Suppose the physics club is going on a field trip. Members will be riding in vans that will hold 7 people each including the driver. At least 24 people will be going on the field trip. What is the least number of vans needed to make the trip?

The expected number of defective shirts produced by the factory on Friday is of:

42 shirts.

The expected number of defective shirts produced by the factory on Friday is obtained as the multiplication of the sample proportion by the total number of shirts produced on Friday.

The manager of a clothing factory checks a random sample 500 shirts for defects he finds that 8 are defective, hence the sample proportion is given as follows:

p = 8/500 = 0.016.

The factory produces 2625 shirts on Friday, hence the expected number of defective shirts is given as follows:

E(X) = 0.016 x 2625 = 42 shirts.

The problem is incomplete and could not be found on any search engine, hence we suppose that it asks for the expected number of defective shirts produced by the factory on Friday.

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Answer:

Dang, too difficult. Anyways,

In a right triangle, if one angle is 45 degrees, it means that the other two angles must be 45 degrees as well, making it an isosceles right triangle. Given that the length of one leg is 4√2 m, we can determine the lengths of the missing sides using the properties of an isosceles right triangle.

Since an isosceles right triangle has two equal legs, the lengths of the vertical leg and horizontal leg will be the same. Let's denote the length of each leg as "m."

Using the Pythagorean theorem, we can find the length of the hypotenuse (the side opposite the right angle) in terms of "m":

hypotenuse^2 = leg^2 + leg^2

hypotenuse^2 = m^2 + m^2

hypotenuse^2 = 2m^2

To find the length of the hypotenuse, we take the square root of both sides:

hypotenuse = √(2m^2) = √2 * m

In summary, for the given isosceles right triangle with one leg measuring 4√2 m, both the vertical leg and horizontal leg will have a length of "m," while the length of the hypotenuse will be √2 * m.

The sequence of numbers for the expression -n² - 2n + 3 is

0, -5, -12, -21, and -32.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-n² - 2n + 3

The sequence of numbers for n = 1, 2, 3, 4, 5 are:

n = 1,

-1 - 2 + 3

= -3 + 3

= 0

n = 2,

-4 - 4 + 3

= -8 + 3

= -5

n = 3,

-9 - 6 + 3

= -15 + 3

= -12

n = 4,

-4² - 2 x 4 + 3

= -16 - 8 + 3

= -21

n = 5,

-25 - 10 + 3

= -35 + 3

= -32

Thus,

The sequence of numbers is 0, -5, -12, -21, and -32.

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Answer:

a. -7, -8, -10

b. In -3x≥18, the solution set includes -6 (which gives -18) because -18 is equal to -18, which is allowed. In -3x>18, -6 is not allowed since -18 cannot equal -18.

Answer:

OMG UVA BUDDY!!

Step-by-step explanation:

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

A different term for a quadratic function's zeros is "roots." The zeros or roots of a quadratic function are the points on the x-axis where the function meets or crosses it.

They stand in for the x values at which the quadratic function equals zero. Depending on the discriminant of the quadratic equation, the zeros or roots of a quadratic function can either be real or complex integers. The quadratic has two unique real roots if the discriminant is positive. The quadratic has a single real root, also referred to as a double root or repeating root, if the discriminant is zero. The quadratic has two complex roots that can be represented as a + bi if the discriminant is negative.

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Answer:

6.244 x 10^-1

Step-by-step explanation:

Answer:

C. 4≤x≤6

Step-by-step explanation:

First things first, let’s learn the difference between domain and range. Domain is the spread of the x values and range is the spread of the y values. This means that in this question, you can rule out options A and B because those could potentially show range. Now we are left with options C and D. When we look at the first x coordinate, we see that it’s a 4. The last x coordinate is a 6. This means that the domain is greater than or equal to 4, but less than or equal to 6. You can also represent it as 4≤x≤6.

Hope that helps! Have a fantastic day!

Answer:

288

Step-by-step explanation:

Let x represent the smaller number then the larger number would be 120%x

We can use this to set up an equation:

\(x+120\%x=528\)

Convert 120% to a fraction (any percentage is just that number over 100):

\(x+\frac{120}{100}x=528\)

Simplify the fraction:

\(x+\frac{6}{5}x=528\)

Add like terms:

\(\frac{5}{5}x+\frac{6}{5}x=528\\\frac{11}{5}x=528\)

Multiply both sides by 5:

\(11x=2640\)

Divide both sides by 11

\(x=240\)

Therefore...

\(120\%*240=\frac{6}{5}(240)=\frac{1440}{5}=288\)

The larger number is 288

If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then X and Y are not independent i.e. x ⊥⊥ y is false.

The given statement, "If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y" is false. What is the independence concept?

The independence concept is an important concept in probability theory. Independence is a mathematical concept that refers to a situation where knowledge of one event has no effect on the likelihood of another event. The independence concept is a key property of many probability distributions in statistics.

Two variables X and Y are said to be independent if the knowledge of one variable doesn't affect the distribution of the other variable, i.e. P(X|Y) = P(X).Given Definition:

By definition, x ⊥⊥ y iff f(x, y) = f(x) · f(y) for all (x, y).

Now we will check the statement's validity.

That is, If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y. This statement is false.

Let's check why?

Assume that X and Y are not independent i.e. P(X, Y) ≠ P(X)P(Y).

Then f(x, y) = P(X = x, Y = y) ≠ P(X = x)P(Y = y) = f(x) · f(y).

Therefore, f(x, y) = f(x) · f(y) is only true when X and Y are independent.

So, we can conclude that If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then X and Y are not independent i.e. x ⊥⊥ y is false.

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The equation of the line is y = 1/3x - 7

Linear equations are equations that have constant average rates of change.

The given parameters are

Slope, m = 1/3

y-intercept, c = -7

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = mx + c

Where m =  1/3 and c = -7

So, we have

y = 1/3x - 7

Hence. the linear equation is y = 1/3x - 7

See attachment for the graph

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Answer:

There are no solutions.

Step-by-step explanation:

When you use the quadratic formula, you’ll find a square root of a negative integer, and that’s not a real number.

Answer:

we have:

k + 70° = 180°

=> k = 110°

u can see that i = 180°

=> k + i = 110° + 180° = 290°

Step-by-step explanation:

Answer:

5.45

Step-by-step explanation:

just did on delta math

Answer:

5.45

Step-by-step explanation:

tan B =tanB=  adjacent  / opposite  = 60/11

 ≈5.4545≈5.45

Answer:

Kindly check explanation

Step-by-step explanation:

x = number of hours Lin works in a week

Inequality (1) : Least Numbe rod hours worked

x ≥ 5 - - - (1)

Possible earning including transportation allowance :

8.25x + 10 ≥ 175 - - - (2)

Solving for X from (2)

8.25x ≥ 175 - 10

8.25x ≥ 165

x ≥ 20 hours

To earn upto 175 per week, then he has to work for 20 hours

Using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.

Given the problem above, we would do the following:

Using the information given, we would form two equations for the system as shown below:

2v + 3d = 90 ---> equation 1

v + 2d = 51.5 ---> equation 2

Multiply equation 2 by 2 to get equation 3

2v + 4d = 103 ---> equation 3

Subtract equation 1 from equation 3

d = 13

The cost of one DVD = d = $13.00

Substitute d = 13 into equation 2

v + 2d = 51.5 ---> equation 2

v + 2(13) = 51.5

v + 26 = 51.5

v = 51.5 - 26

v = 25.5

The cost of one video game = v = $25.50.

Therefore, using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.

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13

x=15

because of the other one is the only thing

Answer/Step-by-step explanation:

GIven;

A customer in Maine orders a Dog Treat Bundle for $34.80.

The sales tax in Maine is 5.5%.

To Find;

How much sales tax is collected on the order?

Solve;

$34.80 * 5.5% = 1.914

Round: 1.914 = 1.91 [Sales tax added]

$34.80 + 1.91 = 32.89 [Total]

Hence, $1.91 sales tax is added and $32.89 is the total (include sales tax)

~Learn with lenvy~

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

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Answer:

The answer is 2.295

Step-by-step explanation:

0,09 x 25.5 = 2.295

Answer:

Reflect across the x axis

translate (x,y) to (x+6 , y)

Step-by-step explanation:

translations

(x - _, y) is to the left

(x + _, y) is to the right

(x, y - _) is down

(x, y +_) is up

9514 1404 393

Answer:

  $3.50

Step-by-step explanation:

If c represents the cost of one comic book, the transaction can be written as the equation ...

  6c = $21

Dividing by 6, we get ...

  c = $21/6 = $3.50

The cost for 1 comic book was $3.50.

_____

You know that the total cost of a transaction is the sum of the costs of each part. When all the parts have the same value, we can multiply the cost of one part by the number of parts.

Answer:

3.50

Step-by-step explanation:

When constructing a histogram, the horizontal (x) axis represents the range of values of the variable being measured or observed, while the vertical (y) axis represents the frequency or count of observations falling within each interval or bin.

More specifically, the x-axis usually represents the range of possible values of the variable being measured or observed, divided into a series of intervals or bins. Each bin represents a range of values that fall within a certain interval or category. The width of the bins should be chosen carefully to ensure that the data is displayed clearly and accurately.

The y-axis represents the frequency or count of observations that fall within each bin. This can be represented as either the number of observations that fall within each bin or as a percentage of the total number of observations. The y-axis should also be chosen carefully to ensure that the data is displayed clearly and accurately.

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An algebraic expression can have multiple operators (signs), but the final constant answer will have a single sign.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

Given that, the answer is -w +8.

Note that there is no two sign in the answer, In fact, the answer is an expression, not a constant number.

Therefore, when you will put any value tow, there will be a single sign answer.

For example, consider w = 5, then,

-w + 8

= -5 +8

= 3

Hence, an algebraic expression can have multiple operators (signs), but the final constant answer will have a single sign.

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Answer:

a

b

d

a

Step-by-step explanation:

Answer:

it is the third one

Step-by-step explanation:

Answer:

the first answer angle a is not congruent to angle g

Step-by-step explanation:

MARK ME AS BRAINLIEST

so 1whole 1/2 = 3/2

4 - 3/2 = 5/2

answer= 5/2 litres left

Answer:

Step-by-step explanation:

AB

away fram house

2km 4mins

rate: 1km\minute

BC

away from house

5km 6mins

rate:0.83km\minute

CD

niether

0km 9mins

no rate

DE

toward house

6km 15mins

0.4km\minute