solve pls brainliest

Answer:

x = 25° and y = 102°

Step-by-step explanation:

Given the transversal, line O, and that lines n || l :

m < (6x - 48)° and m < y° are vertically opposite angles, and are congruent.  

To find the value of y, we can set up the following equation:  

     180° = 6x - 48° + 78°  

    180° = 6x - 30°  

Subtract 30° on both sides oft the equation:

    180°- 30°  =  6x + 30° - 30°  

             150° =  6x

Divide both sides by 6 to solve for x:  

    \(\frac{150}{6} = \frac{6x}{6}\)

    25° = x

If you plug in the value of x in m < (6x - 48)°, you'll get:

    m < (6x - 48)° = [6(25) - 48]° = 150° -  48  =  102°

Since m < (6x - 48)° = 102° and,

y° ≅ m < (6x - 48)°, then:

y° = 102°

The final answers are: x = 25° and y = 102°

You can verify whether this is correct by adding the values of m < (6x - 48)° and 78°, and you should get a sum of 180°.  

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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The probability of a student completing the final examination in less than 65 minutes is 13.45%.

The time it takes to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. This can be expressed mathematically as X~N(77, 12).

The probability of a student completing the final examination in less than 65 minutes can be calculated by using the Z-score formula:

Z = (x - μ) / σ

Where x = 65 minutes, μ = 77 minutes, and σ = 12 minutes.

Plugging these values into the formula, we get:

Z = (65 - 77) / 12 = -1.17

Using a Z-score table, we can find the probability of a student completing the final examination in less than 65 minutes, which is equal to 0.1345, or 13.45%. Therefore, the probability of a student completing the final examination in less than 65 minutes is 13.45%.

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

No, the line does not pass (0,0).

No, the line does not pass (0,0)

Brainliest Appreciated!

Answer:

I hope this helps!

Using these traces, we can sketch the surface as an ellipsoid in three dimensions centered at the origin, with semi-major axis of length 6 along the z-axis, semi-major axis of length 3 along the y-axis, and semi-major axis of length 2 along the x-axis.

To sketch the surface 9x^2 + 4y^2 + z^2 = 36 using traces, we can fix values of x, y, and z and plot the resulting curves. When we fix x = 0, we get 4y^2 + z^2 = 36, which is an ellipse in the yz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 3 along the y-axis.

When we fix y = 0, we get 9x^2 + z^2 = 36, which is also an ellipse in the xz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 2 along the x-axis. When we fix z = 0, we get 9x^2 + 4y^2 = 36, which is a horizontal ellipse in the xy-plane centered at the origin with semi-major axis of length 2 along the x-axis and semi-minor axis of length 3 along the y-axis.

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Answer:

The answer is probably 10.50

(sorry if im wrong)

Step-by-step explanation:

Answer: The answer would be A: 10.50

Step-by-step explanation: 6.25 x 4 since it’s 25% this will get you 25 you then take 42% of 25 and get 10.50

Answer:

The answer is A

Step-by-step explanation:

If you divided by 150/30 = 5.

So the answer is A. y=5x;5 feet.

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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It will take the car 8 hours to travel 360 miles.  Nathan will take 3 hours to bike the 24-mile trail, while Sydney will take 2 hours.

To calculate the time it takes for the car to travel 360 miles at an average speed of 45 miles per hour, you can use the formula:

Time = Distance / Speed

Time = 360 miles / 45 miles per hour

Time = 8 hours

Therefore, it will take the car 8 hours to travel 360 miles.

For Nathan and Sydney biking on a 24-mile trail, you can calculate their individual times using the same formula:

Time = Distance / Speed

Nathan's time = 24 miles / 8 miles per hour = 3 hours

Sydney's time = 24 miles / 12 miles per hour = 2 hours

Therefore, Nathan will take 3 hours to bike the 24-mile trail, while Sydney will take 2 hours.

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Answer:

(-1/2,-5/2)

Step-by-step explanation:

x-y = 2

x+y = -3

---------------

Through Elimination, we can just add the system of equations. The y cancels out and gives us the single equation for x:

2x = -1

x = -1/2

Substitute -1/2 for x in either equation and you get:

(-1/2) + y = -3     Solve for y

y = -5/2

--------------

Answer:

46.5

Step-by-step explanation:

\( \frac{1}{2} \times 15.5 \times 6 = 46.5\)

Answer:

B

Step-by-step explanation:

it's (m+n-1) √p

hope this helps

Answer:

surface area of real-world figure (the image) = 325 cm²

Step-by-step explanation:

The scale-up factor is 2.5.  The given pre-image side is 2 cm, the image side is 5, therefore 5/2 = 2.5.

Area is always two dimensions multiplied together (length x width, height x width, length x height). These dimensions are both being multiplied by the same scale factor, 2.5, therefore the surface area is multiplied by the scale factor squared

2.5² = 6.25

52 cm² x 2.5² = 52 cm² x 6.25 = 325 cm²

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

b:18 cups

Step-by-step explanation:

It is because 5.5 quarts of water is equal to 22 cups of water because 1 quart is equal to 4 cups.

now when you take 4 cups away you have 18 cups left

Answer: x = 6

Step-by-step explanation:

2x = 7 + 5

x = 12/2 = 6

Answer:

u<19

Step-by-step explanation:

70 > 3u+13

you subtract 13 to both sides

which will give you 57

then you divide 3 and 57

leaving you of with 19

so your answer will be u<19

Answer:

y = 3/4x - 13

Step-by-step explanation:

As we already know the slope, we just need to find the y-intercept.

y = 3/4x +b

-7 = 3/4(8) + b

-7 = 6 + b

-13 = b

y = 3/4x - 13

3.91 can be written as 391/100 as an improper fraction and 3 91/100 as a mixed fraction.

An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).

It is called "improper" because its value is greater than or equal to 1, which means it can be simplified to a mixed number.

Here we have

The decimal number is 3.91

To write the given number as an improper fraction

Multiply and divide the given by 100

=> \(3.91 \times \frac{100}{100}\) = \(\frac{391}{100}\)  

To write as a mixed fraction divide 391 by 100

On dividing 391 by 100 we get 3 with the remainder of 91

=> 391/100 = 3 91/100

Therefore,

3.91 can be written as 391/100 as an improper fraction and 3 91/100 as a mixed fraction.

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a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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the percent sales tax can be calculated as : sales tax percent =  sales tax  *  100  = $ 527.56 * 100  = 52756

the percent sales tax =  sales tax = list price * sales tax rate

                                                       = $22 * $23. 98

                                                       = $ 527.56

sales tax percent =  sales tax  *  100

                            = $ 527.56 * 100

                            = 52756

Sales tax is a kind of tax that is charged at the time a thing or administration is sold. The purchaser pays the tax to you, and you transmit the tax to the applicable government tax collection body. The taxes that are gathered by every office are then shipped off different divisions at the nearby, region, and state levels to guarantee their continuous activities and capabilities.

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Answer:

Step-by-step explanation:

That comes out to

(1/5)n - 4 = 16

One fifth of a number less 4 is 16

Assuming that the account earns the interest as simple interest, to calculate the amount Mrs. Martin will have after 18 months, you have to use the following formula:

Where

A is the accrued amount

P is the principal amount

r is the interest rate expressed as a decimal number

t is the time expressed as years

She deposited $2300, this is the principal amount.

The interest rate of the account is 1.5%, to express it as a decimal value you have to divide it by 100

To express the time in "years" you have to divide the given months by 12

Now that all values are expressed in their corresponding units, you can calculate the final balance in her account as:

After 18 months she will have $2351.75 in her account.

Answer:

Compound interest allows your savings to grow faster over time. In an ... Note that high-interest savings accounts earn money faster than accounts with lower yields. ... When you invest in the stock market, you don't earn a set interest rate.

Step-by-step explanation:

Answer:

38/50 or 19/25

Step-by-step explanation:

One way could be that you add all the marbles together to get your total marbles; 12 + 10 + 15 + 13 = 50.

Then you add all the colours expect red; 10 + 15 + 13 = 38.

Which would give me 38/50; which simplifed would be 19/25

The probability that the student makes it to the second class before it starts is very close to 0.

To find the probability that the student makes it to the second class before it starts, we can use the concept of linear combinations of random variables and the properties of normal distributions.

Let's define the random variable X as the total time it takes for the student to transition from the end of the first class to the start of the second class. Since X is a linear combination of independent normally distributed random variables (X1, X2, X3), we can use their means and variances to calculate the mean and variance of X.

The mean of X is the sum of the means of X1, X2, and X3:

μX = μ1 + μ2 + μ3 = 9:02 + 9:15 + 10 = 28:17 minutes.

The variance of X is the sum of the variances of X1, X2, and X3:

σX^2 = σ1^2 + σ2^2 + σ3^2 = (2.5)^2 + (3)^2 + (2.5)^2 = 15.25 minutes^2.

Now, we need to calculate the probability that X is less than or equal to 0, meaning the student arrives before the second lecture starts. Since X follows a normal distribution, we can standardize the variable and calculate the probability using the standard normal distribution table.

Z = (0 - μX) / σX = (0 - 28:17) / √15.25 ≈ -9.43.

Using the standard normal distribution table or a calculator, we can find the probability corresponding to Z = -9.43. The probability is essentially 0, as the value is significantly far in the left tail of the standard normal distribution.

Therefore, the probability that the student makes it to the second class before it starts is very close to 0.

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Answer:

A. 25%

Step-by-step explanation: