I GIVE TONS OF POINTS!!! PLEASE HELP!!! THANKSSS!!!! IM GIVING 100 POINTS OR MORE FOR THIS PROBLEM!!!!!!!! YOU WILL BE MARKED BRAINLIEST!!!!
In a survey of 229 professional athletes, it was found that 99 of them owned a convertible, 84 of them owned a giant screen TV, and 98 owned a sporting goods store. 16 owned a convertible and a store, 26 owned a TV and a store, and 41 owned a covertible and a TV. 5 owned all three items.

How many athletes did not own any of the three items?_____________
How many owned a covertible and a TV, but not a store?____________
How many athletes owned a convertible or a TV?_________________
How many athletes owned exactly one type of item in the survey?___________
How many athletes owned at least one type of item in the survey?__________
How many owned a TV or a store, but not a convertible?___________

The standard deviation for the sample mean speed in a random sample of 100 cars is 0.5 mph.Therefore, the standard deviation for the sample mean speed in a random sample of n = 100 cars is 0.5 mph.

The standard deviation for the sample mean speed in a random sample of n = 100 cars can be calculated using the formula:

σ/√n

where σ is the population standard deviation (given as 5 mph) and n is the sample size (given as 100 cars).

Plugging in the values, we get:

σ/√n = 5 mph/√100 = 5 mph/10 = 0.5 mph

Therefore, the standard deviation for the sample mean speed in a random sample of n = 100 cars is 0.5 mph.

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Answer:

Step-by-step explanation:

Step one:

given

the number of tiles is 100 in total

the dimension of the tiles is 4.75 inches wide

Step two:

Required

We want to find the length that 100 tiles will cover

Hence the length will be 4.75*100

=475inches

Therefore the option C is correct

Answer:

2√ 3

Step-by-step explanation:

since the roots are the same yoy can just subtract 4 and 2 and get the answer

Answer:

D. 4.5​

Step-by-step explanation:

Answer:

77 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees

subtract 103 from 180 to get 77 degrees

\((14)\\\\x^2 + 14x +45\\\\=x^2 +5x +9x +45\\\\=x(x+5) +9(x+5)\\\\=(x+9)(x+5)\\\\(15)\\\\x^2 +18x +45\\\\=x^2 +15x +3x +45\\\\= x(x+15) +3(x+15)\\\\=(x+3)(x+15)\\\\\\(16)\\\\x^2+46x+45\\\\=x^2 +45x +x +45\\\\=x(x+45) +(x+45)\\\\=(x+45)(x+1)\)

a. \mu_x = 180, \sigma_x = 8.660

b. It is expected that in a random sample of 300 adult smokers, 180 will have started smoking before turning 18.

c. No, because 270 is between \mu - 2\sigma and \mu + 2\sigma.

To compute the mean (\mu_x) and standard deviation (\sigma_x) of the random variable x, which represents the number of smokers who started before 18 in 300 trials, we can use the formulas for the mean and standard deviation of a binomial distribution. For a binomial distribution, the mean is given by n * p, and the standard deviation is given by sqrt(n * p * (1 - p)), where n is the number of trials and p is the probability of success.

In this case, n = 300 and p = 0.60 (the probability of an adult smoker starting before 18). Plugging in these values, we get \mu_x = 300 * 0.60 = 180, and \sigma_x = sqrt(300 * 0.60 * (1 - 0.60)) = 8.660.

Learn more about the mean and standard deviation of a binomial distribution.

The correct interpretation of the mean (\mu_x) is that in a random sample of 300 adult smokers, it is expected that 180 will have started smoking before turning 18. This means that, on average, approximately 180 out of 300 adult smokers will fall into this category.

Learn more about interpreting the mean of a binomial distribution.

When considering whether it would be unusual to observe 270 smokers who started smoking before turning 18 in a random sample of 300 adult smokers, we can refer to the concept of the empirical rule. According to the empirical rule, approximately 95% of the data falls within the range of \mu_x - 2\sigma_x to \mu_x + 2\sigma_x. In this case, \mu_x = 180 and \sigma_x = 8.660. Thus, the range is from 180 - 2 * 8.660 to 180 + 2 * 8.660, which is approximately 162.68 to 197.32.

Since 270 falls within this range, it would not be considered unusual to observe 270 smokers who started smoking before turning 18 in a random sample of 300 adult smokers.

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Stephen's average speed for the round trip was 48 mph.

To find Stephen's average speed, we can use the formula:

Average Speed = Total Distance / Total Time

Let's assume the distance from Stephen's house to his aunt's house is 'd' miles.

On the way to his aunt's house, Stephen traveled at a speed of 60 mph. So the time taken for this leg of the trip is given by:

Time = Distance / Speed = d / 60

On the return trip, Stephen traveled at a speed of 40 mph. So the time taken for this leg of the trip is:

Time = Distance / Speed = d / 40

The total time for the round trip is the sum of the times for the outward and return trips:

Total Time = d / 60 + d / 40

To find the average speed, we divide the total distance by the total time:

Average Speed = Total Distance / Total Time

The total distance for the round trip is 2d (since it's the same roadway for both trips).

Average Speed = 2d / (d / 60 + d / 40)

Simplifying this expression, we get:

Average Speed = 2d / ((3d + 2d) / 120) = 2d / (5d / 120) = 2d * 120 / 5d = 240 / 5 = 48 mph

Therefore, Stephen's average speed for the round trip was 48 mph.

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Answer:

A is the correct answer. x = 3.

Step-by-step explanation:

\( {49}^{x + 4} = {7}^{5x - 1} \)

\( {7}^{2(x + 4)} = {7}^{5x - 1} \)

\(2x + 8 = 5x - 1\)

\(3x = 9\)

\(x = 3\)

A. The power of the two-tailed hypothesis test with α = .05 is 0.53.

B. The power of the one-tailed hypothesis test with α = .05 is 0.95.

A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.

A. The power of the two-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- (1-α)\(^{1/2}\)

=1- (1-0.05)\(^{1/2}\)

=0.525

=0.53

This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.

B. The power of the one-tailed hypothesis test is calculated using the formula:

Power=

1- β=1- α

=1- 0.05

= 0.95

This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.

This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.

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Given:

\(R^2=0.92,a=8000,b=0.9\).

Exponential regression model is

\(y_1\sim a(b)^{x_1}\)

To find:

The exponential regression representing the population of Lazy Town as a function of time in years.

Solution:

Exponential regression model is

\(y_1\sim a(b)^{x_1}\)       ...(i)

We have, \(a=8000,b=0.9\).

Substituting \(a=8000\) and \(b=0.9\) in (i), we get.

\(y_1\sim 8000(0.9)^{x_1}\)

Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is \(y_1\sim 8000(0.9)^{x_1}\).

-3: y = -2 * (-3) - 7 = 6 - 7 = -1

0: y = -2 * 0 - 7 = -7

3: y = -2 * 3 - 7 = -6 - 7 = -13

6: y = -2 * 6 - 7 = -12 - 7 = =-19

The probability that none of 200 women using the pill will become pregnant is found to be 0.002.

Given: Assume a birth control pill has a 97% success rate in avoiding pregnancies.

Probability that none of 200 women using the pill will become pregnant is given as

= 0.97(200)

=0.0023

=0.002

Therefore, probability that none of 200 women using the pill will become pregnant is found to be 0.002.

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In this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.

To find chi-square goodness-of-fit test question.

To determine the degrees of freedom in this particular chi-square goodness-of-fit test with six categories and 325 observations, you need to subtract 1 from the number of categories. So, the degrees of freedom are:

Degrees of Freedom (df) = Number of Categories - 1
Degrees of Freedom (df) = 6 - 1
Degrees of Freedom (df) = 5

Next, to find the critical value of chi-square at a 0.10 significance level and 5 degrees of freedom, you can use a chi-square distribution table or an online calculator. After consulting the table or calculator, you will find that the critical value of chi-square is:

Critical Value of Chi-Square (rounded to 3 decimal places) = 9.236

So, in this particular chi-square goodness-of-fit test with six categories, 325 observations, and a 0.10 significance level, there are 5 degrees of freedom and the critical value of chi-square is 9.236.

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The number of Grade 6 students were asked in total is 100 students.

Let the number of students who choose Natural History be x.

Since the number of students who chose the Museum of Math was 50 more than the number of students who chose the Museum of Natural History. This will be x + 50

The ratio of students who chose the Museum of Math to students who chose the Museum of Natural History was 3 to 1. The expression will be illustrated thus:

1/3 = x/x+50

Cross multiply

3x = x + 50

Collect like terms

3x - x = 50.

2x = 50

Divide

x = 50/2

x = 25

Also, x + 50 = 25 + 50 = 75

The number of Grade 6 students that were asked will be:

= 25 + 75

= 100

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Here we must calculate the power from 3 to 4.

Solving:

The answer would be 81

Answer:

6=\(\frac{c}{2}\)+1

Step-by-step explanation:

anderson's $6 per hour is one half of carey's hourly rate, plus one.

Answer:

A)

6 = c/2 + 1

Step-by-step explanation:

edg2020

Answer:

Step-by-step explanation:

You just have to substitute -3 into your function.

Therefore: 9 + 15 + 36 = 50

The value of the  f (−3) is 42 after plugging the value of x = -3 in the function f(x) = -x² - 5x + 36.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

f(x) = -x² - 5x + 36

Any function of the form \(\rm f(x) =ax^2+bx+c\)  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

Plug x = -3 in the above function:

f(-3) = -(-3)² - 5(-3) + 36

f(-3) = -9 + 15 + 36

f(-3) = 42

Thus, the value of the  f (−3) is 42 after plugging the value of x = -3 in the function f(x) = -x² - 5x + 36.

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The speed v[t] is always a positive value, since it's the magnitude of the velocity vector.

The velocity of the motion at time t is given by V[t] = x'[t], which is the derivative of the position function x[t] with respect to time.

To compute v[t], you take the square root of the magnitude of V[t], which is given by:

v[t] = |V[t]| = sqrt(|x'[t]|) = sqrt(sqrt[t] * |V[t]|)

Here, the square root of t is taken as a weighting factor for the velocity, which means that the speed increases with time. The speed v[t] is always a positive value, since it's the magnitude of the velocity vector.

Note that this formula assumes that the motion x[t] is differentiable, which means that the velocity V[t] is well-defined and continuous. If x[t] is not differentiable, then the velocity V[t] may not exist, and this formula wouldn't apply.T

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First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

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Answer:

it is C

Step-by-step explanation:

hope it helps

City X would have summer at position 4.

The image shows the rotation of the earth around the sun and a city in the northern hemisphere is marked with a letter X.

In the positions shown on the earth the stations are:

The distribution of the seasons originates from the position of the earth concerning the sun and the areas most exposed to solar rays, as can be seen in position 4, the northern hemisphere is more exposed to solar rays, while the south is less exposed.

According to the above, the correct answer is 4. In this position, the north is in summer and the south in winter.

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The nominal pipe diameter that satisfies the given requirements with a factor of safety of 1.5 is approximately 9.45 inches.

To determine the nominal pipe diameter that satisfies the given requirements, we need to consider the load-bearing capacity of the steel pipe. The load capacity of a pipe depends on its diameter, wall thickness, and the material properties.

In this case, we'll use a factor of safety of 1.5, which means the pipe should be able to support 1.5 times the required load of 45,000 lbs. Therefore, the design load for the pipe is

1.5 * 45,000 lbs = 67,500 lbs.

To find the appropriate pipe diameter, we'll refer to industry standards and tables that provide load capacity information for different pipe sizes.

The load capacity of a steel pipe can vary depending on the specific material grade and manufacturing specifications. However, we can use a conservative estimate based on common standards.

For scaffolding systems, it is common to use Schedule 40 steel pipes. The load capacity of Schedule 40 steel pipes is generally determined based on bending stress limits.

Assuming a safety factor of 1.5, we can use the following formula to calculate the required nominal pipe diameter:

\(D = \sqrt{(4 * P * L) / (\pi * S * F)}\),

where:

D is the nominal pipe diameter,

P is the design load (67,500 lbs in this case),

L is the length of the pipe column (14 ft),

S is the allowable stress of the steel pipe material, and

F is the safety factor.

Let's assume a conservative allowable stress value for Schedule 40 steel pipe of S = 20,000 psi.

Substituting the given values into the formula, we have:

\(D = \sqrt{(4 * 67,500 lbs * 14 ft) / (\pi * 20,000 psi * 1.5)}\).

Now we need to convert the units to be consistent. Let's convert the length from feet to inches, and the stress from psi to lbs/in²:

\(D = \sqrt{(4 * 67,500 lbs * 14 ft * 12 in/ft) / (\pi * 20,000 lbs/in^2 * 1.5)}\).

Simplifying further:

\(D = \sqrt{(4 * 67,500 * 14 * 12) / (\pi * 20,000 * 1.5)}\).

Calculating the value:

D ≈ 9.45 inches.

Therefore, the nominal pipe diameter that satisfies the given requirements with a factor of safety of 1.5 is approximately 9.45 inches.

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Step-by-step explanation:

B = J + 3

hope this helps. have a great day

Answer:

2y -2 = 3x +9

or

3x -2y = -11

Answer:

3x - 2y = - 11

Step-by-step explanation:

Ax + By = C

A, B and C are integers

~~~~~~~~~~~~~~~

y - 1 = 1.5 ( x + 3 )

2y - 2 = 3 ( x + 3 )

3x - 2y = - 11

Answer:

$3

Step-by-step explanation:

25 times 3=75

The measure of angle NMQ is 73 degrees

The given parameter is:

\(\angle MNP = 107\)

From the given figure, angles MNP and NMQ are adjacent angles.

Given that the adjacent angles of a trapezoid add up to 180 degrees.

We have the following equation

\(\angle MNP + \angle NMQ = 180\)

Make NMQ the subject

\(\angle NMQ = 180 -\angle MNP\)

Substitute 107 for MNP

\(\angle NMQ = 180 -107\)

\(\angle NMQ = 73\)

Hence, the measure of angle NMQ is 73 degrees

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Answer:

2³×5²

Step-by-step explanation:

200 as a product of prime factors is 2×2×2×5×5, which is 2³×5²