I SUCK AT MATH. HELP!!!

The probability of selecting two orange markers is 2/6 * 1/5 = 1/15.

What is non-replacement event?

Components that have not been altered typically have content that is present within the document, whereas elements that have been replaced typically have content that is present outside of the document.

Given that there are 3 green, 1 purple, and 2 orange markers.

Total number of markers is (3 + 1 + 2) = 6.

The probability of an event is the ratio of the number of outcomes of a favorable event to the total number of outcomes.

The probability that the first marker is orange is 2/6 = 1/3.

After picking the number of markers that left is (6 - 1) = 5.

The number of orange marker that left is 2 - 1 = 1.

The probability that the second marker is orange is 1/5.

The probability of selecting two orange markers is (1/3) × ( 1/5) = 1/15.

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The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

1. 12x+19

2.11x+16

3.54

4.3x+5x+8

Step-by-step explanation:

I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me

The object will be at the height of 78.4 meters after 2 seconds after substituting to the equation.

Given that,

An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform.

The equation for the object's height s at time t seconds after launch is,

s(t) = -4.9t² + 19.6t + 58.8

where s is in meters.

We have to find the height of the object after 2 seconds.

When t = 2,

s = (-4.9 × 4) + (19.6 × 2) + 58.8

s = -19.6 + 39.2 + 58.8

s = 78.4 meters

Hence the height of the object after 2 seconds is 78.4 meters.

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Answer:

Step-by-step explanation:

y=-3/2x+5

Answer:

Step-by-step explanation:

Answer:

x = 22.5

Step-by-step explanation:

the segment from the vertex to the base is an angle bisector and divides the opposite side ( base) into segments that are proportional to the other two sides, that is

\(\frac{9}{x-9}\) = \(\frac{12}{18}\) = \(\frac{2}{3}\) ( cross- multiply )

2(x - 9) = 27

2x - 18 = 27 ( add 18 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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The sample size and significance level for which our test will have the greatest power α = 0.01, n = 500. Therefore, the correct option is E.

To maximize the power of a hypothesis test, we need to increase the sample size (n) and use a lower significance level (α). The power of a test is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. By increasing the sample size, we increase the sensitivity of the test, allowing us to detect smaller differences. By using a lower significance level, we reduce the chance of a Type I error (false positive), making it more likely that we'll correctly reject the null hypothesis.

In this case, option E (α = 0.01, n = 500) provides both the largest sample size and the lowest significance level, which would give the test the greatest power when the true proportion p is 70%.

Note: The question is incomplete. The complete question probably is: We will test the hypothesis that p = 60% versus p > 60%. we don't know it, but actually p is 70%. with which sample size and significance level will our test have the greatest power? A) The power will be the same so long as the true proportion p remains 70%. B) α = 0.05, n = 200 C) α = 0.01, n = 200 D) α = 0.05, n = 500 E) α = 0.01, n =500.

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The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

The slope of the line is 3 ---> m = 3

Step-by-step explanation:

To find the slope of the line, you can choose any two given points from the table. Let's do (1, 3) and (2, 6)

Slope formula:  

m = (y2 - y1) / (x2 - x1)

m = (6 - 3) / (2 - 1)

m = 3 / 1

m = 3

Answer:

m = 3

Step-by-step explanation:

3 is the slope.

Alloy #13 contains 7% gold, if means that if we need 2.7kg of this alloy, we will have to use a certain amount of gold. Multiply the percent of gold times the mass of alloy to find how much gold we need:

It means that we need 0.189kg of gold.

The alloy we have contains 21% of gold. That means that for every 100kg of alloy there are 21kg of gold, use this ratio to find the mass of alloy we need:

It means that we need 0.9kg of that alloy.

To find how much magic steel we need, we just have to substract this mass from the mass of Alloy #13:

It means that we need 1.8kg of magic steel.

The answer is: The dwarves need 1.8 kg of magic steel and 0.9 kg of their alloy in order to get 2.7 kg of Dragon Alloy #13.

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

Answer:

15 ft

Step-by-step explanation:

1 x 60 / 4

Answer:

a. 120 degrees

b. 2.0944 radians

Step-by-step explanation:

From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math

20 / 5min = 4 times

4 * 30 degrees = 120 degrees

We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula

degrees * \(\pi /180\) = radians

120 * \(\pi / 180\) = radians

2.0944 = radians

Answer:

C

Step-by-step explanation:

there is the ground line of about -5.5 to +5.5 = 11 ft.

then the 2 walls of 7 ft height = 14 ft.

that is already 25 ft.

the 2 roof sides are both a little bit longer than the corresponding ground line of 5.5ft.

so, estimated about 6ft per roof side. that adds 12 ft.

so, we are at about 37 ft.

and the closest answer is C. 36 ft.

in actual numbers a roof side is (using Pythagoras) :

roof side² = 2.5² + 5.5² = 6.25 + 30.25 = 36.5

roof side = 6.041522987... ft

so, the actual perimeter is

25 + 2×6.041522987... = 37.08304597... ft

Answer:

Step-by-step explanation:

The two square roots of 12.25 are:

(1) 3.5: 3.5 x 3.5 = 12.25

(2) -3.5: -3.5 x -3.5 = 12.25

Both of these numbers squared give a result of 12.25. However, -3.5 is the negative of 3.5, so it's important to specify which root is meant, depending on the context of the problem.

Answer:

C

Step-by-step explanation:

because it's less than or equal too

Answer:15/16 or 0.9375

Answer:

$9.25 per hour

Step-by-step explanation:

So we know that the question is asking for how much Carl makes per hour, but what we do know is that he makes $18.50 every 2 hours. Therefore, you want to divide $18.50 by 2 because you want that 2 to become a 1. Here is what it looks like as an equation:

Step 1) $18.50 = 2x

divide both sides by 2 to leave x on its own.

Step 2) $9.25 = x

Hope this helps! :)

Answer: 9.25 per hour

Have a good day!

Answer:

question>

Step-by-step explanation:

what ya need help with

in this case, we are assuming that the series \(cn xn\)and \(dn xn\) are both convergent, and thus their product series (cn dn)xn will also converge within a radius of 5.

The radius of convergence for the series \((cn dn)xn\) can be determined by considering the product of the radii of convergence for the individual series \(cn xn\)and \(dn xn\). In this case, the series \(cn xn\)has a radius of convergence of 5 and the series dn xn has a radius of convergence of 6.

To find the radius of convergence for the product series (cn dn)xn, we take the minimum of the two radii. In other words, we choose the smaller radius between 5 and 6.

Therefore, the radius of convergence for the series\((cn dn)xn\) is 5, since it is the smaller of the two radii.

It's important to note that the product of two convergent power series may not always converge.

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The number of spanning trees of a connected graph can be proven to be the product of the number of spanning trees of each of its blocks.

Here are the steps-

1. Consider a connected graph G with blocks B1, B2, ..., Bk. Each block is a maximal connected subgraph with no cut-vertex.

2. The number of spanning trees of G can be denoted as T(G), and the number of spanning trees of each block Bi can be denoted as T(Bi).

3. To prove the given statement, we need to show that\(T(G) = T(B1) * T(B2) * ... * T(Bk).\)

4. We can start by considering a single block B1. Since B1 is a maximal connected subgraph with no cut-vertex, it is a connected graph on its own.

5. The number of spanning trees of B1, T(B1), can be calculated using any method such as Kirchhoff's theorem or counting the number of spanning trees directly.

6. Now, consider the original graph G. We can remove block B1 from G, which leaves us with a graph G' that consists of the remaining blocks B2, B3, ..., Bk.

7. G' is still a connected graph, but it may have cut-vertices. However, the removal of B1 does not affect the connectivity between the other blocks, as each block is a maximal connected subgraph.

8. The number of spanning trees of G', denoted as T(G'), can be calculated using the same method as step 5.

9. Since G' is the remaining part of G after removing B1, the number of spanning trees of G can be expressed as T(G) = T(B1) * T(G').

10. We can repeat this process for the remaining blocks B2, B3, ..., Bk. For each block Bi, we remove it from G and calculate the number of spanning trees of the remaining graph.

11. By repeating steps 6-10 for all blocks, we can express the number of spanning trees of G as-

\(T(G) = T(B1) * T(G')\)

\(= T(B1) * T(B2) * T(G'')\)

= ...

\(= T(B1) * T(B2) * ... * T(Bk).\)

12. Therefore, we have proved that the number of spanning trees of a connected graph G is the product of the number of spanning trees of each of its blocks.

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The value of the rate of change when we put a glass of water at room temperature is 1/3.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one thing by the equal amount of change in another.

The connection defining how one quantity changes in response to the change in another quantity is given by the rate of change formula. The formula for calculating the rate of change from y coordinates to x coordinates is y/x = (y2 - y1)/. (x2 - x1 ).

Rate of change  = change in temperature / time

= 10-5/15

=5 / 15

= 1/3

Therefore, the Rate of change is 1/3.

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Complete question;

What is the value of the rate of change when we put a glass of water at room temperature in the freezer for 15 minutes, what is its temperature at 5 minutes and then at 10 minutes.

Answer: he reads 52 chapters in 2 hours.

Step-by-step explanation:

Since he reads 26 chapters per hour, multiply the number of chapters by the number of hours which is two.

26 * 2 = 52

he reads 52 chapters in 2 hours.

Answer:

52 chapters

Step-by-step explanation:

Because he reads 26 chapters in 1 hour and his rate is constant (never changing), multiply 26 by 2 to find how many chapter for 2 hours.

26 x 2 = 52

The projected misstatement of this sample would be $50,000, calculated as follows: ($4,000 / $5,000) x $10,000.

In a probability-proportional-to-size sample, each item's chance of being selected is proportional to its recorded amount, so larger accounts have a higher probability of being selected. In this case, the auditor selected an account with a recorded amount of $5,000, but found that it had an audited amount of $4,000.

To project the misstatement of this sample, the auditor needs to estimate the total misstatement in the population by multiplying the audited amount by the inverse of the sampling fraction, which is the sampling interval divided by the recorded amount of the selected item. So, the projected misstatement is ($4,000 / $5,000) x $10,000 = $8,000 x 6.25 = $50,000. This means that the auditor estimates the total misstatement in the population to be approximately $50,000 based on this sample.

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Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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