Esme plans to flip a fair coin 3 times and record the results of each flip. What is the probability that the coin lands with the heads side up on all 3 flips? Enter your answer as a reduced fraction, using the / symbol, like this: 42/53

The probability that the ceo will have a salary in excess of $800,000 is given as follows:

0.0245 = 2.45%.

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

38 out of 1550 ceo's had salaries in excess of $800,000, hence the probability is obtained as follows:

p = 33

p = 0.0245 = 2.45%.

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Answer:

b is the answer because I don't know what to do with it and

Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

p(x) = 2(-3x+5)+2(x+4)

Substitution :

p(2) = 2(-3(2) +5) + 2(2+5)
= 2(-6 + 5) + 2 (7)
= 2(-1) + 2(7)
= -2 + 14
= 12

The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.

To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).

The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.

Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).

The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.

Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.

Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.

Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.

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Answer:

6060 feet

Step-by-step explanation:

6371-311=6060

The correct answer is option D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal.Researchers investigated whether there is a difference between two headache medications, R and S.

Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication.To construct a confidence interval, we require that some conditions are satisfied. The assumptions that should be met for inference with a confidence interval for the difference in population means are as follows:The data is independent;The data in each group should be roughly normally distributed;Both groups have the same variance, and each group should have a large enough sample size so that the central limit theorem (CLT) holds. The CLT holds for the difference in the sample means since both samples are taken from a population that is normally distributed. We can also assume that the sample size is large enough to use the t-distribution since each sample has more than 30 observations. As a result, all of the conditions have been met. As a result, we may employ a t-distribution to make inferences about the population difference between the two headache medications.

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The following are the values for the segments of the triangles:

4). a = 6.5

5). x = 2.7

6). x = 7.8 and y = 7.2

Using the proportionality theorem for calculating for the triangle segments as follows:

4). YZ/ZW = XY/XW

a/12 = 12/22

a = (12 × 12)/22 {cross multiplication}

a = 6.2

5). BC/CD = AB/AD

x/(7 - x) = 5/8

8x = 5(7 - x) {cross multiplication}

8x = 35 - 5x

8x + 5x = 35

13x = 35

x = 2.7

6). KL/LM = NK/NM

y/(15 - y) = 23/25

25y = 23(15 - y)

25y + 23y = 345

48y = 345

y = 7.2

x = LM so;

x = 15 - y

x = 15 - 7.2 = 7.8.

Therefore, the values for the segments of the triangles are:

4). a = 6.5

5). x = 2.7

6). x = 7.8 and y = 7.2

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Answer:

The porch is 17 ft by 17 ft

Step-by-step explanation:

The perimeter of a square is

P = 4s where s is the side length

P = 4( 3x+2)

P = 12x+8

We know P = 14x-2

14x-2 = 12x+8

Subtract 12x from each side

14x-2 -12x = 12x+8-12x

2x -2 = 8

Add 2 to each side

2x-2 +2 = 8+2

2x= 10

Divide by 2

2x/2 = 10/2

x = 5

The side  is 3x+2

                 3*5+2

                  15+2

                   17

The porch is 17 ft by 17 ft

Answer:

I got x = -7 I hope this helps

Answer:

X = -7

Explanation:

1) -5 = -3 + x/2

-10 = -3 + x

x = -10 + 3

x = -7

Answer:

  AB, CD

Step-by-step explanation:

Skew lines do not lie in the same plane, and do not intersect. One such pair is AB and CD.

__

Additional comment

Any of the lines, and any of the lines that intersect its diagonally-opposite edge will be skew lines.

For example, the opposite edge to line BC is line EG. Lines that intersect EG are ED, EF, GA, GH. All of those four lines are skew with respect to line BC.

The highest common factors of 64 and 96 is 32

Find the factors of 64 and 96 respectively

The common factors of 64 and 96 are 1, 2, 4, 8, 16, 32

Therefore, the highest common factors of 64 and 96 is 32

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The number of pennies they lose altogether is 288 pennies.

How to find the number of pennies they lost together?

Together, Katya and Mimi have 480 pennies in their piggy banks.

Therefore, there total amount of pennies is 480.

After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.

Therefore,

let

x = number of pennies Katya have

y = number of pennies Mimi have

Hence,

x + y = 480

x = 480

Katya pennies left = x - 1 / 2x = 1 / 2x

Mimi pennies left = y - 2 / 3 y = 1 / 3 y

1 / 2 x  = 1 / 3 y

2y = 3x

y = 3  / 2 x

Substitute the value in equation(i)

x + 3 / 2 x  = 480

2.5x = 480

x = 480 / 2.5

x = 192

Therefore,

192 + y = 480

y = 480 - 192

y = 288

The number of pennies they lose can be calculated as follows;

Katya losses = 1 / 2 × 192 = 96

Mimi losses = 2 / 3 × 288  = 192

Therefore, they lost 96 + 192 = 288 pennies altogether.

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Answer:

m<CAO = 56°

Step-by-step explanation:

Same-side interior angles are supplementary to each other, so take their sum and set them equal to 180 and solve for x:

2x + 3x + 40 = 180

5x + 40 = 180

5x = 140

x = 28

Plug x=28 into angle CAO:

CAO = 2(28) = 56°

Answer:

\(x+7<-3\)

Step-by-step explanation:

Sum = +

Less than = <

Merge all together accordingly you get ;

\(x +7<-3\)

If you solve the equation , you will get;

x<-10

Answer:

5

Step-by-step explanation:

The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.

Answer:

(A). 50°

Step-by-step explanation:

Answer:

2nd

Step-by-step explanation:

The expected value for the given Five possibilities is $6.

We have,

Payoffs of $2, $4, $6, $8, and $10.

Now,

We know that,

The expected value  \(=\Sigma (x*P(x))\)

i.e. The sum of product of possible outcome and each outcome.

Here, x = Each outcome

And

P(x) = Possible outcomes

So,

Probability of x (Px) \(=\frac{1}{5}\),

Now,

According to the above mentioned formula,

i.e.

The expected value  \(=\Sigma (x*P(x))\)

We get,

\(=\Sigma\ (\frac{1}{5} * 2) + (\frac{1}{5} * 4) + (\frac{1}{5} * 6) +(\frac{1}{5} * 8) +(\frac{1}{5} * 10)\)

On solving we get,

\(=\Sigma\ (0.4 + 0.8 + 1.2 + 1.6 + 2)\)

i.e.

The expected value = $6

So,

The expected value for given possibilities is $6.

Hence we can say that the expected value for the given Five possibilities is $6.

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Answer:

A

Step-by-step explanation:

p^-8q^-20 * p^8q^-10

=q^-30

=1/q^30

The radius of the base of the cone-shaped block is approximately 10.69 inches.

We can use the formula for the volume of a cone to find the radius of its base. The volume of a cone is given by the formula  :

V = (1/3)πr^2h

Where

We know that the volume of the cone-shaped block is 125 cubic inches, and we know the height is the same for all blocks. So we can solve for the radius:

125 = (1/3)πr^2h

125 = (1/3)πr^2h

375 = πr^2h

r^2 = 375/π

r ≈ 10.69

So we can conclude that the radius of the base of the cone-shaped block is approximately 10.69 inches.

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Note that given the above graph, the limit of j (x) as x approaches 3 is 4.

A line begins at an open circle (2, 6) on a coordinate plane and falls via (-2, 2), according to the query. (3, 6) is a full circle. A curve travels from a solid circle (2, 3) to an open circle (3, 4). A line (6, 5) connects the open and closed circles.

The graph shows that the function j(x) has a limit of 4 as the value of x approaches 3.

A graph is a diagram or graphical representation that organizes the portrayal of facts or values.

Note that the points on a graph are typically used to depict the relationships between two or more things.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image..

The 25th number in the arithmetic sequence is 197.

The sequence starts with the number 5 and counts by 8s. To find the 25th number in the sequence, we need to find the number that comes after the 24th number.

To do this, we can use the formula for the nth term of an arithmetic sequence, which is given by the formula:

aₙ = a₁ + (n - 1)d

In this case, a₁ is the first term of the sequence (5), n is the number of terms (25), and d is the common difference (8). Plugging these values into the formula, we get:

a₂₅ = 5 + (25 - 1) * 8

Simplifying this expression, we get:

a₂₅ = 5 + 24 * 8
    = 5 + 192
    = 197

Therefore, the 25th number in the sequence is 197.

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What is the question for this so I can answer it?

Answer:

Correct

Step-by-step explanation:

To isolate the variable of x, simply add 16 to 11 which is 27 and now it is set up as 4.5x=27 and 27/4.5, it = 6

Answer:

Gray and all are right.

Step-by-step explanation:

4.5x + 16 = 11.5

4.5x = 11.5 - 16

4.5x = -4,5

x = -4.5/4.5

x = -1

4.5x + 27 = -9

4.5x = -9 - 27

4.5x = -36

x = -36/4.5

x = -8

4.5x - 16 = 11

4.5x = 11 + 16

4.5x = 27

x = 27/4.5

x = 6

-4.5x + 27 = 45

-4.5x = 45 - 27

-4.5x = 18

x = 18/-4.5

x = -4

Daniel's method is incorrect, as the interquartile range is given by the difference between the third quartile and the first quartile.

The interquartile range of a data-set is by the difference of the 75th percentile(Q3) by the 25th percentile(Q1) of the data-set.

The quartiles are described as follows:

From this, we get that the quartiles are related to the median of the set, that is, neither is given by the highest and by the lowest values, hence the interquartile range is given by the difference between the third quartile and the first quartile.

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Suppose a basketball player has made 215 out of 322 free throws. If the player makes the next 2 free throws, you will be paid $32, otherwise, you pay $24. To find out how much you would expect to win or lose if this game is played 590 times, the first thing to do is to find the probability that the player will make the next two free throws.In order to find the probability that the player makes the next 2 free throws, the total number of free throws attempted is 322 + 2 = 324.

The probability that the player makes each free throw is equal to the ratio of the number of successful free throws to the total number of free throws attempted.Therefore, the probability that the player makes each free throw is215/322 = 0.6667 (rounded to four decimal places)The probability that the player will make the next 2 free throws is:0.6667 × 0.6667 = 0.4445 (rounded to four decimal places).

This means that the probability that the player misses at least one free throw is:1 − 0.4445 = 0.5555 (rounded to four decimal places)If you win, you get $32, while if you lose, you have to pay $24. This means that your expected value is given by the formula:E(X) = $32(0.4445) − $24(0.5555) = −$0.22Therefore, if you played this game 590 times, you would expect to lose a total of:$0.22 × 590 = -$129.80 (rounded to two decimal places)Note that since you are expected to lose, the value is negative.

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Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate y

5y = 20

y = 4

Step 6: Find x

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

Answer:

(23, 4)

Step-by-step explanation:

Begin by defining x.  

x - 5y = 3

x = 3 + 5y

Now substitute.

2(3 + 5y) - 5y = 26

6 + 10y - 5y = 26

5y = 20

y = 4

Now substitute y for 4.

x - 5y = 3

x - 5(4) = 3

x = 3 + 20

x = 23