What is the size relationship between the mean and the median of a data set? O A. The mean can be smaller than, equal to, or larger than the median. OB. The mean is always equal to the median. OC. The mean is always more than the median. O D. The mean is always less than the median. O E none of these

Answer:

first: 27.5

second: 250%

Step-by-step explanation:

first: 17.16 ÷ 62.4% = 0.275, 27.5

second: 51 ÷ 127.5 = 0.4, 40%,

100% ÷ 40%, = 2.5, 250%

Answer:

The answer for this should be A -4 and -8

Step-by-step explanation:

I'm also in k12

Answer

its 4 and 8 i took the quiz

Step-by-step explanation:

The sociologist would need a sample size of at least 753 students to estimate the proportion of students

Margin error = .03

Confidence Interval = 90%

Proportion size = .44

To estimate the percentage of students, establishing the sample size required -

\(n = (Z^2 x p x q) / E^2\)

Where p is the estimated proportion of students who binge drink during the school year, Z is the Z-score associated with the desired level of confidence, which is 1.645, q is 1 - p which represents the proportion of students who do not engage in binge drinking, and E is the desired margin of error, which is 0.03

Therefore,

\(n = (1.645^2 x 0.44 x 0.56) / 0.03^2\)

= 752.67 or 753.

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Answer:

\(-0.04b^{19}\)

Step-by-step explanation:

We have the expression \((-0.2b^6)^3\times 5b\) and we want to rewrite/simplify this to a monomial (only one term).

First, let's expand. We can use the power of a product exponent property, where \((ab)^x=a^xb^x\)

We have:

\((-0.2b^6)^3\times 5b\)

Using the above property, this will be:

\(=(-0.2)^3(b^6)^3\times5b\)

(-0.2) cubed is -0.008. So, this becomes:

\(=-0.008(b^6)^3\times 5b\)

We can now use the power of a power property, where \((x^a)^b=x^{ab}\).

Therefore, this will give us:

\(=-0.008b^{6\times 3}\times 5b\)

Evaluate:

\(=-0.008b^{18}\times 5b\)

Notice that 5b is the same as 5 times b to the first power. So:

\(=-0.008\times b^{18}\times5\times b^1\)

We can rearrange this to get:

\(=-0.008\times 5\times b^{18}\times b^1\)

When we multiply exponents with the same base, we will simply add the exponents. -0.008 times 5 is -0.04. Therefore, this yields:

\(=-0.04b^{18+1}\\=-0.04b^{19}\)

Therefore, our final answer is \(-0.04b^{19}\).

And this is indeed a monomial since this only has one term.

31/32

A requirement of 20 characters is needed

Answer:

17/16

Step-by-step explanation:

3/4 is equal to 6/8

6/8+7/8=13/8

11/13 is equal to 22/26

22/26+(-5)/26=17/26

13/8*17/26=17/16

26y⁴+39y³-13y² ÷(-13y²)

26y⁴+39y³ + 1 ( any expression divided by itself equals )

Answer:

- 2y² - 3y + 1

Step-by-step explanation:

Given

\(\frac{26y^4+39y^3-13y^2}{-13y^2}\)

= \(\frac{26y^4}{-13y^2}\) + \(\frac{39y^3}{-13y^2}\) - \(\frac{13y^2}{-13y^2}\)

= - 2y² - 2y + 1

Answer:

Step-by-step explanation:

C. Factor

A factor is a number that divides another number, leaving no remainder. Meaning that if you multiply two whole numbers that gives us a product,  then the numbers we are multiplying are factors of the product because they are divisible by the product.

(Hope this makes sense, if not I'm sorry)

Answer:

D) 80°

Step-by-step explanation:

(n - 2)180 = 4(180) = 720

78 + 134 + 136 + 132 + 2x + x = 720

3x + 480 = 720

3x = 240

x = 80

Answer:

The answer is D:80 degrees.

Step-by-step explanation:

The solution of ∂z/∂x at point (1, 1 , 1)_ is,

⇒ ∂z/∂x (1, 1, 1) = -6

Given curve is,

5xy + z⁴x - 3yz = 3

Now,

Differentiate both sides with respect to x :

5y + 4z³x ∂z/∂x + z⁴ - 3y ∂z/∂x = 0

Solve for ∂z/∂x :

(4z³x - 3y) ∂z/∂x = - (5y + z⁴)

∂z/∂x = - (5y + z⁴) / (4z³x - 3y)

At the point (1, 1, 1), this derivative is,

∂z/∂x (1, 1, 1) = - (5 + 1) / (4 - 3)

∂z/∂x (1, 1, 1) = -6

Therefore, The solution of ∂z/∂x at point (1, 1 , 1)_ is,

⇒ ∂z/∂x (1, 1, 1) = -6

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Complete question is,

Find the value of StartFraction partial derivative z Over partial derivative x EndFraction at the point​ (1,1,1) if the equation 5 xy plus z Superscript 4 Baseline x minus 3 yz equals 3 defines z as a function of the two independent variables x and y and the partial derivative exists.

Answer:

-2/3 + 0

= 2

– — + 0

3 2

Add — 2/3 and 0 to get – —

3

2

= – —

3

= (–1).2/3 = –0.666666667

the answer is = –0.666666667

Step-by-step explanation:

#Carry on learning

The number of seeds per square foot is the variable that explains the variation in the yield of the crop in pounds per square foot.

The explanatory variable for this relationship is the number of seeds per square foot. The number of seeds per square foot is the variable that is being manipulated or changed by the farmers in order to observe the effect on the yield of the crop in pounds per square foot.

The farmers observed that the yields were the smallest when the number of seeds per square foot was either very small or very large, this means that there is an optimal number of seeds per square foot that yields the highest crop.

So, the number of seeds per square foot is the variable that explains the variation in the yield of the crop in pounds per square foot.

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To find the points (x, y) on the graph of f(x) = 2x^2 - 3x with tangent lines parallel to the line y = 5x + 6, we need to find the values of x where the derivative of f(x) is equal to the slope of the given line (which is 5).

The derivative of f(x) is f'(x) = 4x - 3.

Setting f'(x) equal to 5, we have:

4x - 3 = 5

Solving for x, we get:

4x = 8

x = 2

Substituting x = 2 into the equation f(x) = 2x^2 - 3x, we can find the corresponding y-value:

f(2) = 2(2)^2 - 3(2) = 8 - 6 = 2

Therefore, the point where the tangent line to the graph of f(x) is parallel to y = 5x + 6 is (2, 2).

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In the given public good provision game, player 1's expected payoff for contributing and not contributing depends on player 2's cutoff point (C*₂). When player 1 contributes, their payoff is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. When player 1 does not contribute, their payoff is always 0.

In this public good provision game, player 1's decision to contribute or not contribute depends on their private cost, C₁, and player 2's cutoff point, C*₂. If player 1 contributes, they incur a cost of C₁ but gain access to the public good valued at v dollars. However, if C₁ is greater than or equal to C*₂, player 1's expected payoff for contributing would be 0 since player 2 would not contribute.

On the other hand, if player 1 does not contribute, their expected payoff is always 0, as they neither incur any cost nor receive any benefit from the public good. Therefore, player 1's expected payoff for not contributing is constant, irrespective of the cutoff point.

To determine player 1's expected payoff for contributing, we consider the case when C₁ is less than C*₂. In this scenario, player 2 contributes to the public good, allowing both players to consume it. Player 1's payoff would then be v - C₁, which represents the value of the public good minus their cost of contribution. However, if C₁ is greater than or equal to C*₂, player 1's contribution would be futile, as player 2 would not contribute. In this case, player 1's expected payoff for contributing would be 0, as they would not gain access to the public good.

In summary, player 1's expected payoff for contributing is v - C₁ if C₁ < C*₂, and 0 if C₁ ≥ C*₂. On the other hand, player 1's expected payoff for not contributing is always 0. Therefore, when C₁ is low, player 1 would prefer to contribute, as long as the cost of contribution is less than player 2's cutoff point.

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In a probability histogram, there is a correspondence between area and probability. So, the option(d) is right choice for answering this problem.

Probability histograms represent chance of occurrence an event. A probability histogram is a graphical representation that shows the probability of each outcome on the y -axis. It consists of a rectangle centered on for all values x, and the area of each rectangle is proportional to the probability of the corresponding value. The standard normal distribution is a normal probability distribution with μ = 0 and σ = 1. The area above a class interval denotes the chance of occurrence for that class interval. Because the total area under the curve is equal to one, therefore, is a correspondence between area and probability.

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Complete question:

In a probability histogram, there is a correspondence between _______.

a)volume and probability

b) area and volume

c)variation and area.

d) area and probability

Answer:

1:25 or 1/25

Step-by-step explanation:

Rate=16/400

1/25 or 1:25

Answer: 16 to 400. This will be the answer I believe.

Answer:

144

Step-by-step explanation:

Answer:

9 miles per quart

Step-by-step explanation:

there are 4 quarts in a gallon so you can divide 36 by 4 to get miles per quart

Step-by-step explanation:

Statements

Reasons

1. PQ || MN

1. Given

2. O is the midpoint of NP

2. Given

3. NO = OP

3. Definition of midpoint

4. ∠ZMO = ∠QOP

4. Alternate interior angles are congruent (corresponding angles of parallel lines)

5. ∠LNMO = ∠LPQO

5. Alternate interior angles are congruent (corresponding angles of parallel lines)

6. ΔMNO ≅ ΔPRO

6. Angle-side-angle (ASA) congruence theorem

7. AMNO ≅ AQPO

7. Corresponding parts of congruent triangles are congruent (CPCTC)

Answer:

\(Area = 9.405\)

Step-by-step explanation:

Given

\(x = 20^\circ\)

\(b =11\)

\(c = 5\)

See attachment for triangle

Required

Calculate the area

The area is calculated as:

\(Area = \frac{1}{2}*ab*sinC\)

In this case, it is:

\(Area = \frac{1}{2}*bc*sinX\)

So, we have:

\(Area = \frac{1}{2}*11 * 5*sin(20^\circ)\)

\(Area = \frac{1}{2}*11 * 5*0.3420\)

\(Area = \frac{1}{2}*18.81\)

\(Area = 9.405\)

The answer is two base cases, using induction.

What is induction ?

Weak induction is when an inductive mathematical proof holds true for all integers in a set of countable proofs. Natural numbers typically use this. The base step and inductive step are used to prove a set, making it the simplest type of mathematical induction.

Two examples make up an induction proof. Without requiring any prior knowledge of other examples, the first, or base case, establishes the claim for n = 0. The induction process, which is used in the second case, demonstrates that if the assertion is true for any particular scenario where n = k, it must also be true for the subsequent case where n = k + 1.

If a statement true  for n= k, accordily to induction it have to hold good for n = k+1,

Hence, base cases does a proof by the weak form of the principle of mathematical induction requires 2 bases.

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On solving the provided question we can say that the given equation yield solution as x=27.4 and y= -5/8.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

On solving simultaneously,

x=27.4

y= -5/8

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By using basic meaning of percentage we get final price as  0.8x .

Percentage is a number or ratio expressed as a fraction of 100.

Given that original price is = x

And discount is 20%

Which means off of  RS 20 on RS 100

So we can say that off on RS 1 = RS  20/100

So off on RS 1 =  RS 1/5

Hence off on RS x = x/5

Now we can calculate final price as

original price - off

\(x- \frac{x}{5}\)

Taking LCM

\(\frac{5x-x}{5}\\\\\frac {4x}{5}\)

\(0.8x\)

By using basic meaning of percentage we get final price as  0.8x .

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Answer:

Step-by-step explanation:

\(\pmb {sin(22)^o=\cfrac{x}{35} }\)

\(\pmb {35sin(22)=w}\)

\(\pmb {w=13.11}\)

_________________

Hope this helps!

Have a great day! :)

Answer:

20 more girls

Step-by-step explanation:

so if 2/5 of the pupils are boys that means 3/5 of the pupils are girls

and 3/5 = 30

to find out how many boys there are we need to find 1/5

1/5 = 10

so theres 10 boys and 30 girls

30-10 = 20

Answer:

Step-by-step explanation:

In this problem, we are going to use Pythagoras theorem to solve for the height

given

x= 4.6 ft

hypothenus=15.2

y=?

we know that

hyp^2=x^2+y^2

15.2=4.6^2+y^2

15.2-4.6^2=y^2

15.2-21.16=y^2

5.96=y^2

√5.96=y

y=2.44ft

the height of the ladder is 2.44ft

The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).

To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.

Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.

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Answer:

a. P(G1 and G2) = (6/11)(6/11) = 36/121

b. P(at least 1 green) = 1 - 36/121 = 85/121

c. P(G1 or G2) =

(6/11)(5/11) + (5/11)(6/11) + (6/11)(6/11) =

30/121 + 30/121 + 36/121 = 96/121

d. Yes, G1 and G2 are independent.

Answer:

y = -3/4x + 36

Step-by-step explanation:

In slope-intercept form, (y = mx + b), m is the slope and b is the y intercept. The slope is the rise/run. You can count from one point to another that you move down 3 and to the right 4. So your rise/run is -3/4.

The y-intercept is 36, because that is where the line crosses the y-axis.

So you can substitute the values into the equation:

y = mx + b

y = (-3/4x) + (36)

y = -3/4x + 36

Answer:

13,849 books.

Step-by-step explanation:

The equation would be (69,678 - 430)/4 =  13,849

Answer:

#1 = 13

Step-by-step explanation:

\(c^{2} =\sqrt{a^{2}+b^{2}}\)

\(a=5\\a^{2} =5^{2}\)

\(b=12\\b^{2} =12^{2}\)

\(c^{2} =\sqrt{5^{2}+12^{2}} \\c=13\)

Answer:

#4 ≈ 55.9

Step-by-step explanation:

\(c^{2} =\sqrt{a^{2}+b^{2}}\)

\(a=50\\a^{2} =50^{2}\)

\(b=25\\b^{2} =25^{2}\)

\(c^{2} =\sqrt{50^{2}+25^{2}} \\c =about 55.9017\)