Question 24 < > Pain medications sometimes come with side effects. One side effect is dizziness. A researcher wanted to determine if some pain medications produced more or less dizziness than others.

Answer:

46

Step-by-step explanation:

Since we know the value of the variable c, we can substitute 20 for c

2c + 6

2(20) + 6

40 + 6

46

Answer:1,250

Step-by-step explanation:

You have to do 3750 Divided by 3 and you get 1,250

Answer:

x = 3

Step-by-step explanation:

6x - 2 = x + 13

6x - x = 13 + 2

5x = 15

x = 3

Complete Question:

If all other factors specified in an attribute sampling plan remain constant, changing the expected population deviation rate from 1 percent to 2 percent and changing the tolerable deviation rate from 7 percent to 6 percent would cause the required sample size to:

a. Increase.

b. Decrease.

c. Remain the same.

d. Change by 2 percent.

The required sample size should increase.

The sample size is directly influenced by the projected population deviation rate, but the tolerated deviation rate has the opposite impact. The sample size will therefore increase as the projected population deviation rate rises and the acceptable deviation rate falls.

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Answer:

$29

Step-by-step explanation:

First you divide 290.44 by 10 which would equal 29.044, then you would round both 4's down to 0 which would get you $29.

Answer:

-7

Step-by-step explanation:

2-3(3)=-7

If a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls, the probability of drawing a red ball from the jar is approximately 0.47 or 47%.

The probability of a red ball being drawn from the jar can be calculated as follows:

Total number of balls in the jar = 8 red + 3 white + 6 yellow = 17

Probability of drawing a red ball = (Number of red balls in the jar) / (Total number of balls in the jar) = 8/17 ≈ 0.47

This means that if we were to draw a ball from the jar randomly, there is a 47% chance that the ball we draw will be red.

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Complete question is:

A ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.

What is what is the probability of a Red ball being drawn?

A trending quantity is a number that is generally increasing or decreasing. When the numbers are steadily decreasing, we have a downward trend, and when the numbers are steadily increasing, we have an upward trend.

On our problem, we have a population growth/decline starting at 2004 until 2009. If we analyze the years individually, it is not perfectly clear if the ternd is downward or upward, however, analyzing the whole table it is possible to see that we have an upward trend. If we compare two distinct points not consecutive of our table, the point closer to 2009 will present a bigger population for most points in our table, which shows a rise on the population value as the years goes by. To see it properly the ideal would be to plot the points and check the slope of the trend line.

Answer:  210

Explanation:

Each box has 12 packets of fruit snacks and 18 packets of cashews. That gives 12+18 = 30 packets overall per box. Since we have 7 boxes, that tells us the total count is 7*30 = 210

So, the average speed of the train is 54.09 miles per hour.

To calculate the average speed of the train for the entire trip, you need to find the total distance traveled and the total time traveled.

First, you can convert the time traveled at each speed to hours. 40 minutes is equal to 40/60=0.67 hours. So the total time traveled is 1+0.67=1.67 hours.

To find the total distance traveled, you can use the formula: distance = speed x time. At 45 mph, the distance traveled is 45 x 0.67 = 30.15 miles. At 60 mph, the distance traveled is 60 x 1 = 60 miles. Therefore, the total distance traveled is 30.15 + 60 = 90.15 miles.

Finally, you can use the formula: average speed = total distance / total time.

Average speed = 90.15 miles / 1.67 hours = 54.09 miles per hour.

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Answer:

P(1.48<X<15.56) ≈ 0.919 ≈ 91.9%

Step-by-step explanation:

2nd+DISTR --> normalcdf

P(1.48<X<15.56) = normalcdf(1.48,15.56,8,4) ≈ 0.919

Answer: B

Step-by-step explanation: If it goes through a point, flip that point around and that is the point of the inverse. Do that for multiple points to get your answer, which is B

Answer:

.

Step-by-step explanation:

Answer:

\(x = 0\)

Step-by-step explanation:

Given

Represent the number with x.

So:

\(2 + x + x + x + x + x + x + x + x + x + x = 2\)

or

\(2 + 10x = 2\)

We want to solve for x

Subtract both sides by 2

\(2 - 2 + 10x = 2 - 2\)

\(10x = 0\)

Solve for x

\(x = \frac{0}{10}\)

\(x = 0\)

No other number aside 0, satisfy the property.

Answer: 11.52

Step-by-step explanation:

To find the new amount when a certain quantity is decreased by a percentage, we need to subtract the percentage of the original amount from the original amount.

In this case, the original amount is 36, and it is decreased by 68%. To find the amount of the decrease, we can calculate 68% of 36 as follows:

68% of 36 = (68/100) x 36 = 24.48

This means that the amount of the decrease is 24.48. To find the new amount, we can subtract the amount of the decrease from the original amount:

New amount = Original amount - Amount of decrease

New amount = 36 - 24.48

New amount = 11.52

Therefore, the new amount when 36 is decreased by 68% is 11.52.

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Answer:

Please check explanations

Step-by-step explanation:

The diameter is twice the height;

if diameter is d and height is h

Then;

d = 2h

But, we know that the radius is half the diameter size. Which means that the diameter is twice the radius

Thus;

2r = 2h

Then r = h

Mathematically the total surface area of a cylinder is;

2pi r (r + h)

substitute h for r

2pi h(h + h)

= 2pi * h * 2h

= 4 pi h^2 (QED)

Output sequence is y(n) = {0.9375, -5.75 + j1.625, -0.9375 + j0.625, 0}. This represents the response of the system to the given input sequence.

To compute the 5-point DFT of the signal x(n), which is sampled at a duration of 5 ms, we need to calculate the discrete Fourier transform of the sequence x(k) = {5, 3, 2, 0, 0}. The Discrete Fourier Transform (DFT) is a mathematical tool used to convert a finite sequence of discrete samples from the time domain to the frequency domain. In this case, we are given the signal x(t) = 5cos(1207) + 3sin(240) + 2cos(5407), which represents a continuous-time signal.

To work with the signal in the discrete domain, it is sampled at regular intervals of 5 ms. The resulting discrete sequence x(k) is {5, 3, 2, 0, 0}. By applying the standard DFT formula to this sequence, we can compute the 5-point DFT, which will provide information about the magnitudes and phases of the frequency components present in the signal.

Moving on to the second part of the question, we are given the sequences of a 4-point DFT of the system, where x(k) = {Last Digit of Student ID, -3 - j5, 0, 0} and h(k) = {1.875, 0.75 - j0.625, 0.625, 0}. To determine the output sequence y(n), we perform the circular convolution between x(k) and h(k) and truncate the result to obtain the desired length.

Circular convolution is a mathematical operation that combines two sequences by cyclically shifting and multiplying corresponding elements. By performing circular convolution between x(k) and h(k), we obtain the output sequence y(n) = {0.9375, -5.75 + j1.625, -0.9375 + j0.625, 0}. This represents the response of the system to the given input sequence.

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The area enclosed by the ripple is increasing at a rate of  39.2π ft²/s when the radius is 3 feet. To solve this problem, we need to use the formula for the area of a circle: A = πr^2.

We know that the radius is increasing at a constant rate of 2.8 ft/s, so we can write r = 3 + 2.8t, where t is the time elapsed since the stone was dropped.

We want to find how rapidly the area enclosed by the ripple is increasing, which is the same as finding the derivative of the area with respect to time:

dA/dt = d/dt(πr^2)

Using the chain rule, we can simplify this to:

dA/dt = 2πr(dr/dt)

Now we can substitute in the expression we have for r:

dA/dt = 2π(3 + 2.8t)(2.8)

When the radius is 3 feet, we have:

dA/dt = 2π(3 + 2.8t)(2.8)

dA/dt = 39.2π ft^2/s

So the area enclosed by the ripple is increasing at a rate of 39.2π square feet per second when the radius is 3 feet.

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Answer:

x≤61/12

Step-by-step explanation:

distribute the -3

8-12x+3≥-49

add like terms

12-12x≥-49

subtract 12 from both sides

-12x≥-61

divide by -12, when you divide by a neg the lessthan/greaterthan sign flips

x≤61/12

Answer:

the answer is $120

Step-by-step explanation:

60+60 is 120

Answer:8x=10y

Step-by-step explanation:

A proportional relationship between the number of stickers Xander buys, x, and the total cost, y is 8x=10y.

Given that, Xander pays $8 for 10 skateboard stickers.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Given, the number of stickers Xander buys, x, and the total cost, y.

Now, 8x=10y

⇒ x/y = 10/8

Therefore, a proportional relationship between the number of stickers Xander buys, x, and the total cost, y is 8x=10y.

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The absolute minimum value of sinusoidal function f(x) = sin x. cos x on the interval [0,2π] is 1/2

The absolute minimum value of f on the interval [0,2π] can be found by using the sinusoidal function and the absolute value function. First, we need to find the critical points of the function f(x) = sinx cosx on the interval [0,2π]. To do this, we take the derivative of the function and set it equal to zero:
f'(x) = cos²x - sin²x = 0

Solving for x, we get:
cos²x = sin²x

1 - sin²x = sin²x

2sin²x = 1

sin²x = 1/2

sinx = ±√(1/2)

x = π/4, 3π/4, 5π/4, 7π/4

These are the critical points of the function on the interval [0,2π]. Now, we need to find the absolute minimum value of the function at these points. We do this by plugging the critical points back into the original function and taking the absolute value of the result:

f(π/4) = sin(π/4) cos(π/4) = √2/2 * √2/2 = 1/2

f(3π/4) = sin(3π/4) cos(3π/4) = √2/2 * -√2/2 = -1/2

f(5π/4) = sin(5π/4) cos(5π/4) = -√2/2 * -√2/2 = 1/2

f(7π/4) = sin(7π/4) cos(7π/4) = -√2/2 * √2/2 = -1/2

The absolute minimum value of the function on the interval [0,2π] is the smallest absolute value of these results, which is |-1/2| = 1/2. Therefore, the absolute minimum value of f on the interval [0,2π] is 1/2.

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Answer:

If the student is female then the probability that the student will participate is about 67%

If the student is male the probability that they participate is about 33%

Step-by-step explanation:

It is given that 48% of the students in the school are male. That means that the remaining students in this school are (for the sack of this problem) female out 100% of students. You would subtract 48% from 100% which is 52% which is the percentage of students in the school who are female.

From this point you need to find the percentage of students who would participated in the survey. To do that you would divide the number of the type of student who did the survey by the type of student in the school. For example for the male you would divide 16% from 48% or 16 ÷ 48 which would equal to the proposed of males who would participate which is about 33% of males. You would do the same math for finding the probability of females so it would be 35 ÷ 52 which is about 67% of females.

Even though the random student is more likely to be female the chances of the gender of the student is almost 50%/50% because if you round it to the nearest tenth it would be 50.

Answer:

The equation for this is 15÷n+1

Step-by-step explanation:

Hope this helps!

Tests are frequently used to initially determine and assess potential worker safety and health issues.

The following factors are essential to a good workplace safety and health program: Leadership and management commitment. Accountability. Concern for safety.

An idea or rule that directs behaviors, processes, or tools with the goal of reducing the possibility or incidence of harm to people, property, or the environment.

In order to protect people's bodily, mental, and material health as well as the community's overall wellbeing, safety is the condition in which risks and circumstances that could cause harm are under control. It is a necessity for daily existence and is required by both individuals and communities in order to realize their objectives.

Workplace safety procedures are established practices that describe how to carry out duties with the least amount of danger to people, property, and working conditions. The processes cover work-related duties that deal with safety issues, safety gear, and work-area safety precautions.

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Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4