Suppose MCAT scores are distributed normally with a mean of 113 and a variance of 144. Calculate the standard error of the mean for a random sample of 27 participants. Group of answer choices 1.00 21.75 5.33 0.44 2.31

Answer:

D) 117

Step-by-step explanation:

All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.

Answer: don’t listen to that answer it’s at time 5 hours Sean and billy etc

AT TIME = 5 HOURS, SEAN AND BILLY BOTH MEASURE THE SAME PRODUCTIVITY

Step-by-step explanation:

I’m visual dude. Smart dude. So if u looo at x=5 the only intersection was with Tom and Billy. Not Sean.

Billy would probably be the most productive worker if these tendencies persisted, and Sean and Billy's productivity were assessed again in a few more hours. Thus, option B is correct.

The statement "If these trends continued and Sean and Billy's productivity was measured again in a few more hours, Billy would likely be the most productive employee" cannot be determined as true or false based on the given information.

While it is true that both Sean and Billy's productivity rates increased throughout the day, it is not clear how much they increased or if Billy's rate increased more than Sean's.

Therefore, it is uncertain whether Billy would be the most productive employee if their productivity rates were measured again in a few more hours.

Learn more about productivity here:

https://brainly.com/question/13061304

#SPJ1

By using the concept of probability, it can be calculated that

a) State space S(x) = {-1, 0, 1, 2}

b) The required probability mass function is

    P(X = -1) = \(\frac{125}{216}\)

    P(X = 0)  \(= \frac{25}{72}\)

    P(X = 1)  \(= \frac{5}{72}\)

    P(X = 2)  \(= \frac{1}{216}\)

c) Expected value of X  = -0.5

d) the stake of the gambler in  order to make this a fair game is $0.5

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

a) Let a number n be chosen between 1 and 6

Three fair six sided dice are thrown

The following cases can occur

1) Number n occur on none of the three dice

2) Number n occur on one dice

3) Number n occur on two dice

4) Number n occur on three dice

Let X denote your net win after one round of gambling (i.e., the payment received from the casino minus your stake)

1) X = 0  -1 = -1

2) X = 1 - 1 = 0

3) X = 2 - 1 = 1

4) X = 3 - 1 = 2

State space S(x) = {-1, 0, 1, 2}

b) P(X = -1) = \({3 \choose 0}(\frac{1}{6})^0(\frac{5}{6})^3 = (\frac{5}{6})^3 = \frac{125}{216}\)

    P(X = 0) = \({3 \choose 1})(\frac{1}{6})(\frac{5}{6})^2 = \frac{25}{72}\)

    P(X = 1) = \({3 \choose 2}(\frac{1}{6})^2\frac{5}{6} = \frac{5}{72}\)

    P(X = 2) = \({3 \choose 3}(\frac{1}{6})^3(\frac{5}{6})^0 = \frac{1}{216}\)

    The required probability mass function is

    P(X = -1) = \(\frac{125}{216}\)

    P(X = 0)  \(= \frac{25}{72}\)

    P(X = 1)  \(= \frac{5}{72}\)

    P(X = 2)  \(= \frac{1}{216}\)

c) Expected value of X = \(-1 \times \frac{125}{216} + 0 \times \frac{25}{72} + 1 \times \frac{5}{72} + 2\times \frac{1}{216}\)

                                      = \(\frac{-125 + 0 + 15 +2}{216}\\\)

                                      = \(-\frac{108}{125}\)

                                      = -0.5

d) The gambler looses $0.5 on a average

   So this is not a fair game

   Let the stake of the gambler in  order to make this a fair game be t

   By the problem,

   -0.5 + t = 0

     t = 0 + 0.5

     t = $0.5

To learn more about probability, refer to the link-

https://brainly.com/question/24756209

#SPJ4

Answer:

Step-by-step explanation:

The mathematical translation of the statement:

\(\sqrt{121} = \sqrt{11 *11}\)

        \(= \sqrt{11^{2}}\)

        \(= (11^{2}) ^{\frac{1}{2} }\)

The indices will cancel each other out completely:

        \(= 11\)

OR:

\(\sqrt{121} = \sqrt{(-11)*(-11)}\)

        \(= \sqrt{(-11)^{2} }\)

        \(= [(-11)^{2}] ^{\frac{1}{2} }\)

        = -11

Answer:

18.9 in.³

Step-by-step explanation:

volume of cone = (1/3)πr²h

volume of cylinder = πr²h

For both the cone and the cylinder,

r = d/2 = 2 in./2 = 1 in.

Cup A:

volume of cone = (1/3)πr²h

= (1/3)(π)(1 in.)²(3 in.)

= 3.1 in.³

Cup B:

volume of cylinder = πr²h

= (π)(1 in.)²(7 in.)

= 22.0 in.³

difference in volumes:

22.0 in.³ - 3.1 in.³ = 18.9 in.³

Answer:

the first one, and the fourth one

Step-by-step explanation:

1: Grace's work is x miles from her house. To get to work and back, she drives x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times.

4:Grace's work is x miles from her house. To get to work and back, she drives 2x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times.

Answer:

8-(-2)

minus,minus means magiging plus so,

8+2=10

Step-by-step explanation:

Mark me please

Answer:

it's A

Step-by-step explanation:

You have to use the linear regression program on your calculator to solve this as actually finding out the linear equation by hand would take a lot ton of time. To use the linear regression program (This is for TI-84 calculators) Hit stat. Then enter. Then the first column will be for X values and the second will be for Y values. To clear it you have to hover over the L1 or two and hit clear and then down. After you put in all the values hit stat again. Go to the calc section. Enter linear regression. Keep hitting enter until it tells you the value of the variables. A is what you could consider the slope. and then the b is what you could call the Y intercept. Hope this helps

a. To determine the percentage of vehicles that would fall in the "Other" category, we need to calculate the relative frequency of the "Other" category. The relative frequency is obtained by dividing the frequency of the "Other" category by the total frequency.

From the given information, we don't have the actual frequency for the "Other" category. It is mentioned that the table summarizes the data, but the specific frequency for the "Other" category is not provided. Without that information, we cannot calculate the percentage of vehicles falling in the "Other" category.

b. A bar graph can be created to display the data. However, since the specific frequencies are not provided, we cannot accurately construct the bar graph.

c. It would not be appropriate to make a pie chart of these data without knowing the specific frequencies. Pie charts represent proportions of a whole, and in this case, the whole would be the total number of vehicles sold worldwide. Without the exact frequencies, we cannot determine the proportions accurately and construct a meaningful pie chart.

Visit here to learn more about percentage  brainly.com/question/32197511
#SPJ11

Answer:

-3

Step-by-step explanation:

x² + x = 3

3 - 6 = -3

The the equation K = C + 273.15 when solved for c is C = K - 273.15

K = C + 273.15

K - 273.15 = C

Therefore,

C = K - 273.15

Complete question:

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.

Learn more about equation:

https://brainly.com/question/13763238

#SPJ1

Answer:

When solved for C, the equation is

C = K – 273.15

Step-by-step explanation:

The solution to 4 is a>-162. This is because the inequality can be rewritten as -162 > -21, meaning that any number greater than -162 will satisfy the inequality.

Inequality is the unequal distribution of opportunities, resources, or rights among people or groups. It can be found in wealth, income, health, education, access to services and resources, and legal rights. Inequality is a social phenomenon that affects people differently depending on race, gender, age, or background. Inequality can be a result of unequal access to resources, differences in power dynamics, or the unequal distribution of resources among people or groups. It can lead to disparities in health, education, and economic outcomes for those who experience it. Inequality can be addressed through policies that promote equity and inclusion, such as targeted education initiatives and access to employment opportunities.

The reason this is happening is because when solving inequalities, we must isolate the variable on one side of the inequality sign. In this case, we can do this by adding 162 to both sides of the inequality. This will move the -21 to the other side and the result is a>-162.

In order to ensure that the solution is correct, it is important to check the answer by substituting a value larger than -162 into the inequality. If the value satisfies the inequality, then the solution is correct.

To know more inequality click-
https://brainly.com/question/24372553
#SPJ1

The sοlutiοn tο 4 is a>-162. This is because the inequality can be rewritten as -162 > -21, meaning that any number greater than -162 will satisfy the inequality.

Inequality is the unequal distributiοn οf οppοrtunities, resοurces, οr rights amοng peοple οr grοups. It can be fοund in wealth, incοme, health, educatiοn, access tο services and resοurces, and legal rights. Inequality is a sοcial phenοmenοn that affects peοple differently depending οn race, gender, age, οr backgrοund. Inequality can be a result οf unequal access tο resοurces, differences in pοwer dynamics, οr the unequal distributiοn οf resοurces amοng peοple οr grοups. It can lead tο disparities in health, educatiοn, and ecοnοmic οutcοmes fοr thοse whο experience it. Inequality can be addressed thrοugh pοlicies that prοmοte equity and inclusiοn, such as targeted educatiοn initiatives and access tο emplοyment οppοrtunities.

The reasοn this is happening is because when sοlving inequalities, we must isοlate the variable οn οne side οf the inequality sign. In this case, we can dο this by adding 162 tο bοth sides οf the inequality. This will mοve the -21 tο the οther side and the result is a>-162.

In οrder tο ensure that the sοlutiοn is cοrrect, it is impοrtant tο check the answer by substituting a value larger than -162 intο the inequality. If the value satisfies the inequality, then the sοlutiοn is cοrrect.

To know more inequality click-

brainly.com/question/24372553

#SPJ1

Complete question:

What is the solution to 3/4a>-16?

a>-21 1/3

a<-21 1/3

a>21 1/3

a<21 1/3

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

Learn more about compound interest visit:

brainly.com/question/14295570

#SPJ11

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:  each-121      leftover: 5

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

The income plainness of demand for eatery reflections is Income plainness = 200/ 20 = 10

Chance is a way of expressing a volume as a bit of 100. It's frequently denoted using the percent symbol(), which represents" per hundred". For illustration, 25 is original to25/100 or0.25 as a numeric.

By question-

The income plainness of demand measures the responsiveness of the volume demanded of a good or service to a change in income, all other effects being equal .However, it means that the good is a normal good, and the volume demanded increases as income increases, If the income plainness is positive. However, it means that the good is an inferior good, and the volume demanded diminishments as income increases, If the income plainness is negative.

In this case, John's pay increased by 20 percent, and the average number of eatery reflections he consumed increased from one a week to three a week. We can calculate the income plainness of demand for eatery reflections as follows

Income plainness = chance change in volume demanded/ chance change in income

The chance change in volume demanded is

( 3 reflections per week- 1 mess per week)/ 1 mess per week) x 100 = 200

The chance change in income is 20

thus, the income plainness of demand for eatery reflections is

Income plainness = 200/ 20 = 10

Since the income plainness is positive and lesser than 1, we can conclude that eatery reflections are a luxury good for John. Option( b) is the correct answer.

To learn more about demand:

https://brainly.com/question/29703449

#SPJ1

Answer:

7 7/8

Step-by-step explanation:

Covert the mixed fractions into improper fractions to make this easier.

2 \(\frac{1}{4} and 3\frac{1}{2}\) into \(\frac{9}{4} (2*4 +1) and \frac{7}{2} (3*2+1)\). (In parenthesis, its the process of creating the improper fractions and not part of the fractions themselves.

Now you just multiply both together since 1 bag needs 2 1/4 kilograms and Anthony needs  3 1/2 bags.

That gets you \(\frac{63}{8}\) which you get by multiplying 9 and 7 in the numerator and 4 and 2 in the denominator

Finally, find out how many 8 goes into 63 which would be 7 times. 63-(7*8) = 7.

And so the answer is 7 7/8

Using the perimeter of a rectangle, the length of wire required is calculated as: 8.4 km.

A rectangle with a length of "l" and a width of "w" has a perimeter which is calculated using the formula below:

Perimeter of rectangle = 2(l + w).

The length of wire required = the perimeter of the island × 3

Length of the island = 0.9 km

Width of the island = 0.5 km

The length of wire required = 2(0.9 + 0.5) × 3

The length of wire required = 2(1.4) × 3

The length of wire required = 2.8 × 3

The length of wire required = 8.4 km.

Learn more about the perimeter of rectangle on:

https://brainly.com/question/24571594

#SPJ1

Answer:

30%

Step-by-step explanation:

Total population=15,000

kantipur=9000

gorkhapatra= 7500

Both magazine=40%

n(k intersection g)=40% of 15,000

=0.4*15,000

=6,000

n(k) =9000

n(g)=7500

n(A union B)= n(k) + n(g) -n(k intersection g)

=9000+7500-6000

=10,500

Population who do no read= Total population - n(A union B)

=15000-10500

=4500

Percentage population who do not read both magazine

=4,500/15,000 * 100

=0.3 * 100

=30%

Answer:

41

Step-by-step explanation:

please mark me as brainliest

The most specific name for the figure in the image is a  Rectangle. Option B

This is further explained below.

Generally, According to the principles of Euclidean geometry, a Rectangle is considered to be a regular quadrilateral since it has four sides of equal length amongst opp two sides

Another way to describe it is as a rectangle with two neighboring sides that have the same length.

The term coordinate is pronounced exactly the same as o-ordinate. When used as an adjective, these phrases might signify to have the same status or rank, to have something to do with coordination, or to have something to do with an intersection of indices.

In conclusion, A Rectangle is the most accurate description of the shape that can be seen in the picture. Alternative B

Read more about square

https://brainly.com/question/14198272

#SPJ1

Solution

Since we want to to arrange, we have to use permutation

Therefore, the answer is

By using the percent and division , The number of gingerbread cookies Liam get is 7

Percentage is nothing but how many number of elements are of one type out of 100. It means if we have total 100 number of elements and out of that 20 are of some specific color then these 20 elements are 20 percent of total 100 elements.

We have total 35 cookies and  includes two types of cookies, one is gingerbread cookies and another is sugar cookies.

x + y = 35

Let the number of gingerbread cookies be x and the number of sugar cookies be y

Given that 20 % of the total cookies, is gingerbread cookies,

x = 20% of 35

x =( 20/100)*35

x = 7

Therefore, we can say that number of gingerbread cookies are 7

To know more about percentage, visit:

https://brainly.com/question/16797504

#SPJ4

3 years: $36570

What I did:

So 6% of 11,500 is 690

\(11500+690=12190\)

\(12190*3=36570\)

5 years: $60950

What I did:

\(12190*5=60950\)

You dont have to do any extra work because you already have the money with the intrest rate. So all you had to do is multiply 12,190 by 5.

Answer:

4.54714 × 103

Step-by-step explanation: