Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. Which probabilities correctly complete the probability distribution for the 30 pieces of fruit, in the order listed?
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Answer:

2232 Backpacks

Step-by-step explanation:

124 x 18 = 2232

Answer:

A

Step-by-step explanation:

When you solve the equation it gives you the solution and it matches with the graph

The mean of this distribution is 0.55

The standard error of this distribution is 0.0384

We have the following:

p=0.55

sample size, n=168

Mean of distribution:

Mean=true proportion of voters who support a restaurant

Mean=p=0.55

Hence, the mean of distribution is 0.55

Standard error of the distribution:

\(=\sqrt{\frac{p(1-p)}{n} }\)

\(=\sqrt{\frac{0.55(1-0.55)}{168} }\)

=0.0384

Hence, the standard error is 0.0384

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The questions was incomplete, the complete question is given below:

Suppose the true proportion of voters in the county who support a restaurant tax is 0.55. Consider the sampling distribution for the proportion of supporters with sample size n = 168.

What is the mean of this distribution?

What is the standard error of this distribution?

Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.

High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.

It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.

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Answer:

\( \\b.( - 8 - 356781012)\)

Answer:

D

Step-by-step explanation:

0.8x-5<=65

0.8x<=70

x<=700/8=87.5

Answer:

D

Step-by-step explanation:

(L+2) (W+2) this should be right based on the question

The new area of flowerbed will be (L+2) (W+2)

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

length = L

Width = W

Now,  increasing the length and width each by 2 ft.

new length = L+2

new width = W+2

Hence, the new area of the flowerbed is  (L+2) (W+2).

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Answer:

Cost of one bush = 23

Cost of one tree = 47

Step-by-step explanation:

Let cost of bushes be x per piece

Let cost of trees be y per piece

First order : 13x + 4 y = 487    ----(1)

Second order : 6x + 2y = 232 -----(2)

multiply (1) by 6   => 78x + 24y = 2922 ----(3)

multiply (2) by 13 => 78x + 26y = 3016 -----(4)

(3) - (4) ==> -2y = -94

                    y = 47

Substitute y = 47 in (1) ==> 13x + 4(47) =487

                                         13x = 487 - 188

                                           13x = 299

                                             x = 23

Answer:

12 books.

Step-by-step explanation:

6x+8=80

6x=72

x=12

Using the sum of angles, we know that the value of 'x' is 14°.

What is the sum of the angles of a triangle?

Some of the angles of a triangle are the property of triangle states that the sum of interior angles of a triangle is 180°.

Given angles are 47, 103, 3x-12:

Therefore, using the sum of angles, we know that the value of 'x' is 14°.

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Answer:

Step-by-step explanation:

A, because the slope 3 is larger than a slope of 1.

Equation A's line is steeper than equation B's line because it has a higher slope.

To determine which equation's line is steeper, we need to compare their slopes. In both equations, the coefficients of the x term represent the slope of the line.

Let's first rewrite both equations in slope-intercept form, which is of the form y = mx + b, where "m" is the slope and "b" is the y-intercept:

A. y = 3x + 7

B. y = x + 9

In equation A, the coefficient of x is 3, which means the slope of the line is 3.

In equation B, the coefficient of x is 1, which means the slope of the line is 1.

Now, to compare the slopes, we can see that the slope of equation A (3) is greater than the slope of equation B (1).

This means that the line represented by equation A is steeper than the line represented by equation B.

Hence, equation A's line is steeper than equation B's line because it has a higher slope.

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Inequality is a statement of an order relationship between two figures or algebraic expressions. Ryan used at least 1189 minutes.

In mathematics, an inequality is a relation which makes a non-equal comparison between two figures or other fine expressions. It's used most frequently to compare two figures on the number line by their size.

Given

Let m be the number of minutes used.

Yearly cost = fixed cost variable cost

fixed cost = 13

Variable cost = 0.05 × m

Yearly cost = 130.05 m

It says in the problem that the least he has been charged in a month is$72.45.

This means that the yearly cost is at least72.45.

In other words, the yearly cost is72.45 or bigger.

This can be expressed as 130.05 m ≥72.45

130.05 m ≥72.45

13- 130.05 m ≥72.45- 13

00.05 m ≥72.45- 13

m ≥59.45

Divide both sides by0.05

m/0.05 ≥59.45/0.05

m ≥ 1189

thus, Ryan used at least 1189 minutes

Question

For his phone service, Ryan pays a yearly figure of$13.00, and he pays an fresh$0.05 per nanosecond of use. The least he has been charged in a month is$72.45. What are the possible figures of twinkles he has used his phone in a month?

Use m for the number of twinkles, and break your inequality form.

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The variable associated with the interior and exterior angles in the triangle is equal to 56.

The value of the exterior angle is equal to 116°.

This question presents the case of a geometric system formed by a triangle and a semirray that includes two interior angles and a exterior angle. Please notice that the sum of the measures of interior angles in a triangle equals 180° and the sum of two supplementary angles equals 180°.

First, derive the equation of the missing interior angles in triangle PQR:

m ∠ R = 180° - 60° - x

m ∠ R = 120° - x

Second, obtain the equation for the two supplementary angles:

(120° - x) + (2 · x + 4°) = 180°

124° + x = 180°

x = 56

Third, determine the value of the exterior angle:

θ = 2 · x + 4

θ = 2 · 56 + 4

θ = 116°

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The property of 8(9 + 0 ) = 8(9) is the identity property of addition.

It should be noted that the identity property of addition states that the sum of 0 and any number will be equal to that number.

In this case, the property of 8(9 + 0 ) = 8(9) is the identity property of addition. This was illustrated as 9 + 0 equals to 9.

Therefore, the property is the identity property of addition.

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Answer:

0/2

Step-by-step explanation:

Answer:

372 miles

Step-by-step explanation:

You need to multiply 62 and 6

Answer:

372

Step-by-step explanation:

just mulitple

i hope thi shelps

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The given graph is shown below

The table (D) values would produce the same graph as shown.

Mathematical structures known as graphs are used to describe pairwise relationships between things. Graph theory is the study of these mathematical structures. Vertices (also known as nodes or points) and edges are what make up a graph in this sense (also called links or lines). It is possible to distinguish between directed and undirected graphs, where edges connect two vertices asymmetrically and symmetrically, respectively. One of the primary topics in discrete mathematics is graphs.

From the graph, find the intercepts,

At x = 0, the value of y is -1.

At, y = 0, the value of x is 4

So, from the given options, we can see that the values are given in table (D).

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Answer:

B

Step-by-step explanation:

cos B = \(\frac{adjacent}{hypotenuse}\) = \(\frac{Y}{Z}\) = \(\frac{20}{25}\) = \(\frac{4}{5}\)

Answer:

(3, 3) (1, -1)

Step-by-step explanation:

Answer:

(1, - 1) , (3, 3 )

Step-by-step explanation:

Given the 2 equations

3 + y - 2x = 0 → (1)

3x² + 2y² - 4xy = 9 → (2)

In (1) subtract 3 - 2x from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

3x² + 2(2x - 3)² - 4x(2x - 3) = 9 ← distribute and simplify left side

3x² + 2(4x² - 12x + 9) - 8x² + 12x = 9

3x² + 8x² - 24x + 18 - 8x² + 12x = 0

3x² - 12x + 18 = 9 ( subtract 9 from both sides )

3x² - 12x + 9 = 0 ( divide through by 3 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

Substitute these values into (3) for corresponding values of y

x = 1 : y = 2(1) - 3 = 2 - 3 = - 1 ⇒ (1, - 1 )

x = 3 : y = 2(3) - 3 = 6 - 3 = 3 ⇒ (3, 3 )

The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

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(a) The given vectors form a lattice known as a primitive cubic lattice. In a Cartesian coordinate system, a primitive cubic lattice consists of points arranged at the corners of a cube.

b) The volume of the primitive cell is V_primitive = 0.

c) Since the volume of the primitive cell is zero, there is no conventional unit cell for this lattice.

d) The separation between adjacent planes is d = 2π / (4a²) = π / (2a²).

e) The volume of the primitive cell with the new set of primitive vectors is V_primitive' = 0, which remains the same as the previous case.

a) The lattice vectors can be represented as a₁ = (2a, 0, 0), a₂ = (0, 2a, 0), and a₃ = (0, 0, 2a), where 'a' is the lattice parameter.

(b) To evaluate the volume of the primitive cell, we can find the scalar triple product of the lattice vectors:

V_primitive = |a₁ · (a₂ x a₃)|

The cross product of a₂ and a₃ is:

a₂ x a₃ = (2a, 0, 0) x (0, 0, 2a) = (0, 4a², 0)

Taking the dot product with a₁:

a₁ · (a₂ x a₃) = (2a, 0, 0) · (0, 4a², 0) = 0

(c) The lattice cannot be represented by a repeating unit cell with non-zero volume.

(d) The vectors a₁ and a₂ define a plane in the lattice. To find the separation between adjacent planes, we can use the formula:

d = 2π / |a₁ x a₂|,

where |a₁ x a₂| represents the magnitude of the cross product of a₁ and a₂. Since a₁ and a₂ are in the x and y directions, respectively, their cross product is in the z direction.

a₁ x a₂ = (2a, 0, 0) x (0, 2a, 0) = (0, 0, 4a²)

The magnitude of a₁ x a₂ is |a₁ x a₂| = 4a².

(e) Another possible choice of primitive lattice vectors could be:

b₁ = (a, 0, 0)

b₂ = (0, a, 0)

b₃ = (0, 0, a)

To evaluate the volume of the primitive cell using these vectors, we can calculate the scalar triple product:

V_primitive' = |b₁ · (b₂ x b₃)|

The cross product of b₂ and b₃ is:

b₂ x b₃ = (0, a, 0) x (0, 0, a) = (0, 0, a²)

Taking the dot product with b₁:

b₁ · (b₂ x b₃) = (a, 0, 0) · (0, 0, a²) = 0

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The equation would be (qn + 1 = rqn + c)

A statement that defines the equality of two mathematical expressions is called an equation. The goal is frequently to ascertain the values of the variables that make the equation true, and it may have one or more variables.

An equation that expresses qn+1, the quantity of the antibiotic just after taking the (n+1)th tablet, in terms of qn, the quantity just after taking the nth tablet, is given by:

qn+1 = rqn, assuming the quantity of the antibiotic in the body decreases over time.

Alternatively, if the quantity of the antibiotic in the body increases over time, the equation would be: qn+1 = rqn + c, where c is a constant representing the additional amount of the antibiotic added by taking the (n+1)th tablet.

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Answer:

x = 15

Step-by-step explanation:

3x - 7 =38

3x = 38+7

3x = 45/3

x = 15

The correct coefficient of x is 5 and the correct equation is 5x-7=38.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3x-7=38.

Solution to given equation is

3x=38+7

3x=45

x=15

The teacher say the answer is 6 less than the answer she found.

Which is x=9

The teacher says that Joan copied the coefficient of x incorrectly

If equation is 5x-7=38

5(9)-7=38

38=38

Therefore, the correct coefficient of x is 5 and the correct equation is 5x-7=38.

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9514 1404 393

Answer:

  v = 39; w = 47; x = 94; y = 39; z = 47

Step-by-step explanation:

The figure shows v° and 51° are complementary, as are z° and 43°.

  v° = 90° -51° = 39°

  z° = 90° -43° = 47°

Vertical angles are congruent.

  y° = v° = 39°

  w° = z° = 47°

And the angle x° is a vertical angle with the sum of 51° and 43°.

  x° = 43° +51° = 94°

To calculate the mean, standard deviation, and variance for a binomial variable, we need the values of n and p.

The mean (or expected value) of a binomial variable is given by the formula mean = n * p. The standard deviation is calculated using the formula standard deviation = sqrt(n * p * (1 - p)), and the variance is equal to (n * p * (1 - p)). Now, let's calculate the mean, standard deviation, and variance for the given values of n and p:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)


Substitute the values of n and p into the formulas: Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)
Calculate the values:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p) Remember to replace n and p with their respective values in each calculation.

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Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Without the individual probability of a passenger showing up, we cannot calculate the exact probability of the number of people who show up exceeding the capacity of the plane

To solve this problem, we need to determine the probability that more than 65 people (the capacity of the plane) will show up from the 70 booked passengers.

Step 1: Identify the relevant information
- Maximum capacity of the plane: 65
- Number of people booked: 70

Step 2: Calculate the probability of each possible outcome
To exceed the capacity, at least 66 passengers must show up. We need to calculate the probability of 66, 67, 68, 69, and 70 passengers showing up. However, we don't have information on the individual probability of a passenger showing up. If we had this information, we could use the binomial probability formula.

Step 3: Express the final answer
Unfortunately, without the individual probability of a passenger showing up, we cannot calculate the exact probability of the number of people who show up exceeding the capacity of the plane. Please provide the probability of a passenger showing up so we can give you an accurate answer.

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The equation of line parallel to y = -3 passing through (2,6) is y = 6

The slope-intercept form of straight line is used to find the equation of line. It is given as y =mx + b

where m is a slope of line

b is y-intercept

According to the question,

The required line is parallel to line y = -3

Slope of given line : m₁

m₁ = 0

When two lines are parallel to each other then their slopes are equal

Therefore , slope of required line is m₂ =  m₁ = 0

Also , given that the line is passing through the coordinate (2,6)

So , 6 = 0(2) + b

=> b = 6

Substituting the values of slope and intercept

y = 6 is required equation of line

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