A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents. How far should she travel in each descent?

Answer:

A. 1

\(1 + 10 = 11 \\ 1 - 10 = 9\)

Step-by-step explanation:

10+1=11

10-1=9

Based on the survey results, a reasonable estimate of the number of computers owned by residents in the town is between 2.02 (2.42 - 0.4) and 2.82 (2.42 + 0.4). The margin of error of ±0.4 indicates that the estimate is likely to be within this range.

Sure! So, the survey of 120 households in the town found that the average number of computers in a household was 2.42. However, because this was a sample survey and not a complete census of all households in the town, there is some level of uncertainty in the estimate.

The margin of error of +-0.4 means that we can be 95% confident interval that the true average number of computers in households in the town falls within the range of 2.02 (2.42 - 0.4) and 2.82 (2.42 + 0.4).

So, a reasonable estimate of the number of computers owned by residents in the town would be around 2.42, but with a range of 2.02 to 2.82.

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Answer: 34.35 343.5 3.3450 3,435 34​

Step-by-step explanation:

they are already in order from left to right

Answer:

The following is the order of the numbers from least to greatest:

3.3450

34​

34.35

343.5  

3,435

the inverse Laplace transform of 2s / (s^2 - 1) is 2cosh(t).

We want to find the inverse Laplace transform of:

2s / (s^2 - 1)

Using partial fraction decomposition, we can write:

2s / (s^2 - 1) = A/(s - 1) + B/(s + 1)

Multiplying both sides by the denominator, we get:

2s = A(s + 1) + B(s - 1)

Setting s = 1, we get:

2 = 2A

A = 1

Setting s = -1, we get:

-2 = -2B

B = 1

So we have:

2s / (s^2 - 1) = 1/(s - 1) + 1/(s + 1)

Taking the inverse Laplace transform of both sides, we get:

2 cosh t

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The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000

The 10 digits are 0, 1, 2, 3, 4, 5, 6,7, 8, 9. From these 10 digits 3 digits are selected.

Total number of ways of selecting a three-digit number = Number of ways of selecting a digit from 10 digits for each place(one's, ten's and hundred's place)

Thus a three-digit number can be selected in 10 x 10 x 10 = 1000 ways.

So there are 1000 possibilities for a three digit number.

From this only one choice matches exactly with the winning number.

So the number of favorable outcome = 1

Hence, The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000

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We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.

For P, what is the confidence interval at 95 percent?

Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.

What is the 95 percent confidence interval for the population's proportion of smokers?

Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.

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The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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The range between the moon's minimum and maximum temperature in degrees Fahrenheit is 640°F

From the question, we have

Time of Day     Temperature

   Day                 253°F

   Night              -387°F

the moon's minimum temperature =  -387°F

and maximum temperature =  253°F

range = 253 - (-387) =  640°F

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

Complete question:

The table shows the high temperature on the moon during the day and the overnight low temperature.

Time of Day Temperature

Day 253°F

Night –387°F

What is the range between the moon's minimum and maximum temperature in degrees Fahrenheit?

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Answer:

The diameter is two times the radius, or 2r. The radius of this circle is 7 inches, so the diameter is 2(7) = 14 inches. The diameter is 14 inches.

Step-by-step explanation:

The solution is

a) The number of days it will take for Oliver to complete the ultra marathon is approximately 1.99 days

b) The number of days it will take for Oliver to complete the ultra marathon is approximately 1.84 days and the number of days is decreased by 0.15

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of days be represented as A

Now , the value of A is

a)

The total length of the ultra marathon = 421.95 km

The average speed of Oliver = 14.12 km/hr

The number of hours Oliver runs in a day = 15 hours

Now , the equation will be

The number of hours Oliver runs for the marathon =  total length of the ultra marathon / average speed of Oliver

Substituting the values in the equation , we get

The number of hours Oliver runs for the marathon = 421.95 / 14.12

The number of hours Oliver runs for the marathon = 29.88314 hours

And ,

The number of days it will take for Oliver to complete the marathon A = number of hours Oliver runs for the marathon / number of hours Oliver runs in a day

Substituting the values in the equation , we get

Number of days for Oliver to complete the marathon A = 29.88314 / 15

Number of days for Oliver to complete the marathon A = 1.99 days

b)

The average speed of Oliver = 15.27

The number of hours Oliver runs for the marathon = 421.95 / 15.27

The number of hours Oliver runs for the marathon = 27.63261 hours

Number of days for Oliver to complete the marathon A = 27.63261 / 15

Number of days for Oliver to complete the marathon A = 1.84 days

Therefore , the number of days will be less by 0.15 days if Oliver's speed is 15.27 km / hr

Hence , the number of days is 1.99 days

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Answer:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Step-by-step explanation:

7

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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Answer:

C. S

Step-by-step explanation:

Because they are 27 letters so

0.3* 27= 8.1

So 27-8= 19 so the 19th letter is S

Answer:

I would say twv

Step-by-step explanation:

Answer:

Number of Nickels is 12

Number of Dimes is 9

Number of Quarters is 15

Step-by-step explanation:

Given that there are a total of 36 coins, which consists of nickels, dimes, and quarters.

That is, when we sum the numbers of nickels, dimes, and quarters, we have 36.

Let number of nickels be N

Let number of dimes be D

Let number of quarters be Q

Then

N + D + Q = 36 .................................(1)

- There are three fewer quarters than nickels.

This implies that

N = Q - 3 ..............................................(2)

Or

Q = N + 3 .............................................(3)

- There are six more dimes than quarters.

This implies that

Q = D + 6 .............................................(4)

Comparing (3) with (4), we see that

N + 3 = D + 6

N - D = 6 - 3

N - D = 3 ................................................(5)

Using (3) in (1)

N + D + (N + 3) = 36

2N + D = 36 - 3

2N + D = 33 ..........................................(6)

Solving (5) and (6) simultaneously

From (5): D = N - 3

From (6): D = 33 - 2N

=> N - 3 = 33 - 2N

N + 2N = 33 + 3

3N = 36

N = 36/3 = 12..........................................(7)

Using (7) in (6)

2(12) + D = 33

24 + D = 33

D = 33 - 24

D = 9 ........................................................(8)

Using (7) and (8) in (1)

12 + 9 + Q = 36

21 + Q = 36

Q = 36 - 21 = 15.......................................(9)

Therefore,

Number of Nickels, N = 12

Number of Dimes, D = 9

Number of Quarters, Q = 15

Answer:

3/8 is a proper fraction which means it can't be written as a mixed number

Step-by-step explanation:

If the numerator is bigger than the denominator then you can convert it to a mixed number.

Answer:

3/8 is equal to 0.375

i dont think this can be turned into a mixed number becuase the fraction isn't over 8

example: 18/8 can be changed into the mixed number 2 3/8

Step-by-step explanation:

To solve the equation 4x+8 = 32, we subtracted 8 from both sides of the equation to isolate the variable x. Then, we divided both sides by 4 to solve for x. The answer is x = 6.

To solve 4x+8 = 32, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 8 from both sides of the equation:

4x+8-8 = 32-8

This simplifies to:

4x = 24

To solve for x, we can divide both sides by 4:

4x/4 = 24/4

Which gives us:

x = 6

Therefore, the answer is A) x = 6.

In summary, to solve the equation 4x+8 = 32, we subtracted 8 from both sides of the equation to isolate the variable x. Then, we divided both sides by 4 to solve for x. The answer is x = 6.

To solve the equation 4x + 8 = 32, follow these steps:

Step 1: Subtract 8 from both sides of the equation to isolate the term with the variable x.
4x + 8 - 8 = 32 - 8

Step 2: Simplify both sides of the equation.
4x = 24

Step 3: Divide both sides of the equation by 4 to solve for x.
4x / 4 = 24 / 4

Step 4: Simplify both sides of the equation.
x = 6

So, the correct answer is x = 6 (Option A).

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Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD

Step-by-step explanation:

Answer: 10 days

Step-by-step explanation:

22 would be displayed by command print(magic(5)).

The statement print(magic(5)) would display the result of the magic function when called with an argument of 5.

The print function is a commonly used function in programming languages that allows you to display output to the console or terminal. It is used to output text, variables, or other data to the standard output device.

Substituting num = 5 into the function definition, we get:

x = num - 3 = 5 - 3 = 2

return x + 2 * 10 = 2 + 20 = 22

Therefore, print(magic(5)) would display 22.

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Option C satisfy the equation that is 2. 25 pounds of raisins and 0. 75 pounds of walnuts are $8 per pound and raisins are $4 per pound.

Given that,

Walnuts are $8 per pound and raisins are $4 per pound. Diego bought both components for $15.

We have to determine whether each pair of values may represent a mixture of the raisins and walnuts that Diego purchased.

We know that,

r is the raisins and w is the walnuts

The equation will be 4r+8w≤15

The options given

(a) 4(4)+8(2)≤15

32≤15  (NO)

The Option A is does not satisfy

(b) 4(1)+8(1.5)≤15

16≤15  (NO)

The Option B is does not satisfy

(c) 4(2.25)+8(0.75)≤15

15≤15  (YES)

The Option C is satisfy

(d) 4(3.5)+8(1)≤15

22≤15  (NO)

The Option D is does not satisfy

Therefore, Option C satisfy the equation that is 2. 25 pounds of raisins and 0. 75 pounds of walnuts are $8 per pound and raisins are $4 per pound.

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Answer:

y = 42º

Step-by-step explanation:

The unmaked angle of the bottom triangle is 90º

The sum of the angles is 180

y + 90 + 48 = 180

combine like terms

y + 138 = 180

subtract 138 from both sides

y = 42º

(4x-6)+(8x+18)=180(adjacent angles are supplementary)

4x-6+8x+18=180

4x+8x-6+18=180

12x+12=180

12x=180-12

12x=168

x168/12

x=14

8x+18=y+3 (corresponding angles are equal)

8×14+18=y+3

130=y+3

-y=3-130

-y=-127

y=127

x=14, y=127

Answer:

x = 14 and y = 127

Step-by-step explanation:

we know that 4x-6 +8x+18 = 180

and 8x+18 = y+3

Let's first solve for x for the first equation.

12x = 180-18+6

x=14

Now solve for y for the second equation.

8(14) +18 = y + 3

y = 8(14) +18 -3

y = 127

The probability that at most 2 out of 8 randomly selected PC gamers say they bought Cyberpunk 2077 on Steam is 0.8936 (option B).

In this scenario, we are dealing with a binomial distribution, where the probability of success (a PC gamer saying they bought Cyberpunk 2077 on Steam) is 40% or 0.4, and the number of trials is 8. We want to calculate the probability of having at most 2 successes.

To find this probability, we can use the binomial probability formula or a binomial probability calculator. By summing up the probabilities of having 0, 1, or 2 successes, we find that the probability is 0.8936.

In summary, the probability that at most 2 out of 8 PC gamers say they bought Cyberpunk 2077 on Steam is 0.8936 (option B).

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The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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Interpret the Confidence Interval. Based on the information provided, we have the following data: Population 1 (Rural Voters): 85 surveyed, 21 support gun control, Population 2 (City Voters): 85 surveyed, 57 support gun control

Let's assume you've already calculated the confidence interval in Step 1. The confidence interval will show a range within which the true difference in support for gun control between rural and city voters is likely to fall.

To interpret the confidence interval, consider the following example:

Confidence Interval: (X1, X2)

If the entire interval is positive (X1 > 0 and X2 > 0), it indicates that city voters are more likely to support gun control than rural voters, with a certain level of confidence (usually 95% or 99%).

If the entire interval is negative (X1 < 0 and X2 < 0), it indicates that rural voters are more likely to support gun control than city voters, with the same level of confidence.

If the interval contains 0 (X1 < 0 and X2 > 0), it means there is not enough evidence to conclude that there is a significant difference in gun control support between rural and city voters at the chosen confidence level.

Remember to always provide the actual confidence interval values and the chosen confidence level in your interpretation.

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Answer:y=-2x+0

Step-by-step explanation:

( 1 ) First graph -

x-intercept = 2

y-intercept = -4

\(y=2x-4\)

[ Proof ]

\(2x-4=0\\2x=4\\x=2\)

For y-intercept, it's y = 0 -4 = -4

( 2 ) Second graph -

x-intercept = 2

y-intercept = 1

slope = -1/2

\(y=-\frac{1}{2}x+1\)

[ Proof ]

\(-\frac{1}{2}x+1=0\\-x+2=0\\-x=-2\\x=2\)

For y-intercept, it's y = 0 + 1 = 1

So it's y = 2x - 4

and y = -1/2x + 1