decide whether the events are independent or dependent and explain your answer.-drawing a ball from a lottery machine, not replacing it, and then drawing a second ball.

Answer:

4.5 hours

Step-by-step explanation:

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Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Answer:

i say 45

Step-by-step explanation:

Answer:

5×3=15

so, definitely answer is 5

;-))

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

Answer:

The answer is 5 and -5.

Step-by-step explanation:

Answer:

not sure, sorry try googling it thats all i can answer

Step one could probably have been the result of multiplying 2/5 by the expression inside parenthesis:

This would be option B

The total cost of admission for 6 adults and 6 children to the museum is $71.4.

Total cost refers to the sum of all costs incurred in producing a product, delivering a service, or achieving a particular outcome. It encompasses all the expenses, both direct and indirect, that are associated with a specific activity, project, or process.

According to the given information:

To calculate the total cost of admission for 6 adults and 6 children to the museum, we can substitute the values of "a" and "c" into the given expression "7.1a + 4.8c" and perform the calculations.

Given:

Number of adults (a) = 6

Number of children (c) = 6

Admission cost per adult = $7.10

Admission cost per child = $4.80

Substituting the values into the expression:

7.1a + 4.8c = 7.1 * 6 + 4.8 * 6

Now, we can perform the calculations:

7.1 * 6 = 42.6

4.8 * 6 = 28.8

Adding the results together:

42.6 + 28.8 = 71.4

So, the total cost of admission for 6 adults and 6 children to the museum is $71.4.

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Answer:

7

Step-by-step explanation:

the shape is an isosceles triangle and it has 2 equal sides

One side of the bigger triangle =17 so the other side will be 17

17=10+a

a=17-10

a=7

Answer:

C

Step-by-step explanation:

As you can see this question is very simple all sides match with each other so we know a is 7

Answer:

Below

Step-by-step explanation:

1 qt = .9463529 L

3 Qt  * .9463529 L/Qt  = 2.84 Liters

Answer:

AC = 28

Step-by-step explanation:

small circle circumference = π2x

medium circle = π6x

large = π10x

π2x + π6x + π10x = 63π

π18x = 63π

18x = 63

x = 3.5

AC = 3x + 5x = 8x

AC = 8 x 3.5 = 28

The length of AC is 28 units.

Every point in the plane of a circle, which is a closed, two-dimensional object, is equally separated from the center. All lines that cross the circle join together to produce the line of reflection symmetry. Every angle has rotational symmetry around the center, in addition a segment of a line that connects the center of a circle to any point on the circle. The radius of the circle is denoted by "R" or "r."

As per the given data:

We are given a diagram in which 3 circles and a triangle is drawn.

The radius of all the circles is given, and the sum of the circumference of all the circles is also given.

The sum of the circumference is 63π.

⇒ 2π(3x) + 2π(x) + 2π(5x) = 63π

⇒ 18πx = 63π

⇒ x = 3.5

The length AC is given by:

= Radius of circle A + Radius of circle C

= 3x + 5x

= 8x

= 8(3.5)

= 28 units

The length of AC is 28 units.

Hence, The length of AC is 28 units.

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The partial fraction expansion takes the form

-6x/((x + 2) (x + 8)) = a/(x + 2) + b/(x + 8)

Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.

Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:

-6x = a (x + 8) + b (x + 2)

Expand the right side and collect terms by powers of x :

-6x = (a + b) x + (8a + 2b)

It follows that

a + b = -6   and   8a + 2b = 0

==>   a = -2   and   b = 8

So we end up with

-6x/((x + 2) (x + 8)) = -2/(x + 2) + 8/(x + 8)

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = dπ or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Using the z-distribution, we have that:

a)

b) Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.

Item a:

At the null hypothesis, it is tested if the mean is still of 50 miles per gallon, that is:

\(H_0: \mu = 50\)

At the alternative hypothesis, it is tested if the mean has increased, that is:

\(H_1: \mu > 50\)

Item b:

We have the standard deviation for the population, hence, the z-distribution is used to solve this question.

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

Hence, the values of the parameters are:

\(\overline{x} = 51.5, \mu = 50, \sigma = 6, n = 36\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{51.5 - 50}{\frac{6}{\sqrt{36}}}\)

\(z = 1.5\)

Using a z-distribution calculator, with a right-tailed test, as we are testing if the mean is greater than a value, with z = 1.5, the p-value is of 0.0668.

Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.

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The acute angle the ladder makes with the ground is 69.3 degrees.

The ladder is 5.1 m and it is leaning against a wall.

The wall is perpendicular to the ground.

This means the ground forms 90 degrees with the wall.

This situation forms a right angle triangle.

Therefore, the acute angle the ladder forms with the ground can be found as follows:

Using trigonometric ratios,

cos ∅ = adjacent / hypotenuse

where

∅ = acute angle

Therefore,

adjacent side = 1.8 m

hypotenuse side = 5.1 m

Hence,

cos ∅ = 1.8 / 5.1

∅ = cos⁻¹ 0.35294117647

∅ = 69.3326835065

∅ = 69.3°

Therefore, the acute angle the ladder makes with the ground is 69.3 degrees.

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Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

q = 4p - 32

Step-by-step explanation:

P = 1/4q + 8

Making q the subject

P - 8 = 1/4q

Divide both sides by 1/4

q = (p - 8) ÷ 1/4

= (P - 8) × 4/1

= 4p - 32

q = 4p - 32

Answer:

-6x - 12

Step-by-step explanation:

-2 ( 3x + 6 )

= -6x - 12

Answer:

-18

Step-by-step explanation:

-2 multiplied by 3 is -6 so plus 6 would be -18

The dimension of the largest possible rectangular area that can be fenced for $4800 is 300 yard × 150 yard. The area, A of the rectangle as a function of its width, w is A = 300w - 1.5w².

Let the width of the rectangular area be "w" and its length be "l".

The cost of the east-west direction fencing is

2w * 12 = 24w

and the cost of the north-south direction fencing is

2l * 8 = 16l

Since the rancher wants to spend exactly $4800 on fencing, we can write an equation to represent the cost:

24w + 16l = 4800

Divide by 8

3w + 2l = 600

Therefore, l = 300 - 1.5w

The area of the rectangle is given by "lw", so

A = lw

Substituting the value of "l" from the first equation into this second equation:

A = (300 - 1.5w)w

A = 300w - 1.5w²

Thus, the area of the rectangle is a function of its width and can be expressed as Area = 300w - 1.5w².

To find value of w with maximum area, dA/ dw = 0

300 - 3w = 0

w = 100

Therefore, l = 300 - 1.5*100

l = 150

--The question is incomplete, answering to the question below--

"A rancher who wishes to fence off a rectangular area finds that the fencing in the east-west direction will require extra reinforcement due to strong prevailing winds. Because of this, the cost of fencing in the east-west direction will be $12 per (linear) yard, as opposed to a cost of $8 per yard for fencing in the north-south direction. Find the dimensions of the largest possible rectangular area that can be fenced for $4800, express the area of the rectangle as a function of its width."

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Answer:

Children = 150

Students = 98

Adults = 75

Step-by-step explanation:

C + S + A = 323

5C + 7S + 12A = 2336

A = 1/2C

C = 150

S = 98

A = 75

Jane has 6 - 14 - 12 = -20 boxes of beads left.

Jane initially had 6 boxes of beads.

She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.

To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.

First, let's calculate the total number of boxes used and given away:

Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister

Total boxes used and given away = 14 + 12

Total boxes used and given away = 26

Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:

Boxes left = Initial number of boxes - Total boxes used and given away

Boxes left = 6 - 26

Boxes left = -20

The result is -20, which implies that Jane has a deficit of 20 boxes of beads.

This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.

It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.

If the result were positive, it would represent the number of boxes remaining.

However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.

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Answer:

The maximum number is 15

Step-by-step explanation:

Hope this helps!

haVE A NICE DAY!!

Answer: 15 packages with 4 pens and 3 packs of paper each

Step-by-step explanation:

Answer:

a. 20

b. 32

c. 20.6

Step-by-step explanation:

Median is the middle number- so put the numbers in order from least to greatest, and find the middle number

8, 10, 10, 15, 15, 20, 20, 20, 25, 25, 25, 35, 40

Median is 20

the range is the difference between the largest and the smallest value- 40-8 is 32

Mean is the average- add all the values and divide by the total number of values (13)

268 minutes divided by 13 days

mean is about 20.6 minutes

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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Answer:

7.6n−17.4

Step-by-step explanation:

Hope this helps :)

After simplification we get  \(7.6n-17.4\)

Given expression is,

                      \((6.2n-8.3)+(-9.1+1.4n)\)

Now simplify,

                     \((6.2n-8.3)+(-9.1+1.4n)\\\\=6.2n-8.3-9.1+1.4n\\\\=6.2n+1.4n-8.3-9.1\\\\=7.6n-17.4\)

Hence, after simplification we get \(7.6n-17.4\)

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Based on the probability scale, the likelihood that flipping a coin would lead it it landing on heads or tails is 1.

When a coin is flipped, there are only two outcomes and these are heads or tails. The coin is land on either a heads or a tails.

This means that the probability of a coin flip ending with either a heads or a tails is a certain event.

The probability scale assigns a 1 to a certain event so the likelihood of a coin landing on heads or tails would have a probability scale of 1.

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Answer:

yes it does equal the same because both of them equal -5/84.

Step-by-step explanation:

Answer:

In the explanation

Step-by-step explanation:

a) Multiply the second equation by 2, subtract both lines. You get x = -3. Plug this in to get y, y = -2

b) Multiply the first equation by 2, add both lines. You get x = 8. Plug this in to get y, y = -3

c) Multiply the first equation by 5, subtract both lines. You get y = 1. Plug this in to get x, x = -3

d) Multiply the first equation by 2 and the second one by 3, add both lines. You get x = 1. Plug this in to get y, y = 4

Hope this helps!

Answer:

the triangles are not similar.