can someone please answer this?

The events that correspond to each case are given as follows:

a) Exactly one odd number: OEE, EOE, EEO.

b) More odd numbers than even numbers: OOO, OOE, OEO, EOO.

c) Two or more odd numbers: OOO, OOE, OEO, EOO.

Hence the probabilities of each event are given as follows:

a) Exactly one odd number: 3/8.

b) More odd numbers than even numbers: 1/2.

c) Two or more odd numbers: 1/2.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have three trials, each with two possible outcomes, hence the total number of outcomes is given as follows:

2³ = 8.

The meaning of the letters is given as follows:

Hence, for example, the event OEE means that an odd number was taken, then an even number and then another even number.

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Answer:

value of x is 13.5 inches.

hope this answer helps you dear....take care!

perimeter = 2l + 2b too and it is also

2 ( l + b )

→ 2l + 2b

breadth and width are same!

The perimeter of a rectangle is the sum of all sides of the rectangle. The value of x in the given rectangle is 13.5

Given that:

\(L = 3x + 5\) --- Length

\(W = x - 9\) --- Width

\(P = 100\) --- Perimeter

We have:

\(P = 2l + 2w\)

So, the expression becomes

\(100 = 2 \times(3x + 5) + 2 \times (x - 9)\)

Divide through by 2

\(50 = 3x + 5 + x - 9\)

Collect like terms

\(3x + x = 50 - 5 + 9\)

\(4x = 54\)

Divide through by 4

\(x = 13.5\)

Hence, the value of x is 13.5

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Answer:

Step-by-step explanation:

The length of the ladder is the length of the hypotenuse of the right triangle formed. Since the height up the building is based on the distance the ladder is from the base of the building, and that distance is x, then the height up the building is x + 7. So what we have is a right triangle with one leg measuring x, the other leg measuring x + 7, and the hypotenuse measuring 13. Set up using Pythagorean's Theorem:

\(13^2=(x+7)^2+x^2\) and do some simplifying. The left side is easy since 13-squared is 169; the right side not so much. We first have to expand that set of parenthesis by multiplying x + 7 by itself twice to get a second degree polynomial:

\((x+7)(x+7)=x^2+14x+49\) and now we have:

\(169=x^2+14x+49+x^2\) which simplifies down a bit to

\(169=2x^2+14x+49\)

The only way to solve this for x, the height up the side of the building, is to factor. In order to do that, everything has to be on one side of the equals sign, setting the whole messy thing equal to 0:

\(2x^2+14x+49-169=0\) and

\(2x^2+14x-120=0\). Begin by factoring out a 2:

\(2(x^2+7x-60)=0\) and then factor the remaining quadratic using whatever method you are currently using in class to solve for x. Doing this will give that

x = -12 and 5. Since a side length will never be negative, we determine that x = 5 which is the distance between the bases of the buildings, and the height up the building where the ladder hits it is 12.

Population parameters are used to estimate sample statistics, and this is true.

Population parameters are used to describe the characteristics of a population, such as the mean, median, and standard deviation, and are used to make inferences about a population. Sample statistics, on the other hand, are used to describe the characteristics of a sample of a population. For example, a sample statistic could be the mean of a sample of people's heights.

To estimate sample statistics, population parameters must first be known. For example, the sample mean can be estimated using the population mean. If the population means are unknown, then the sample means can be estimated using the sample mean.

In conclusion, population parameters are used to estimate sample statistics, and this is true. Population parameters provide useful information about a population that can be used to make inferences about a sample. Knowing the population parameters allows researchers to make more accurate estimates of sample statistics, which in turn can be used to make more reliable inferences about a population.

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Answer:

10.4

Step-by-step explanation:

m² =10²+3² = 109

so m =√109 = 10.4

Please give Brainiest.

Answer:

First, subtract the budgeted amount from the actual expense. If this expense was over budget, then the result will be positive. Next, divide that number by the original budgeted amount and then multiply the result by 100 to get the percentage over budget.

I hope that helps.

Two non congruent circles intersect at two distinct points.

Point of intersection is the point where two lines or two curves meet each other. The point of intersection of two lines of two curves is a point. If two planes meet each other then the point of intersection is a line. More precisely it is defined as the common point of both the lines or curves that satisfy both the curves which can be derived by solving the equation of the curves

Two circles intersect at two distinct points.

Two straight lines intersect at one point.

One circle and one straight line intersect at two distinct points.

Then the total numbers of points of intersections are as follows:

1)Two straight lines: 5c2×1=10

2)Two circle:4c2×2=12

3)One line and one circle:5c1×4c1×2=40

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Answer:1 3 6

Step-by-step explanation:

Given: Mary, Gracie, and Nancy all have little collections of seashells, but Gracie has 5 more than 14 times as many as Mary does. So Mary has 16 shells

To find: Recognize the equation that captures this circumstance and recognize its resolution.

olution:

Let x be mary's shells, so according to question, we get:

gracie = 14x + 5   nancy  = 1 x+ 1

Now we have given that:

          gracie = nancy

So: 14x + 5 = 1 x + 1

  5/4x + 5 = 3/2x + 1

Fractions will be eliminated by multiplying by the common denominator of 4, but this step is optional; you can still work with fractions if you choose.

Now solving further, we get:

        5x + 20 = 6x + 4  5x - 6x = 4 - 20    -x = - 16    x = 16.

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The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ

where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.

In this case, we have r(θ) = e^5θ, so:

dr(θ)/dθ = 5e^5θ

Plugging these into the arc length formula, we get:

L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ

Simplifying the integrand, we have:

L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ

L = ∫[0,2π] √(26e^10θ) dθ

L = √26 ∫[0,2π] e^5θ dθ

Using the formula for the integral of e^x, we get:

L = √26 [e^5θ / 5] |_0^(2π)

L = √26 [(e^10π - 1) / 5]

So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

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Answer:

smallest  to greatest

9.2x10^-8

5.44x10^-2

5.8x 10^-2

2.4x10^3

Step-by-step explanation:

Considering the definition of zeros of the quadratic function, the zeros of the function f(x) = x³ + 14x² + 29x are 0, -7-√80÷2 and -7+√80÷2.

The points where a function crosses the axis of the independent term (x) represent the zeros of the function.

That is, the zeros represent the roots of the equation that is obtained by making f(x)=0.

In summary, the roots or zeros of a function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the function intersects the x-axis.

In a quadratic function that has the form f(x)= ax² + bx + c the zeros or roots are calculated by:

\(x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}\)

The quadratic function is f(x) = x³ + 14x² + 29x

Since the term "x" is found in all the terms, it is extracted from the polynomial and is obtained:

f(x) = x(x² + 14x + 29), where one of the zeros of the function is zero.

Being for x² + 14x + 29:

a= 1

b=14

c=29

the zeros or roots are calculated as:

\(x1=\frac{-14+\sqrt{14^{2}-4x1x29 } }{2x1}\)

\(x1=\frac{-14+\sqrt{80 } }{2}\)

\(x1=-7+\frac{\sqrt{80 } }{2}\)

and

\(x2=\frac{-14-\sqrt{14^{2}-4x1x29 } }{2x1}\)

\(x2=\frac{-14-\sqrt{80 } }{2}\)

\(x2=-7-\frac{\sqrt{80 } }{2}\)

Finally, you get f(x) = x³ + 14x² + 29x= (x + 7 - √80÷2)(x + 7 + √80÷2) and the zeros of the function f(x) = 2x² + 16x – 9 are 0, -7-√80÷2 and -7+√80÷2.

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Mrs. Downey is responsible for paying at most $50 of the unauthorized charge for the $1,124 watch.

We have,

The Truth-in-Lending Act is a federal law in the United States that provides certain protections to consumers in credit transactions.

One of the provisions of this act is the limitation of liability for unauthorized charges on a stolen credit card.

According to the Truth-in-Lending Act,

If a credit card is stolen and unauthorized charges are made on it, the cardholder's liability for those charges is limited to a maximum of $50.

This means that even if the thief charged a significant amount, such as $1,124 for a watch, the cardholder is only responsible for paying up to $50 of that unauthorized charge.

So,

The maximum liability for unauthorized charges on a stolen credit card is $50.

Therefore,

Mrs. Downey is responsible for paying at most $50 of the unauthorized charge for the $1,124 watch.

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Answer:

m<ABD = 24°

m<DBC = 119°

Step-by-step explanation:

m<ABD + m<DBC = m<ABC

2x - 40 + 3x + 23 = 143

5x - 17 = 143

5x = 160

x = 32

m<ABD = 2x - 40 = 2(32) - 40 = 24

m<ABD = 24°

m<DBC = 3x + 23 = 3(32) + 23 = 119

m<DBC = 119°

The running back gained a total of 80.3 yards during the game.

In the first half of the game, the running back gained 12.1 yards per carry on a total of 8 runs. So the total yards gained in the first half is:

12.1 yards/carry x 8 carries = 96.8 yards

In the second half of the game, the running back had a net loss of 16.5 yards. This means that the running back lost 16.5 yards during the second half.

To find the total yards gained during the game, we can add the yards gained in the first half to the yards gained/lost in the second half:

Total yards gained = Yards gained in the first half + Yards gained/lost in the second half

Total yards gained = 96.8 yards - 16.5 yards

Total yards gained = 80.3 yards

Therefore, the running back gained a total of 80.3 yards during the game.

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Answer:

B

Step-by-step explanation:

Ranking of the events below in the correct order from least likely to most likely are:

Event B

Event A

Event C

The probability of an event is defined as a number that describes the chance that the event will eventually happen. An event that is sure to happen has a probability of 1. An event that can never possibly happen has a probability of zero. Finally, If there is a chance that an event will happen, then it will have a probability that is between zero and 1.

i) Arrow lands on a section labeled with an odd number: The odd numbers here are 1 and 3.

There are a total of four 1's, and two 3's. This tells us that there are 6 odd numbers on the spinner.

There are 8 numbers in total on the spinner. Thus, 6 out of the 8 numbers are seen as odd numbers. Therefore, the probability that the arrow lands on an odd number would be:

P(odd number) = 6/8 =  75%

ii) Arrow lands on a section labeled with the number 1: There are four 1's on the spinner, and there are seen to be 8 numbers in total on the spinner. Thus, the probability of the arrow landing on a 1 is:

P(Number 1) = 4/8 = 50%.

iii) Arrow lands on a section labeled with a number less than 4:

The numbers that are less than 4 are 3, 2, and 1.

There are two 3's.

There is one 2.

There are four 1's.

2 + 1 + 4 = 7.

The probability of the arrow landing on a number less than 4 is 7/8, which is 88.5%.

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The exact numerical value of the expressions given cannot be determined without additional information or clarification.

The given expressions involve various calculations and summations involving complex numbers and exponentials. However, the specific values of the variables, such as V, k, n, or t, are not provided. Additionally, the patterns or series mentioned in the expressions are not clearly defined.

To determine the exact numerical values, we would need more information, such as the values of V, k, n, or t, and the specific patterns or rules for the series mentioned. Without these details, it is not possible to calculate the exact numerical values of the expressions.

Therefore, based on the given information, the exact numerical values cannot be determined, and additional clarification or information is required to solve the expressions.

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In order to determine the value of p(3/4), we just have to replace 3/4 for x, like this:

Then, we just have to simplify this expression to determine the vapue of p(3/4), like this:

By multiplying the denominator and numerator of the second fraction by 2 we can make the the denominator 8 and add the two fractions:

Similarly, by multipling by 8 and dividing by 8 the last term, -9, we get:

Then, th answer is:

Answer:

1. false

2. true

Step-by-step explanation:

hope thi helps

The slant height of the solid cone with a base radius of 8 m and a surface area of 850 m² is approximately 13.62 m.

We have,

To find the slant height of a solid cone, we need to use the formula for the surface area of a cone.

The formula for the surface area of a cone is given by:

Surface Area = πr(r + l)

Where:

r is the base radius of the cone

l is the slant height of the cone

We are given that the base radius (r) is 8 m, and the surface area is 850 m².

Let's substitute these values into the formula and solve for the slant height (l):

850 = π x 8(8 + l)

850 = 64π + πl

To isolate the term with l, we subtract 64π from both sides:

850 - 64π = πl

Now, we divide both sides by π to solve for l:

l = (850 - 64π) / π

Using a calculator, we can find the numerical value of l:

l ≈ 13.62 m

Therefore,

The slant height of the solid cone with a base radius of 8 m and a surface area of 850 m² is approximately 13.62 m.

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The same financial document number range can be assigned to several document types. Financial document number ranges defined at client level should NOT overlap. Financial document number ranges are defined at company code level.

Financial statements are official records of a person, business, or other entity's financial situation and actions. An easy-to-understand style is used to provide pertinent financial data in a systematic manner. Financial papers, usually referred to as financial statements, are used to present financial data about an organization in a consistent way. They come with a cash flow statement, an income statement, and a balance sheet. A balance sheet is a moment in time snapshot of your company's financial health.

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The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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Answer:

SOH CAH TOA

Step-by-step explanation:

SOH: Sin(θ) = Opposite / Hypotenuse. 

CAH: Cos(θ) = Adjacent / Hypotenuse.

 TOA: Tan(θ) = Opposite / Adjacent.

I hope this helps

To accumulate $2,176,097.00 in his retirement account by age 65, Derek needs to make annual deposits of $5,000.00 starting on his 27th birthday and ending on his 65th birthday, assuming an 8.00% interest rate.

To determine the annual deposits Derek needs to make, we can use the future value of an ordinary annuity formula. First, we calculate the number of years between Derek's 25th and 65th birthdays, which is 65 - 25 = 40 years. Next, we calculate the future value of the retirement account using the given interest rate of 8.00%. Using the formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, the future value is $2,176,097.00, the interest rate is 8.00%, and the number of periods is 40. We can rearrange the formula to solve for the present value:Present Value = Future Value / (1 + interest rate)^number of periods

Substituting the values:Present Value = $2,176,097.00 / (1 + 0.08)^40 = $123,529.31 (rounded to 2 decimal places)

Now, we need to find the annual deposit amount. Since Derek starts making deposits on his 27th birthday and ends on his 65th birthday, he makes deposits for 65 - 27 = 38 years.Annual Deposit = Present Value / ((1 + interest rate)^number of periods - 1)Substituting the values:

Annual Deposit = $123,529.31 / ((1 + 0.08)^38 - 1) = $5,000.00 (rounded to 2 decimal places)Therefore, Derek must make annual deposits of $5,000.00 into his retirement account starting on his 27th birthday and ending on his 65th birthday to accumulate $2,176,097.00 by the time he turns 65.

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Answer:

26.226

Step-by-step explanation:

The inequality best describes the number of paperback books 'p' and the number of hardback books 'h' that can be purchased for $45.00 or less

is 5p + 9h ≤ 45.  

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Two types of books paperbacks are represented by 'p', and hardbacks are represented by 'h'.

Also, we can only buy two types of books for $45 or less.

Therefore, The inequality representing the context is,

5p + 9h ≤ 45.  (As the cost van be $45 or less not only less)

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Answer: