4. The two legs of a right triangle are equal and the square of its hypotenuse is 50. Find the
length of each leg.​

The probability of this occurring is around 0.0714.

In order to determine the likelihood that an adolescent would play the lead role in each of Britney's four films, we must take into account both the total number of possible outcomes and the number of favourable possibilities.

There are 8 films scheduled in total.

Five films have had a teenager as the primary character.

Calculating the ratio of the number of favourable outcomes—all four films with teenagers—to the entire number of possible outcomes—any four films—will help us determine the probability.

The combination formula, sometimes referred to as "n choose r," shows how many different methods there are to choose 4 films from the available 8 options:

\(C(n, r) = n! / (r! * (n - r)!)\)

In this case, we want to select 4 movies out of the 5 movies featuring a teenager:

\(C(5, 4) = 5! / (4! * (5 - 4)!) = 5\)

The total number of ways to select any 4 movies out of the 8 total movies is:

\(C(8, 4) = 8! / (4! * (8 - 4)!) = 70\)

Therefore, the likelihood that a teenager will play the lead role in each of the four films that Britney cleans up after is:

Probability is calculated as follows: 5 / 70 (rounded to four decimal places) = 0.0714 (Number of favourable outcomes / Total number of probable outcomes).

Therefore, the chance is around 0.0714.

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Answer:

its (90,60) i took the test and got it right hope this helps :)

Step-by-step explanation:

Answer:

90,60 got a 100% on my test

Step-by-step explanation:

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

$2010.458 is her new balance after she makes one new transaction for $51.

What does a credit balance mean?

The amount that the credit card company owes you is shown as a credit balance on your billing statement. Each payment you make results in credits being added to your account.

                                   When you return something you purchased with your credit card, you can receive an additional credit.

Credit balance  = $1,603

   APR = 28.6%

        = 28.6%  * $1,603

         =   458.458

Credit balance  = $1,603 + 458.458

                        = $2061.458

  net balance =  $2061.458 - 51

                      = $2010.458

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Answer:

\(\dfrac{y^2}{225} -\dfrac{x^2}{216}=1\)

Step-by-step explanation:

For a hyperbolic mirror the two foci are 42 cm apart.

The distance between the foci = 2c.

Therefore:

The distance of the vertex from one focus = 6 cm

The distance of the vertex from the other focus = 36 cm

2a=36-6=30

Now:

\(c^2=a^2+b^2\\21^2=15^2+b^2\\b^2=21^2-15^2\\b^2=216\\b=6\sqrt{6}\)

If the transverse axis lies on the y-axis, and the hyperbola is centered at the origin. Then the hyperbola has an equation of the form:

\(\dfrac{y^2}{a^2} -\dfrac{x^2}{b^2}=1\)

Therefore, the equation of the hyperbola is:

\(\dfrac{y^2}{225} -\dfrac{x^2}{216}=1\)

Answer: So, the sales tax on the item is $49.

Step-by-step explanation:

The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:

Sales tax amount = $350 * 14% = $350 * 0.14 = $49

So, the sales tax on the item is $49.

àaaaaaaaaaaaass la verdad no se

Answer: 142

Step-by-step explanation:

94 + 48 = ang 1

142 = ang 1

Answer:

D

Step-by-step explanation:

1 2/3÷4/5

=5/3×5/4

=25/12

2 and 1 over 12

Answer:

364 miles

Step-by-step explanation:

                               Rate        Time         Distance

Flight #1                 260             x               260x

Flight #2                 140           4-x           140(4-x)

Because each flight was to or from the same airports the distance traveled by flight #1 and flight #2 must be the same. This means that you can set the two calculated distances equal to each other.

260x = 140(4-x)

260x = 560 - 140x

400x = 560

      x = 1.4 hours      This is the amount of time flight 1 spent in the air.

now we can use this and plug it into the distance formula (260x) to find the distance

260(1.4) = 364

so the distance between the two airports is 364 miles

The basic interest rate that will be earned, according to the information provided, is 13.6%.

Interest is the cost of borrowing money or the fee you charge to lend it. Most frequently, interest is shown as an annual percentage of the loan amount. The interest rate for the loan is denoted by this proportion.

The basic interest rate that will be earned, according to the information provided, is 13.6%.

Principal is $5250.

Simple Interest is $6500-$5250, or $1250.

21 months is 1.75 years.

PRT / 100 is a formula for simple interest.

1250 = (5250 × 1.75 × R) / 100

the cross-multiply

125000 = 9187.5R

R = 125000 / 9187.5

R = 13.6%.

The complete question is,

What annual simple interest rate will you receive if you pay $5,250 for a simple interest note with a 21-month maturity of $6,500?

12.4% \s13.6%

15.8% \s14.3%.

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Answer:

a. lines intersecting at a single point

b. one solution

Step-by-step explanation:

a. The equations can be rewritten as:

y = -5x+23 and y = -1/6x+1

Comparing the equations with standard equation: y=mx+c, where m is the gradient of the line formed by the linear equation.

Since the gradient of the lines are different then the lines cannot be parallel and will intersent at one point.

b. The equation will have one solution as below.

The equations can be rewritten as:

5x+y=23

5x+30y=30

Subtracting both equation will result in,

29y=7

=> y=7/29

Hence x= 660/29

The type of partnership that is characterized by the limited liability of all partners is the limited liability partnership.

A limited liability partnership has a statutory fund divided into shares, the size of which is determined by the statutory documents, and is liable for obligations only within the limits of its contribution.

The supreme governing body is the Board of Directors. When resolving issues at a meeting of participants, the number of votes is determined in proportion to the size of each participant's share in the statutory fund.  

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Answer:

Here are ALL of the answers to this quick check.

Step-by-step explanation:

1. limited liability partnership

2. Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.

3. Jonah signs a purchase agreement with a supplier while Jaycee agrees to hire a marketing firm to drum up business.

4. When Jonathan and his friend pool their resources, the business will likely grow faster than it otherwise would; however, Jonathan will lose some of the control over decision-making that he currently enjoys.

5. partners usually draw up legal papers called articles of partnership.

partners usually draw up legal papers called articles of partnership.

I just took this and got 5/5 hope this helps :)

Answer:

You never said how much money belle's dad had in the first place there not enough information

Step-by-step explanation:

(10 + 15) - x

Answer:

5x+16

Step-by-step explanation:

distributive property

2x+12+3x+4

combine like terms

5x+16

Answer:

5x+16

Step-by-step explanation:

2 (x+6) + 3x + 4 =

First distribute

2*x  + 2*6 + 3x+4

2x+12 +3x+4

Then combine like terms

2x+3x + 12+4

5x+16

Answer: (-4, 5, 21)

Step-by-step explanation: the domain is the x-values and the range is the y-values.

Answer:

120 centimeters cubed

Step-by-step explanation:

You don't even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)

After answering the provided question, we can conclude that The slope answer is not listed as a choice, but this is the correct equation.

In mathematics, slope is the slope of the regression of a line or curve. It is a measure of the degree to which a function's y-value varies once the x-value changes. A line's slope is usually expressed as a letter m and is able to be calculated as follows: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) is some two important points on the line. The slope of a line can be favorable, negative, equal to 0, or unknown. A positive slope means the line rises up from left to right, whereas a slope means the line falls back from left to right.

To find the equation of the line passing through the point (4,-5) with slope 2, we can use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-5) = 2(x - 4)

y + 5 = 2x - 8

y = 2x - 13

y = 2x - 13

The answer is not listed as a choice, but this is the correct equation.

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Answer: The two numerical expressions that correctly represent the phrase "twice the sum of nine and four" are:

2 * (9 + 4) = 2 * 13 = 26

2(9 + 4) = 2(13) = 26

Both expressions use the correct mathematical operations to represent the phrase "twice the sum of nine and four" and both will yield the same result of 26.

Step-by-step explanation:

Answer:

1,305

Step-by-step explanation:

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Find slope of both

#1

\(\\ \tt\hookrightarrow m=\dfrac{4-2}{22-11}=\dfrac{2}{11}=1.8\)

#2

\(\\ \tt\hookrightarrow m=\dfrac{1-0}{5-0}=\dfrac{1}{5}=0.2\)

Option C is correct

Answer:

absolutely yes, because pythagorean theorem is used in a right triangle

and when we match a line from the tee to the hole, we have a right triangle

Step-by-step explanation:

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer: 7/39

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator GCD of 7 and 39 is 1

Divide both the numerator and denominator by the GCD 7 ÷ 1 39 ÷ 1

Reduced fraction: 7 39 Therefore, 7/39 simplified to lowest terms is 7/39.

Answer:

somone in my class is literaly a new York rat

Step-by-step explanation:

a. To find the best estimate for the percentage of people who were affected, we need to divide the affected people by the total population and multiply by 100%. Let's see:

The best estimate for the percentage of people who were affected is about 0.1%

b. To complete the statement, apply the proportion:

Solve for x:

Approximately 86 out of every 100,000 people in the United States were affected by the 1994 salmonella outbreak.