If 80% of 120 students passed the test, and (1)/(4) of these students received an A on the test, how many students received an A?
A 20 students
B 22 students
C 24 students
D 26 students

After considering all the given options we conclude that the standard error of the mean is 1.80, which is Option A under the condition that the mean is x = 40.0 minutes and the standard deviation is s = 56.9 minutes.

The formula derived for standard error of the mean (SEM) is expressed as:

SEM = σ/√n

Here,

SEM = standard error of the sample,

σ = sample standard deviation

n = sample size.

For the given  case, we have x = 40.0 minutes and s = 56.9 minutes for a sample size of 1000 employed adults in Chicago. Therefore,

SEM = s/√n

   = 56.9/√1000

   ≈ 1.80

Therefore, the answer is A) 1.80.

To learn more about standard error of the mean

https://brainly.com/question/30765693

#SPJ1

The complete question

A study of commuting times reports the travel times to work of a random sample of 1000 employed adults in Chicago. The mean is x = 40.0 minutes and the standard deviation is s = 56.9 minutes.

What is the standard error of the mean?

A) 1.80

B) 21.88

C) 6.99

D) 1.09

The fraction of the 400 counters is left in Bill's bag is 2/5.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total number of counters Bill has=400

Number of counters given to Samina = 35

Number of counters given to Henry = 50

Number of counters given to Lucas = 75

Now, Number of counters left in the bag

= 400-(35+50+75)

= 400 - 160

= 240

So, the Fraction of counters left in the bag

= 240/400

= 3/5

Hence, the fraction of the 400 counters is left in Bill's bag is 2/5.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ4

Answer:

64

Explanation:

If the garden is a square shape then all sides are equal.

One and all sides are 8 meters.

8 times 8 is 64

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

learn more on angles here: https://brainly.com/question/17043791

#SPJ1

To find the least upper bounds (LUB) and greatest lower bounds (GLB) for the poset ⟨X, /⟩, we need to determine the LUB and GLB of pairs of elements in X under the relation R.

Let's first find the LUB for each pair:

LUB(1, 2) = 2/1 = 2

LUB(1, 3) = 3/1 = 3

LUB(1, 4) = 4/1 = 4

LUB(1, 6) = 6/1 = 6

LUB(1, 12) = 12/1 = 12

LUB(2, 3) = 3/1 = 3

LUB(2, 4) = 4/2 = 2

LUB(2, 6) = 6/2 = 3

LUB(2, 12) = 12/2 = 6

LUB(3, 4) = 4/1 = 4

LUB(3, 6) = 6/3 = 2

LUB(3, 12) = 12/3 = 4

LUB(4, 6) = 6/2 = 3

LUB(4, 12) = 12/4 = 3

LUB(6, 12) = 12/6 = 2

Now let's find the GLB for each pair:

GLB(1, 2) = 1/2 = 0.5

GLB(1, 3) = 1/3 = 0.33

GLB(1, 4) = 1/4 = 0.25

GLB(1, 6) = 1/6 = 0.16

GLB(1, 12) = 1/12 = 0.08

GLB(2, 3) does not exist since there is no element x in X such that x ≤ 2 and x ≤ 3 simultaneously.

GLB(2, 4) = 2/4 = 0.5

GLB(2, 6) = 2/6 = 0.33

GLB(2, 12) = 2/12 = 0.16

GLB(3, 4) does not exist since there is no element x in X such that x ≤ 3 and x ≤ 4 simultaneously.

GLB(3, 6) = 3/6 = 0.5

GLB(3, 12) = 3/12 = 0.25

GLB(4, 6) = 4/6 = 0.66

GLB(4, 12) = 4/12 = 0.33

GLB(6, 12) = 6/12 = 0.5

To summarize:

The least upper bounds (LUB) are: {2, 3, 4, 6, 12}

The greatest lower bounds (GLB) are: {0.08, 0.16, 0.25, 0.33, 0.5}

Learn more about elements  here

https://brainly.com/question/31950312

#SPJ11

Answer:

-72

Step-by-step explanation: 9x-1= -9 and 8x+8= 8 and then parenthesis around both equations, which mean multiply, so -9 x 8= -72 .

Answer:

0.00035

Step-by-step explanation:

0.0005×0.007 ×100

—————-------

1

0.0000035 ×100

0.00035

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

Visit here to learn more about correlation coefficient  : https://brainly.com/question/27226153
#SPJ11

Mena will finish on her last piece of equipment at 4:45 pm.

The possible orders in which Mena could use the four pieces of equipment are:

STBR, SBTR, SRBT, SRTB, BSTR, BTSR, BRST, BRTS, RSTB, RBTS, RTSB, RTBS

If Mena has a 3 minute break between each piece of equipment and she spends 11 minutes on the stepper, 15 minutes on the treadmill, 48 minutes on the bike, and 1 hour and 25 minutes on the rower, she will finish on her last piece of equipment at:

After 11 minutes on the stepper, the time will be 2:08 pm.

After 3 minute break, the time will be 2:11 pm.

After 15 minutes on the treadmill, the time will be 2:26 pm.

After 3 minute break, the time will be 2:29 pm.

After 48 minutes on the bike, the time will be 3:17 pm.

After 3 minute break, the time will be 3:20 pm.

After 1 hour and 25 minutes on the rower, the time will be 4:45 pm.

So, Mena will finish on her last piece of equipment at 4:45 pm.

For more such question on Time

https://brainly.com/question/17146782

#SPJ4

The probability that the ems can meet the demand for an ambulance at location a is given as follows:

0.406.

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

We are already given the proportions in this problem, hence the probability is obtained as follows:

Hence:

0.7 x 0.58 = 0.406.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

To find the equation of the tangent line at a given point, we follow the steps given below: We find the partial derivatives of the given function w.r.t x and y separately and then substitute the given point (1, 1) to get the derivative of the curve at that point.

In order to calculate ((g)/(f))(1), we need to first calculate g/f. Hence, let's calculate both g(x) and f(x)g(x) = (-5 + x)(-4 + x)

= 20 - 9x + x^2

and f(x) = -7 + 8x
Now, let's divide g(x) by f(x)g/f = g(x)/f(x)

= ((20 - 9x + x^2))/(8x - 7)

Now, let's substitute x = 1g/f (1)

= ((20 - 9(1) + (1)^2))/(8(1) - 7)

= (12/1)

= 12

Therefore,  the denominator cannot be 0. Therefore, let's set the denominator to 0 and solve for x 8x - 7 = 0

⇒ 8x = 7

⇒ x = 7/8

Therefore, the denominator becomes 0 at x = 7/8.

Hence, x = 7/8 is not in the domain of (g)/(f).

Therefore, ((g)/(f))(1) = 12.

And, x = 7/8 is not in the domain of (g)/(f). In order to calculate ((g)/(f))(1), we need to first calculate g/f. Hence, let's calculate both g(x) and f(x)g(x) = (-5 + x)(-4 + x)

= 20 - 9x + x^2 and

f(x) = -7 + 8x

Now, let's divide g(x) by f(x)g/f = g(x)/f(x)

= ((20 - 9x + x^2))/(8x - 7)

For (g)/(f) to be defined, the denominator cannot be 0. Therefore, let's set the denominator to 0 and solve for x 8x -7 = 0 ⇒ 8x = 7

⇒ x = 7/8

Therefore, the denominator becomes 0 at x = 7/8.

Hence, x = 7/8 is not in the domain of (g)/(f).

To know more about derivatives visit:

https://brainly.com/question/29144258

#SPJ11

Answer:

9.423

Step-by-step explanation:

Using 3.141 as Pi

Using the Arc length equation:

Arc length = \(\pi d * angle/360\)

As the angle of the missing section is 90 degrees, and all angles around a point must be 360 degrees, it leaves 360-90 = 270 degrees for the angle.

As the radius is 2, the diameter is twice the length of the radius so 2*2 = 4 so the diameter is 4.

\(\pi 4 * 270/360\)

3.141 * 4 = 12.564

270/360 = 0.75

12.564 * 0.75 = 9.423

So 9.423 is the arc length.

Answer:

False

Step-by-step explanation:

5x+3y =-4

Substitute the point into the equation and see if it is true

5(4) +3(6) = -4

20 +18 = -4

38 = -4

This is false so the point is not a solution

Answer:

No.

Step-by-step explanation:

5x + 3y = -4

For (4, 6) to be a solution, 4 must be put in for x and 6 for y and the solution must be -4.

(5 * 4) + (3 * 6) = 20 + 18 = 38

Since 38 is NOT equal to -4, (4, 6) is not a solution.

Hope this helps!

The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 when we can just write the table of 3 all terms.

Given that,

We have to find the 10 multiples of 3.

We know that,

We can find the multiples of a number by counting the digits. A multiple in mathematics refers to the outcome or output of multiplying two numbers together.

The Least Common Multiple is the smallest common multiple of two or more numbers (Least Common Multiple).

The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.

Therefore, The 10 multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 when we can just write the table of 3 all terms.

To learn more about multiple visit: https://brainly.com/question/5992872

#SPJ4

Answer:

\(\sf x = 1 + 2\sqrt{3}\)

Explanation:

In a right angle triangle, the hypotenuse is the longest side.

Here the given sides are (x + 1) cm, (x + 2) cm, (x + 4) cm.

where (x + 4) is the longest side among all the side lengths.

Apply Pythagoras theorem:

(leg 1)² + (leg 2)² = (hypotenuse)²

substitute values

\(\sf (x + 1)^2 + (x + 2)^2 = (x + 4)^2\)

\(\sf x^2 + 2x + 1 + x^2 + 4x + 4 = x^2 + 8x + 16\)

\(\sf x^2 + x^2 - x^2 + 2x + 4x - 8x + 1 + 4 - 16 = 0\)

\(\sf x^2 - 2x - 11 = 0\)

use quadratic formula

\(\sf \dfrac{-(-2)\pm \sqrt{(-2)^2 - 4(1)(-11)} }{2(1)}\)

\(\sf \rightarrow \dfrac{2\pm \sqrt{48} }{2}\)

\(\sf \rightarrow 1\pm \sqrt{48}\)

\(\sf \rightarrow 1\pm 2\sqrt{3}\)

\(\sf \rightarrow 1+ 2\sqrt{3} \:\ or \:\ 1 -2\sqrt{3}\)

\(\sf \rightarrow 4.46 \:\ or\:\ -2.46\)

As length can only be positive, the value of x will be 1 + 2√3.

Answer:

no solution

Step-by-step explanation:

-2(4 - 3x) – 6x = 10

Distribute the -2

-8 +6x -6x = 10

Combine like terms

-8 = 10

This is not true so there is no solution

Answer:

81x because 9x9=81x so 81x is your answer

Answer:

49 runners.

Step-by-step explanation:

Hello! Let's help you there!

So, to start, it looks like you have the basis of what you're trying to accomplish and it seems like you're almost there too!

So you know that it's the percentage you need to figure out and divide by 100, it's the second numerator that you're trying to figure out. Since we don't necessarily know what the is/part of the equation, we can use a variable to be able to figure out what the is/part well, is.

When we set it up, it's as such:

\(\frac{28}{100}=\frac{x}{175}\)

We're going to be using the letter x, to represent the unknown number that we're trying to figure out.

In order to solve it, we first cross-multiply. We take the numerator of the first fraction and multiply it by the denominator of the second fraction and the exact same for the denominator of the first fraction and the numerator of the second fraction. So we get:

\(28*175=100x\)

Now we can evaluate \(28*175\) and simplify that down to:

\(28*175=4900\)

Now it becomes:

\(4900=100x\)

In order to figure out our mystery value, we want to get rid of the 100 in front of the x. Since it is multiplied to x, we can divide it by 100 to get rid of the 100 in front of the x, but at the same time, we must divide it as well on the other side, so it becomes:

\(\frac{4900}{100} =\frac{100x}{100}\)

Now the answer becomes:

\(49=x\)

Therefore, our mystery value is 49 runners stopped to take a drink!

Answer:

First Problem. 17x , 17 + x, and 7x + 10x

Second Problem. 2 + 12y, 2x1 + 2x6y

Step-by-step explanation:

To design the optimal contract that induces both workers to exert effort all the time, consider the following steps:

1. Determine the joint probabilities of success for each combination of efforts:
  - Both workers shirk: Probability of success is p0.
  - One worker shirks and the other works hard: Probability of success is p1.
  - Both workers work hard: Probability of success is p2.

2. Identify the complementarity or substitutability of workers' efforts:
  - Since p2 > p1 > p0, the workers' efforts are complementary. This means that the success probability increases when both workers exert effort, as compared to only one worker doing so.

3. Design the optimal contract based on complementarity:
  - The principal should offer a contract with a bonus B, paid only if the project is successful.
  - To incentivize both workers to exert effort, the bonus should satisfy the following condition:
    B > 2c / (p2 - p1)

This ensures that the benefit of exerting effort (i.e., receiving the bonus) outweighs the cost of effort (c) for both workers. Since the workers' efforts complement each other, they will be more likely to exert effort knowing that their combined efforts increase the probability of project success and receiving the bonus.

In summary, the optimal contract should offer a bonus B that satisfies B > 2c / (p2 - p1) and is paid only upon project success. This contract incentivizes both workers to exert effort all the time, as their efforts complement each other and increase the probability of project success.

Learn more about probabilities :

https://brainly.com/question/30034780

#SPJ11

False. Calculating standard error is indeed important in statistics, as it serves a different purpose than the regular standard deviation of a single data set.

While standard deviation measures the variability or dispersion within a data set, standard error is used to measure the accuracy of a sample mean as an estimate of the true population mean.
1. Standard deviation measures the dispersion or spread of data points in a single data set. It helps you understand how much the individual data points deviate from the mean (average) of that data set.
2. Standard error, on the other hand, is a measure of how accurate a sample mean is in estimating the true population mean.

It is calculated by dividing the standard deviation of the sample by the square root of the sample size (n).
Standard Error (SE) = Standard Deviation (SD) / √n
3. As the sample size increases, the standard error decreases, indicating that the sample mean becomes a more accurate estimate of the population mean.

This is because larger sample sizes tend to have a smaller sampling error.
4. In hypothesis testing and confidence interval estimation, standard error plays a crucial role.

It helps to determine the margin of error and to assess the significance of differences between sample means.
5. While standard deviation is a useful measure for understanding variability within a single data set, standard error is essential for making inferences about the population based on the sample data.
In conclusion, both standard deviation and standard error are important in statistics as they serve different purposes. Ignoring standard error would lead to inaccurate conclusions about the population mean based on sample data.

For similar question on variability.

https://brainly.com/question/13090757

#SPJ11

To represent the fraction model, we can draw a rectangle divided into equal parts.

We can shade one-third (1/3) of the rectangle and then find the product of this shaded portion with three-sevenths (3/7). The resulting value represents the fraction 1/3 of 3/7.

To visualize the fraction model, draw a rectangle and divide it into three equal parts horizontally. Shade one of these parts to represent one-third (1/3) of the whole rectangle. Next, divide the shaded portion into seven equal parts vertically to represent seven equal parts of the one-third (1/3) portion.

To find the value of 1/3 of 3/7, we need to multiply these two fractions. Multiplying the numerators (1 * 3) gives us 3, and multiplying the denominators (3 * 7) gives us 21. Therefore, 1/3 of 3/7 is equal to 3/21. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor (which is 3), we get 1/7 as the final result.

In number sentence form, 1/3 of 3/7 can be expressed as (1/3) * (3/7) = 3/21 = 1/7.

To learn more about rectangle click here:

brainly.com/question/15019502

#SPJ11

Answer:

1^13=1^15

Step-by-step explanation:

1 times 1 is always 1

Answer:

16,886

Step-by-step explanation:

The last answer! Pls mark me brainly!

Answer:

\(500.37 \times 4390x = 73017 \\ 2196624.3x = 73017 \\ x = 0.03324\)

Answer:

6. No. See explanation below.

7. 18 months

8. 16

Step-by-step explanation:

6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.

Let's find the GCF of 85 and 99:

85 = 5 * 17

99 = 3^2 + 11

5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.

Answer: No because the GCF of 85 and 99 is 1.

7.

We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.

6 = 2 * 3

9 = 3^2

LCM = 2 * 3^2 = 2 * 9 = 18

Answer: 18 months

We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.

Month                Charlie          Dasha

1                          home             home

2                          home             home

3                          home             home

4                          home             home

5                          home             home

6                         trip                home

7                          home             home

8                          home             home

9                          home             trip

10                         home             home

11                         home             home

12                         trip               home

13                         home             home

14                         home             home

15                         home             home

16                         home             home

17                         home             home

18                         trip                 trip

Answer: 18 months

8.

First, we find the prime factorizations of 96 an 80.

96 = 2^5 * 3

80 = 2^4 *5

GCF = 2^4 = 16

Answer: 16

Answer: D

Step-by-step explanation:

The weighted average of correlations found in studies of a particular relationship is called the meta-analytic correlation.

Meta-analysis is a statistical technique that combines the results of multiple studies to arrive at an overall estimate of the strength and direction of a relationship or effect. In meta-analysis, the meta-analytic correlation is typically calculated by weighting the individual study correlations by their sample sizes or other relevant factors, such as the precision of the measurement instrument or the quality of the study design.

The average—the midpoint of the supplied data set—is established by adding together all the figures and dividing the sum by the quantity of statistics provided. The average value is the number with the most data display capacity. In our daily lives, the average computation frequently appears.

To know more about average visit:

brainly.com/question/24057012

#SPJ1