In triangle ABC, what is m angle C

The appropriate option is: This test statistic leads to a decision to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.

The given statistical hypothesis isH o:μ d = 0H a:μ d ≠ 0 The sample size n = 8 is very small. We will use the t-test statistic as the population standard deviation is unknown. The test statistic formula is:t = (d - μ) / (s / √n)t = (53.9 - 0) / (37.2 / √8)t = 4.69 (approx.)Thus, the test statistic for this sample is 4.69. The degrees of freedom is n - 1 = 7.The p-value for this sample is P (|t| > 4.69) = 0.0025 (approx.)

Thus, the p-value is less than α. This test statistic leads to a decision to reject the null hypothesis.As such, the final conclusion is that There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.

Therefore, the appropriate option is: This test statistic leads to a decision to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.

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Answer:

Explanation:

Step 1. Let h be the height of the cone:

and let d be the diameter of the circle:

From the diameter we can find the radius of the circle:

Step 2. To find the volume of a cone we use the following formula:

Step 3. Substituting the values of r and h into the formula:

Solving the operations:

The result is:

The volume is pi cubic miles.

Answer:

Answer:

y ≈ 15.9 cm

Step-by-step explanation:

using the tangent ratio in the right triangle

tan53° = \(\frac{opposite}{adjacent}\) = \(\frac{y}{12}\) ( multiply both sides by 12 )

12 × tan53° = x , that is

x ≈ 15.9 (to 1 decimal place )

A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect. The correct answer is A: never.

Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.

To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.

Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.

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The expression's factored version, which employs the greatest common factor, is -z(12z-16z3 + 3z).

The largest number that can be split into exactly two or more other numbers. It is the "best" thing for making fractions simpler!

Given the expression below

-12z+16z^4 - 3z²

We are to factor the expression using the greatest common factor

Find the factors of each terms

-12z = -12 * z

16z^4 = 16 * z * z^3

-3z^2 = -3 * z * z

Since -z is common to the factors, hence the factored form of the expression using the greatest common factor is -z(12z-16z^3 + 3z)

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Answer:

2nd option

Step-by-step explanation:

the recursive rule is

\(a_{n}\) = \(a_{n-1}\) + d ( d is the common difference )

use the explicit rule to find a₁ and d

a₁ = 48 - 11(1) = 48 - 11 = 37

a₂ = 48 - 11(2) = 48 - 22 = 26

then

d = a₂ - a₁ = 26 - 37 = - 11

recursive rule is then

\(a_{n}\) = \(a_{n-1}\) - 11

a₁ = 37

Answer:

evalues ton calcule A est correct

Answer:

58,578

Step-by-step explanation:

Hope you could understand.

If you have any query, feel free to ask.

Answer:

width = 6 units

length = 18 units

Step-by-step explanation:

P=2(l+w)

P=2(3w+w)

48=6w+2w

8w=48

w=6

width is therefore 6units and length 3w = 18units

Answer:

The variance of Y is given by the expression (2/5) * y^(5/2) - y.

Step-by-step explanation:

To calculate the variance of a continuous random variable, we use the formula:

Var(X) = E[X²] - (E[X])²

Let's start with calculating var(X):

The probability density function (PDF) of X is given as:

f(x) = 2x² for 0 < x ≤ 2, and f(x) = 0 for other values.

To calculate the variance of X, we need to find the expected value E[X] and the expected value of the square E[X²].

First, let's calculate E[X]:

E[X] = ∫(x * f(x)) dx

For 0 < x ≤ 2, f(x) = 2x²:

E[X] = ∫(x * 2x²) dx

= ∫(2x³) dx

= [1/2 * x⁴] from 0 to 2

= 1/2 * (2⁴ - 0⁴)

= 8/2

= 4

Next, let's calculate E[X²]:

E[X²] = ∫(x² * f(x)) dx

For 0 < x ≤ 2, f(x) = 2x²:

E[X²] = ∫(x² * 2x²) dx

= ∫(2x⁴) dx

= [1/2 * x⁵] from 0 to 2

= 1/2 * (2⁵ - 0⁵)

= 16/2

= 8

Now, we can calculate var(X):

Var(X) = E[X²] - (E[X])²

= 8 - (4)²

= 8 - 16

= -8

However, variance cannot be negative, so the variance of X is not meaningful in this case.

Moving on to var(Y):

The probability density function (PDF) of Y is given as:

f(y) = 1/(2√y) for 0 ≤ y ≤ 1, and f(y) = 0 for other values.

To calculate the variance of Y, we again need to find the expected value E[Y] and the expected value of the square E[Y²].

First, let's calculate E[Y]:

E[Y] = ∫(y * f(y)) dy

For 0 ≤ y ≤ 1, f(y) = 1/(2√y):

E[Y] = ∫(y * 1/(2√y)) dy

= ∫(1/(2√y)) dy

= (1/2) ∫(1/√y) dy

= (1/2) * 2√y + C

= √y + C

Since E[Y] is the expected value, it should be a constant. Therefore, C must be 0.

E[Y] = √y

Next, let's calculate E[Y²]:

E[Y²] = ∫(y² * f(y)) dy

For 0 ≤ y ≤ 1, f(y) = 1/(2√y):

E[Y²] = ∫(y² * 1/(2√y)) dy

= ∫(y^(3/2)) dy

= (2/5) * y^(5/2) + C

= (2/5) * y^(5/2) + C

Again, since E[Y²] is the expected value, C must be 0.

E[Y²] = (2/5) * y^(5/2)

Now, we can calculate var(Y):

Var(Y) = E[Y²] - (E[Y])²

= (2/5) * y^(5/2) - (√y)²

= (2/5) * y^(5/2) - y

So, the variance of Y is given by the expression (2/5) * y^(5/2) - y.

Var(X) is approximately -17.07 and Var(Y) is approximately 0.1. Variance measures the spread of a dataset and shows how much individual data points differ from the mean. A higher variance means there is greater diversity among the data points.

To calculate the variance of a continuous random variable, we need to use the following formula:

Var(X) = \(\int[(x - E(X))^2 \times f(x)] dx\)

where E(X) is the expected value or mean of X.

For the first random variable X with the probability density function f(x) = 2x² for 0 < x ≤ 2, we first need to calculate the mean:

E(X) = \(\int [x \times f(x)] dx\)

= \(\int [x \times 2x^2] dx\)

= 2∫[x³] dx

= 2[x⁴/4] evaluated from 0 to 2

= 2(2⁴/4 - 0⁴/4)

= 2(16/4)

= 8

Now, we can calculate the variance:

Var(X) = \(\int [(x - 8)^2 \times 2x^2] dx\)

=\(2\int [(x - 8)^2 \times x^2] dx\)

=\(2\int [x^4 - 16x^3 + 64x^2] dx\)

= 2[x⁵/5 - 4x⁴ + 64x³/3] evaluated from 0 to 2

= 2[(2⁵/5 - 4(2⁴) + 64(2³)/3) - (0⁵/5 - 4(0⁴) + 64(0³)/3)]

= 2[(32/5 - 4(16) + 64(8)/3) - (0 - 0 + 0)]

= 2[(32/5 - 64 + 512/3) - 0]

= 2[-128/15]

= -256/15

≈ -17.07 (rounded to two decimal places)

For the second random variable Y with the probability density function f(y) = 1/(2√y) for 0 ≤ y ≤ 1, the mean is:

E(Y) = \(\int [y \times f(y)] dy\)

= \(\int [y \times 1/(2\sqrt{y})] dy\)

= \(\int [1/(2\sqrt{y} )] dy\)

=\(\int [y^{(-1/2)}/2] dy\)

=\((y^{(1/2)}/2)\) evaluated from 0 to 1

= (1/2 - 0/2)

= 1/2

= 0.5

Now, let's calculate the variance:

Var(Y) = \(\int [(y - 0.5)^2 \times (1/(2\sqrt{y} ))] dy\)

= \(\int [(y - 0.5)^2/(2\sqrt{y} )] dy\)

= \(\int [(y^2 - y + 0.25)/(2\sqrt{y} )] dy\)

= \((1/2)\int [(y^{(3/2)} - y^{(1/2)} + 0.25y^{(-1/2)})] dy\)

=\((1/2)[(2/5)y^{(5/2)} - (2/3)y^{(3/2)} + 0.5y^{(1/2)}]\) evaluated from 0 to 1

=\((1/2)[(2/5)(1^{(5/2)}) - (2/3)(1^{(3/2)}) + 0.5(1^{(1/2)})] - (0 - 0 + 0)\)

= (1/2)[(2/5) - (2/3) + 0.5]

= (1/2)[(6/15) - (10/15) + 0.5]

= (1/2)[-4/15 + 0.5]

= (1/2)[-4/15 + 7/15]

= (1/2)[3/15]

= 3/30

= 1/10

= 0.1

Therefore, Var(X) ≈ -17.07 and Var(Y) = 0.1. Variance provides insight into the variability and volatility of a set of values, with a higher variance indicating greater diversity among the data points.

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Since, 1 gallon = 3.78541 liters

Therefore, 20 gallons = 75.7082 liters

That means amount of gasoline in the gas tank is 20 gallons or 75.7082 liters.

It's given in the question that E15 gasoline contains 15% of alcohol.

Therefore, amount of alcohol in the gas tank = 15% of 75.7082

                                                                           = 11.35623

                                                                           ≈ 11.36 liters

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Amount of total Alcohol in liters is 11.355 liter.

Given:

Amount of total gas solution = 20 gallon

Amount of Alcohol in total gas = 15%

Find:

Amount of total Alcohol in liters

Computation:

1 Gallon = 3.785 liter (Approx.)

Amount of total gas solution in liter = 20 × 3.785

Amount of total gas solution in liter = 75.7 liter (Approx.)

Amount of total Alcohol in liters = Amount of total gas solution in liter × Amount of Alcohol in total gas

Amount of total Alcohol in liters = 75.7 × 15%

Amount of total Alcohol in liters = 75.7 × 0.15

Amount of total Alcohol in liters = 11.355 liter (Approx.)

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The system of equations can be graphed using a graphing utility to find their intersection point, which represents the solution to the system.

To graph the system of equations, we first need to rearrange them in slope-intercept form, which is y = mx + b. For the first equation, we can solve for y by subtracting 2x from both sides and then dividing by -4, which gives us y = -0.5x + (5/4). For the second equation, we can solve for y by dividing both sides by -1.2 and then simplifying, which gives us y = -0.5x + (5/8). We can then enter these equations into a graphing utility, such as Desmos or GeoGebra, to plot their graphs. The intersection point of the two graphs represents the solution to the system. In this case, the intersection point is (4.4, 1.3), which means that x = 4.4 and y = 1.3 is the solution to the system of equations.

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Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Answer:

A. Use the tax table to determine Katrina's tax

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:

She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.

Step-by-step explanation:

Create a system of equations where x is the number of 12 cent eggs and y is the number of 14 cent eggs.

x + y = 50

0.12x + 0.14y = 6.6

Solve by elimination by multiplying the top equation by -0.12:

-0.12x - 0.12y = -6

0.12x + 0.14y = 6.6

Add these together and solve for y:

0.02y = 0.6

y = 30

So, she bought 30 eggs that were 14 cents. Plug in 30 as y into one of the equations, and solve for x:

x + y = 50

x + 30 = 50

x = 20

So, she bought 20 eggs that were 12 cents.

She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.

By applying Pascal's triangle concept for the f(n) as per given condition the value f(2) is 1.

To find f(2),  calculate the sum of the elements in the second row of Pascal's triangle

and subtract the sum of all the elements from the previous rows.

Pascal's triangle is formed by starting with a row containing only 1

and then each subsequent row is constructed by adding the two numbers above it.

The first row of Pascal's triangle is simply 1.

The second row of Pascal's triangle is 1 1.

To calculate f(2),  sum the elements in the second row and subtract the sum of the elements in the previous rows.

Sum of elements in the second row = 1 + 1 = 2

Sum of elements in the first row = 1

This implies, f(2) = 2 - 1 = 1.

Therefore, using Pascal's triangle the value f(2) is equal to 1.

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The domain will be as -4 is less than x which is less than or equal to 4

The range will be -2 is less than or equal to y which is less than 5

The set of possible input values, and the range is the set of all possible output values of the graph

The completed inequality representing the set of the domain and range are presented as follows;

We have given that there is an open circle at the point (-4, 5), which represents that there is no value at the point.

However, at the other end of the graph, which is point (4, -2), we have a closed circle, that represents the graph has a value at the point (4, -2)

Part A;

The domain of a graph is the possible (x-values) of the graph, in inequality format, the domain of the attached graph is -4 < x ≤ 4

Therefore;

The inequality for the domain gives that;

Domain: -4 is less than x which is less than or equal to 4

Part B;

The range of a graph is the possible y-values of the graph, in inequality format, the domain of the graph is -2 ≤ y < 5

The Range: -2 is less than or equal to y which is less than 5

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Answer:

First answer -4

Second answer-2

Step-by-step explanation:

I got it right on edge

Answer:

\(f= \frac{G + 3m^3}{n}\)

Step-by-step explanation:

\(Nf= G + 3m^3\)

divide by n

\(f= \frac{G + 3m^3}{n}\)

Answer:

f(x)=1

Step-by-step explanation:

f(0)=-0+1

   =1

Answer:

Angle 2 = Angle 4 ( vertically opposite angles)

As the number of degrees of freedom become large, the t distribution actually approaches the normal distribution, not

the binomial distribution. The correct answer is false.

The t distribution is used when the sample size is small and the population standard deviation is unknown, while the

binomial distribution is used for discrete data where there are only two possible outcomes.

The binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of

independent trials with a constant probability of success, whereas the t distribution is a continuous probability

distribution that models the variability of sample means from a normal population.

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On Day 1, Jenna's original menu had 11 percentage of calories from saturated fat, while on Day 2, Jenna's modified menu had only 4% of calories from saturated fat.

To calculate the percentage of calories from saturated fat for both days, first locate the columns for saturated fat (Fat-S) and calories (Cals) on the spreadsheet report. Add the total number of calories for both days, then add the total number of saturated fat calories for both days. To calculate the percentage of calories from saturated fat for each day, divide the total number of saturated fat calories for each day by the total number of calories for each day and multiply by 100. On Day 1, Jenna's original menu had a total of 2,826 calories, with 317 saturated fat calories, meaning 11% of calories from saturated fat. On Day 2, Jenna's modified menu had a total of 2,839 calories, with 115 saturated fat calories, meaning 4% of calories from saturated fat. Therefore, Day 2 had a much lower percentage of calories from saturated fat when compared to Day 1.

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If Tim bought some cans of paint and 3/4 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 3/8 of a liter of additive in each can. The number of cans of paint that Tim buy is: 6 cans.

Let x represent the number of can

Quantity of addictive mixed in each liter=3/8

Total addictive mixed=3/4

Hence,

x(3/8)=3/4

Cross multiply

x=8(3/4)

x=6 cans of paint

Therefore If Tim bought some cans of paint and 3/4 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 3/8 of a liter of additive in each can. The number of cans of paint that Tim buy is: 6 cans.

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Answer:

*Most of these, you just have to get the variable by itself. To check, put the answer in for the letter.*

1. b+8=14

Subtract 8 from both sides

b=6

Check: 6+8=14 ——— 14=14

2. 25-t=15

Subtract 25 from both sides

-t = -10 ––Divide both sides by -1

t=10

Check: 25-10=15 ——— 15=15

3. 9p=81

Divide both sides by 9 to get p alone

p=9

Check: 9(9)=81 ——— 81=81

4.  y/7= 2

Multiply both sides by 7 to cancel out the fraction

y=14

Check: 14/7=2 ——— 2=2

5. y+6=10

Subtract 6 from both sides

y=4

Check: 4+6=10 ——— 10=10

6. f-4=9

Add 4 to both sides

f=13

Check: 13-4=9 ——— 9=9

7. 8d=48

Divide both sides by 8 to get d alone

d=6

Check: 8(6)=48 ——— 48=48

8. 10 = r/5

Multiply both sides by 5 to cancel out the fraction

50 = r

Check: 10=50/5 ——— 10=10

9. 15=x/3

Multiply by 3 to cancel out the fraction

45=x

Check: 15=45/3 ——— 15=15

The probability generating functions show that Sn follows a negative binomial distribution with parameters n and β. Expanding the generating function, we find that Gn(z) = E(z^Sn) = E(z^(N1+...+Nn)) = E(z^N1... z^Nn). The probability that Sn takes values less than 40 is approximately 0.0012. The probability that Sn is less than 40 is approximately 0.0012.

(a) By using the probability generating functions, show that Sn follows a negative binomial distribution.

Using probability generating functions, the generating function of Ni is given by:

G(z) = E(z^Ni) = Σ(z^ni * P(Ni=ni)),

where P(Ni=ni) = (1−β)^(ni−1) * β (for ni=1,2,3,...).

Therefore, the generating function of Sn is:

Gn(z) = E(z^Sn) = E(z^(N1+...+Nn)) = E(z^N1 ... z^Nn).

From independence, we have:

Gn(z) = G(z)^n = (β/(1−(1−β)z))^n.

Now we need to expand the generating function Gn(z) using the Binomial Theorem:

Gn(z) = (β/(1−(1−β)z))^n = β^n * (1−(1−β)z)^−n = Σ[k=0 to infinity] (β^n) * ((−1)^k) * binomial(−n,k) * (1−β)^k * z^k.

Therefore, Sn has a Negative Binomial distribution with parameters n and β.

(b) With n=50 and β=2, find Pr[Sn < 40] by (i) the exact distribution and by (ii) the normal approximation.

(i) Using the exact distribution:

The probability that Sn takes values less than 40 is:

Pr(S50<40) = Σ[k=0 to 39] (50+k−1 k) * (2/(2+1))^k * (1/3)^(50) ≈ 0.001340021.

(ii) Using the normal approximation:

The mean of Sn is μ = 50 * 2 = 100, and the variance of Sn is σ^2 = 50 * 2 * (1+2) = 300.

Therefore, Sn can be approximated by a Normal distribution with mean μ and variance σ^2:

Sn ~ N(100, 300).

We can standardize the value 40 using the normal distribution:

Z = (Sn − μ) / σ = (40 − 100) / √(300/50) = -3.08.

Using the standard normal distribution table, we find:

Pr(Sn<40) ≈ Pr(Z<−3.08) ≈ 0.0012.

So the probability that Sn is less than 40 is approximately 0.0012.

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The probability that five cars will arrive during the next thirty minute interval is 0.0361

What is probability?

Probability is a way of calculating how likely something is to happen. Numerous things are difficult to forecast with absolute confidence.

Main Body:

Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.

The average number of cars arriving in 15 minutes is 6.

The average number of cars arriving in 1 minute is = 6/15 = 2/5

The average number of cars arriving in 5 minutes is, (2/5)*5 = 2

The random variable X follows a Poisson distribution with parameter λ = 2.

The probability mass function of X is:

P(X=\(x\)) = \((e^{-2} 2^{x} )/x!\)  , x = 0,1 ,2 ,3...

Compute the probability that 5 cars will arrive in 5 minutes as follows:

P(X=5) =\((e^{-2} 2^{5} )/5!\)

P (X= 5) = 0.0361

Hence probability is 0.0361

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The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

Learn more about the concept of probability at https://brainly.com/question/24756209

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