how do i answer these ?
Which of the following Z-scores could correspond to a raw score of 32, from a population with mean = 33? (Hint: draw the distribution and pay attention to where the raw score is compared to the mean)

Answer: 1 I’m pretty sure you divide 8 with 2 and then (2+2)  and then lastly do 4÷4 and then get 1.

If your doing PENDAS its right but if your not, it is 16.

Answer:

1. Mean : 85.6

2. Median : 90

3. Mode : 95

4. Range : 35

Step-by-step explanation:

1. For Mean, you add up all the terms and divide the resulting sum by the number of terms. In this case there were 9 terms that added up to 770, and when you divided that result by 9, the answer was 85.555 repeating. Since the question asks to round to the nearest tenth 85.6 represents the correct mean or average of the class.

2. To find the median, line up all the numbers in order from least to greatest. Like so :

60,75,75,90,90,95,95,95,95

In order to find the median, find the middle term. Since there are 9 terms, the middle term will be the fifth one. In this case, the answer was 90.

3. Mode represents the number that appears the most in a data set. Look at the 9 terms and find the one that appears the most. In this case it is 90.

4. Lastly, to find the range, subtract the lowest value in the data set from the highest one. 95 is the highest and 60 is the lowest. Do \(95-60\) and you will get an answer of 35.

Hope this helps!

Answer:

Mean: 85.6

Median: 90

Mode: 95

Range: 35

Step-by-step explanation:

Mean: Add up all the value and divide by the number of values you have.

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770

770 / 9 = 85.6

Median: Rearrange in increasing order + look at middle number

60, 75, 75, 90, 90, 95, 95, 95, 95

Mode: Number that shows up the most.

95 shows up 4 times.

Range: Maximum - Minimum.

95 - 60 = 35.

Primitivity refers to the fundamental property of an operation or function in mathematics, where the operation or function cannot be expressed in terms of simpler operations. Associativity, on the other hand, describes the property of an operation where the grouping of elements does not affect the result.

In simple terms, primitivity means that a particular operation cannot be broken down into smaller, more basic operations. For example, addition is considered a primitive operation because it cannot be expressed in terms of simpler operations. On the other hand, multiplication is not primitive since it can be expressed as repeated addition.

Associativity, on the other hand, refers to the fact that when we have three or more elements operated together, the result is the same regardless of how we group them. For example, addition is associative because (a + b) + c is equal to a + (b + c). However, subtraction is not associative since (a - b) - c is not equal to a - (b - c).

In summary, primitivity refers to the irreducibility of an operation, while associativity determines whether the grouping of elements affects the result of the operation.

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Answer:

the length is 31.5 and the width is 15.75

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

asked google

Answer:

60

Step-by-step explanation:

5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70

12: 12 24 36 48 60 72 84

This expression and setting each coefficient to zero, we can solve for the coefficients aₙ recursively.

To find the general power series solution of the given differential equation, we can assume that the solution can be expressed as a power series:

y(t) = ∑[n=0]^(∞) aₙtⁿ

where aₙ are the coefficients to be determined.

Now let's differentiate y(t) with respect to t:

y'(t) = ∑[n=1]^(∞) aₙn t^(n-1) = ∑[n=0]^(∞) aₙ(n+1) tⁿ

Also, let's express yⁿ(t) in terms of the power series:

yⁿ(t) = (∑[n=0]^(∞) aₙtⁿ)ⁿ

To simplify the expression, we'll expand the power using the binomial theorem:

yⁿ(t) = (∑[n=0]^(∞) aₙtⁿ)ⁿ

= (∑[n=0]^(∞) aₙtⁿ) * (∑[k=0]^(n) C(n, k) (aₙtⁿ)⁽ⁿ⁻ᵏ⁾)

= ∑[n=0]^(∞) (∑[k=0]^(n) C(n, k) aₙ⁽ⁿ⁻ᵏ⁾ (tⁿ)⁽ⁿ⁻ᵏ⁾⁺ᵏ)

Now, let's substitute yⁿ(t) and y'(t) back into the differential equation:

(∑[n=0]^(∞) (∑[k=0]^(n) C(n, k) aₙ⁽ⁿ⁻ᵏ⁾ (tⁿ)⁽ⁿ⁻ᵏ⁾⁺ᵏ)) + 3(∑[n=0]^(∞) aₙ(n+1) tⁿ) = 0

Equating the coefficients of like powers of t on both sides, we obtain a recurrence relation for the coefficients aₙ:

∑[n=0]^(∞) (∑[k=0]^(n) C(n, k) aₙ⁽ⁿ⁻ᵏ⁾ (n⁽ⁿ⁻ᵏ⁾⁺ᵏ)) + 3aₙ(n+1) = 0

Simplifying this expression and setting each coefficient to zero, we can solve for the coefficients aₙ recursively.

Note: The specific solution depends on the initial conditions and the values of the coefficients obtained from the recurrence relation.

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In order to restore general equilibrium, price adjustments are undertaken. In the short run, prices increase, and when expectations rise above actual inflation, prices continue to climb until they do. answer is option (d). price level.

The term "aggregate demand" in macroeconomics refers to the overall demand for locally produced commodities, including capital goods, consumer products, and services. Aggregate demand is calculated as the total of spending by consumers, corporate and governmental investment spending, and net imports and exports.

The overall demand of final products and services in an economy at any particular time is known as aggregate demand, often referred to as domestic final demand. Effective demand is a frequent word for it, however occasionally this phrase is used to distinguish between two things. This is the demand for a nation's gross domestic product.

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Answer:

A: 150+(45•p)

B: 125+(50•p)

Step-by-step explanation:

You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of  the monthly fee by how many months.

\(\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}\)

B. 3

Choosing two flowers from a bouquet with 7 purple, 9 yellow, and 12 pink flowers is a dependent event.

This is a dependent event. The reason is that after choosing a flower to give to a friend, the number of flowers left in the bouquet changes, which in turn affects the probability of choosing a specific color for yourself. Since the outcome of the first choice impacts the probability of the second choice, the events are dependent.

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Answer:

-0.4-4y

Step-by-step explanation:

-0.5(0.8+8y)

Distribute -0.5 into the parentheses

= -0.5×0.8+(-0.5)×8y

= -0.4+(-4y)

A negative and a positive make a negative

= -0.4-4y

I hope this helps!

Answer:

More like 4.73176472

Step-by-step explanation:

so prolly no

Answer:

i dont think so.

Step-by-step explanation:

its close to 5 but not exactly.

Answer:

Statistical

Step-by-step explanation:

You need to collect data to determine the answer of that.

Answer:

Yes

Step-by-step explanation:

"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.

I wasn't really sure how to explain it but I hope it makes sense! :)

Answer:

Substitution

Step-by-step explanation:

Substitution would be favored of the methods because we are given the "value" of y (1/2x + 6 ) so we could easily substitute 1/2x + 6 for y into -2x + 4y = 24

Graphing could work but there is no need because we can easily substitute

Elimination is used when the constant of y and x in both equations are the same. no constant of x and y are the same in the context therefore elimination should not be used.

Answer:

(2.5+3)

Step-by-step explanation:

im not 100% sure though sorry

Answer:

20%  -  12.5% - 60%  - 50%  - 78.6%  - 57.1% -  92.1% - 83.3% - 90.9% - 80% - 5%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

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The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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The inverse function of \(y = x^2 - 10x\) is f^(-1)(x) = 5 ± √\(\sqrt{x + 25}\).

To find the inverse of the function \(y = x^2 - 10x\), we need to interchange the roles of x and y and solve for the new y.

Step 1: Replace y with x and x with y:

x = \(y^2 - 10y\)

Step 2: Rearrange the equation to solve for y:

0 = \(y^2 - 10y - x\)

Step 3: To solve the quadratic equation, we can use the quadratic formula:

y = (-b ± \(\sqrt{(b^2 - 4ac)}\)) / (2a)

In our case, a = 1, b = -10, and c = -x. Substituting these values into the quadratic formula, we have:

y = (10 ±\(\sqrt{ ((-10)^2 - 4(1)(-x)))}\) / (2(1))

 = (10 ±\(\sqrt{ (100 + 4x)) }\)/ 2

 = (10 ±\(\sqrt{ (4x + 100)) }\)/ 2

 = 5 ±\(\sqrt{ (x + 25)}\)

The inverse function is given by:

f^(-1)(x) = 5 ± \(\sqrt{ (x + 25)}\)

It's important to note that the inverse function is not unique in this case, as the ± symbol represents two possible branches of the inverse. Both branches are valid and reflect the symmetrical nature of the original quadratic equation.

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The final value of u by solving the equation is 0

What is a single-variable linear equation?

A linear equation is a straight line equation with only one variable. The variable only has the number one as a power. Simple algebraic operations can be used to solve one-variable linear equations, which can take the form of either a x + b = 0 or a x + b = 0.

Given that

14u+6+20u = 13u+6 -----------1

34u+6 = 13u+6 ------------------2

Combine like terms

21u = 0

u = 0

Subtract 13u from both sides in equation 2

21u + 6 = 6

Subtract 6 from both sides

21u = 0

Divide both sides by 21

U=0

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Answer:

One

Step-by-step explanation:

It is given that,

y = 3x-5 ....(1)

y = -x+4 .....(2)

We can solve the above equations using substitution method. Put the value of y from equation (1) to equation (2) such that,

\(3x-5 = -x+4\\\\3x+x = 5+4\\\\4x = 9\\\\x=\dfrac{9}{4}\)

Put the value of x in equation (1) we get :

\(y = 3x-5\\\\y = 3\times \dfrac{9}{4}-5\\\\y=\dfrac{7}{4}\)

It means that the value of x is \(\dfrac{9}{4}\) and the value of y is \(\dfrac{7}{4}\). Hence, the given equations has only one solution.

Answer:

1

Step-by-step explanation:

a. The appropriate hypothesis test for this scenario would be a 2-Sample t-Test, as we are comparing the average pounds of grapes on unfertilized vines to the average pounds of grapes on fertilized vines.

b. The appropriate hypothesis test for this scenario would be a 1-Sample t-Test, as we are comparing the average amount of time kids spend reading books to a known or assumed value.

c. The appropriate hypothesis test for this scenario would be a Paired t-Test, as we are comparing the performance of the same students on math problems with and without music.

d. The appropriate hypothesis test for this scenario would be a 2-Sample t-Test, as we are comparing the average age of professional baseball players to the average age of professional football players.

e. The appropriate hypothesis test for this scenario would be a 1-Prop z-Test, as we are testing the proportion of children with autism.

f. The appropriate hypothesis test for this scenario would be a 2-Prop z-Test, as we are comparing the proportions of immigrants in the US and Canada.

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Answer:

-20 was November 25ths Temperature

Step-by-step explanation:

2 degrees MORE than -20 Celsius, is -18.

The farther you go down to negative infinity, the colder it gets.

Answer:

Below

Step-by-step explanation:

The temperature recorded on 26th November was -18 °C

The temperature recorded before was more with 2 °C

● -18 + 2 = -16 °C

So temperature recorded the day before was -16 °C

Answer:

Its number 1

Step-by-step explanation:

Number One. Okay?

Answer: I believe that the answer is D. please let me know if I'm right. :)

the family of functions y = (C - x²)⁻¹/² is a solution to the differential equation y' = xy³, which is option (B).

To determine which differential equation the family of functions y = (C - x²)⁻¹/²satisfies, we need to differentiate the given expression with respect to x and substitute it into each of the options.

Let's find the derivative of y = (C - x²)⁻¹/² with respect to x:

dy/dx = d/dx [(C - x²)⁻¹/²]

Using the chain rule, we have:

dy/dx = (-1/2) (C - x²)⁻³/²(-2x)

      = x (C - x²)⁻³/²

Now, let's substitute this derivative into each of the options and see which equation holds:

(A) y = x²y:

Substituting dy/dx = x(C - x²)⁻³/² into the equation:

x²y = x(x(C - x²)⁻³/²)

xy = x²(C - x²)⁻³/²

(B) y' = xy³:

Substituting dy/dx = x(C - x²)⁻³/² into the equation:

x(C - x²)⁻³/² = xy³

(C - x²)⁻³/² = y³

We can see that option (B) satisfies the equation with the substituted derivative. Therefore, the family of functions y = (C - x²)⁻¹/² is a solution to the differential equation y' = xy³, which is option (B).

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T is linearly independent.

Coefficients: O

To determine whether the set T = {r, u, x} is linearly independent or dependent, we need to check if there exists a non-trivial linear relation among the vectors in T that gives a linear combination equal to zero.

Let's express x in terms of r and u:

x = r + 2u + d

Since the set S = {r, u, d} is linearly independent, we cannot express d as a linear combination of r and u. Therefore, we cannot express x as a linear combination of r and u only.

Now, let's attempt to find coefficients for r, u, and x such that their linear combination equals zero:

ar + bu + cx = 0

Substituting the expression for x, we have:

ar + bu + c(r + 2u + d) = 0

Expanding the equation:

(ar + cr) + (bu + 2cu) + cd = 0

(r(a + c)) + (u(b + 2c)) + cd = 0

For this equation to hold for all vectors r, u, and d, the coefficients a + c, b + 2c, and cd must all equal zero.

However, we know that the set S = {r, u, d} is linearly independent, which implies that no non-trivial linear combination of r, u, and d can equal zero. Therefore, the coefficients a, b, and c must all be zero.

Hence, the set T = {r, u, x} is linearly independent.

Answer:

T is linearly independent.

Coefficients: O

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