In a photograph, allison stands next to her brother caleb

Step-by-step explanation:

get a coin and toss it 40 times.....then input your answers....

dont forget to make a prediction about the outcome first

The probability of the combined event that the next six days are all sunny is 1/4096

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

Probability that it is sunny = 1/4

Probability that it is cloudy = 3/4

Number of days = 6

The probability for all six days, it is sunny is represented as

Probability = Probability that it is sunny^Number of days

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/4)⁶

Express as decimal

Probability = (0.25)⁶

Evaluate the exponent

Probability = 1/4096

Hence, the probability is 1/4096

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A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.

Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.

finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.

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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Answer:

c(10) = 4

Step-by-step explanation:

Answer:

1 kg = 1000 grams

15,000 grams = 15kg

Answer:-2

Step-by-step explanation:

Ok so I’m assuming the x stands for the multiplication sign

7/2-4.5*3+8

Use pemdas

Multiplication first

7/2-4.5*3+8

-4.5*3

7/2-13.5+8

Then addition

-13.5+8

Lastly subtraction

7/2-5

-2

Answer:

The rate of change is M= -9/13 (M= negative nine over thirteen)

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

I dont want you to "Literally die" so heres the explaination:

The absolute value mean always a positive number. So if a number is positive and it has the absolute value symbol next to it then it is positive. If the number is negative than it become positive. With that say, we can began to solve our linear equation.

We shoudl first isolate the variable so let's subtract the number 8 from BOTH SIDES. So now we should have -24=-12(k/5)

Now we will use the disributive property. this will give us:

-24=(-12k/5)

BUT WAIT!! THE ABSOLUTE VALUE RULE MUST BE APPLIED!!

Therefore it should be -24=12k/5

Now we can just solve this regularly:

Keep reading if you don't know how to solves linear equations.

Multiply 5 to both sides:

-120=12k

k=-10

Answer:It take her 20 minutes, but I dont know how to graph yet, so I can only tell you that xx=20

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Two supplementary angles when addd together equal 180.

let one angle = x

The second angle is 5 times that so would be 5x

x + 5x = 180

Simplify:

6x = 180

Divide both sides by 6:

X = 30

One angle is 30, the second angle would be 150

The answer is 150

Answer:

(x-4)(x-12)

Step-by-step explanation:

If you need help factoring lmk i can help ya :)

Answer:

No solution

y= -3x +4

y= -3x +8

Answer:

X=96

Step-by-step explanation:

180-134=46

180-130=50

SUM OF TWO INTERIOR ANGLES = EXTERIOR ANGLE

50 + 46=96

A) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%. b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%

To solve this problem, we will use the properties of the normal distribution and z-scores. Given that the average completion time for the task is 10 minutes and the standard deviation is 3 minutes, we can proceed with the following calculations:

a) To find the percentage of nurses completing the task in less than 5 minutes, we need to calculate the z-score corresponding to a time of 5 minutes and then determine the area under the normal distribution curve to the left of that z-score.

The z-score formula is given by: z = (x - μ) / σ

where x is the time in question (5 minutes), μ is the mean (10 minutes), and σ is the standard deviation (3 minutes).

z = (5 - 10) / 3 = -5/3 ≈ -1.67

Using a standard normal distribution table or a calculator, we can find that the area to the left of -1.67 is approximately 0.0475 or 4.75%. Therefore, approximately 4.75% of nurses complete the task in less than 5 minutes.

b) To find the percentage of nurses requiring more than 10 minutes to complete the task, we calculate the z-score for a time of 10 minutes and find the area to the right of that z-score.

z = (10 - 10) / 3 = 0

The area to the right of z = 0 is 0.5 or 50%. Therefore, approximately 50% of nurses require more than 10 minutes to complete the task.

c) To find the probability that a nurse will take between 8 and 12 minutes to complete the task, we need to find the area under the curve between the z-scores for 8 and 12 minutes.

z1 = (8 - 10) / 3 = -2/3 ≈ -0.67

z2 = (12 - 10) / 3 = 2/3 ≈ 0.67

Using a standard normal distribution table or a calculator, we find the area to the left of z = -0.67 as approximately 0.2514, and the area to the left of z = 0.67 as approximately 0.7514. Therefore, the probability that a nurse will take between 8 and 12 minutes to complete the task is approximately 0.7514 - 0.2514 = 0.5 or 50%.

d) To find the task times that qualify staff nurses for additional training, we need to determine the z-score corresponding to the slowest 20% of completion times and then convert it back to the original time scale.

The z-score corresponding to the slowest 20% is found by locating the z-score that has an area of 0.2 to its left. Using a standard normal distribution table or a calculator, we find this z-score to be approximately -0.84.

Now, we can convert the z-score back to the original time scale:

z = (x - μ) / σ

-0.84 = (x - 10) / 3

Solving for x, we have:

-0.84 * 3 = x - 10

-2.52 = x - 10

x = 10 - 2.52

x ≈ 7.48

Therefore, the task times that qualify staff nurses for additional training are approximately greater than 7.48 minutes.

In summary:

a) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%.

b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%

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The price function is written below and the rebate should be given at $33.8

To find the function p(x), we have to take into consideration the demand function and price function.

d(x) = [1350 + 260 * (p(x) - 540] / 26

To find p(x), we can solve using mathematical operators.

1350 + 260 * p(x) - 540 = 26d(x)

p(x) = 26d(x) - 1350 / 260 + 540

p(x) = 26d(x) - 1350 / 800

b.

Let's maximize the revenue;

r(x) = d(x) × p(x)

r(x) = 26 + d(x) - 1350) / 1350 + 260* (p(x) - 540) / 26

The value of r(x) can be simplified as;

[54000 + 169 * p((x)] * (1350 + 10 * (p(x) - 540)]

Differentiating this with respect to p(x);

dR(x)/ dP(x) = 169 * (1350 + 10* (p(x) - 540)) + [(54000 + 169 * p(x)) * 10 / 26 = 0

Solving for p(x) ;

p(x) = 622.80

Putting this value into d(x);

d(x) = 2230

The company will offer rebate of;

2230 - 1350 / 26  

rebate = 33.8

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According to the solving the correct prime factorization of 24.

=  2 × 2 × 2 × 3

The correct option is D.

A prime factor is a natural integer other than 1 with only 1 and itself as factors. The initial prime numbers are 2, 3, 5, 7, and 11, as well as others. We can now employ prime factorization for numbers, which involves the use of factor trees.

The easiest algorithm for determining a number's prime factors is to divide the original number whilst also prime factors until the remainder equals one. For example, prime factorizing 30 yields 30/2 = 15, 15/3 = 5, and 5/5 = 1. We are unable to factorize the remainder because we have received it.

Two and three are the prime factors of 24.

A number's prime factors are the factors that seem to be prime numbers. When we perform the prime factorization of 24, we get

we get:

=  2 × 2 × 2 × 3

= 2³ × 3

Where 2 and 3 seem to be prime numbers as well as prime factors of 24.

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The algebraic expression that represents the given word problem is:

m + $26.50 = $40

Algebraic word problems are defined as the questions that require us translating sentences into equations, and then solving those equations. The equations we need to write will only involve. basic arithmetic operations. and a single variable. Usually, the variable represents an unknown quantity in a real-life scenario.

In this problem, we are told that

Goal is to collect $40 for a school fund raiser

Amount already collected is $26.50

Amount left to collect is m.

Thus, the algebraic expression that is represented is:

m + $26.50 = $40

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Since the dimensions of Lesley's bedroom are 7m by 6m, the area is 42 square meters.

The area is the space occupied by a two-dimensional object or space.

The dimensions for the measurement of the area are length and width.

Area is always stated in square units, for example, meters, miles, kilometers, centimeters, etc.

Dimensions of Lesley's bedroom:

Length = 7 m

Width = 6 m

Thus, the area of the bedroom = 42 m² (7 x 6).

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Answer:

7/60

Step-by-step explanation:

multiply 7/12 by 5 (5 people in total) which equals 35/60 which you then divide the 35 by the 5 people

Answer:

a. \(\frac{1}{15}\)

b. \(\frac{2}{5}\)

c. \(\frac{14}{15}\)

d. \(\frac{8}{15}\)

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

a. Favorable cases for Both the laptops to be selected = \(_2C_2\) = 1

Total number of cases = 15

Required probability is \(\frac{1}{15}\).

b. Favorable cases for both the desktop machines selected = \(_4C_2=6\)

Total number of cases = 15

Required probability is \(\frac{6}{15} = \frac{2}{5}\).

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = \(_2C_1\times _4C_1 = 8\)

2. Both desktop:

Favorable cases = \(_4C_2=6\)

Total number of favorable cases = 8 + 6 = 14

Required probability is \(\frac{14}{15}\).

d. 1 desktop and 1 laptop:

Favorable cases = \(_2C_1\times _4C_1 = 8\)

Total number of cases = 15

Required probability is \(\frac{8}{15}\).

Answer:

c.9.5

Step-by-step explanation:

im awesome so so very

Answer:

Step-by-step explanation:

Given Parmesan cheese was on sale for  $13.60 per pound

Welsey bought a piece of the parmesan cheese that weighted \frac{11}{8} pounds

we need to spend$13.60 for 1 pound

for 11/8 pound

11/8 x 13.60= 18.72

So Wesley need to spend $18.70 to get the Parmesan cheese.

Answer:

x=16/5

Step-by-step explanation:

7-4=5x-13

3=5x-13

+13.  +13

16=5x

16/5 = x

Answer:

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