Clive needs to write 20 paragraphs for a school assignment. He has already written 10 and can write 5 paragraphs per hour. Clive solves
for the number of hours it will take to complete his assignment by subtracting 10 from 20 and then dividing by 5.
Which of the equations below can be solved using the same steps?
O A 10z +5 - 20
OB. 5z + 10 - 20
OC. 5z + 10% = 20
OD. 20z - 10% = 5

By using normal distribution of probability, it is obtained that

92.4% of phone are eligible for free gift

What is normal distribution of probability?

Normal distribution of probability is the continuous type probability distribution whose probability density function is given by

P(X > x) = \(\frac{1}{\sigma \sqrt{2 \pi}}e^\frac{-z^2}{2}\)

where \(z = \frac{x - \mu}{\sigma}\)

\(\mu\) is the mean and \(\sigma\) is the standard deviation

Here it is given that the prices of the cell phones manufactured by Ahmadi are normally distributed

Mean = $98

Standard deviation = 12

P(x \(\geq\) 81.8) = P(z \(\geq\) \(\frac{81.8 - 98}{12}\)) = P(z \(\geq\)  -1.35) = 0 .924

So 92.4% of phone are eligible for free gift

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The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

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Answer:

c. 15in

Step-by-step explanation:

Answer:

C. 15 inches

Step-by-step explanation:

The perimeter of a traingle is all of the sides added together. If three sides equal 36, and 2 equal 21, then the remaining side would be 15.  Hope this helps!

Answer:

x=5

y=−1

Step-by-step explanation:

x+y=4

2x−5y=15

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

x+y=4,2x−5y=15

To make x and 2x equal, multiply all terms on each side of the first equation by 2 and all terms on each side of the second by 1.

2x+2y=2×4,2x−5y=15

Simplify.

2x+2y=8,2x−5y=15

Subtract 2x−5y=15 from 2x+2y=8 by subtracting like terms on each side of the equal sign.

2x−2x+2y+5y=8−15

Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.

2y+5y=8−15

Add 2y to 5y.

7y=8−15

Add 8 to −15.

7y=−7

Divide both sides by 7.

y=−1

Substitute −1 for y in 2x−5y=15. Because the resulting equation contains only one variable, you can solve for x directly.

2x−5(−1)=15

Multiply −5 times −1.

2x+5=15

Subtract 5 from both sides of the equation.

2x=10

Divide both sides by 2.

x=5

The system is now solved.

x=5,y=−1

The expected population size after two generations is 216.

To calculate the expected population size after two generations using the given value of λ, we can use the formula:

\(Nt = N0 * lemda ^{t}\)

where Nt is expected population size after t generations,

N0 is the initial population size, and lemda (λ) is the geometric growth rate.

Here, initial population size is N0 = 150, and the growth rate is λ = 1.2. We want to find the expected population size after two generations, so t = 2.

Putting these values into the formula, we get:

\(Nt = 150 * (1.2)^{2} \\Nt = 150 * 1.44\\Nt = 216\)

Therefore, the expected population size after two generations is 216.

So, the correct answer is option (d) 216.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's consider the points (0 , -1) and (1 , 2) to find the slope of given line ~

I hope it helps ~

Answer:

After looking at the image you posted, I deduced that the correct answer should be slope= 3.

Step-by-step explanation:

I came to this conculsion by using the formule slope= \(\frac{rise}{run}\) or \(\frac{y-axis}{x-axis}\)

Firstly:

I identified the position of the two points. The first points position being (-1, 0) and the second being (1, 2).

Secondly:

I then found the difference between the two points on the graph to be

(1,3) or (x=1, y=3).

Thus:

The \(\frac{rise}{run}\) of the two points is \(\frac{y=3}{x=1}\) or 3.

Answer:

True!

Step-by-step explanation:

This is true because interest rates may be used when you are taking out a loan!

For example, you are taking a loan to buy a house. The company says that they are charging 1% interest rate per month. You are adding that 1%

I hope this makes sense!

Answer:

18k + 22p -10

Step-by-step explanation:

The solution is Option B

The equation to represent the total cost for Mr.Thompson to rent a kayak for k hours and paddle board for p hours is A = 18k + 22p - 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of renting a kayak per hour be = $ 18

Let the number of hours of renting the kayak be = h

Let the cost of renting a paddle board per hour be = $ 22

Let the number of hours of renting the paddle board be = p

Let the discount of cost as coupon = $ 10

Now , the total cost of renting at Cycle and Sports for Mr. Thompson A =
( cost of renting a kayak per hour x number of hours of renting the kayak ) +
( cost of renting a paddle board per hour x number of hours of renting the paddle board ) -  discount of cost as coupon

Substituting the values in the equation , we get

Total cost for Mr.Thompson to rent a kayak for k hours and paddle board for p hours A = 18h + 22p - 10

Therefore , the value of A is 18h + 22p - 10

Hence , the equation for total cost is A = 18h + 22p - 10

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Solution. To graph f, we graph the equation y=f(x).

To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x -intercepts, we set y=0. Since y=f(x), this means f(x)=0.

\($$\begin{aligned}f(x) & =x^2-x-6 \\0 & =x^2-x-6 \\0 & =(x-3)(x+2) \quad \text { factor } \\x-3=0 & \text { or } x+2=0 \\x & =-2,3\end{aligned}$$\)

So we get (-2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x=0. Using function notation, this is the same as finding f(0) and f(0)=0^2-0-6=-6. Thus the y-intercept is (0,-6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right.

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To determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).

Rate of Change:

A rate of change describes how an output quantity changes relative to the change in the input quantity. The units on a rate of change are “output units per input units.”

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

\(\frac{\triangle y}{\triangle x} = \frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1}}\)

How to determine:

Given the value of a function at different points, calculate the average rate of change of a function for the interval between two values \(x_{1}\) and \(x_{2}\).

Hence the answer is to determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).

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The probability of at most six individuals in the sample having used a discount broker is calculated to be approximately 0.997.

To solve this problem, we need to use the binomial distribution formula. Let X be the number of individuals in the sample who have used a discount broker. Then, X follows a binomial distribution with parameters n = 9 and p = 0.3.

The probability of at most six individuals in the sample having used a discount broker can be calculated as follows:

P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 6)

Using a binomial probability table or calculator, we can find the individual probabilities and sum them up. Alternatively, we can use a normal approximation to the binomial distribution if the sample size is large enough (np and n(1-p) are both greater than 5).

Using the normal approximation, we have:

mean = np = 9 x 0.3 = 2.7

variance = np(1-p) = 9 x 0.3 x 0.7 = 1.89

standard deviation = √(variance) = 1.374

To standardize the distribution, we calculate the z-score:

z = (6.5 - 2.7) / 1.374 = 2.75

Using a standard normal distribution table or calculator, we find that the probability of a z-score less than or equal to 2.75 is approximately 0.997.

Therefore, the probability of at most six individuals in the sample having used a discount broker is approximately 0.997.

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The complete question is :

What is the probability that in a random sample of nine individual investors, at most six have used a discount broker, given that the American Society of Investors survey found that 30% of individual investors have used a discount broker?

The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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Factor : x^2+3x-10

Answer = (x - 2)(x + 5)

Explanation:

Y = x^2 + 3x - 10.

Find 2 numbers knowing sum (3) and product (-10).

Factor pairs of (-10) -> (-1, 10)(-2, 5). This sum is 3 = b. The 2 numbers are: -2 and 5.

y = (x - 2)(x + 5).

The number of unique cookout trays possible are 5,000.

Given data:

To calculate the number of unique cookout trays, consider the combinations of main items, sides, and drinks.

There are 10 options for the main item.

For the two sides, we have 10 options for the first side and 10 options for the second side.

For the drink, there are 5 options.

To find the total number of unique cookout trays, multiply the number of options for each category:

Total number of unique cookout trays = 10 (main items) * 10 (first side) * 10 (second side) * 5 (drinks)

= 5,000

Hence, there are 5,000 unique cookout trays possible with the given options for the main item, sides, and drinks.

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"The speed of a randomly selected car on a highway" and "the percent change in the price of a share of IBM stock in a month" are examples of continuous random variables. Options A and C are the correct answers.

Continuous random variables are those that can take on any value within a given range, as opposed to discrete random variables, which can only take on certain values.The speed of a randomly selected car on a highway and the percent change in the price of a share of IBM stock in a month are examples of continuous random variables.

These variables have a range of values and can take on any value within that range.The number of claims on a medical insurance policy on a given year, the number of customers that enter a particular store on a randomly selected day, and the time that elapses between two customer service calls are examples of discrete random variables. These variables can only take on certain values, such as whole numbers or specific times.

Thus option A and option C are the correct answers.

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Step-by-step explanation:

120 ft relate to 24 inches.

120/80 must be the same ratio as 24/model width.

120/80 = 3/2

so,

24/width = 3/2

48/width = 3

48 = 3width

width = 48/3 = 16 inches

The Tracking Signal in Week 3 is -1.8.

The Tracking Signal in Week 3 can be calculated by using the following formula:

Tracking Signal = (Sum of Forecast Errors) / (Mean Absolute Deviation)

First, we need to calculate the forecast errors for each week:

Week 1 Forecast Error = Actual Demand - Forecast = 50 - 49 = 1
Week 2 Forecast Error = Actual Demand - Forecast = 54 - 56 = -2
Week 3 Forecast Error = Actual Demand - Forecast = 58 - 60 = -2

Next, we need to calculate the Mean Absolute Deviation (MAD):

MAD = (|1| + |-2| + |-2|) / 3 = (1 + 2 + 2) / 3 = 5 / 3 = 1.67

Finally, we can calculate the Tracking Signal:

Tracking Signal = (1 + -2 + -2) / 1.67 = -3 / 1.67 = -1.8

Therefore, the Tracking Signal in Week 3 is -1.8.

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A - Growth (25%)

B- Growth (75%)

C - Growth

D - Growth (100%)

E - Growth (99%)

An rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

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Answer: y < 4x - 2

Step-by-step explanation:

It will be the last one because that is the best answer if you paid attention in the graph.

The inequality of the line will be y > 2x - 4. Then the correct option is B.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The intercept of the line is -4 and the slope is 2. Then the equation of the line will be

y = 2x - 4

From the graph, the graph above the line is considered, then the inequality of the line will be

y > 2x - 4

Then the correct option is B.

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Answer:

x = 45

Step-by-step explanation:

x + 135 = 180    {linear pair}

         x = 180 - 135

         x = 45

The polynomial function has zeroes as given by x=0

In general, given zeroes of a polynomial function, a, b, c, and d, we can write the function as the multiplication of the factors

(x-a), (x-b), (x- c), and (x-d) then the degrees are 4

simply:

f(x)=(x-a) (x-b) (x- c) (x-d)

In this case, we can show that each of a, b, c, and d are zeroes of the function:

f(a)=(a-a) (a-b) (a-c) (a-d)

     = (0) (a-b) (a-c) (a-d)

     =0

f(b)=(b-a) (b-b) (b-c) (b-d)

      =(b-a) (0) (b-c) (b-d)  

      =0

f(c)=(c-a) (c-b) (c-c) (c-d)

     =(c-a) (c-b) (0) (c-d)

     =0

f(d)=(d-a) (d-b) (d-c) (d-d)

     =(d-a) (d-b) (d-c) (0)

     =0

since the value of the function at x=a, x=b, c, and d are equal to 0, then the function

f(x)=(x-a) (x-b) (x- c) (x-d) has zeroes at a, b, c and d

with the generalized form, we can substitute for the given zeroes,

x=-5, x=-2,0and 5 where a=-5, b=-2, c=0 and x=5

f(x)=(x-(-5)) (x-(-2)) (x-0) (x-5)

simplifying gives:

f(x)=(x+5) (x+2) x(x-5)

from here, we can put it in standard polynomial form by foiling the right side:

f(x)=x^3+2x^2-25x-50

To double-check the answer, just plug in the given zeroes, and ensure the value of the function at those points is equal to 0.

f (-5) =x^3+2x^2-25x-50

       =(-5)^3+2(-5)^2-2(-5)-50

f (-5) =0

f (-2) =(-2)^3+2(-2)^2-2(-2)-50

f (-2) =0

f (0) =0

f (5) =(5)^3+2(5)^2-2(5)-50

    =0

Hence, the function has zeroes as given by x=0.

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The present value with interest rate is 14% is $1810.92.

The future value is $4892.

The interest rate is 14% per year.

The time period is 16 years.

To calculate the present value, we can use the following formula:

present value = future value / (1 + interest rate)**number of years

Plugging in the values for the future value, interest rate, and time period, we get:

present value = 4892 / (1 + 0.14)**16 = 1810.92

Therefore, the present value of $4892 if the interest rate is 14% and the number of years is 16 is $1810.92.

In words, the present value is calculated by dividing the future value by the factor that is 1 plus the interest rate raised to the power of the number of years. In this case, the future value is $4892, the interest rate is 14%, and the time period is 16 years. Therefore, the present value is $1810.92.

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Answer:

what is the question? I only see the number.

The ratio of American who believe in ghosts and the Americans who do not is 21 : 29  .

In the question ,

it is given that ,

the total number of Americans in the sample is = 100 ,

the number of Americans who believe in ghosts is = 42 ,

So , the number of people who do not believe in ghosts is = (total Americans) - (Americans who believe in ghosts)

Substituting the values ,

we get ,

= 100 - 42

= 58 .

So , the ratio will be = 42/58

Simplifying further ,

we get ,

= 21/29

Therefore , the required ratio is 21 : 29 .

The given question is incomplete , the complete question is

For a sample of 100 Americans community college students, 42 of them believe in ghosts. Compute the ratio of American who believe in ghosts and the Americans who do not  for the given data.

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506.433 minutes elapse before the minute hand next points in the same direction as the hour hand.

Conversion of hours to minute:

As we all know, an hour is made up of sixty minutes, therefore

1 hour=60minutes

Thus, all you need to do to convert time from hours to minutes is to multiply the time in hours by 60 to get the time in minutes.

If you want to convert minute to hours divide the given time in minutes by 60.

The hands line up 11 times every 12 hours, or roughly every 1:05.5 hours; the precise number is 1:05.4545 repeating.

The repetition time is 8:43.6363. When expressed in seconds, the result is 8:43:38.1818 repeating, or 8:43:38 and 2/11.

This is 261 and \(\frac{9}{11}\) degrees, or 261.818 repeated.

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Answer:

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow (y-5)2-(y-3)2=12 \)

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-10-2y-6=12\)

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-2y-10-6=12 \)

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow -16=12 \)

\(\\\qquad\quad\displaystyle\sf {:}\longrightarrow y's\:value\:is\:undefined \)

Answer:

\( {(y - 5)}^{2} - {(y - 3)}^{2} = 12 \\ = ( {y}^{2} - 10y + 25) - ( {y}^{2} - 6y + 9) = 12 \\ = {y}^{2} - 10y+ 25 - {y}^{2} + 6y - 9 = 12 \\ = - 4y + 16 = 12 \\ = - 4y = 12 - 16 \\ = - 4y = - 4 \\ = y = \frac{ - 4}{ - 4} \\ = \boxed{y = 1}\)

Answer:

  7

Step-by-step explanation:

You want the common difference of the arithmetic sequence that starts ...

  15, 22, 29, ...

The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.

  22 -15 = 7

  29 -22 = 7

The common difference is 7.

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a) The volume of the cube is 27,271 cubic centimeter

b) The surface area of the cube is 5,400

Well the edge is  30 cm +-  0.1 cm

Volume will be side cubed, so max estimate for volume is (30.1)^3, and minimum  (29.9)^3

So percentage error =   [(30.1)^3  -  30^3/ /  30^3    x  100 = 1,00 %

Surface area is 6 x side squared

So max estimate for area is 6 x 30.1^2,      

minimum  6 x 29.9 ^ 2

So percentage error =   (6 x 30.1^2 - 6 x 30^2) / (6 x 30^2)   x 100 = 0.67 %

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