Changing the μ of a distribution does what to the probability density function?
A)Shifts the distribution on the vertical axis
B)Determines the spread of the distribution
C)None of the above
D)Shifts the distribution on the horizontal axis

the expression are equivalent compound condition for the nested conditionals is (x > 200) and (y < 200).

ii. The equivalent compound condition for the nested conditionals is not (x > 200 and y > 200).

iii. The equivalent compound condition for the nested conditionals is not ((x ≤ 200) or (y ≥ 200)).

The equivalent compound conditions for the given nested conditionals are as follows:

i. The compound condition (x > 200) and (y < 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be true for the condition to be satisfied.

ii. The compound condition not (x > 200 and y > 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.

iii. The compound condition not ((x ≤ 200) or (y ≥ 200)) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.

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The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016, when  open ground in a year has mean 6 and standard deviation 2.4.

It imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.

Given,

Mean = 6

Standard deviation = 2.4

The value that has been reduced by the population mean and divided by the standard deviation is called the z-value.

z = x - mean/ standard deviation/√n

z = 5 - 6/2.4/√50

z = - 2.95

Using table A, calculate the corresponding probability;

= P(x <5)

= P( z < -2.95)

= 0.0016

The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016.

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Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

The parallel linear functions are given as follows:

1) y = x + b, b ≠ 17.

4) y = b, b ≠ -3.

5) y = b, b ≠ 19.

6) x = b, b ≠ 19.

The definition of a linear function, in slope-intercept format, is given as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

When two linear functions are parallel, they have the same slope, along with different intercepts.

Hence, the parallel functions are given as follows:

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Dimensions : 16 x 20

solving steps:

So we found Width = 16 feet

Length:

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

The p-value is the probability of observing a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true. We are given that the p-value is 0.0187.

The null hypothesis is that the proportion of red cars among Phillies fans is the same as the national proportion, i.e., p = 0.12. The alternative hypothesis is that the proportion of red cars among Phillies fans is greater than the national proportion, i.e., p > 0.12.

We can use a one-sample proportion test to test this hypothesis. The test statistic is:

z = (P - p) /\(\sqrt(p*(1-p)/n)\)

where P is the sample proportion, p is the hypothesized proportion under the null hypothesis, n is the sample size, and sqrt is the square root function.

In this case, p = 0.12, P = 35/210 = 0.1667, and n = 210. Plugging these values into the formula, we get:

z = (0.1667 - 0.12) / \(\sqrt(0.12*(1-0.12)/210)\) = 2.072

The p-value is the probability of observing a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true. We are given that the p-value is 0.0187.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is convincing evidence that Phillies fans are more likely to drive red cars than the national proportion of 12%.

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Answer:

5 dvds

Step-by-step explanation:

15 per dvd

15x+10 and then it has to be less then 100

not sure how the format is for the question but i think its

for the second column: y=2+2, y=6+2, y=7+2

for third column: 4, 8, 9

for the fourth column: (2,4), (6,8), (7,9)

for the according to the table:

(6,8), when his brother is 6 he is 8

for the graph: graph out the points (2,4), (6,8), (7,9)

another solution can be when he is 5 his brother is 3

(these should be right)

Answer:

8) Table

2...

6...

7...

According to table 6, the point (6,8) means when his brother is 8 Trisjohn is 6

For the graph plot points at (2,4) (6,8) and (7,9) and connect with a straight line

When Kimarius is 5 his brother is 3

Have a lovely day :)

Investigate the effects of A, B, and C on machine tool life using Equation (6.6) with two levels for each factor.

The engineer aims to study the impact of cutting speed (A), tool geometry (B), and cutting angle (C) on the life of a machine tool, measured in hours. Equation (6.6) provides the SSB (sum of squares between) value, given by (ab + b − a − (1))^2 / 4n.

To conduct the study, the engineer considers two levels for each factor, representing different settings or conditions. By manipulating these factors and observing their effects on machine tool life, the engineer can analyze their individual contributions and potential interactions.

Utilizing the SSB equation and collecting relevant data on machine tool life, the engineer can calculate the SSB value and assess the significance of each factor. This analysis helps identify the factors that significantly influence machine tool life, providing valuable insights for optimizing cutting speed, tool geometry, and cutting angle to enhance the machine's longevity.

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by strong induction, we can form any amount of money that is a multiple of $2$ greater than or equal to $2$.To prove this using strong induction, we need to show two things:

1. That we can form the amounts $2$ and $5$ using just $2$-dollar bills and $5$-dollar bills.
2. That if we can form any amount $n$ using just $2$-dollar bills and $5$-dollar bills, we can also form the amount $n+2$.

For the base case, it's clear that we can form the amounts $2$ and $5$.

For the inductive step, assume that we can form any amount $k$ using just $2$-dollar bills and $5$-dollar bills, where $k \geq 5$. We want to show that we can also form the amount $k+2$.

There are two cases to consider:

1. If we have at least one $5$-dollar bill, then we can form the amount $(k+2)$ by adding a $5$-dollar bill to the amount $(k-3)$, which we know we can form using just $2$-dollar bills and $5$-dollar bills.
2. If we don't have any $5$-dollar bills, then we must have at least two $2$-dollar bills. We can form the amount $(k+2)$ by using one of the $2$-dollar bills to form the amount $(k-3)$, which we know we can form, and then adding three more $2$-dollar bills.

Therefore, by strong induction, we can form any amount of money that is a multiple of $2$ greater than or equal to $2$.

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Answer:

504

Step-by-step explanation:

7*8*9=504

Answer:

First Graph: h(x) = 0.5x^2

Second Graph: f(x) = -2x^2

Third Graph: j(x) = 2x^2

Fourth Graph: g(x) = -x^2

Step-by-step explanation:

First Graph and the Third Graph both open upwards thus we know the coefficient will be positive. Using the point (2,2) as a guide on the first graph, we can see that the best option to fit the first graph would be \(h(x) = 0.5x^2\) as \(h(2) = 0.5 (2)^2 = 0.5(4) = 2\). From process of elimination, we can see that the third graph will be \(j(x) = 2x^2\). Another way to determine this is by looking at the shape of the curves. The first graph opens "wider" thus meaning the coefficient will be smaller.

Second Graph and the Fourth Graph both open downwards thus we know the coefficient will be negative. We only have the options of \(f(x) = -2x^2\) and \(g(x) = -x^2\). We can see that the fourth graph opens "wider" so the coefficient will be smaller thus second graph will be f(x) = -2x^2  and the fourth graph will be g(x) = -x^2. Another way to determine this is by checking a point on a graph. On the fourth graph, there is the point (-2,4). This matches with the equation as \(g(-2) = -x^2 = -(-2)^2 = -4\).

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Answer:

10.2

Step-by-step explanation:

the hypotenuse is 13 and one of its lengths is 8. Let's assume that the perpendicular is 8 and we have to find the base so

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

8^2+b^2=13^2

64+b^2=169

b^2=169-64

b^2=105

\(\sqrt{b^{2}\)=\(\sqrt{105}\)

b=10.246950766

to the nearest tenth

b=10.2

Answer: x = 500

Step-by-step explanation:

1. You turn it into 30 + 0.05x = 60

2. Subtract 30 from both sides to get 0.05x = 30

3. Then divide 30 by 0.05 and get 600

4. Write down x = 600

Answer:

Step-by-step explanation:

false true true false

Answer:

false true true and false

Step-by-step explanation:

\( \sqrt{36 - 25} = \sqrt{11} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

The cardinal number for the given set. A {21,23,25,27} sees; The given set has a cardinal number of 4.

This is further explained below.

Generally, cardinal numbers are an extension of the natural numbers that are used to assess the cardinality of sets. Cardinals are often referred to by their shorter form, cardinals. A finite set has a cardinality that is equal to a natural number, which is the number of items that are included inside the set.

A set of counting numbers is called its cardinal number. There is speculation that they are cardinals as well. Cardinal numbers are whole, non-fractional numerals, beginning with 1 and continuing in numerical order. Cardinal numbers include 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, and 20.

In conclusion, The provided set A equals  {21,23,25,27}

The number of unique components that make up a set is referred to as the cardinal number.

The given set has a cardinal number of 4, which is denoted by the notation n(A).

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Answer:

BA ≅ DA

Step-by-step explanation:

∠BAC = ∠DAC                           Given  

AC = AC                                     Reflexive

At this point you have a side and an angle

if BA ≅DA   then SAS

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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To diagonalize the matrix A = [-3 0; a], we need to find a diagonal matrix D and a diagonalizing matrix P such that P'AP = D.

Let's find the eigenvalues of A first: det(A - λI) = 0, where λ is the  eigenvalue and I is the identity matrix. The characteristic equation is:

(-3 - λ)(a - λ) = 0. λ^2 + (3 + a)λ + 3a = 0.  Now, solving this quadratic equation for λ, we get the eigenvalues: λ = (-3 - a ± √((3 + a)^2 - 12a)) / 2.

Next, let's find the corresponding eigenvectors for each eigenvalue. For the first eigenvalue, λ_1 = (-3 - a + √((3 + a)^2 - 12a)) / 2, we solve the equation (A - λ_1I)v_1 = 0 to find the eigenvector v_1.

For the second eigenvalue, λ_2 = (-3 - a - √((3 + a)^2 - 12a)) / 2, we solve the equation (A - λ_2I)v_2 = 0 to find the eigenvector v_2.Once we have the eigenvectors, we can construct the matrix P using the eigenvectors as columns. P = [v_1 v_2].  The diagonal matrix D will have the eigenvalues on its diagonal: D = [λ_1 0; 0 λ_2].  Now, let's compute A: A = PDP^(-1).  To compute A, we need to find the inverse of P, denoted as P^(-1). Finally, we can compute A as: A = PDP^(-1). Substituting the values of P, D, and P^(-1) into the equation, we can find the explicit form of matrix A.

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This is an example of a biased research sample. By only surveying students at a wealthy private college, the researcher may not accurately capture the budgeting behavior of college students as a whole.

The sample is limited and not representative of the entire population of college students. To ensure more accurate and unbiased results, the researcher should consider surveying a diverse range of college students from different socioeconomic backgrounds and institutions. In this scenario, a researcher wants to study budgeting behavior among college students but only surveys students at a wealthy private college with a tuition of $65,000 per year. This is an example of a biased research sample. The sample is not representative of the broader population of college students, as it only includes students from a specific socio-economic background attending a wealthy private college.

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Using the table, it is found that:

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Answer:

a) 9 / 200

b) 13 / 100

Step-by-step explanation:

a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.

Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).

There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10  = 9 / 200

b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.

There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100

Answer:

Right angled triangle

Step-by-step explanation:

Right angled triangle has angle of 90degree

Answer:

Step-by-step explanation:

It applies only to a right angled triangle.

Check the picture below.

so the volume is really just the product of the trapezoidal face and the length, and we know is 464.75 ft³.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ b=8\\ a=5 \end{cases}\implies A=\cfrac{5(5+8)}{2}\implies A=\cfrac{65}{2}~ft^2 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large volume of the prism}}{\stackrel{\textit{area of trapezoid}}{\left( \cfrac{65}{2} \right)} \stackrel{length}{(x)}}~~ = ~~464.75\implies \cfrac{65x}{2}=464.75 \\\\\\ 65x=(2)464.75\implies x=\cfrac{(2)464.75}{65}\implies x=14.3\)

Answer:

$212

25 + 11t

Step-by-step explanation:

Total wage = fixed wage + variable wage

Fixed wage = $25

Variable wage depends on tips from a number of tables

Abigail gets $11 in tip per table

Let t = number of tables

Variable wage = 11t

Total wage = 25 + 11t

How much would Abigail expect to earn in a day on which she

waits on 17 tables?

Total wage = 25 + 11t

= 25 + 11(17)

= 25 + 187

= $212

Abigail will earn a total of $212 if she waits on 17 tables each day

How much would Abigail expect to make in a day when

waiting on t tables?

Total wage = 25 + 11t

When t = t

Total wage = 25 + 11t

Abigail will earn a total of 25 + 11t if she waits on t tables each day

Answer:

\(54^\circ\)

Step-by-step explanation:

Given :

\(m\angle A=(2x+10)^{\circ}\)

\(m\angle B=(3x+15)^{\circ}\)

And angles \(\angle A\) and \(\angle B\) are complementary angles.

To find:

The measure of \(\angle B\).

Solution:

First of all, let us learn about complementary angles.

Complementary angles are the angles whose sum is equal to \(90^\circ\).

And we are given that angles \(\angle A\) and \(\angle B\) are complementary angles.

Therefore \(\angle A\) + \(\angle B\) = \(90^\circ\)

\(\Rightarrow 2x+10+3x+15=90\\\Rightarrow 5x+25=90\\\Rightarrow 5x=65\\\Rightarrow x =13\)

Putting the value in \(\angle B\).

\(m\angle B=(3\times 13+15)^{\circ} = 54^\circ\)

Therefore, the answer is \(\bold{\angle B = 54^\circ}\)

Answer:

Bruce hit the farthest distance with the driver. The distance was 576 feet.

Step-by-step explanation:

Bruce hit the farthest distance with the driver because he had the most distance with the driver club and the distance was 576 feet .

Answer:

Bruce hit the shortest distance with the 9 iron. The distance was 297 feet.

The perimeter of the tiles is 53 inches.

The perimeter of the two dimensional figure is the sum of the whole sides of the figure,

Therefore, let's find the base of the other triangle and the height of the other as follows:

using trigonometric ratios,

cos 35  = adjacent / hypotenuse

cos 35 = x / 12

cross multiply

x = 12 cos 35

x = 9.82982453147 inches

sin 35 = opposite / hypotenuse

sin 35° = y / 12

cross multiply

y = 12 sin 35

y = 6.88291723621

Therefore, lets use Pythagoras's theorem to find the height of the other triangle.

9 + 6.88 = 15.88

Therefore,

15.88² - 8² = h²

252.267059932 - 64 = h²

h = √188.267059932

h = 13.7210422345

Therefore,

perimeter of the figure = 8 + 9 + 13.72 + 12 + 9.83

perimeter of the figure = 52.55

perimeter of the tiles = 53 inches

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