

What is Straight line?

A line with no curve is called a straight line.

Given that;

One endpoint of a line = (-3, 7)

Midpoint of a line = (5, 2).

Now, Let the other endpoint of a line = (x, y)

Then, Other endpoint is solve by the definition of midpoint of two points as;

(x + (-3) / 2 , y + 7 / 2 ) = (5, 2)

(x - 3 / 2 , y + 7 / 2) = (5, 2)

By compare we get;

x - 3/ 2 = 5

x - 3 = 2 * 5

x - 3 = 10

x = 10 + 3

x = 13

And,  

y + 7 / 2 = 2

y + 7 = 2 * 2

y + 7 = 4

y = 4 - 7

y = -3

Hence, The another endpoint of a line is (13, -3).

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70,000 pounds of 0.6% grade copper ore needs to obtain 420 pounds of copper and 69,580 pounds of ground rock would be left after extracting 420 pounds of copper from the 0.6% grade copper ore.

How to find pounds of copper for different conditions?

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Answer:

The range is greater than or equal to -3

Step-by-step explanation:

The range is y.

At y  = -6, x doesn't have values.

At y = -3, x stops; therefore, y is greater or equal to -3.

At y = 2, x has values.

Answer:

Find the slope from a graph

Locate two points on the line whose coordinates are integers.

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Count the rise and the run on the legs of the triangle.

Take the ratio of rise over run to find the slope. m = rise / run.

Answer:

4002.61042435

Step-by-step explanation:

Answer:

A,C,D

Step-by-step explanation:

Answer:

1,3,4

Step-by-step explanation:

on edge 2020

A compound event is any event combining two or more simple events.

From the question, we have the following parameters that can be used in our computation:

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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The formula for Observed Score is; Observed score (X) = True score (T) + measurement error (e)

The formula for Observed Score is;

Observed score (X) = True score (T) + measurement error (e)

1) True score is the score that would be obtained if an individual took a test an infinite amount of times and those test scores were averaged. The concept of true score is theoretical because you can't give someone something an infinite number of times.

2) Standard error of measurement is the standard deviation of multiple test scores (how far the sample mean of the data is likely to be from the true population mean).

The less random error (e) in the measure, the more the observed score X approximates the true score T.

Thus;

Observed score = True Score + Error

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Answer:

the y intercept is 0

Step-by-step explanation:

y=5x

there is a 0 as y inter

Answer:

0

Step-by-step explanation:

The equation of a line can always be represented as \(y=kx+b\).

We know the slope is 5, but this doesn't matter right now as we're looking for the y-intercept.

If there is nothing added to the slope, you always assume the y-intercept is (0, 0). It would have stated otherwise, like if the equation was \(y=5x+6\), then the y-intercept would be (0, 6).

So the y-value of the y-intercept of this equation is 0.

Hope this helped!

Answer:

\(6 * 7^3 = 2058\)

Step-by-step explanation:

Given

\(6 * 7^3\)

Required

Solve

App;y law of indices:

\(6 * 7^3 = 6 * 7*7*7\)

Multiply

\(6 * 7^3 = 2058\)

Answer:

Since ABCD is a top face cube

EFGH is a buttom face cube

Now

Diagonal through interior is:

Side AG,CE,FD&BH

So your answer is:

Side C E

Side C ESide D F

Answer:

a = 20 and b = 21

Step-by-step explanation:

Given:

2a-3b = -23

a and b are consecutive

Find:

a and b

Computation:

a = b - 1

So,

2a-3b = -23

2(b-1)-3b = -23

2b - 2 - 3b = -23

-b = -21

b = 21

So

a = b - 1

a = 21-1

a = 20

The volume of air in the spherical ball is \(\frac{4}{3}\cdot \pi\cdot 3^3\cdot 10^6\). So the option A is correct.

In the given question, we have to find the volume of air in the spherical ball.

A sphere's capacity is measured by its volume. It is the area the sphere calls home. Cubic units are used to express the volume of a sphere. The sphere has a three-dimensional, rounded shape. Its shape is defined by its three axes, which are the x, y, and z axes.

Since the cross-section of the sphere is a circle, the volume in this situation is dependent on the radius's diameter. A sphere's surface area is the area or region of its outside. The following formula can be used to determine the volume of a sphere whose radius is "r":

V = \(\frac{4}{3}\pi r^{3}\)

As given r = 3·10^2. So,

V = \(\frac{4}{3}\pi (3\cdot 10^2)^{3}\)

V = \(\frac{4}{3}\cdot \pi\cdot 3^3\cdot 10^6\)

V = \(4\cdot \pi\cdot 3^2\cdot 10^6\) cm^3

Hence, the option A is correct.

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The complete question is given below:

Answer:

15

Step-by-step explanation:

\(=\frac{6!}{4!\left(6-4\right)!}\)

Answer:

Maybe you can add roles, like managing, or narrating?

Step-by-step explanation:

Answer:

Where are the expressions?

Step-by-step explanation:

Answer: 144.44 yards

Step-by-step explanation:

c=3.14 x 46

23+23=46

46 is the diameter

multiply that by 3.14

3.14 x 46=  144.44 yards

The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

Generally, the equation for the limit  is  mathematically given as

\($\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}$.\)

The goal is to locate the zone whose area corresponds to the value supplied by the limit.

The definite integral of a function is what is used to compute the area of that function that is underneath its graph.

The limit,

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f(a+i \cdot \Delta x) \Delta x\)

where\($\Delta x=\frac{b-a}{n}$\) and \($x_{i}=a+i \Delta x$\) for the interval $[a, b]$, is equivalent to the integral

\(\int_{a}^{b} f(x) d x .\)

The given limit can also be written as

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right)} i \cdot \frac{4}{n} .\)

In this limit, \($\Delta x=\frac{4}{n}$\). It can be observed that\($f(a+i \Delta x)=\sqrt{1+\left(\frac{4}{n}\right)} i$\) which implies that \($a=1$ and $f(x)=\sqrt{x}$.\)

Solve the \($\Delta x=\frac{b-a}{n}$\)equation for as follows:

\(\begin{aligned}\frac{4}{n} &=\frac{b-1}{n} \\4 &=b-1 \\5 &=b\end{aligned}\)

Therefore, the specified limit may be expressed as an integral as follows:

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right) i} \cdot \frac{4}{n}=\int_{1}^{5} \sqrt{x} d x\)

Therefore, the limit that has been provided designates the area of the graph of "sqrt(x)" on the interval.[1,5]

However, none of the available choices are compatible with this choice. So, consider

\(a=0, f(x)=\sqrt{1+x}$ and $\Delta x=\frac{4}{n}$.\)

Find the value of $b$ as:

\($$\begin{aligned}\frac{4}{n} &=\frac{b-0}{n} \\4 &=b\end{aligned}$$\)

Find the value of x_{i} as:

\(\begin{aligned}&x_{i}=0+\frac{4}{n} i \\&x_{i}=\frac{4}{n} i\end{aligned}\)

$$

Thus, the integral \($\int_{0}^{4} \sqrt{1+x} d x$\) can be expressed using the equation \($\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$\)

\(\begin{aligned}\int_{0}^{4} \sqrt{1+x} d x &=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\frac{4 i}{n} \frac{4}{n}} \\&=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}\end{aligned}\)

In conclusion, The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

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CQ

The complete Question is attached below

Answer:

Step-by-step explanation:

Area of triangle with angle of 30°:

\(A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25\)

Area of triangle with angle of 50°:

\(A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575\)

Area of the rest of the figure:

\(A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087\)

Therefore:

                  \(A=A_1+A_2+A_3=6.25+9.575+61.087=76.912\)

There will be 262080 strings of length 12  over the alphabet {a, b, c, d} start with aa or end with aa or both

To count the number of strings of length 12 over the alphabet {a, b, c, d} that start with "aa" or end with "aa" or both, we can use the principle of inclusion-exclusion.

Let A be the set of strings of length 12 that start with "aa", and let B be the set of strings of length 12 that end with "aa". We want to count the size of the union A ∪ B, which is the set of strings that satisfy at least one of the two conditions.

The size of A can be counted by fixing the first two positions to be "aa", and then the remaining 10 positions can be filled in with any of the four letters. Therefore, the size of A is 4^10.

Similarly, the size of B can be counted by fixing the last two positions to be "aa", and then the first 10 positions can be filled in with any of the four letters. Therefore, the size of B is also 4^10.

However, we have double-counted the strings that both start with "aa" and end with "aa". These strings have "aa" in the first two positions and "aa" in the last two positions, so they have the form "aa______aa", where the blank spaces can be filled in with any of the four letters. There are 4^8 such strings.

By the principle of inclusion-exclusion, the size of A ∪ B is given by:

|A ∪ B| = |A| + |B| - |A ∩ B|

= 4^10 + 4^10 - 4^8

= 2 * 4^10 - 4^8

= 262080

Therefore, over the letters a, b, c, and d, there are 262080 strings of length 12 that either begin with "aa" or finish with "aa," or both.

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Answer:

9

Step-by-step explanation:

You should deposit approximately $340.84 monthly to reach $293,000 in 28 years at a 4.4% annual interest rate compounded monthly.

To calculate the monthly deposit required for an investment plan paying 4.4% interest compounded monthly to reach $293,000 in 28 years, we use the future value of an annuity formula:

FV = P * (((1 + r)^n - 1) / r)

Here, FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of payments. First, convert the annual interest rate (4.4%) to a monthly rate by dividing by 12, which gives 0.0367 (4.4%/12) or 0.00367 as a decimal. The number of payments (n) is 28 years * 12 months/year = 336.

We want to find P, so rearrange the formula:

P = FV / (((1 + r)^n - 1) / r)

Substitute the values:

P = $293,000 / (((1 + 0.00367)^336 - 1) / 0.00367)

P ≈ $340.84

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Answer:

is 32

Step-by-step explanation:

well you have 122-180 to get 58 is the other sides angle. plus you already have 90 degrees so 90 plus 58 equals 148-180 and you get 32

Answer:58

Step-by-step explanation:

Let's start by setting up some equations based on the given information.
Let's call the width of the rectangle "w" and the length "l". We know that:
l = 2w - m  (since the length is "m less than twice its width")

When we add "m" to the width, we get a square with an area of:
(w + m)^2 =
We can set up another equation based on the fact that the area of the original rectangle is:
A = lw =
Now, we can use the information we have to solve for the dimensions of the original rectangle. We can start by simplifying the equation for the area of the square:
(w + m)^2 =
w^2 + 2wm + m^2 =
Now we can substitute our expression for "l" in terms of "w" and "m":
w(2w - m) =
Expanding this out gives us:
2w^2 - wm =
We can substitute this expression for "lw" in our equation for the area of the square:
2w^2 - wm =
w^2 + 2wm + m^2 =
Now we can simplify this equation by expanding out the square on the left side:
2w^2 - wm =
w^2 + 2wm + m^2 =
2w^2 - wm =
w^2 + 2wm + m^2 =
w^2 + wm + m^2 =
Now we can solve for "m" by subtracting the first equation from the second:
3wm + m^2 =
Subtracting "w^2" from both sides gives us:
wm + m^2 =
Now we can solve for "m" using the quadratic formula:
m =
We can use this value for "m" to solve for the dimensions of the original rectangle. Substituting into our equation for "l" in terms of "w" and "m", we get:
l = 2w - m =
And substituting into our equation for the area of the rectangle, we get:
A = lw =
So the dimensions of the original rectangle are:
Width: w =
Length: l =

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Answer:

4

Step-by-step explanation:

One way to do it: The y-axis is the vertical axis. The point is at 4 on the y-axis.

Another way to do: Coordinates of the point = (2,4)

The y-coordinate is the second number.

We can write the {y} - coordinate of the given point as 4 because the general form of the coordinate in 2 - D plane is (x, y).

Given is to find the value of the {y} coordinate of the plotted point

The given point is (2, 4). We can write the {y} - coordinate of the given point as 4. This is because we know that the general form of the coordinate in 2 - D plane is (x, y).

Therefore, we can write the {y} - coordinate of the given point as 4 because the general form of the coordinate in 2 - D plane is (x, y).

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Answer: x=5

Step-by-step explanation:

You can never get a negative under the square root so you start to get real number from 0 onward

Set under the root =0 to find where x real begins

x-5=0

x=5

At x=5 that's when real outputs begin

7.2 ÷ 3.6 = 2.0 and (8 - 5) = 3. Therefore, the quotient is 2.0 x \(10^{3}\) in scientific notation.

The quotient of 7.2 x \(10^{8}\) and 3.6 x \(10^{5}\) can be found by dividing the coefficients and subtracting the exponents.
we can talk about the importance of scientific notation in representing large and small numbers in a concise and manageable way. Scientific notation allows us to express numbers as a coefficient multiplied by a power of 10, which makes it easier to work with very large or very small numbers without having to write out all the digits.
In this specific problem, we have two numbers expressed in scientific notation that we need to divide. By following the rules of scientific notation, we can divide the coefficients and subtract the exponents to find the quotient. The answer is expressed as 2.0 x  \(10^{3}\) , which is a much more manageable representation of the result than writing out all the digits of the quotient.
In conclusion, scientific notation is an important tool in mathematics and science for representing large and small numbers in a concise and practical way.

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Answer:

end point and start point

Step-by-step explanation:

hope it helps you