HELP!!! im running out of time

student is selected at random what is the probability the student is a female junior

If the cast consists of 2 women and 2 men, we need to select 2 women out of 8 and 2 men out of 6. The order in which they are selected does not matter, so we use combinations.

The number of ways to select 2 women out of 8 is denoted as C(8, 2), which can be calculated as:

C(8, 2) = 8! / (2! * (8-2)!) = (8 * 7) / (2 * 1) = 28

Similarly, the number of ways to select 2 men out of 6 is denoted as C(6, 2), which can be calculated as:

C(6, 2) = 6! / (2! * (6-2)!) = (6 * 5) / (2 * 1) = 15

To find the total number of different casts that can be selected, we multiply the two combinations:

Total number of different casts = C(8, 2) * C(6, 2) = 28 * 15 = 420

Therefore, there are 420 different casts that can be selected.

If the cast consists of 2 women or 2 men, we have two scenarios: either 2 women and 2 men are selected, or 4 men are selected.

For the first scenario (2 women and 2 men):

We can use the same calculation as in question 1, which gives us 420 different casts.

For the second scenario (4 men):

We need to select 4 men out of 6. Again, using combinations:

C(6, 4) = 6! / (4! * (6-4)!) = (6 * 5) / (2 * 1) = 15

Therefore, there are 15 different casts that can be selected with 4 men.

To find the total number of different casts, we add the results of both scenarios:

Total number of different casts = 420 + 15 = 435

Therefore, there are 435 different casts that can be selected if the cast consists of either 2 women or 2 men.

Learn more about Selection of objects  here:

https://brainly.com/question/31041924

#SPJ11

The concept given is Sampling, which selects the group that you will actually collect data from in your research. The answer is option B, ​True; because it is often the case that the individuals who volunteer do not accurately represent the population.

Sampling is the selection of a subset of individualities from within a statistical population to estimate the characteristics of the whole population. Statisticians essay to collect samples that are representative of the population in question.

Frequently, voluntary response samples oversample people who have strong opinions and under-sample people who do not watch important about the content of the check. Therefore consequences from a voluntary response sample aren't as secure as conclusions grounded on an arbitrary sample of the entire population under consideration.

Volunteer slice doesn't induce a representative sample, so, thus, would not be the favored choice of experimenters who were keen to be suitable to generalize their data to the whole population.

To know more about Sampling,

brainly.com/question/28196409

#SPJ4

6840 possible ways can the parents give the kids their phones, providing no kid desires the service provider a sibling has and that there are 20 service providers.

Given that,

Laura's parents have chosen to purchase new (similar) telephones for her and her two younger brothers on her birthday. They are bewildered by the numerous service providers, though.

We have to find how many different ways can the parents give the kids their phones, providing no kid desires the service provider a sibling has and that there are 20 service providers.

We know that,

20 choices for child 1 leaves

19 choices for child 2 leaves

18 choices for child 3

By multiplication

20x19x18 = 6840 possible ways.

Therefore, 6840 possible ways can the parents give the kids their phones, providing no kid desires the service provider a sibling has and that there are 20 service providers.

To learn more about service visit: https://brainly.com/question/19169045

#SPJ4

The polynomial has two terms:

then, it is a binomial.

To find the degree of the first term, we need to add the exponents of each variable. The exponent of variable a is 3 and of variable b is 1, then the degree of the first term is: 3 + 1 = 4.

Considering the second term, the exponent of variable a is 2, the exponent of variable b is 1, and the exponent of variable c is 2, then the degree of the second term is: 2 + 1 + 2 = 5.

The degree of the polynomial is equal to the greatest degree of each term. Therefore, the degree of this polynomial is 5.

Answer:

$43.20 is the answer

Step-by-step explanation:

I just did it

If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Learn more about variable here:

https://brainly.com/question/29696241

#SPJ11

Answer:

19,188

Step-by-step explanation:

hope this helps ;)

Theree numbers that follows given conditions are: 26, 19 and 38

Let a, b and c be three numbers.

We have been given the sum of three numbers is 83.

So, we get an equation a + b + c = 83              ............(1)

The third number is two times the second.

So, we get an equation,

c = 2b                              ...............(2)

The second number is seven less than the first.

So, we get an equation ,

b = a - 7                            

i.e., a = b + 7             ...............(3)

Substitute these values of a and c in equation (1)

b + 7 + b + 2b = 83

4b + 7 = 83

4b = 76

b = 19

Substitute this value of equation (2) and (3),

a = b + 7

a = 19 + 7

a = 26

and c = 2b

c = 2 * 19

c = 38

Therefore, the required numbers are: 26, 19 and 38

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ4

The complete question is:

The sum of three numbers is 83. The third number is two times the second. The second number is seven less than the first. What are the numbers

Answer:

A

Step-by-step explanation:

The sum of angles in a quadrilateral is 180

\((x - 5) + (x + 35) + 1.4x + x = 360\)

\(2x + 30 + 1.4x + x = 360\)

\(4.4x + 30 = 360\)

\(4.4x = 330\)

\(x = 75\)

\(x = 75\)

\((x - 5) = 70\)

\((x + 35) = 110\)

\(1.4x = 105\)

\(x = 75\)

Answer:

A. 75°, 70°, 110°, 105°, 75°

Step-by-step explanation:

As the figure says, the sum of all the angles is 360 degrees, thus, write down:

\((x-5)+(x+35)+1.4x+x=360\)

And solve for x:

\((x-5)+(x+35)+1.4x+x=360\\4.4x-5+35=360\\4.4x+30=360\\4.4x=330\\x=75\)

Replace x into the other angles and solve:

\(A_1=(75-5)=70\\A_2=(75+35)=110\\A_3=1.4(75)=105\\A_4=75\)

Choice A shows all the correct angle measures, therefore, A is the correct answer.

Answer:

a: 1

b: 13

Step-by-step explanation:

a: -7 + 6 = -1. distance from zero makes that positive

b: -7 is changed to 7, 7 + 6 = 13

The answer is that the volume of the moon is 3.67% of the volume of the planet.

Percentage is a way of expressing a fraction or proportion out of 100. It is commonly used in many different areas such as finance, math, science, and everyday life.

The diameter of the planet is 22,204 miles. Therefore, its radius is half of that, which is 11,102 miles.

The diameter of the moon is 26% of the diameter of the planet. Therefore, its diameter is:

0.26 × 22,204 = 5,768.24 miles

The radius of the moon is half of its diameter, which is 2,884.12 miles.

The volume of a sphere is given by the formula:

V = (4/3)πr³

Using this formula, we can find the volume of the planet and the volume of the moon:

Volume of planet = (4/3)π(11,102)³ ≈ 5.97 × 10¹¹ cubic miles

Volume of moon = (4/3)π(2,884.12)³ ≈ 2.19 × 10¹⁰ cubic miles

The fraction of the volume of the planet that is occupied by the moon is:

Volume of moon / Volume of planet = (2.19 × 10¹⁰) / (5.97 × 10¹¹) ≈ 0.0367

Therefore, the answer is that the volume of the moon is 3.67% of the volume of the planet.

To know more about percentages visit:

brainly.com/question/24877689

#SPJ1

To determine which is greater, we can calculate the area of each bubble and compare them.

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

For the single bubble with a radius of 7 cm, the area would be:

A = π(7 cm)^2 = 153.94 cm^2

For each of the seven bubbles with a radius of 1 cm, the area would be:

A = π(1 cm)^2 = 3.14 cm^2

The total area of all seven bubbles would be:

Total area = 7 x 3.14 cm^2 = 21.98 cm^2

Comparing the two areas, we can see that the area of the single bubble with a radius of 7 cm is greater than the total area of the seven bubbles with a radius of 1 cm.

Therefore, the area of a bubble with a radius of 7 cm is greater than the total area of seven bubbles, each with a radius of 1 cm.

Jill should expect an additional 30 to 45 hours of homework each week.

As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.

However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.

Learn more on Simple Addition here:

https://brainly.com/question/29480247

#SPJ4

According to the question,

Time taken by Jesse to run 1 mile = 7 minutes

Also,

Time taken by Jesse to run 1 mile = 2½ minutes + Michael's time \(\;\)

Now, we can say that :

⇒ 7 minutes = 2½ minutes + Michael's time

⇒ (7 - 2½) minutes = Michael's time

⇒ (7 - 5/2) minutes = Michael's time

⇒ (14 - 5)/2 minutes = Michael's time

⇒ 9/2 minutes = Michael's time

⇒ 4½ minutes = Michael's time [Answer]

Step-by-step explanation:

Question:-In track practice, Jesse ran a mile in 7 minutes. His mile time was2.5 minutes faster than Michael's time. Write and solve an equation to calculate Michael's mile time.

Solution

Jessie time 7 minute

Michael’s time is 2.5 times slower

Divide 7 minutes by 2.5 to get answer

Jesse = 7

Michael = 2.5 X

7 = 2.5 X

7/2.5 X = 17.5 to check answer divide 17.5 by the 2.5, your answer is 7.

Or if it was 2.5 more

we subtract 2.5 from 7

=> 7 - 2.5

=> 4.5

=> 4 ½

----

Required function is f(x) = 2x-3.

What is function?

In mathematics, a function is a rule or a set of rules that assigns a unique output value to each input value. In other words, it is a way of relating one quantity to another. Functions are used in a variety of fields, such as engineering, physics, economics, and computer science, to describe relationships between variables.

An example of a function is the quadratic function f(x) = x² + 2x + 1. This function takes an input value x and produces an output value that is the result of squaring x, multiplying it by 2, and adding 1. For instance, if we substitute x = 3 in the function, we get:

f(3) = 3² + 2(3) + 1 = 9 + 6 + 1 = 16

To determine which function represents the data in the table, we need to substitute the given values of x into each function and compare the results with the corresponding values of f(x) given in the table.

If we use the function f(x) = 2x-3, we get:

f(0) = -3

f(1) = -1

f(2) = 1

f(3) = 3

f(4) = 5

f(5) = 7

We can see that these values match with the values given in the table, so the function that represents the data in the table is:

f(x) = 2x-3.

Therefore, we can conclude that the function f(x) = 2x-3 represents the data in the table.

Learn more about function here,

https://brainly.com/question/31295673

#SPJ1

From calculations, we can see that the number of smaller boxes to completely fill the larger one are; 250 boxes

The volume of a cuboid is given by the formula;

Volume = Length * Width * Height

Looking at the given dimensions of the larger box in the cuboid image attached, we can calculate the volume as;

Volume = 50 * 30 * 20

Volume = 30000 cm³

The length , width and height of smaller box are 10 cm, 3 cm and 4 cm respectively. Thus, the volume of smaller box is;

volume = 10 * 3 * 4

volume = 120 cm³

Thus, the number of smaller boxes to completely fill the larger one are;

n = 30000/120

n = 250 boxes

Read more about Volume of Cuboid at; https://brainly.com/question/46030

#SPJ1

A regular linear regression model is statistically helpful in providing a good fit to the information that can be used to make precise predictions about new information agendas.

A linear regression model is useful when the explanation of a significant amount of variation of the dependent variable utilizes one or more independent variables. The usability of a linear regression model can be comprehended by examining various statistical measures for instance

R-squared value of 1 shows that all of the changes in the dependent variable are elaborated by the independent variable, Hence, an R-squared value of 0 points that none of the variations is elaborated

To learn more about linear regression ,

https://brainly.com/question/25987747

#SPJ4

i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).

j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).

i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).

j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).

Learn more about multiplication here:

https://brainly.com/question/29563927

#SPJ11

The distributed computation (e, →) is said to be consistent if all computations lead to the same result, regardless of the order in which the steps are performed.

Let g and h be consistent cuts of a distributed computation (e, →).

We must demonstrate that g ∪ h and g ∩ h are also consistent cuts of (e, →).

Let R be the set of events that are in both g and h. If we remove R from either g or h, we get a consistent cut since the removed events cannot cause a change in the outcome.

By removing R from both g and h, we obtain two new consistent cuts: g − R and h − R.

Thus, we can write:g = (g − R) ∪ R and h = (h − R) ∪ R. Since (g − R) and (h − R) are consistent cuts, it follows that their union, g ∪ h, is also a consistent cut. I

f we let S be the set of events that are in both g and h, then we can write:g = (g ∩ h) ∪ (g − S) and h = (g ∩ h) ∪ (h − S).

Again, (g − S) and (h − S) are consistent cuts, so their intersection, g ∩ h, is also a consistent cut.

Therefore, if g and h are consistent cuts of a distributed computation (e, →), then so are g ∪ h and g ∩ h.

To know more about superset visit:

https://brainly.ph/question/2206836

#SPJ11

Step-by-step explanation:

7z-5=4y-6

-4y=-6-7z+5

-4y=-1-7z

y=1/4+7/4z

y=7/4z+1/4

7z=4y-6+5

7z=4y-1

z=4/7y-1/7

a. The Red Sea trough refers to a dip in the upper-level height originating over the eastern Mediterranean moving southeastward, and deepening over the Red Sea.

b. This weather phenomenon manifests itself as it causes a sudden drop in temperatures, thunderstorms, and dust storms.

c. The Red Sea trough presents a challenge to weather forecasting as it is hard to predict when the trough will develop.

d. The Red Sea trough presents several hazards as causes heavy rainfall, strong winds, and a sudden drop in temperatures.

The Red Sea trough is one of the familiar weather patterns in Jordan. It is seen both in spring and fall.

a. The Red Sea trough is a dip in the upper-level height that originates over the eastern Mediterranean, advances southeastward, and deepens over the Red Sea. During the fall and spring seasons, this trough becomes more profound and generates a shallow low-pressure system over the Levant region, resulting in a northwesterly to northeasterly wind.

b. This weather phenomenon manifests itself in terms of weather in several ways. They are as follows:

c. The Red Sea trough presents a significant challenge to weather forecasting. It is difficult to predict when the trough will develop and the magnitude of its impacts on weather. The weather forecasters struggle to estimate the movement of the trough, its depth, and intensity, and the amount of rain and wind it will produce. As a result, the meteorological department often issues warnings and alerts, but the severity and impact of the weather are not always accurately forecasted.

d. The Red Sea trough presents several hazards. They are as follows:

Learn more about Pressure system:

https://brainly.com/question/27346130

#SPJ11

Answer:

y = 3/4x - 6 1/4

Step-by-step explanation:

I hope that the slope 3 4 - - means 3/4

Slope = 3/4

Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"

y = mx + b

-7 = 3/4(-1) + b

-7 = -3/4 + b

-7 + 3/4 = b             3/4 as a decimal = .75

-7 + .75 = b

-6.25 = b

The equation of the line is y = 3/4x - 6.25  or y = 3/4x - 6 1/4

Answer:

(2x + 7) feet

Step-by-step explanation:

I'm guessing the expression there is

4x² + 28x + 49

4x² +14x +14x +49

Factorize

2x ( 2x + 7) +7( 2x + 7)

(2x + 7)²

Area = (side)1

One side is (2x +7)

Among the given options for input statements involving int variables X and y, the valid option is b) cin >> x >> y.

This statement uses the extraction operator (>>) to read input values and assign them to the variables x and y consecutively. The extraction operator allows for multiple inputs in a single line, separated by spaces or other delimiters.

This statement ensures that two integer values can be entered and stored correctly in the variables x and y. The extraction operator (>>) is commonly used with the cin object in C++ for input operations. It facilitates convenient and efficient input handling for multiple variables in a single statement.

Learn more about C++ here -: brainly.com/question/24802096

#SPJ11

Answer:

100m²

Step-by-step explanation:

Area of trapezoid= ½×h×(a+b)

½×10×(8+12)

=5×20

=100m²

Answer:

100m²

Step-by-step explanation:

The correct option is AV > 0. This indicates that work is being done on the system and the system's kinetic energy is increasing.

The work done on the system is always positive when the applied force and the displacement of the system are in the same direction (AV > 0).

To understand this, let's consider the definition of work. Work is given by the dot product of the force vector (F) applied to the system and the displacement vector (d) of the system:

Work = F · d

The dot product of two vectors is positive when the angle between them is less than 90 degrees, indicating that they are in the same direction. When the force and displacement are in the same direction, the work done on the system is positive.

If the force and displacement are in opposite directions, the dot product will be negative, and the work done on the system will be negative (AV < 0). This would imply that work is being done by the system rather than on the system.

In the case where the applied force is zero (AV = 0), no work is done on the system as there is no force acting to cause a displacement.

The change in mechanical energy (AE) of the system being greater than zero (AE > 0) does not guarantee that the work done on the system is always positive. AE > 0 indicates that the system's mechanical energy has increased, but it doesn't provide information about the work done specifically. Therefore, the correct option is AV > 0.

Learn more about degree here:

https://brainly.com/question/32450091

#SPJ11

To determine if the mean launch temperature for flights with o-ring damage is significantly less than for flights with no o-ring damage, we can perform a two-sample t-test with equal variances. Here are the steps:

Step 1: Calculate the sample means and standard deviations for each group:

For flights with o-ring damage:

Sample mean: (43 + 57 + 58 + 63 + 70 + 70 + 75) / 7 = 63.14

Sample standard deviation: 13.42

For flights with no o-ring damage:

Sample mean: (66 + 67 + 67 + 67 + 68 + 69 + 70 + 70 + 72 + 73 + 75 + 76 + 76 + 78 + 79 + 81) / 16 = 72.56

Sample standard deviation: 5.69

Step 2: Calculate the pooled standard deviation:

s_p = sqrt(((n1-1)*s1^2 + (n2-1)*s2^2) / (n1+n2-2))

where:

n1 = sample size of flights with o-ring damage = 7

n2 = sample size of flights with no o-ring damage = 16

s1 = sample standard deviation of flights with o-ring damage = 13.42

s2 = sample standard deviation of flights with no o-ring damage = 5.69

s_p = sqrt(((7-1)*13.42^2 + (16-1)*5.69^2) / (7+16-2)) = 9.88

Step 3: Calculate the t-test statistic:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 = sample mean of flights with o-ring damage = 63.14

x2 = sample mean of flights with no o-ring damage = 72.56

s_p = pooled standard deviation = 9.88

n1 = sample size of flights with o-ring damage = 7

n2 = sample size of flights with no o-ring damage = 16

t = (63.14 - 72.56) / (9.88 * sqrt(1/7 + 1/16)) = -2.70

Step 4: Calculate the degrees of freedom:

df = n1 + n2 - 2 = 7 + 16 - 2 = 21

Step 5: Determine the critical value of t at 5% level of significance and the corresponding p-value:

At 5% level of significance and 21 degrees of freedom, the critical value of t is ±2.08 (from a t-distribution table or calculator).

The p-value for a two-tailed test with t = -2.70 and df = 21 is 0.013 (from a t-distribution table or calculator).

Step 6: Compare the t-test statistic with the critical value and the p-value with the level of significance:

Since the absolute value of the t-test statistic (-2.70) is greater than the critical value of t at 5% level of significance (2.08), we reject the null hypothesis and conclude that there is a significant difference in mean launch temperature between flights with o-ring damage and flights with no o-ring damage.

Moreover, the p-value (0.013) is less than the level of significance (0.05), providing further evidence to reject the null hypothesis.

Therefore, we can say that the mean launch temperature for flights with o-ring damage is significantly less.

5. The line that contains the circumcenter in ΔABC is: line k.

6. The line that contains the orthocenter in ΔABC is: line m.

7. The line that contains the centroid in ΔABC is: line l.

8. The line that contains the centroid in ΔABC is: line n.

Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.

Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.

The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.

The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.

Learn more about centers of a triangle on:

https://brainly.com/question/16045079

Answer:

R= 24

Step-by-step explanation:

Have a nice day/night :)

Also if you you can may you please mark me brainliest

The value of r is,

⇒ r = 24

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ r/72 = 1/3

Now, We can simplify for r as;

⇒ r/72 = 1/3

⇒ r = 72 / 3

⇒ r = 24

Thus, The value of r is,

⇒ r = 24

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2