Which is the simplest formula for working out probability

Answer:

The answer is acually 54.3

Step-by-st

Answer:

1:30

Step-by-step explanation:

($97.50 - $60) divided by $12.50

     37.50 divided by $12.50 = 3

 3 hours + 10:30 = 1:30

We have derived the given equation d/dt(cot(x)) = -csc^2(x) using the quotient rule and simplification d/dx(cot(x)) = -csc^2(x)

To derive the equation d/dt(cot(x)) = -csc^2(x) using the quotient rule, we start with the definition of the cotangent function:

cot(x) = cos(x) / sin(x)

Then, we can use the quotient rule to differentiate cot(x) with respect to x:

d/dx(cot(x)) = [sin(x) d/dx(cos(x)) - cos(x) d/dx(sin(x))] / [sin(x)]^2

Next, we use the trigonometric identities:

d/dx(cos(x)) = -sin(x)

d/dx(sin(x)) = cos(x)

Substituting these values and simplifying, we get:

d/dx(cot(x)) = [-sin(x) (-sin(x)) - cos(x) cos(x)] / [sin(x)]^2

= (sin^2(x) + cos^2(x)) / [sin(x)]^2

= 1 / sin^2(x)

Finally, we can use the identity:

csc^2(x) = 1 / sin^2(x)

To get:

d/dx(cot(x)) = -csc^2(x)

Therefore, we have derived the given equation using the quotient rule and simplification.

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Answer:

24 because every 1 cup of flour equals 24 number of cookies so it keeps on adding up eg. 6 cups of flour would equal 144 cookies.

Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

Answer:

B

Step-by-step explanation:

i took the quiz

Answer:

The answer is B 18ft

Step-by-step explanation: I took the test and i got 100%

Answer:

314

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

56/7

Answer:

$8

Step-by-step explanation:

56 divided by 7 is 8, making the unit price 8 dollars per ticket

The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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Answer:

9

Step-by-step explanation:

Answer:

The second one !!

Step-by-step explanation:

You always start from the origin... (0, 0) !! From the bottom of that function, from the origin, you would move to the right 1, down 4 in order to get where the graph is in the picture !!

i hope this made sense... have a good day !

Answer:

n=7

Step-by-step explanation:

13n+85=176

*Subtract 85 from both sides

13n+85-85=176-85

*Simplify

13n=91

*Divide both sides by 13

13n=91

13    13

*Simplify

n=7

Hope this helped :)

As per the asked equation the value of P(x<6) will be c=1

The probability of an event is always between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Given the information provided, P(x-1)=0.178, P(x>1)=0.822, it's not possible to calculate P(x<6) because the information provided doesn't give us the complete picture of the probability distribution function, also we don't know the type of distribution used to calculate the probabilities. So we can't infer anything about P(x<6) from the information given.

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Answer:

Step-by-step explanation:

the sum of interior angles is 180°

46 + 35 + 100 = 181

the answer is NO

Answer:

15+x=23

Step-by-step explanation:

The population of Gsylvania weasels will be approximately 2,700 in 2025.

Since the weasel population is growing at a rate proportional to its size, we can use the formula:

P(t) = P0 * e^(rt)

Where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.718.

Using the given information, we can first find the growth rate, r, by solving for it using the following equation:

r = ln(P1/P0) / (t1 - t0)

Where P1 is the population in 2019, P0 is the population in 2013, t1 is the year 2019, and t0 is the year 2013.

r = ln(1900/1400) / (2019-2013) = 0.088

Using this value of r, we can now find the population in 2025:

P(2025) = 1400 * e^(0.088 * (2025-2013)) = 2700

Therefore, the population of Gsylvania weasels is expected to be approximately 2,700 in 2025.

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8/36 = 2/9 represents the likelihood that the sum of the two rolled numbers is a perfect square.

 A fraction is a piece of the entire. The quantity is represented as a quotient by dividing the numerator by the denominator. Both are integers in a straightforward fraction. A fraction appears in a complex fraction's numerator or denominator. The numerator of a valid fraction is smaller than the denominator. Six times six is equal to 36 possible outcomes when two dice are rolled. Only 8 of these 36 possible outcomes—the result of two diced integers producing a perfect square—are beneficial for the occurrence of the essential occurrences. The six diagonal elements (a, a) from the sample space are shown here, along with two additional elements (1, 4) and (4, 1). probabilities are 8/36, or 2/9.

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The number of distinct initial possible pairings is determined by the formula (n/2) * ((n-2)/2) * ((n-4)/2) * ... * 1, where the number of terms in the product is (n-1)/2.

In a single-elimination ping-pong tournament, each player gets to play against every other player once. It is a type of tournament in which players are eliminated after losing once until there is only one winner.

The total number of games that need to be played in such a tournament is (n-1), since each game eliminates one player from the tournament.

As a result, we know that the number of games played in a single-elimination ping-pong tournament with n players is (n-1).

The possible pairings for the first game in the tournament are n/2, since the first player may be paired with any of the remaining n-1 players, the second player may be paired with any of the remaining n-2 players, and so on.

Then we may have (n-2)/2 possible pairings for the second game, (n-4)/2 possible pairings for the third game, and so on.

In general, we can see that there are (n-2k)/2 possible pairings for the k-th game.

Because a distinct tournament bracket is generated by each of these distinct initial pairings, the number of distinct initial pairings resulting in a distinct tournament bracket is given by:

(n/2) * ((n-2)/2) * ((n-4)/2) * ... * 1,

where the number of terms in the product is (n-1)/2

Since a distinct tournament bracket is generated by each of these distinct initial pairings, this formula calculates the number of distinct initial possible pairings resulting in a distinct tournament bracket.

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Answer:

How many students are in P.E? 90

How many are ONLY in P.E? 62

Step-by-step explanation:

How many students are in P.E?

200 students in 8th grade.

35=drama

75=cooking

200-110=90=PE.

How many are ONLY in P.E?

Within 90 students, 15 is also in drama, with 5 is also in cooking, and 8 is in all of 3. =28.

90-28=62

Hope this helps!

There are 200 dogs Roscoe groom if he worked for 40 hours.

What is working time?

A person's working time is the time they are engaged in paid work. Personal housework, childcare, and pet care are examples of unpaid work that is not included in the definition of the working week.

In most cases, when someone inquires about your working hours, you should first provide the start time before providing the time you leave for home.

From the given graph we can see that for each three hours the number of dogs are increased by 15.

So, for each one hour the number of dogs increased by 5.

For 18 hours the the number of dogs are 90.

After 18 hours to complete 40 hours we need 22 hours.

So, for 22 hours the number of dogs are

22 x 5 = 110.

Therefore, the total number of dogs worked for 40 hours are,

90 + 110 = 220.

Hence, there are 200 dogs Roscoe groom if he worked for 40 hours.

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Answer:

Step-by-step explanation:

1) rise= change in f(x)= 8-13= -5

2)run=change in x= -2-(-3)= 1

3) y-intercept (x=0)= -2

4) y=mx+c

   c(y-intercept)=-2 m=\(\frac{-5}{1}\)=-5

   f(x)=-5x-2

Answer:

Step-by-step explanation:

(-3, 13) (-2, 8)

(8 - 13)/(-2 + 3)= -5/1= -5

y - 13 = -5(x + 3

y - 13 = -5x - 15

y = -5x - 2

1. rise is -5

2. run is 1

3.  y-intercept is -2

4. f(x)= -5x - 2

If the given equations are true, then the value of x + z is 6.

Simultaneous equations or systems of equations are two or more equations in algebra that must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Consider the equations are true,

4x + 2y + 8z = 30                                                                    ------------(1)

3x + 2y + 7z = 24                                                                    ------------(2)

Now,

By subtracting equation (2) from equation (1) we get:

eq(1) - eq(2)

4x + 2y + 8z - ( 3x + 2y + 7z ) = 30 -24

4x + 2y + 8z - 3x - 2y - 7z = 6

( 4x - 3x ) + ( 2y - 2y ) + ( 8z - 7z ) = 6

x + 0 + z = 6

x + z =6

Therefore, assuming the equations to be true the value of x + z is equal to 6.

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Answer:

25x^10

Step-by-step explanation:

Answer: 25x^10

Step-by-step explanation:

Answer

Use the fact that 45 times 1/9 = 5. Them multiply by 8 to get the answer, 40.

Step-by-step explanation:

Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

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Answer: The sales tax is $36.79  

Step-by-step explanation:

Multiply the sales tax percent by the money to find how much the sale tax is.

7% * 525.50 = 36.785  which rounds to 36.79  to the nearest penny.

The required amount of sales tax for the refrigerator is $36.785.

As mentioned in the question, a refrigerator is priced at $525.50. There is a 7% sales tax rate. The sales tax for the refrigerator in dollars and cents is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The total price of the sales tax = $525.50
Sales tax is 7%,

sales tax= 525.50 × 7%
sales tax = $36.785

Thus, the required amount of sales tax for the refrigerator is $36.785.

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