A spinner contains the numbers 1 through 70. What is the probability that the spinner will land on a number that is not a multiple of 12?

Answer:

3,3/2

Step-by-step explanation:

let 10,-6 be x1, y1

-4,-9 be x2, y2

(x1+x2)/2 , (y1+y2)/2

(10-4)/2 , (-6+9)/2

6/2 , 3/2

3 , 3/2

Answer:

(3, -7.5)

Step-by-step explanation:

Use the midpoint formula: (x1 + x2) / 2 , (y1 + y2) / 2

Plug in the points:

(10 - 4) / 2 , (-6 - 9) / 2

6/2 , -15/2

3, -7.5

So, the midpoint will be at (3, -7.5)

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

For more questions on Compounded .

https://brainly.com/question/31474686

#SPJ8

Answer:

False

Step-by-step explanation:

You can use test intervals and critical numbers to solve quadratic and rational inequalities.

The equation of the parabola that opens to the right, has a focus (-1, -3), and a focal diameter of 8 is y = (1/16)x²+ (10/16)x - (23/16)

To determine the equation of a parabola that opens to the right, has a focus at (-1, -3), and a focal diameter of 8

we can use the standard form of the equation for a parabola with a horizontal axis:

(x - h)² = 4p(y - k)

Where (h, k) is the vertex of the parabola and p is the distance from the vertex to the focus.

Since the parabola opens to the right, the vertex will be to the left of the focus.

Therefore, the vertex will be at (-1 - p, -3).

The focal diameter is given as 8, which means the distance between the vertex and the focus is p = 8/2 = 4.

Plugging these values into the equation, we have:

(x - (-1 - 4))² = 4 × 4 × (y - (-3))

Simplifying:

(x + 5)² = 16(y + 3)

x² + 10x + 25 = 16y + 48

Rearranging to isolate y:

16y = x² + 10x + 25 - 48

16y = x² + 10x - 23

Dividing by 16:

y = (1/16)x² + (10/16)x - (23/16)

Therefore, the equation of the parabola that opens to the right, has a focus (-1, -3), and a focal diameter of 8 is y = (1/16)x²+ (10/16)x - (23/16)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

(a) - A runs the race at a constant speed, never speeding up or slowing down. B accelerates throughout the race, starting out slower than A and, by the end, running faster than A.

(b) - Based on the graph, it appears that they are furthest apart after 8 seconds, when they are approximately 30 meters apart.

(c)- The two graphs appear to have the same slope (i.e., velocity) 9 or 10 seconds into the race.

graph attached below,

constant speed

When an object travels the same distance in the same period of time, it is said to be traveling at a constant speed. At constant speed, an object travels a uniform distance in an equal interval of time. The equation of the speed can be given as: S = d t.

Slope

Slope is a measure of the steepness of a line.

Learn more about Speed and distance here :-

https://brainly.com/question/12759408

#SPJ4

c² + 9 + 6c is the solution by distributive property .

What in mathematics is a distributive property?

This characteristic states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend separately by the number and then combining the products collectively.

                                       When you multiply one value by another, you are using the distributive property of multiplication over addition. When multiplying 5 by the sum of 10 plus 3, for instance, add 3. We typically add the numbers first, then multiply the result by 5, since the terms are similar. However, in accordance with the property, you can first multiply each addend by 5.

= (c+3)^2

= c² + 9 +  2 * c * 3

= c² + 9 + 6c

Learn more about distributive property

brainly.com/question/5637942

#SPJ1

The lowest common denominator of 3/8 and 3/5 is 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3/8 and 3/5

LCD means the lowest common denominator.

So,

8 x 5 = 40

5 x 8 = 40

Thus,

The lowest common denominator of 3/8 and 3/5 is 40.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer: 9.5

Step-by-step explanation:

i just did it lol

The weighted mean of the given data set is approximately 3.143, considering the varying importance of each data point.

To compute the weighted mean, we need to multiply each data point by its corresponding weight, sum up the weighted values, and divide by the sum of the weights. Let's calculate the weighted mean using the given data and weights:

Xi    Weight (wi)

3.1      5

2.3      3

2.8      2

4        4

Step 1: Multiply each data point by its corresponding weight:

3.1 * 5 = 15.5

2.3 * 3 = 6.9

2.8 * 2 = 5.6

4 * 4 = 16

Step 2: Sum up the weighted values:

15.5 + 6.9 + 5.6 + 16 = 44

Step 3: Sum up the weights:

5 + 3 + 2 + 4 = 14

Step 4: Divide the sum of the weighted values by the sum of the weights:

44 / 14 = 3.143

Therefore, the weighted mean of the given data set is approximately 3.143.

The weighted mean is a useful measure when different data points have varying degrees of importance or relevance. In this case, the weights represent the importance assigned to each data point. By taking into account the weights, the weighted mean provides a more accurate representation of the average value.

It's worth noting that the weighted mean is influenced more by data points with higher weights. In our example, the data point with a weight of 5 (3.1) contributes more to the weighted mean than the data point with a weight of 2 (2.8).

Overall, the weighted mean allows us to calculate a more representative average when considering the varying importance of different data points.

For more such information on: mean

https://brainly.com/question/1136789

#SPJ8

Answer:

  a. definition of exponent

  b. distributive property

  c. distributive property

  d. combining like terms

Step-by-step explanation:

You want the properties that justify the steps on expanding the square of a binomial.

The factor is repeated a number of times equal to the exponent. This is the definition of an exponent.

The first factor multiplies each term of the second factor. This is an example of the distributive property.

The second factor multiplies each term of the first factor. This is an example of the distributive property.

Terms ba and ab are combined. This "collecting terms" essentially makes use of the commutative property of multiplication and the distributive property:

  ba +ab = ab +ab . . . . . commutative property of multiplication

  ab +ab = (1 +1)ab . . . . . distributive property

  = 2ab . . . . . . . properties of integers

Answer:

Step-by-step explanation:

plug the units in and multiply then you should have a answer

The commission on $950 = 13/100 x 950 = $ 123.5

The commission on $2200 = 13/100 x 2200 = $286

The commission on $3000 = 13/100 x 3000 = $390

The commission on $2600 = 13/100 x 2600 = $338

Each commission = 13/100 x the amount in question

Using it's concept, it is found that there is a 0.0382 = 3.82% probability that a randomly selected fatal a crash occurs when it is Dawn/dusk.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, it is found that there were 219 + 51 + 156 + 17 + 2 = 445 fatal accidents on snow/sleet conditions, and of those, 17 accidents happened when it was dawn/dusk, hence the probability is given by:

p = 17/445 = 0.0382.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

According to the given information, the letter that comes next in the given alphanumeric series is "N".

What is alphanumeric series?

An alphanumeric series is a sequence of letters and/or numbers that follows a certain pattern or rule. For example, "A, B, C, D, E..." is an example of an alphabetical series, and "1, 3, 5, 7, 9..." is an example of a numerical series. An alphanumeric series may combine both letters and numbers, such as "A1, B2, C3, D4, E5...". The pattern or rule followed by an alphanumeric series may be based on numerical or alphabetical order.

The given series V, Q, M, J, H, ... follows a pattern where each letter is the 6th letter from the previous letter. So, the next letter in the series would be 6 letters after H, which is N.

Therefore, the letter that comes next in the given alphanumeric series is "N".

To know more about the alphanumeric series visit:

brainly.com/question/10798102

#SPJ1

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

Learn more about radicals here:

https://brainly.com/question/12739054

#SPJ1

Answer:

Step-by-step explanation:

65.97in

Answer:

Step-by-step explanation:

In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.

Four(4) children each have some beads, the mean number of beads is: 8

        4 * 8 = 32

We set the number of beads Rajiv brings as:

x, so the total number of beads that the Five(5) children have is:

32  +  x

The mean number of the Five(5) children is now: 9

      5  *  9   =  45

     32 +  x    =    45

      x  +  32  =    45

           -  32  =   -32

       x            =     13

By solving the above equation, you can get:

x  =  13

       13

Hope this helps!

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

Learn more about inequality:https://brainly.com/question/20383699

#SPJ1

Answer: B

Step-by-step explanation:

To find the inverse function, you switch x with y and y with x. Then, you solve for y.

\(y=(x-1)^{2} -4\)                                  [switch x with y, and y with x]                        

\(x=(y-1)^2-4\)                                  [add both sides by 4]

\(x+4=(y-1)^2\)                                  [square root both sides]

\(\sqrt{x+4} =y-1\)                                    [add both sides by 1]

\(\sqrt{x+4} +1=y\)

\(f^-^1(x)=1+\sqrt{x+4}\)

Now that we know the inverse function, we can actually tell that the answer is B. We know this because of the restriction that f(x) is x≤1. This makes it positive, and B the answer.

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

To know more about continuous here

https://brainly.com/question/30089268

#SPJ1

Answer:

Step-by-step explanation:

Its is

6CM wide. as to find the area we have to times the length x height :)

Answer:

wide = 6 cm

Step-by-step explanation:

\(t=tall=10\)

\(w=wide=?\)

\(P=perimeter=32\)

The equation:

\(P=2t+2w\)

\(32=2(10)+2w\\32=20+2w\)

\(32-20=2w\\12=2w\)

\(\frac{12}{2} =w\)

\(6=w\)

Hope this helps.

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

Learn more about permutation here:

brainly.com/question/1216161

#SPJ1

Answer:

the first answer is correct and brainliest plsss (^_^)

Step-by-step explanation:

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

<95141404393>

here is the answer 1,000,700

The standard form of "one million seven hundred" is 1,000,700.

The standard form of a number refers to the representation of a number using digits and place value notation. It is also known as the decimal form or the base-10 form.

We have,

"one million seven hundred"

In standard form, numbers are written using place value notation, where each digit is assigned a position based on its place value.

In the case of "one million seven hundred," the digit 1 represents one million, the digit 7 represents seven hundred, and the remaining zeroes represent placeholders for the tens, ones, and smaller place values.

So, by combining the place values, we can express "one million seven hundred" in standard form as 1,000,700, where the 1 represents one million, the 0s serve as placeholders for the smaller place values, and the 7 represents seven hundred.

Learn more about standard form here:

https://brainly.com/question/29775316

#SPJ2

Answer:4$

Step-by-step explanation:

The average price of the stock over the first eight years is 50.69 units / year .

Given :

A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function :

S ( t ) = 37 + 16 e^0.04t.

We find the average value of the stock ,

\(f_{ave} =1/b-a \int\limits^8_0 {f(x)} \, dx\)

\(f_{ave} =1/8-0 \int\limits^8_0 {S (t)} \, dx\)

\(f_{ave} =1/8( \int\limits^8_0 {37} \, dt + \int\limits^8_0 {16e^{(0.04t) \, dt\)

= 37 / 8 ( 8 - 0 ) - 1 / 0.02 ( \(e^{-0.04 * 8 }\) - \(e^{-0.04 * 0\))

= 50.69 units / year.

Learn more about the average here:

https://brainly.com/question/29306232

#SPJ4

The solution is, 25w^14, is the simplified power of the product.

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

given that, expression.

(5w^7)^2

=5^2. (w^7)^2

=25.w^14

Hence, The solution is, 25w^14, is the simplified power of the product.

To learn more on exponent number click:

brainly.com/question/19467739

#SPJ6