g ten random numbers are drawn from a standard normal distribution. what is the probability that at least one will exceed 2.66? round your answer to three decimal places.

Answer:

All you have to do is image flipping the triangle on the right over and then you'll see they are equal. You can also look at AB and DE and see they both are right angles.

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

-27 = 3(2m - 5)

-27 = 6m -15

-12 = 6m

-2 = m

Answer:

sqrt(29)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

2^2 + 5^2 = ?^2

4+25 = ?^2

29 = ?^2

Taking the square root of each side

sqrt(29) = sqrt(/^2)

sqrt(29) = ?

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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For the equation:

Identify the slope and the y-intercept by comparing with the general equation of a line with slope m and y-intercept b:

The slope of the given equation is equal to 6, and the y-intercept is equal to 4.

Both Mia and Mark agree that the y-intercept is equal to 4, but the slopes of the lines are different.

Notice that the red line has a negative slope, so, by no means that would be the graph of y=4+6x.

Observe that for a change of 1 step over the X-axis, the dotted line has an increase of 6 units over the Y-axis. You can look at the values for x=-1 and x=0. Therefore, the dotted line has a slope of 6 and a y-intercept equal to 4, which are precisely the values given by the equation.

Therefore, Mia is right.

Answer:

120 m

Step-by-step explanation:

To find the volume of the prism on the bottom, multiply length times height times width

3x3x12=108

next is the pyramid on top.

Formula is V=bh x 1/2

8, the height, times 3, the base, = 24

24x 1/2 or 24/2 = 12

108+12= 120

120 m

\( \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 3x - 10 } \)

let the denominator x² - 3x - 10 is f(x),

• Setting this factor equal to 0,

→ x² - 3x - 10 = 0

• By using Middle term splitting method,

→ x² - 5x + 2x - 10 = 0

→ (x² - 5x) + (2x - 10) = 0

• Taking common,

→ x( x - 5 ) + 2( x - 5 ) = 0

→ ( x - 5 ) ( x + 2 ) = 0

• Again, setting these factors equal to 0,

( x - 5 ) = 0 and ( x + 2 ) = 0

→ x = 5 → x = -2

Hence, the values that would make the fraction undefined is x = 5,-2...

The values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

To find the values that would make the fraction undefined, we need to identify any values of x that would make the denominator equal to zero.

The denominator of the fraction is (\(x^2 - 3x - 10\)). We need to solve the equation:

\(x^2 - 3x - 10 = 0\)

To factorize the quadratic equation, we look for two numbers that multiply to -10 and add up to -3. These numbers are -5 and 2:

(x - 5)(x + 2) = 0

Now, we can set each factor equal to zero and solve for x:

x - 5 = 0 => x = 5

x + 2 = 0 => x = -2

Therefore, the values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

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Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

the base should be a circle

Step-by-step explanation:

P(A∩B) = 0.35 and P(A∪B) = 0.85.

If A and B are independent events, the probability of their intersection, denoted as P(A∩B), can be calculated as the product of their individual probabilities, P(A) and P(B).

P(A∩B) = P(A) * P(B) = 0.5 * 0.7 = 0.35

To calculate the probability of their union, denoted as P(A∪B), we can use the formula:

P(A∪B) = P(A) + P(B) - P(A∩B)

Substituting the given values, we have:

P(A∪B) = 0.5 + 0.7 - 0.35 = 0.85

Therefore, P(A∩B) = 0.35 and P(A∪B) = 0.85.

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The arithmetic mean annual number of people receiving a bachelor's degree in Journalism is about 7,833.

To find the arithmetic mean annual number of people receiving a bachelor's degree in Journalism over the past seven years, we need to calculate the average of the given data set.

The data set representing the number of people receiving bachelor's degrees in Journalism for each of the seven years is:

4,033

5,642

6,407

7,753

8,719

11,154

11,121

To find the mean, we sum up all the values and divide by the total number of years (in this case, seven).

Mean = (4,033 + 5,642 + 6,407 + 7,753 + 8,719 + 11,154 + 11,121) / 7

= 54,829 / 7

≈ 7,832.714

Rounding to the nearest whole number, the arithmetic mean annual number of people receiving a bachelor's degree in Journalism over the past seven years is approximately 7,833.

Therefore, the arithmetic mean annual number of people receiving a bachelor's degree in Journalism is about 7,833.

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The value of the piecewise function for f(3) is 4

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x if x < 1

f(x) = 1/2x + 5/2 if x >= 1

The function f(3) implies that we make use of the function

f(x) = 1/2x + 5/2

This is because it is valid for x >= 1

substitute the known values in the above equation, so, we have the following representation

f(3) = 1/2 * 3 + 5/2

Evaluate

f(3) = 4

Hence, the piecewise function for f(3) is 4

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In order to apply the chain rule, we need a composite function that involves multiple variables and their relationship.

The chain rule allows us to calculate the derivative of a composite function by multiplying the derivative of the outer function with the derivative of the inner function.

However, without an explicit function or equation involving the variables (,,), (=), (=), and (=), it is not possible to determine their partial derivatives using the chain rule.

Additional information or a specific equation relating these variables is required for further analysis.

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The variables in the equations are aligned as follows:   2x - 3y = 9 and

2x - 3y = 8/3

When we talk about aligning a system of linear equations, we mean rearranging the equations so that the variables are in the same order and have the same coefficients. This is done to make it easier to apply methods for solving systems of equations, such as substitution or elimination.

In a system of linear equations, each equation typically involves two or more variables. The variables may have different coefficients in each equation, and they may appear in a different order. Aligning the system involves rearranging the equations in a way that puts the variables in the same order, with the same coefficients.

Align the variables in given the system of linear equations :

To align the variables in the given equations, we need to rearrange the second equation so that the coefficients of  and  are the same as in the first equation.

To align the variables in the equations, we need to rearrange the terms so that the x, y, and constant terms are all grouped together.

Starting with the first equation:

2x - 3y = 9

We can rearrange this as:

2x = 3y + 9

Now we can divide both sides by 2 to get x by itself:

x = (3/2)y + 4.5

Now let's move on to the second equation:

1-6x +9y = -7

We can rearrange this as:

-6x + 9y = -8

Next, we'll divide both sides by -3 to get x by itself:

2x - 3y = 8/3

Now both equations are in the form of:

ax + by = c

where a, b, and c are constants. The aligned equations are:

2x - 3y = 9

2x - 3y = 8/3

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In a linear grammar, for all productions, there is at most one variable on the left side of any production. This means that each production consists of a single nonterminal symbol and a string of terminal symbols.

For instance, consider the following linear grammar:
S → aSb | ε
This grammar is linear because each production has only one nonterminal symbol on the left-hand side. The first production has S on the left-hand side, and it generates a string of terminal symbols (a and b) by concatenating them with another instance of S.

The second production has ε (the empty string) on the left-hand side, indicating that S can also generate the empty string.A linear grammar is a type of formal grammar that generates a language consisting of a set of strings that can be generated by a finite set of production rules. In a linear grammar, all productions have at most one nonterminal symbol on the left-hand side.

This makes the grammar easier to analyze and manipulate than other types of grammars, such as context-free or context-sensitive grammars.

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A person buying a personal computer system has choice of 48 distinct computer systems that can be purchased.

To find the total number of distinct computer systems that can be purchased, we need to multiply the number of choices for each component.

Number of choices for the basic unit = 4 Number of choices for the keyboard = 3 Number of choices for the printer = 4

The total number of distinct computer systems that can be purchased is: 4 (choices for basic unit) x 3 (choices for keyboard) x 4 (choices for printer) = 48 Hence, there are 48 distinct computer systems that can be purchased.

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Answer:

they are 11.8 width bats

Answer:

Slope: 1/2

Step-by-step explanation:

Use rise over run.

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The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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The coordinate location of point C' after the dilation is (-10, 2).

What is coordinate location?

To find the coordinate location of point C' after the dilation by a scale factor of 4 about the center (-2,-2), we can use the following formula:

(x', y') = (k * (x - h) + h, k * (y - k) + k)

where (x, y) are the coordinates of the original point, (h, k) are the coordinates of the center of dilation, k is the scale factor, and (x', y') are the coordinates of the corresponding point after dilation.

For point C, the coordinates are (x, y) = (-2, -1) and the center of dilation is (h, k) = (-2, -2) with a scale factor of k = 4.

Plugging in these values, we get:

(x', y') = (4 * (-2 - (-2)) - 2, 4 * (-1 - (-2)) - 2)

= (-10, 2)

Therefore, the coordinate location of point C' after the dilation is (-10, 2).

What is coordinate?

A coordinate is a set of numbers or values that indicate the position or location of a point or object in a given space or system. Coordinates are often used in mathematics, geometry, physics, and other fields to describe the location of objects or points in a two- or three-dimensional space. The most common type of coordinates are Cartesian coordinates, which are represented by an ordered pair of numbers (x,y) that describe the location of a point on a two-dimensional plane, or an ordered triplet of numbers (x,y,z) that describe the location of a point in a three-dimensional space.

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Complete question is: The preimage shown above is dilated by a scale factor of 4 about the center (-2,-2). the coordinate location of the point C'after the dilation is (-10, 2).

Answer:

The expression becomes:

Explanation:

We want to solve the expression:

First of all, notice there is a mixed fraction in the expression. This can be converted into an improper fraction. Doing that, the expressioin becomes:

Next, we remove the bracket by multiplying each element in the bracket by 4.

Which becomes:

Now, we make this expression a single fraction as:

The equation of the line of best fit is y = -4.4x + 1058, where Slope is -4.4, Y-intercept is 1058.

The line of best fit can be found using the method of least squares, which involves finding the line that minimizes the sum of the squares of the differences between the observed and predicted values of the dependent variable (y). To find the equation of the line of best fit, we need to first find the slope (m) and the y-intercept (b) of the line.

The slope can be calculated using the formula:

where N is the number of data points, Σxy is the sum of the products of the x and y values, Σx is the sum of the x values, and Σy is the sum of the y values. Plugging in the values from the table, we get m = -4.4.

The y-intercept can be calculated using the formula:

Plugging in the values, we get b = 1058.

So, the equation of the line of best fit is y = -4.4x + 1058. The correlation coefficient measures the strength and direction of the linear relationship between two variables. To find the correlation coefficient, we need to calculate the covariance and the standard deviations of x and y. The formula for the correlation coefficient is:

where cov(x, y) is the covariance and s_x and s_y are the standard deviations of x and y.

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Answer:   The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.  

Answer:

There are 102 marbles in the jar

Step-by-step explanation:

16+18 = 34

34 = 1/3

3×34 = total marbles

3×34 = 102

Answer:

x=41

Step-by-step explanation:

x/50=82/100

cross multiply

100x= 82×50

100x= 4100

x= 4100/100

x= 41

check our work

41/50 × 100= 82 percent

Answer:

\( \frac{ - 9}{2} + \frac{9}{2} = 0\)

\( \frac{55}{3} + \frac{8}{3} = \frac{63}{3} \)

\( \sqrt{ {0}^{2} + \frac{ {63}^{2} }{3} } = \sqrt{ \frac{3969}{9} } = \frac{63}{3} \)

this is the

Answer:

6

Range is calculated by substracting smallest value but highest value.

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The probability that all four strawberry pieces will be received by the same child 9/10 outcome.

Total piece of candy = 40

Mint flavor = 36

Strawberry = 04

There are 36 + 04 = 40 total outcomes for the chocolate pick.

There are 36 outcomes resulting in you picking a mint candy.

Probability is the number of outcomes you’re testing for divided by the number of total outcomes. So in this case that’s 36/40 or 4/5 . And also,  

04 /40 = 1/10

Therefore, adding both, we get,

4/5 + 1/10 = 9/10

The probability that all four strawberry pieces will be received by the same child is 9/10.

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