Round 9.19 to the nearest 25 cents

The area of the parallelogram with vertices (0,0), (5,8), (8,2), and (13,10) is 54 square units.

To find the area of a parallelogram, we need to use the formula A = base × height, where the base is one of the sides of the parallelogram and the height is the perpendicular distance between the base and the opposite side. Using the given vertices, we can determine two adjacent sides of the parallelogram: (0,0) to (5,8) and (5,8) to (8,2).

The length of the first side can be found using the distance formula: d = √((x2-x1)^2 + (y2-y1)^2). In this case, the length is d1 = √((5-0)^2 + (8-0)^2) = √(25 + 64) = √89. Similarly, the length of the second side is d2 = √((8-5)^2 + (2-8)^2) = √(9 + 36) = √45.

Now, we need to find the height of the parallelogram, which is the perpendicular distance between the base and the opposite side. The height can be found by calculating the vertical distance between the point (0,0) and the line passing through the points (5,8) and (8,2). Using the formula for the distance between a point and a line, the height is h = |(2-8)(0-5)-(8-5)(0-0)| / √((8-5)^2 + (2-8)^2) = 6/√45.

Finally, we can calculate the area of the parallelogram using the formula A = base × height. The base is √89 and the height is 6/√45. Thus, the area of the parallelogram is A = (√89) × (6/√45) = 54 square units.

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Answer:

Um, ya I don't know

Step-by-step explanation:

tan(2A) + sin(2A) = sin(2A)/cos(2A) + sin(2A)

• rewrite tan = sin/cos

… = 1/cos(2A) (sin(2A) + sin(2A) cos(2A))

• expand the functions of 2A using the double angle identities

… = 2/(2 cos²(A) - 1) (sin(A) cos(A) + sin(A) cos(A) (cos²(A) - sin²(A)))

• factor out sin(A) cos(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (1 + cos²(A) - sin²(A))

• simplify the last factor using the Pythagorean identity, 1 - sin²(A) = cos²(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (2 cos²(A))

• rearrange terms in the product

… = 2 sin(A) cos(A) (2 cos²(A))/(2 cos²(A) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(A)

… = 4 sin(A) cos(A) / (2 - 1/cos²(A))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(A) cos(A) / (2 - sec²(A))

• divide through again by cos²(A)

… = (4 sin(A)/cos(A)) / (2/cos²(A) - sec²(A)/cos²(A))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(A) / (2 sec²(A) - sec⁴(A))

• factor out sec²(A) in the denominator

… = 4 tan(A) / (sec²(A) (2 - sec²(A)))

• rewrite using the Pythagorean identity, sec²(A) = 1 + tan²(A)

… = 4 tan(A) / ((1 + tan²(A)) (2 - (1 + tan²(A))))

• simplify

… = 4 tan(A) / ((1 + tan²(A)) (1 - tan²(A)))

• condense the denominator as the difference of squares

… = 4 tan(A) / (1 - tan⁴(A))

(Note that some of these steps are optional or can be done simultaneously)

Step-by-step explanation:

As I do not have the work shown to calculate the number of ways to choose the passengers, I cannot identify the specific error made. However, I can provide some insight on how to approach this type of problem correctly.

When choosing 2 people from a group of 10, we can use combinations, which are denoted as "n choose k" and represented by the formula:

n choose k = n! / (k! * (n-k)!)

where n is the total number of items in the group and k is the number of items to be chosen.

In this case, we want to choose one passenger for first class and one passenger for coach. Therefore, we can separate the group of 10 into two subgroups: one subgroup with 1 person (for first class) and another subgroup with 9 people (for coach).

Using combinations, we can calculate the number of ways to choose 1 person from the subgroup of 1 and 1 person from the subgroup of 9:

(1 choose 1) * (9 choose 1) = 1 * 9 = 9

Therefore, there are 9 ways to choose the passengers to fill the seats.

Answer:

0.134%

Step-by-step explanation:

We have to

sd * P = [p * (1 - p) / n] ^ (1/2)

where p = 0.52 and n = 775, replacing:

sd * P = [0.52 * (1 - 0.52) / 775] ^ (1/2) = 0.0179

Now the probability would be:

P = 1 - P [(- 0.05) /0.0179 <z <(0.05) / 0.0179]

P = 1 - P (-2.79 <z <2.79)

P = 1 - P (z <2.79) - P (z <-2.79)

P = 1 - 0.9974 - 0.00126

P = 1 - 0.99614

P = 0.00134

Therefore the probability is 0.134%

Zoe walks from her house to a bus stop that is 460 yards away. The varying distances would depend on where Zoe begins her walk. if she starts closer to the bus stop, she would walk a shorter distance.

The varying distances would refer to the different distances Zoe might walk on different occasions. For example, she might take different routes or make detours, causing the actual distance she walks to vary.

However, without more information about Zoe's specific routes or circumstances, it is not possible to provide more detailed information about the varying distances.

However, if she starts closer to the bus stop, she would walk a shorter distance.

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The term "daily wage" refers to the amount of money a person earns for their work in one day. In Jodie's case, she earns $15 each day for delivering newspapers to 50 houses. This means that her daily wage is $15.

Similarly, the term "daily earnings" can also be used to describe the money a person makes in one day. In Jodie's case, her daily earnings would also be $15 since she earns that amount each day.

Both terms are commonly used to describe the income earned by individuals who work on a daily wage, such as freelancers, contractors, or hourly workers who are paid on a daily basis. The terms can also be used for individuals who have a fixed salary or hourly rate but work on a daily basis, such as delivery drivers or newspaper carriers like Jodie.

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(a) There are 512 subsets of a.

(b) 126 subsets of a contain exactly 5 elements.

(a) To find the number of subsets of a, we can use the formula \(2^n\), where n is the number of elements in the set. In this case, n = 9. So, the number of subsets of a is \(2^9\) = 512. This is because each element in the set can either be included or excluded from a subset, giving us a total of 2 choices for each element. Multiplying these choices for all 9 elements gives us the total number of possible subsets.
(b) To find the number of subsets of a that contain exactly 5 elements, we need to choose 5 elements out of the 9 available elements. This can be done using the combination formula, which is n choose k = n! / (k!(n-k)!), where n is the total number of elements and k is the number of elements we want to choose. So, in this case, the number of subsets of a that contain exactly 5 elements is 9 choose 5, which is 9! / (5!(9-5)!) = 126.

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\(=\sqrt{(\sqrt{2} )^{2}+(1+\sqrt{5} )(1+\sqrt{5} )} \\=\sqrt{2+1(1+\sqrt{5)}+\sqrt{5}(1+\sqrt{5}) } \\=\sqrt{2+1+\sqrt{5} +\sqrt{5} +\sqrt{5} *\sqrt{5} } \\=\sqrt{2+1+2\sqrt{5} +5} \\=\sqrt{2+1+5+2\sqrt{5} } \\=\sqrt{8+2\sqrt{5} }\)

GOODLUCK!!

Answer: To find the total amount of sugar required to make the banana pudding, we need to add the amount of sugar needed for the flour mixture to the amount of sugar needed for the meringue topping.

The recipe calls for 2/3 of a cup of sugar for the flour mixture and 1/4 of a cup of sugar for the meringue topping. To add these two fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12, so we can convert these fractions to twelfths:

2/3 = 8/12

1/4 = 3/12

Now we can add these two fractions:

8/12 + 3/12 = 11/12

So the total amount of sugar required to make the banana pudding is 11/12 of a cup.

Answer:

Its Simple All the angles in a triangle adds up to 180°

Step-by-step explanation:

∠A + ∠ B + ∠C = 180° NO matter what. You can also use this in inverse If you have two out of three angles then you can add the two angles you have and subtract the from 180 to get the measurement of the 3rd angle.

Hope this helps

Answer:

-8

Step-by-step explanation:

-1 - y = x

0 - -4 = 4

x / 4 = -2

x = 4 * -2

x = -8

Answer:

1/2

Step-by-step explanation:

hope it helps :)

Answer:

30 square feet

Step-by-step explanation:

Bottom rectangle: 2*5 = 10

Middle rectangle: 2*6 = 12

Top rectangle: 2*4 = 8

Total: 10 + 12 + 8 = 30

To estimate the proportion of all registered voters in the city who plan to vote for Guatafson with 95% confidence and a margin of error no greater than 0.03, a sample size of 1067 is required.

How to calculate the sample size: Sample size is calculated using the following formula:
n = (z^2 * p * (1 - p)) / E^2
Where: n is the required sample size. z is the confidence level (in this case, it is 1.96 for 95% confidence level)p is the estimated proportion of the population who plan to vote for Guatafson (unknown)E is the margin of error (in this case, it is 0.03)
Therefore,n = (1.96^2 * p * (1 - p)) / 0.03^2. For a conservative estimate, p is assumed to be 0.5, which gives the maximum sample size required. So,n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.03^2 = 1067.11
So, to estimate the proportion p of all registered voters in the city who plan to vote for Guatafson with 95% confidence and a margin of error no greater than 0.03, a sample size of 1067 is required.

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independent event-the occurrence of one event does not affect the probability of the occurrence of another event

compound event-two or more events considered

dependent event-the occurrence of one event affects the probability of the occurrence of another event

a) Compound Event refers to the combination of two or more events considered.

b) Independent Event occurs when one event does not affect the probability of the occurrence of another event.

c) Dependent Event describes a situation where the occurrence of one event affects the probability of the occurrence of another event

a) Compound Event: This refers to the combination of two or more events considered together. It involves analyzing the probability of multiple events occurring in a specific situation or experiment. For example, when rolling a pair of dice, the compound event might be the probability of getting a sum greater than 9.

b) Independent Event: This occurs when the outcome or occurrence of one event has no impact on the probability of the outcome or occurrence of another event. In other words, the events are unrelated and do not influence each other. For example, flipping a coin and rolling a die are independent events since the outcome of the coin flip does not affect the outcome of the die roll.

c) Dependent Event: This describes a situation where the occurrence of one event does affect the probability of the occurrence of another event. In dependent events, the outcome or happening of the first event has an impact on the likelihood of the second event. For instance, drawing cards from a deck without replacement is a dependent event since the probability of drawing a certain card changes after each card is drawn.

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Managers and other decision makers are urged to be creative during step 2, which involves the process of establishing numerous alternative goals.

Numerous indicates a big amount. Despite the fact that you only have two feet, the word "many" might be used to describe the limitless number of pairs of shoes you own. The terms choice, election, option, preference, and selection can also be used to describe alternatives.

The report contains many of errors. The book contains numerous examples of plagiarism. All around the country are his innumerable progeny.

The numerous awards that are hung on the walls serve as visual proof of his huge accomplishment. She has proven her worth on numerous occasions. Alternative and alternate are phrases that are essentially synonymous.

Both expressions, which date from the middle of the 16th century, provide possibilities in addition to those that are initially suggested: an alternative perspective or proposal.

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Answer:

Do it your self

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

4 * 3 = 12

Answer:

No, the pair is not a solution to the equation.

Step-by-step explanation:

For the pair to be a solution to the equation, x = -2 must lead to y = 8, o =r vice versa. This leads to being able to solve it two ways either through x or through y.

I'll solve it through x:

y = -2x - 1

with x = -2

y = -2 * - 2 - 1

y = 4 - 1

y = 3

Since y = 3, when x = -2 the pair (-2,8) is not a pair to the solution of the equation.

PS: You can double check by solving through y and you'll find x = -4.5

Answer:

You got it! B. x ≤ -7 or x ≥ 2

Step-by-step explanation:

In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.

The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.

Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.

So, the final answer is B. x ≤ -7 or x ≥ 2.

*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).

The z-score corresponding to an observation is -1.02

From the given data μ=335

σ=50

X=284

It is a way to compare the results from a test to a “normal” population.

If X is a random variable from a normal distribution with mean (μ) and standard deviation (σ), its Z-score may be calculated by subtracting mean from X and dividing the whole by standard deviation.

Where, x = test value

μ is mean and

σ is SD (Standard Deviation)

For the average of a sample from a population ‘n’, the mean is μ and the standard deviation is σ.

X=284 now we have to find Z score

so from the formula the Z score corresponding to observation X=284 is we have

Z=X- μ/σ

=\(\frac{284-335}{50}\)=-1.02

Therefore, the z-score is -1.02.

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Answer:

3060 US$

2,829.28 EU$ <—- I only added this because i live in EU.

Step-by-step explanation:

Answer:

$0

as 20 + 30 = 50 and he only had $50

The cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.

A car averages 32 mpg and gas costs $1.97 per gallon.

By unitary method for 866 miles, average would be,

= 866/32

= 27.0625 miles per gallon

and the cost to pay for the gas if this car made a trip of 866 miles would be,

= 27.0625 × $1.97

= $53.31

Therefore, the cost to pay for the gas if this car made a trip of 866 miles cost is $53.31.

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Answer:

\(\frac{27}{4}\) or \(6\frac{3}{4}\)

Step-by-step explanation:

6.75 = \(6\frac{3}{4}\) = \(\frac{27}{4}\)

Because 0.75 = \(\frac{3}{4}\)

I would appreciate it if you mark my answer as brainliest.

Answer:

6 3/4

Step-by-step explanation:

so first 1/4 equals to 0.25

so if 1/4 is 0.25 than 3/4 would be 0.75

6 in this equation represents 24/4

so it would be (24+3)/4

which is 27/4

after simplifying you would get 6 3/4

apply the absolute rule,

solve each inequality independently,

find the intersection of both solutions

Answer:

The solution to the inequality in interval notation is: