What is the solution set for the inequality.

t - 10 ≥ 7

A

{18, 19, 20, 21}

B

{17, 3, 14, 25}

C

{17, 20, 30, 44}

D

{8, 11, 15, 17}

(a) 13 subjects are needed to estimate the mean number of books read the previous year within four books with 95% confidence. (b) 97 subjects are needed to estimate the mean number of books read the previous year within two books with 95% confidence. (c) Doubling the required accuracy nearly quarters the sample size. (d) 34 subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence. Increasing the level of confidence increases the sample size required.

(a) To estimate the mean number of books read the previous year within four books with 95% confidence, we need to determine the required sample size.

The formula for calculating the sample size required to estimate the mean with a specified margin of error and confidence level is given by:

\(n = (Z * σ / E)^2\)

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z = 1.96)

σ = standard deviation of the population (given as s = 11.2 books)

E = margin of error (given as 4 books)

Plugging in the values, we have:

\(n = (1.96 * 11.2 / 4)^2\)

n ≈ 12.226

Rounding up to the nearest subject, we need approximately 13 subjects.

Therefore, the 95% confidence level requires 13 subjects.

(b) Similarly, to estimate the mean number of books read the previous year within two books with 95% confidence, we can use the same formula:

\(n = (Z * σ / E)^2\)

Where:

Z = 1.96 (corresponding to 95% confidence level)

σ = 11.2 (given)

E = 2 (margin of error)

Plugging in the values, we have:

\(n = (1.96 * 11.2 / 2)^2\)

n ≈ 96.256

Rounding up to the nearest subject, we need approximately 97 subjects.

Therefore, the 95% confidence level requires 97 subjects.

(c) Doubling the required accuracy (margin of error) will increase the sample size. This is because as the required accuracy becomes smaller, we need a larger sample size to ensure that the estimate is precise enough. The relationship between the required accuracy (E) and sample size (n) is inverse. When the required accuracy is doubled, the sample size will approximately be quartered (not halved).

Therefore, the correct answer is: C. Doubling the required accuracy nearly quarters the sample size.

(d) To estimate the mean number of books read the previous year within four books with 99% confidence, we can again use the same formula:

\(n = (Z * σ / E)^2\)

Where:

Z = Z-score corresponding to the desired confidence level (99% confidence level corresponds to Z = 2.575)

σ = 11.2 (given)

E = 4 (margin of error)

Plugging in the values, we have:

\(n = (2.575 * 11.2 / 4)^2\)

n ≈ 33.245

Rounding up to the nearest subject, we need approximately 34 subjects.

Comparing this result to part (a), we can see that increasing the level of confidence (from 95% to 99%) increases the required sample size. This is because higher confidence levels require more precise estimates, which in turn require larger sample sizes to achieve.

Therefore, the correct answer is: A. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.

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Answer:

7 blue marbles

Step-by-step explanation:

because 3:7 equals red:blue so blue = 7

a^2+b^2=c^2

a=15

b=25

15^2=225

25^2=625

225+b^2=625

b^2=400

b=20

Step-by-step explanation:

you can use right angle triangle to do the calculation

Answer:

abe = ebc

Step-by-step explanation:

bcos both the seperate angels have the same degree

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 6 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes.

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4, thus

y = - 3x - 4 ← equation of parallel line

The grid-based method first quantizes the object space into a finite number of cells that form a grid structure and then performs clustering on the grid structure.

The grid-based methods are used in data mining and are based on a multi-resolution grid data structure. In the grid-based methods the space of instance is divided into a grid structure. Following the division, clustering techniques are employed using the cells of the grid as the base units instead of individual data points. The great advantage of grid-based clustering technique is its significant reduction of the computational complexity, especially for clustering very large data sets and improving the processing time.

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When two planes intersect, the resulting intersection is always a line. This can be expressed in if-then form as "If two planes intersect, then the result of their intersection is a line."

In if-then form, the statement "The intersection of two planes is a line" can be written as follows:
If two planes intersect, then the result of their intersection is a line.

Explanation:
In geometry, when two planes intersect, the resulting figure is either a line or a point. However, in this specific statement, it states that the intersection of two planes is a line. This means that whenever two planes intersect, the outcome will always be a line.

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Answer:

3

Step-by-step explanation:

Put both expressions equal to each other.

2x+4=3x+1

Solve:

2x+4=3x+1

4-1=3x-2x

3=1x

x=3

Answer:

1st blank :

-4

star :

5

it's correct answers

Answer:

For the first column, the y= -4

For the last column, y= 5

Step-by-step explanation:

For the first column explanation:

For the last column explanation:

I hope this helps!

The thirty-fourth term of the arithmetic sequence is the thirty-second term plus the common difference, which is not equal to 0.

The thirty-fourth term of the arithmetic sequence is calculated by adding the common difference to the thirty-second term. The common difference is the amount by which each successive term increases or decreases. As the common difference is not equal to 0, the thirty-fourth term is not the same as the tenth or second terms. The second, tenth, and thirty-fourth terms form a geometric sequence, which means that the ratio between any two successive terms is always the same. This ratio is determined by the common difference of the arithmetic sequence, and the thirty-fourth term can be calculated by adding the common difference to the thirty-second term.

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The number of teenagers that liked Indian only is 11 students.

Counting students who liked Chinese and pizza

There were 35 teenagers altogether.

Since all the students who liked pizza also liked Chinese, and no student liked all three, we can just think about the remaining 25 students.

Of these, 14 liked Chinese and 16 liked Indian.

Since each student liked at least one of these, and there are a total of 30 'likes', then 5 students must like both Indian and Chinese.

This leaves 11 students who liked Indian only.

Thus, we conclude that the number of teenagers that liked Indian only is 11 students.

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Answer:

24

−

c

12

=

−

89

=

c

=

−

1356

x

=

c

=

−

1356

Step-by-step explanation:

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

you a dummy boi

Step-by-step explanation:

because

Answer:

2:5

Step-by-step explanation:

2/3:5/3 is a ratio. Because of that, if we multiply both sides by the same amount, the ratio remains the same, like how you can multiply the numerator and denominator of a fraction by the same amount to get the same value. 1/2 = 2/4 = 3/6...

Fractions are usually not preferable in ratios. In this case, if we multiply both sides by 3, we get 2:5. Since you can't divide both sides by the same amount without getting a fraction, this means the ratio is now simplified, making 2:5 your final answer.

Hope this helps!

Answer:

y = 3x + 2 slope 3 y-intercept (0,2)

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

y = -3x + 2 slope -3 y-intercept (0,2)

y = -1/3x + 2​ slope -1/3 y-intercept (0,2)

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Because

3(2) - 2=4

Answer:

36÷7.2=5

So this is the answer

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

The second, the fourth and the final.

Step-by-step explanation:

With the first: 4c = 41.5 => c=83/8 ? (c isn't 1.5: incorrect)

With the second: 150:c=100 =>c=150:100=1.5 (correct)

With the third: 13.5-c=10 => c=13.5+10=23.5 (incorrect)

With the fourth: 6c=9 => c=9:6=1.5 (correct)

With the final: 0.2c=0.3 => c=1.5 (correct)

Answer:

the equations that have a solution  of c = 1.5

Step-by-step explanation:

150 : c = 100

6 c = 9

0.2 c = 0.3

We are to simplify

From the the laws of indices,

Aplying this law to the question, we have

the answer is k=75!!

The position equation is:

x(t) = 4t - 2t³ + 5

And the position at t = 2 is x = -3.

We know that the velocity equation is:

v(t) = 4 - 6t²

To get the position equation we need to integrate it, we will get:

x(t) = 4t - (6/3)t³ + C

Where C is a constant of integration.

We know that at t = 1, the position is at x = 7

Then we can replace:

7 = 4*1 - 2*1³ + C

7 = 4 - 2 + C

7 - 2 = C

5 = C

The position equation is:

x(t) = 4t - 2t³ + 5

And the position at t = 2 is:

x(2) = 4*2 - 2*2³ + 5

x(2) = 8 - 16 + 5

x(2) =  -3

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The value of x according to the triangular altitude theorem is 5 units.

According to the triangular altitude theorem, the expression below is true;

AD/BD = BD/DC

Substitute the given parameters

x/10 = 10/4x

Cross multiply

4x(x) = 10(10)

4x^2 = 100
x^2 = 100/4

x^2 = 25

x = 5

Hence the value of x according to the triangular altitude theorem is 5 units.

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Jo's sum is easy   = (100)(101)/2  =  50 * 101   =  5050

Given,

In the question:

Jo adds up all the positive integers from 1 to 100. Kate does a similar thing with the first 100 positive integers.

She first rounds every integer to its nearest multiple of 10 (rounding 5s up) and then adds the 100 values.

To find the what is the positive difference between jo's sum and Kate's sum?

Now, According to the question:

Kate  would first start with 5  [ since 1 - 4 ]  are rounded to 0

Starting with 5 thru 14  she will have ten 10s

15 - 24   she will have  ten 20s

25 - 34 she will have  ten 30s

.

.

.

.

.

85 - 94 she will have ten 90s

95 - 100   she will have six 100s

So.....her sum is

10  [10  + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90]  + 6 [100]

10  [ (10) (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) ] + 6[100]  

10 (10)  [  sum of the first nine positive integers ] + 6 [ 100]

100  [  (9)(10) / 2 ]  + 6[100]  

100 [ 45]  + 6[100]

100 [ 45 + 6 ]  

100 [ 51 ]

5100

Hence, The positive difference is 5100 - 5050  =  50

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Answer:

4

Step-by-step explanation:

1/3x = x-12 thatsthe equation you use