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Answer:

60'' × 52'' or a 79.4'' TV

Step-by-step explanation:

Leaving a room of 2 inches on all sides means we subtract 4 inches from the height and length to find the maximum dimensions of the TV.

With this, we get 60'' × 52''. To find the diagonal length of the TV, use the Pythagorean Theorem which simply states the length of the diagonal is equal to the square root of the sum of the squared dimensions.

\(\sqrt{a^2+b^2} =c\)

\(\sqrt{60^2+52^2}=79.4\)

Therefore your TV can have a maximum size of 79.4 inches.

Answer:

right i think

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation:

Answer:

  (f+g)(x) = 5x +3

Step-by-step explanation:

(f+g)(x) = f(x) +g(x)

  = (2x -6) +(3x +9)

  = 2x +3x -6 +9

(f+g)(x) = 5x +3

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

The correct sequence of steps to use the offset command is:

1. Select the original object to be offset

2. Select the offset command

3. Add the distance of the offset

4. Select a point anywhere on the screen where you want to offset the object

5. Select the object from the original object

I hope that helps!

Answer:

4.9

Step-by-step explanation:

1.73205080757 * 2* 1.41421356237 = 4.89897934254

Therefore , the solution of the given problem of unitary method  comes out to be  a 95% degree of certainty that the genuine average commute time falls within this range.

To complete the work, the well-known straightforward strategy, actual variables, and any essential components from the very first and specialised inquiries can all be utilised. In response, customers might be given another opportunity to sample the product. Otherwise, important advancements in our comprehension of algorithms will be lost.

Here,

We may use the following calculation to determine the 95% confidence interval for the actual average commute time:

=> CI = x' ± t*(s/√n)

Finding the essential t-value is the first step. We can apply a two-tailed t-test with a significance level of = 0.05/2 = 0.025 because we have 16 useable findings (sample size: n = 16) and

we require a 95% confidence interval. The crucial t-value, which we determine using a t-distribution table or calculator, is roughly 2.131.

=> CI = 21.4 ± 2.131*(1.8/√16)

=>  21.4 ± 0.95

The genuine average commute time has a 95% confidence interval of 20.45 to 22.35 minutes.

Based on our sample of 16 travel times, we can thus say with a 95% degree of certainty that the genuine average commute time falls within this range.

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Answer:

It will take 10 hours

Step-by-step explanation:

first you subtract 150 from 900 (900-150) to get 750. next you divide 750 by 75 since that is the rate the tickets are being sold (750÷75) which would equal to 10.

The mathematics SAT score representing the top 1% of all scores is approximately 780.

a. The random variable in this case is the mathematics SAT score.

b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.

The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),

where X is the value we're interested in, μ is the mean, and σ is the standard deviation.

In this case, X = 700, μ = 514, σ = 117.

Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).

To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.

The probability is approximately 0.0564 or 5.64%.

c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.

X = 400, μ = 514, and σ = 117.

The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).

Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.

d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.

Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),

and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).

We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.

Let's assume the probability is approximately 0.3967 or 39.67%.

e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.

This z-score is approximately 2.33.

We can then use the z-score formula to calculate the corresponding SAT score.

Rearranging the formula,

\(X = (z \times \sigma ) + \mu\),

where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.

Substituting the values,

\(X = (2.33 \times 117) + 514 = 779.61\).

Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.

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You pay the interest of 350 dollar on a $43,000 car loan with a fixed APR of 4.9% if the loan is for 5 years

The term annual percentage rate of charge, sometimes referred to as a nominal APR and sometimes referred to as an effective APR, refers to the interest rate for the entire year, rather than just a monthly fee/rate, as applied to a loan, mortgage loan, credit card, and so on. It is a finance charge calculated on an annual basis.

We are given that it took out a car loan for $43,000 car loan with a fixed APR of 4.9% if the loan is for 5 years

We know that r = 4.9/12/100 = 0.0049

p = 43,000

Putting the values in formula we get;

= (43,000x 0.0049 x 2.767)/1.767

= $350

Therefore, the interest will be 350 dollar.

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The given question is incomplete as the graph is missing.

But, considering a line graph, the following parameters can be represented on the x-axis and y-axis:

X-Axis                                                     Y-Axis

Year                                                         Population

Time                                                         Number of employees hired

Identical items purchased                      Total cost in dollars    

What does the blank observed line represent in each graph?  

The blank observed line represents the time. A line graph is basically used to connect the quantitative values over the different time intervals. The change in values over time is easier to estimate, by the help of the line graph. For example: in a graph showing the year on the x-axis and the population on the y-axis, the blank line represents the change in population over the years, the increase or decrease or the rate of change.  

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The most common number of tournaments played is 1, with four players having played in one tournament.

The range of the data set is 6, indicating that there is a wide variation in the number of tournaments played among the players on the team.

To construct a dot plot, you can draw a horizontal number line that includes all the values in the data set. Then, above each value on the number line, you can place a dot to represent the frequency of that value.

Using the data provided, the number line would include values from 0 to 6.

You would then place a dot above each value based on the frequency of that value.

For example, there are three values of 0 in the data set, so you would place three dots above the value 0 on the number line.

Based on the results of the survey, it appears that the majority of players on Chris's tennis team have played in two or fewer tournaments.

The most common number of tournaments played is 1, with four players having played in one tournament.

The range of the data set is 6, indicating that there is a wide variation in the number of tournaments played among the players on the team.

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Answer:

It takes 585 liters of natural oil

Step-by-step explanation:

Hope this helped and don't forget to add the numbers because we won't know the equation. :D

The simplest form of 816/10 is 408/5

Please mark my answers as brainlist....

Answer:

2376

Step-by-step explanation:

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

144

Step-by-step explanation:

You will multiply 4 tablespoons by the number of cups, that is how you get your answer.  ; )

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Applying the triangle sum theorem, the value of x is: 4.

When we add the three interior angles of a triangle together, the sum must be equal to 180 degrees according to the triangle sum theorem.

Given the triangle with the following interior angles, 35°, (22x - 3)°, and 60°. Therefore:

35 + (22x - 3) + 60 = 180 [triangle sum theorem]

Solve for x

35 + 22x - 3 + 60 = 180

Combine like terms

92 + 22x = 180

Subtract 92 from each side of the equation

92 + 22x - 92 = 180 - 92

22x = 88

Divide both sides by 22

22x/22 = 88/22

x = 4

Thus, applying the triangle sum theorem, the value of x is: 4.

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When we add 82.545 and 128.580 we get a total of 211.125, now the closest number to the answer is B. 211.125Addition of Numbers

Given Data

Apart from addition of numbers there are other mathematical operations we can perform on integer numbers like in our example above

they are

Total Number = 82.545 + 128.580Total Number = 211.125

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Answer:

B

Step-by-step explanation:

Took the test, have a good day.

Answer:

The small angle is 20

The large angel is 160

Step-by-step explanation:

x + y = 180

x = 8y                Substitute for x in the top equation

8y + y = 180      Combine

9y = 180            Divide by 9

y = 180/9

y = 20

x = 8y

x = 8 * 20

x = 160  

The given figure is a linear pair.

Use the linear pair conjecture to find the value of x as shown below:

So the value of x is 49.

To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Answer:

X^2+5x-50

Step-by-step explanation:

X^2-5x+10x-50

Answer:

X² - 5x + 10x - 50

Step-by-step explanation:

Use the FOIL method!

Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: y + 3 ≥ 2 and y + 3 < 6

To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:

y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:

2 ≤ y+3 and y + 3 < 6

Combine the two:

2 ≤ y+3 < 6

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We are given that the end-point of a line segment is (3, 2) and the middle point is (6, -2).

The formula for the middle point of a line segment is given by:

Where "h" and "k" are the middle points of the segment.

Now, we can set each of the coordinates equal. For the x-coordinates we have:

Where:

Now, we solve for the second end-point.

First, we multiply both sides by 2:

Now, we subtract x1 from both sides:

Now, we substitute both sides:

Now, we solve for the y-coordinate:

Now, we multiply both sides by 2 and subtract the first coordinate to both sides:

Now, we plug in the values:

Therefore, the coordinates of the other end-point is:

Answer:

3/4 and 1/6 are already reduced the farthest they can go.