How many different committees with 4 members can be formed from 9 students

50 apartments were randomly chosen by our pupils. We found 26 residences with owners. We could use this to determine our sample proportion, by the way. It will come out to 26 out of 50 and.52. We're going to conduct an experiment to test the hypothesis that your neighborhood's owner-occupied home percentage differs from the national average.

The null hypothesis will be the outcome of the test. The null hypothesis states that 69 is the actual proportion. The alternative is an alternate theory. We are endeavoring to determine whether the community is different from the country, per the inquiry. I'll concede that the actual ratio is not 0.69. It is necessary to find the test statistic. We are permitted to utilize the calculator function in the tests because this is an example Z test. Yes, a window. We could locate the single proportion Z if we went to the tests and clicked the stat. It's basically a test. The Christmas component cost 69 dollars. Out of 50 samples, 26 have resulted in success.

In our alternative, the true percentage is different from.69, therefore proportion does not equal zero proportion. A negative Z score of 2.599 will be the outcome in the end. The window gives us a p value of 9. We'll choose a resolution. We will compare the p value to our significance level. It doesn't specify the degree of relevance for this problem. We'll only use 5%. So, if our p value is less than the significance level, we would reject the null hypothesis, right? The sample proportion must be obtained. If the null hypothesis is true, it would be extremely rare, since our community has more owner-occupied homes than the national average, according to the data.

Learn more about hypothesis here;

https://brainly.com/question/29589812

#SPJ4

Yes, 10 can be replaced by a smaller number. Let's prove it first, then look for a smaller number of people.

Let us write the ages of these 10 people as a1, a2, a3, ... a10.According to the given statement,1 ≤ ai ≤ 60Thus, the age of every individual must be between 1 and 60.

Arrange these ages in a non-decreasing order.

Let's assume that no two groups can have the same sum of ages. Each group has either odd or even numbers of members. Hence, if there are an even number of members in the group, the sum of their ages will also be even. If the group has an odd number of members, the sum of their ages will also be odd.

This means that the 10 people can be divided into five groups, with the sum of the ages of each group being odd or even.

Let us consider two cases:

Case 1:

All five groups have odd sums. This implies that each group has an odd number of members, and the number of members in the group is either 1, 3, or 5. Since there are only 10 people, it is impossible to have five groups with an odd sum of ages. This is because there must be two groups that have the same sum of ages.

Case 2:

Three groups have an even sum, and two groups have an odd sum. This implies that there are two groups with an even number of members and three groups with an odd number of members. Since the ages of each individual are between 1 and 60, the sum of the ages of the members of the group with the most members must be at least 1 + 2 + 3 + 4 + 5 = 15.

Similarly, the sum of the ages of the members of the group with the least members must be at least 1 + 2 = 3. If we remove the members of the two smallest groups, we will be left with 6 members whose ages add up to at least 15 + 3 = 18, which is an even number.

This implies that the remaining three groups must have even sums, which contradicts our assumption that two groups do not have the same sum of ages. This proves that we can always find two groups of people (with no common person) the sum of whose ages is the same. The number 10 can be replaced with a smaller number, for example, 8.

To know more about numbers refer to-

brainly.com/question/17429689#
#SPJ11

Answer:

Whats your last question?

Answer:

whats the question tho?

Step-by-step explanation:

Answer:

803 m^2

Step-by-step explanation:

a = pi r^2

a = 3.14 (16^2)

a = 3.14 (256)

a = 803 m^2

A list that shows the possible outcomes of one day one method of travel:

Monday, bus,

Monday, subway,

Monday, taxi,

Tuesday, bus,

Tuesday, subway,

Tuesday, taxi

The correct answer is an option (B)

Let A represents the set of days.

A = {Monday, Tuesday}

And set B represents the method of transportaion/travel.

B = {bus, subway,  taxi }

To find the list of possible outcomes of one day one method of travel we find the product of set A and set B.

We know that for non-empty sets A and B the Cartesian Product is given by AxB = {(a,b) | a ∈ A and b ∈ B}.

It is a set of all ordered pairs (a, b)

For above sets A and B,

A × B = {(Monday, bus), (Monday, subway), (Monday, taxi), (Tuesday, bus), (Tuesday, subway), (Tuesday, taxi)}

Learn more about the Cartesian product here:

https://brainly.com/question/29298525

#SPJ4

Find the complete question below.

Answer:

K=5

This should be right.

Answer:

Area = 10.85 square centimeters

Step-by-step explanation:

The formula for area of triangle is

A = 1/2bh, where

We see from the diagram that the base is 6.2 cm and the height is 3.5 cm.  Thus, we can plug these numbers in for b and h in the base formula to find the area, A:

A = 1/2(6.2)(3.5)

A = 1/2(21.70)

A = 10.85 square centimeters

After Applying Laws of Exponents we can write as \((6yz)^{-4}\)

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.

Exponents with distinct bases and the same powers can be multiplied by multiplying the bases and writing the power outside of the brackets.

\(a^{n}\) .\(b^{n}\) =\((a.b)^{n}\)

=\(3y^{-4}\) . \(2z^{-4}\)

=\(3y^{-4}\) . \(2z^{-4}\)

= \((6yz)^{-4}\)

To know more about law of exponents visit :

brainly.com/question/15993626

#SPJ9

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

To know more about trigonometry:

https://brainly.com/question/14272510

#SPJ1

Answer:

  {2, 8}

Step-by-step explanation:

We want to find x for ...

  15 = 4|x -5| +3

  12 = 4|x -5| . . . . subtract 3

  3 = |x -5| . . . . . . divide by 4

  ±3 = x -5 . . . . . . show the meaning of absolute value

  5 ±3 = x = {2, 8} . . . . . add 5

The values of x for which f(x) = 15 are 2 and 8.

Answer:

Raul needs sales of $924.

Step-by-step explanation:

It looks like Raul earns commission at 1/7 of his sales.  (40/280 = 1/7).

\(\frac{40}{280}=\frac{132}{x}\\ 40x = 280*132\\x=924\)

Answer: D.

Step-by-step explanation:

Can it help you.

Answer:

9. x = 5

10. m∠Y = 34°

Step-by-step explanation:

9.

Remember that congruent sides have congruent angles as well. That means 9x + 1 will be shown up in our equation twice. And as always, all angles in a triangle add up to 180.

2(9x + 1) + 88 = 180

18x + 2 + 88 = 180

18x + 90 = 180

18x = 90

x = 5

10.

The same concept applies here in question 10. Congruent angles and sides match each other. Therefore,

Step 1:

6x - 23 = 4x + 9

2x - 23 = 9

2x = 32

x = 16

Step 2:

Now that you have found x, plug it back into the given equations and find the other angle.

6(16) - 23 = 73

4(16) + 9 = 73

180 - (73)(2) = 34

To find the total distance the student ran during the ten-day period, we can add up the distances covered each day. the student ran a total distance of 2.68 miles during these ten days.

For the first five days, the student ran a distance of 3/12 miles each day. So the total distance covered during these five days would be: (3/12) + (3/12) + (3/12) + (3/12) + (3/12) = (15/12) = 1.25 miles.

For the next five days, the student ran a distance of 4/14 miles each day. So the total distance covered during these five days would be: (4/14) + (4/14) + (4/14) + (4/14) + (4/14) = (20/14) = 1.43 miles.

To find the overall total distance, we add the distances from both periods: 1.25 miles + 1.43 miles = 2.68 miles. Therefore, the student ran a total distance of 2.68 miles during these ten days.

To learn more about miles, click here: brainly.com/question/30401762

#SPJ11

Given:

A figure of a circle and two secants on the circle from the outside of the circle.

To find:

The measure of angle KLM.

Solution:

According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.

Using intersecting secant theorem, we get

\(\angle KLM=\dfrac{1}{2}(Arc(JON)-Arc(KM))\)

\((3x-4)=\dfrac{1}{2}(271-(x+6))\)

\((3x-4)=\dfrac{1}{2}(271-x-6)\)

Multiply both sides by 2.

\(6x-8=265-x\)

Isolate the variable x.

\(6x+x=265+8\)

\(7x=273\)

Divide both sides by 7.

\(x=\dfrac{273}{7}\)

\(x=39\)

Now,

\(\angle KLM=(3x-4)^\circ\)

\(\angle KLM=(3(39)-4)^\circ\)

\(\angle KLM=(117-4)^\circ\)

\(\angle KLM=113^\circ\)

Therefore, the measure of angle KLM is 113 degrees.

The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.

The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.

The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.

To learn more about business cycles

Click here brainly.in/question/8552279

#SPJ11

Angle DGO: Vertical ->13 (no letter), supplement PGD marked as L

Angle 12: Vertical-> HOG marked as K

Angle 2: Vertical -> ICK (not in table). Supplement #15, letter E

Angle 28: Vertical #8, letter E

Angle 31: Vertical #19, letter W

Angle GRV: Supplement #19, letter E

Angle 21: Supplement #7, letter I

Angle 22: Vertical #17, letter H

Angle 32: Supplement #17, letter T

Checking previous answers.....

Angle 4: Vertical ORY, letter H. Correct

Angle RKV: Supplement VKA, letter E. Correct

Angle 26: Vertical #7, letter D. Correct

Angle 24: Supplement #8, letter I. Correct

Angle 26: Vertical #7, letter D. Correct

Angle 18: Vertical VKA, letter N. Correct

Angle 29: Supplement HOG, letter T. Correct

Angle YRV: Supplement ORY, letter I. Check!!

Angle 27: Vertical #15, letter T. Correct

Angle 4 (already checked).

Angle EGJ: Vertical PGD, letter G. Correct

Answer:  So that will be 16

Step-by-step explanation:

9x4 = 36-73 = 16

Answer:

you just multiply normaly and the decimals get multiplied too

Step-by-step explanation:

4.6*8.3=38.18 4*8= 38 and 6*3= 18 so the answer is 38.18

Answer:

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

From the question

Density = 0.789 g/mL

volume = 200 mL

Substitute the values into the above formula and solve for the mass

That's

mass = 0.789 × 200

We have the final answer as

Hope this helps you

Answer:

5

Step-by-step explanation:

5×3=15

15÷3=5

Hope this helps :)

Answer: 3

Step-by-step explanation: So first you multiply 5 x 3/5 and then you get ur answer of 3 by 5/1 x 3/5 and then you do 5 x 3 / 1 x 5 = 15/5 and you convert it and you get 3 :)

We can write one equation per receipt. We have two unknowns (x and y) and two equations, so if they are not a linear combination, we can calculate the value of x and y.

Receipt 240796 equation:

Receipt 240797

We can apply the substitution to solve this as:

The two equations are a linear combination, so we don't have a unique solution.

The second equation is the first one multiplied by 5, so it doesn't add new information. Then we only have only one independent equation and two unknowns, so we have infinite solutions for the system.

He won't be able to calculate the individual value.

The system has infinite solutions (linear combinations for x and y).

No, molar mass is a constant and does not depend on pressure or temperature.

Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.

Learn more about temperature here

https://brainly.com/question/29768169

#SPJ4

Answer:

s=74/33

Step-by-step explanation:

Hope this helps :D

Answer:

B.

Step-by-step explanation:

V = (pi)r^2h

V = 3.14 * (8 m)^2 * 28 m

V = 5626.9 m^3

Answer: B.

Answer:

B

Step-by-step explanation:

Because 0.75 is less than 1, the bigger x is, the smaller the whole thing will get. And the 4.1 in front is the starting point on the left side of the graph. Like on an actual graph with numbers:

If x is 0, f(x) is 4.1

If x is 5, f(x) is 0.97

The graph is decreasing. This is an equation and graph for "decay"