you are to create a password using 7 letters from the alphabet (repetition allowed). what is the probability that no letter is repeated if the letters were randomly chosen to be in the password?

Answer:

$27.25

Step-by-step explanation:

When there is a gain, that is a positive amount, so add the positive numbers together.

1.25 + 3.25 = 4.50

When there is a loss, that is a negative amount, so add the negatives together.

-5.50 + (-2.00) + (-1.75) = -9.25

Add stock price and the positive amount

32.00 + 4.50 = 36.50

Now add (subtract since you have a negative and a positive amount) the negative amount.

36.50 + (-9.25) = 27.25

The number of tickets that should be purchased for the cost of both carnival to be equal is 10 tickets.

Assume the number of tickets to be purchased is x.

The expression for the total cost at Carnival M is:

= Entrance fee + (price of tickets x number of tickets)

= 5 + 0.50x

The expression for the total cost at Carnival P is:

= 7 + 0.30x

To find the number of tickers, equate both expressions:

5 + 0.50x = 7 + 0.30x

0.50x - 0.30x = 7 - 5

0.20x = 2

x = 2 / 0.20

= 10 tickets

10 tickets will need to be bought to both Carnivals for the cost to be the same.

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Answer:

°F = 356

Step-by-step explanation:

°C = (°F - 32) ÷ 1.8

180 = (°F - 32) ÷ 1.8

180×1.8 = °F - 32

324 = °F - 32

°F = 324 + 32

°F = 356

Confounding variables can affect the relationship between caffeine consumption and heart disease in a correlational study of police officers. Controlling for these variables is necessary to accurately assess the relationship.

The fact that the officers in the study could not be randomly assigned to high and low caffeine groups suggests that the results of the study may be due to confounding variables. A confounding variable is a third variable that is correlated with both the independent variable (in this case, caffeine consumption) and the dependent variable (in this case, heart disease). If a confounding variable is present, it can make it difficult to determine the true relationship between the independent and dependent variables.

For example, if the officers who consume more caffeine also have other unhealthy habits (such as smoking or eating unhealthy diets) that increase their risk of heart disease, it may be difficult to determine the true effect of caffeine on heart disease. In this case, the unhealthy habits would be the confounding variable, and controlling for these variables would be necessary to accurately assess the relationship between caffeine consumption and heart disease.

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The perimeter of Rosella's new Maura is 24 feet. The moral measures of Rosella's Maura are given as 3.5 feet by 5.5 feet.

To create a new Maura that is 1.5 feet longer, we need to add 1.5 feet to both the length and width of the original Maura.

The new dimensions of Rosella's Maura are (3.5 + 1.5) feet by (5.5 + 1.5) feet, which simplifies to 5 feet by 7 feet.

To find the perimeter of a rectangle, we add the lengths of all four sides. In this case, the perimeter of Rosella's new Maura is:

Perimeter = 2(length + width)

= 2(5 + 7) feet

= 2(12) feet

= 24 feet.

Therefore, the perimeter of Rosella's new Maura is 24 feet.

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The given equation is expressed as

- 8 = 8(y - 5)

To solve for y, we would divide both sides of the equation by 8. We have

- 8/8 = 8/8(y - 5)

- 1 = y - 5

Adding 5 to both sides of the equation, we have

- 1 + 5 = y - 5 + 5

4 = y

y = 4

The only value that is a solution is

y = 4

The other values are not solutions

Thus,

y

8 No

9 No

- 2 No

4 Yes

Answer:

A I think it is the answer.

Answer:

I think the answer is B

Step-by-step explanation:

She divided the numbers wrong

Answer:

A=82

C=83

X+y=60

X=30+50+80

X=80

The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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72 is the probability that all three balls are yellow.

What does a probability simple definition entail?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

                            The possibility of the result of any random event is referred to as probability. To determine the likelihood that any event will occur is the definition of this phrase.

Total number of balls equals 9.

                            = ⁹c₃

                       = 9!/(9 - 3)! 3!

                         = 72

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Answer:

a(1):30%

(2):2135.34

(3):15000

Step-by-step explanation:

a(1):the total is 18750 and 5625 was not taxed therefore 5625 of 18750 was not taxed so get the amount expressed as a percentage by multiplying by 100

{5625/18750}×100

(2):so get the tax from the taxable amount and the taxable amount is 13125 and the tax is 22% of it so (22/100)×13125=2887.5

she takes home the amount remaining after taxation so 18750-2887.5(tax)(don't subtract 5625)=15862.5

she receives the above amount in 52 equal amounts so divide 15862.5/52 to get one amount =305.048 (meaning that per week she receives one of the 52 equal amounts I guess)

(3):so the original salary before moving to A was 100% but after moving it increases by 25 so the salary is 125% =18750(don't deduct tax I guess) so it will be (100/125)×18750

The bond is selling at a premium of $76.05.

The annual coupon payment for the bond is $50, and the bond has a maturity value of $1500. The bond is purchased to yield 4% annually, so the required rate of return is 4%.

We can calculate the present value of the bond using the formula:

\(PV = (C / r) x (1 - 1 / (1 + r)^n) + FV / (1 + r)^n\)

where PV is the present value, C is the annual coupon payment, r is the required rate of return, n is the number of years until maturity, and FV is the maturity value.

Plugging in the values, we get:

PV = (50 / 0.04) x (1 - 1 / (1 + 0.04)¹⁰) + 1500 / (1 + 0.04)¹⁰

PV = $1,076.05

The par value of the bond is $1,000, which is less than the present value of the bond ($1,076.05), so the bond is selling at a premium.

The amount of premium is the difference between the present value and the par value: Premium = $1,076.05 - $1,000 = $76.05

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(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

In an exponential distribution with a mean lifetime of 7.6 years for light bulbs, 85% of all light bulbs will last at least 10.678 years. The correct option is OD.

The exponential distribution is commonly used to model the lifetimes of products, including light bulbs. The mean lifetime of 7.6 years indicates that, on average, a light bulb will burn out after 7.6 years. In an exponential distribution, the probability of a light bulb lasting at least a certain amount of time can be calculated using the cumulative distribution function (CDF).

To determine the time at which 85% of all light bulbs will last at least, we need to find the value at which the CDF equals 0.85. Using the exponential distribution formula, we can calculate this value. In this case, we need to find the time T such that P(X ≥ T) = 0.85, where X represents the lifetime of a light bulb.

Using the formula P(X ≥ T) = 1 - \(e^(-λT\)), where λ is the rate parameter (λ = 1/mean lifetime), we can substitute the values to solve for T. In this case, λ = 1/7.6. By solving the equation 1 - \(e^(-λT\)) = 0.85 for T, we find that T ≈ 10.678 years. Therefore, 85% of all light bulbs will last at least 10.678 years, corresponding to option OD .

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Answer:

sqrt (233)

Step-by-step explanation:

Use pythagorean theorem

a^2 + b^2 = hypotenuse^2

8^2 + 13^2 = hypot^2

233 = hypot ^2          hypot = sqrt 233

Answer:

C'(4, 14)

Step-by-step explanation:

The measurement deviates from the mean by more than 100 standard deviations.

It's a way to gauge how widely apart each data point is from the mean. The standard deviation formula comes in two different forms: Standard deviation for the population When you can measure the entire population or the entire collection of data, you use the population version of the formula. Experts in statistics have determined that measurements that fall within a 2 SD range of the true value are more accurate than those that do not..

based on the facts provided;

the average population, =100

The standard deviation for the population

σ=10

Z score:

Z=X−μσ

X:The measurement.

The number of standard deviations the measurement is from the mean:

We are not given the measurement. So, assuming the measurement is equal to 139.

When

X=139

Z=139−100/10

=3.9

It implies that the measurement of

139 is 3.9

standard deviation above the mean of 100;

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There is a discount of 12% and a sales tax of 7% is added to the discounted amount. So the total amount Ellen has to pay will be $75.32.

Here we have to decrease the amount discounted, and then to that amount we have to add the sales tax.

At first, let us calculate the amount discounted.

The initial cost of the tennis racquet = $79.99

The percentage discount = 12%

The amount discounted = 79.99 ×12/ 100 = 9.5988 = 9.60

The cost after the discount = 79.99 - 9.60 = $70.39

Now the cost is $70.39. We have to find the sales tax for this amount.

Percentage of sales tax = 7%

Amount to pay as sales tax = 70.39 × 7/100 = 4.9273 = 4.93

Total amount to pay, including sales tax = 70.39+ 4.93 = 75.32

So the final amount after the discount and including sales tax will be $75.32.

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The correct answer is option  c. Interval. The level of measurement for the data set described is Interval.

This is so because the data set calculates each student's enrollment in classes during the course of a semester at a particular college.

Numerical information that is measured on a scale with evenly spaced intervals but lacks an absolute zero point is called interval data.

The numerical values themselves do not reflect quantities or have any absolute value, but the intervals between them all have the same size.

The interval between 3 classes and 4 classes, for instance, would be the same as the interval between 8 classes and 9 classes if the data set were measuring the number of classes each student took in a semester, but 3 classes and 8 classes do not have any such absolute value.

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Answer:

The answer is c

Hope this helped :)

The value of x in the heptagon shown in the diagram is: 110°.

A heptagon can be described as a polygon that has 7 sides and 7 interior angles. Where n is the number of sides of an n-sided polygon, the formula for finding the total sum of the polygon is:

(n - 2)180.

Therefore, the sum of the interior angles of the heptagon = (5 - 2)180 = 900°.

This means that all the angles in the heptagon shown in the diagram would be equal to 900°. Therefore:

135 + 125 + 105 + 140 + 135 + 150 + x = 900

790 + x = 900

x = 900 - 790

x = 110°.

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Answer:

m=2

Step-by-step explanation:

(1,2), (2,4)

4-2/2-1

2/1

m=2

A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

By answering the above question, we may state that Thus, there equation  were 27 Buffalo Soldiers awarded the Medal of Honor during this time.

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical proposition that proves the equality of two formulae is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the connection that exists between the two phrases that have been written on opposite sides of a letter. Most of the time, the logos and the particular software match. like in 2x - 4 = 2, for example.

the formula

882 = b + 855

The overall number of Medal of Honor winners (882) is calculated by adding the number of Buffalo Soldiers who got the award (b) to the number of other recipients (855).

By removing 855 from both sides of the equation, we may concentrate the solution for b on just one side:

882 - 855 = b

27 = b

Thus, there were 27 Buffalo Soldiers awarded the Medal of Honor during this time.

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The radius οf the dilated lοgο will be apprοximately 8.66 feet.

The scale factοr is a number that represents the ratiο οf the cοrrespοnding side lengths οf twο similar figures. It can be used tο enlarge οr reduce the size οf a figure by a certain percentage οr factοr.

The area οf the lοgο is given as 5 square feet, and the radius οf the lοgο is 1.25 feet.

Therefοre, we can find the scale factοr as fοllοws:

k = √(A/5) = √(240/5) = √48 ≈ 6.93

Sο the scale factοr is apprοximately 6.93. Tο find the radius οf the dilated lοgο, we multiply the οriginal radius by the scale factοr:

r' = kr = 6.93(1.25) = 8.66

Hence, the radius οf the dilated lοgο will be apprοximately 8.66 feet.

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To find the Maclaurin series for the given function f(x) = ln(1 + x^9), we can use the known Maclaurin series expansion for the natural logarithm function:

ln(1 + t) = t - (t^2)/2 + (t^3)/3 - (t^4)/4 + ...

Let's substitute t = x^9 into the formula and expand the series:

f(x) = ln(1 + x^9)

= x^9 - (x^9)^2/2 + (x^9)^3/3 - (x^9)^4/4 + ...

Simplifying the terms, we have:

f(x) = x^9 - x^18/2 + x^27/3 - x^36/4 + ...

Therefore, the Maclaurin series for f(x) = ln(1 + x^9) is:

f(x) = ∑ ((-1)^(n+1) * x^(9n))/(n), where n goes from 1 to infinity.

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Step-by-step explanation:

(a3/2)3

(a3)3/(2)3

a9/8

Hope it is helpful for you

If Mark and jada share 5 yards of ribbon equally, then each one will get 2.5 yards of ribbon using division method.

When Mark and Jada share 5 yards of ribbon equally, it means that they will divide the total amount of ribbon equally between the two of them. This is a common type of problem in mathematics that involves dividing a given quantity equally among a certain number of people or objects.

To solve this problem, we used the division operation to divide the total amount of ribbon (5 yards) by the number of people who are sharing it (2). The resulting quotient (2.5 yards) represents the amount of ribbon that each person will receive.

Using the division operation, we can write,

5 yards ÷ 2 = 2.5 yards

This problem illustrates an important concept in mathematics: the division of quantities into equal parts. This concept is used in many real-world applications, such as dividing up a pizza among a group of people or allocating resources in a company among different departments or teams.

Understanding how to divide quantities into equal parts is an important skill that can be applied in many different contexts, making it a valuable mathematical concept to learn and understand.

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Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3