for this and the following 3 questions, calculate the t-statistic with the following information: x1 =62, x2 = 60, n1 = 10, n2 = 10, s1 = 2.45, s2 = 3.16. what are the degrees of freedom?

Answer:

D

Step-by-step explanation:

Intersecting, but not perpendicular lines

Answer:d

D is the answer

Answer:

Step-by-step explanation:

To find the optimal ticket price that will maximize revenue, we need to determine the price point where the increase in revenue from selling each ticket at a higher price is greater than the decrease in revenue from selling fewer tickets due to the higher price.

Let's start by calculating the current revenue generated at the current ticket price of $6.00:

Current revenue = 1800 x $6.00 = $10,800

Now, we need to determine the effect of increasing ticket prices by $0.50 on the number of tickets sold:

For each $0.50 increase in ticket price, 100 fewer people will attend. So, for a $0.50 increase, the new ticket price will be $6.50, and the number of attendees will be:

1800 - 100 = 1700

For a $1.00 increase, the new ticket price will be $7.00, and the number of attendees will be:

1700 - 100 = 1600

And so on.

We can create a table to calculate the revenue at different price points:

Ticket Price Number of Tickets Sold Revenue

$6.00                 1800                                $10,800

$6.50                 1700                                $11,050

$7.00                 1600                          $11,200

$7.50                 1500                                $11,250

$8.00                  1400                          $11,200

$8.50                  1300                          $11,050

$9.00                  1200                          $10,800

As we can see from the table, the optimal ticket price that will maximize revenue is $7.50, where the revenue is $11,250. Beyond this point, the decrease in attendance outweighs the increase in ticket price, resulting in a decrease in revenue.

Therefore, the owner should increase the ticket price to $7.50 to maximize revenue.

Since that is a right angle, it equals 90 degrees.

90 - 24 = 66

66 degrees...

I hope this helps..

The XYZ corporation will receive $1500000 for all the shares sold.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given: Cost of 1 share = $15

To find: Money received on selling 100000 shares.

Finding:

By unitary method,

Money received on selling 1 share = $15

Money received on selling 100000 shares = 15(100000) = $1500000

Hence, The XYZ corporation will receive $1500000 for all the shares sold.

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It will take 5 years to recoup the extra cost of buying the Prius.

The number of years it will take to recoup the extra cost of buying the Prius will depend on several factors such as the price of the car, the cost of gas, and the average number of miles driven per year. However, according to a study by Consumer Reports, the Prius has an average payback period of about 4 years compared to a similar gas-powered vehicle. This means that if the extra cost of buying the Prius is $4,000, for example, it would take about 4 years to recoup that cost through fuel savings. Keep in mind that this is just an estimate and individual results may vary.
To determine the number of years it will take to recoup the extra cost of buying the Prius, follow these steps:

1. Identify the extra cost of buying the Prius compared to a similar non-hybrid vehicle.
2. Determine the annual fuel cost savings of the Prius compared to the non-hybrid vehicle.
3. Divide the extra cost by the annual fuel cost savings.

For example, let's say the extra cost of buying the Prius is $5,000 and the annual fuel cost savings is $1,000.

Number of years to recoup extra cost = Extra cost / Annual fuel cost savings
Number of years = $5,000 / $1,000
Number of years = 5.00

So, it will take 5.00 years to recoup the extra cost of buying the Prius.

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Answer:

Have you tried word online?

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

25 x (20/100) = 5

25 - 5 = 20

Answer:

answer is A

hope it helps

When conducting a bivariate correlational study, it is important to use a random sample to ensure that the results are generalizable to the larger population.

However, if a random sample is not used, it does not necessarily mean that the association should be automatically rejected. There are several reasons why a random sample may not have been used in a correlational study. For example, the researcher may have had limited access to a specific population or may have chosen to use a convenience sample for practical reasons. In these cases, it is important to consider the potential limitations and biases in the sample. Additionally, it is possible to adjust for some of these limitations through statistical techniques such as weighting or stratification. These techniques can help to ensure that the results are more representative of the larger population, even if a random sample was not used. Overall, while a random sample is preferred in bivariate correlational studies, it is not always feasible or practical. As such, it is important to carefully consider the limitations of the sample and to use appropriate statistical techniques to account for any potential biases. Ultimately, the validity of the association should be evaluated based on the strength of the evidence and the quality of the study design, rather than solely on the use of a random sample.

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Answer:

irrational

Step-by-step explanation:

15 plus 2 is 16 and 16 squared is irrational because nothing times itself is 16

Step-by-step explanation:

It is not because the square root of 15 is an irrational number(I'm not typing the decimal, it's too big) and added by 2 is still irrational.

Hope it helps!

There is approximately a 3.84% chance that a randomly selected adult has an IQ greater than 144.4.

To find the probability that a randomly selected adult has an IQ greater than 144.4, assuming their scores are normally distributed with a mean of 102.7 and a standard deviation of 23.5, we will use the z-score formula.

First, calculate the z-score:
z = (X - μ) / σ
where X is the IQ score (144.4), μ is the mean (102.7), and σ is the standard deviation (23.5).

z = (144.4 - 102.7) / 23.5
z ≈ 1.77

Now, use a z-table to find the probability corresponding to this z-score. The z-table value for a z-score of 1.77 is approximately 0.9616. Since we want the probability of an IQ greater than 144.4, we will find the area to the right of this z-score.

Probability = 1 - 0.9616 = 0.0384

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The probability distribution of X is 0.5, 0.25, 0.25, and 0.125. Mean value ∑ X × P (X) = 1.875. Standard Deviation of X = 1.0533

a) For a fair coin,

P(H) = P(T) = 0.5

Outcome  X                            Probability

T                  1                                  0.5

HT              2                       0.5×0.5 = 0.25

HHT          3                       0.5×0.5×0.5 = 0.125

HHHT          4                           0.5×0.5×0.5×0.5 = 0.0625

HHHH          4                           0.5×0.5×0.5×0.5 = 0.0625

So, probability distribution of X is

X P(X)

1 0.5

2 0.25

3 0.125

4 0.0625+0.0625 = 0.125

b)

X     P(X)    X×P(X)         X2×P(X)

1     0.5     0.5          0.5

2     0.25      0.5               1

3     0.125    0.375         1.125

4     0.125       0.5            2

sum 1     E(X) = 1.87

c) Variance = E(X²) - E(X)²

= 4.625 - 1.875²

= 1.1094

Standard Deviation of X = √ Variance

= √1.1094

= 1.0533

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let's move like the crab, backwards, let's get hmmm EF first

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)

\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)

Make sure your calculator is in Degree mode.

Answer:

To find the value of x such that the quadrilateral is a parallelogram, you need to solve for x in the equation 2x+1 = 3x - 1. This gives x = 1. The perimeter of the parallelogram is then 2x + x² - 5 + x² - 7 + 3x - 1 = 4x² - 13. Substituting x = 1 gives the perimeter as 4 - 13 = -9.

The probability that the Yankees would score fewer than 5 runs when they lose the game is 0.52.

Probability:

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. That an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

The probability that the Yankees will win a game P(win) = 0.59

The probability that the Yankees will score 5 or more runs in a game is:

                    P(s >5) = 0.52

The probability that the Yankees lose and score fewer than 5 runs is:

                    P(s< 5) = 0.45

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

   = 0.59 + 0.45 - 0.52

   = 0.52

Thus, the probability that the Yankees would score fewer than 5 runs when they lose the game is 0.52.

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Answer: B Angle Side Angle

Step-by-step explanation:

Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.

The correct option is Ray 2.When light passes from one medium to another of different optical densities, it bends from its initial path, this bending is called refraction.

The amount of refraction is determined by the refractive index of the media. The refractive index of the media is the ratio of the speed of light in the medium to the speed of light in a vacuum. The refracted ray for ray 1 is Ray 2.The direction of light in air or vacuum will change when it enters water.

The angle of incidence of the light ray and the angle of refraction of the light ray will determine how much the direction will change. Because light moves from a medium with a lower index of refraction (air) to one with a higher index of refraction (water), the ray is bent away from the normal as it enters the water.

The incident ray 1 in air, the refracted ray 2 in water, and the normal line, are in the same plane. The angle of incidence and angle of refraction are related through Snell's law, which states that n1 sin θ1 = n2 sin θ2, where n1 and n2 are the indices of refraction in the incident and refracted media.

The refracted ray 2 will be bent towards the normal. Thus, the correct option is Ray 2.

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Answer:

Exact Form:

√93

Decimal Form:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets verify one-by-one:

a)

b)

c)

d)

As we see in three cases we get rational number but the smallest one is 3, this indicates the answer is option b.

Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

Answer:

17 Feet

Step-by-step explanation:

Personally, I multiply 4 by 5 to get the full figure, then remove the 3 feet taken from the figure.

Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.

Buying two tacos individually:

Buying the value meal with three tacos:

To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:

The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).

Answer:

20३८३८३८३३८३८३८३८९२२

Step-by-step explanation:

82282922929293

Answer:

the length of its equal sides = 26 cm

Step-by-step explanation:

A = b*h/2

h = 2*A/b

h = *240/20

h = 26 cm

hypotenuse = \(\sqrt{10^2 + 24^2} = 26 cm\)

Since the calculated test statistic (2.836) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that more than half of internet users have posted photos or videos online.

To test the hypothesis that more than half of internet users have posted photos or videos online, we can use a one-sample proportion test. Let p be the true proportion of internet users who have posted photos or videos online. The null and alternative hypotheses are:

H0: p <= 0.5

Ha: p > 0.5

We will use a significance level of 0.05.

Using the given information, we have:

n = 855

x = (56/100) * 855

= 479.6 (rounded to nearest whole number, 480)

The sample proportion is:

p-hat = x/n

= 480/855

= 0.561

The test statistic is:

z = (p-hat - p0) / √(p0 * (1 - p0) / n)

where p0 is the null proportion under the null hypothesis. We will use p0 = 0.5.

z = (0.561 - 0.5) / √(0.5 * (1 - 0.5) / 855)

= 2.836

Using a standard normal distribution table or calculator, the critical value for a one-tailed test at a 0.05 level of significance is approximately 1.645.

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The solutions to the equation are t = 0.36 and t = -1.2. Since t is the time in hours, we can't have a negative time, so the time when the bacteria count reaches 591 is **t = 0.36 hours**.

The composite function N(T(t)) is the function that takes the time t as input and returns the number of bacteria in the food product at that time.

The time when the bacteria count reaches 591:

To find the time when the bacteria count reaches 591, we can set the composite function N(T(t)) to 591 and solve for t.

N(T(t)) = 591

=> 25(5t + 1.8)² - 87(5t + 1.8) + 61.3 = 591

=> 625t² + 225t - 263 = 0

=> (25t - 9)(25t + 3) = 0

```

The solutions to the equation are t = 0.36 and t = -1.2. Since t is the time in hours, we can't have a negative time, so the time when the bacteria count reaches 591 is **t = 0.36 hours**.

The composite function N(T(t)) is found by first evaluating the function T(t) and then evaluating the function N(x) at the output of T(t). In this case, the function T(t) takes the time t as input and returns the temperature of the food product at that time. The function N(x) takes the temperature x as input and returns the number of bacteria in the food product at that temperature.

To find the time when the bacteria count reaches 591, we can set the composite function N(T(t)) to 591 and solve for t. This gives us the equation 625t² + 225t - 263 = 0. We can solve this equation to find the solutions t = 0.36 and t = -1.2. Since t is the time in hours, we can't have a negative time, so the time when the bacteria count reaches 591 is **t = 0.36 hours**.

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The required inequality is \(p\geq2\)

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by \(> , < , \geq, \leq\)

A one degree inequation is known as linear inequation.

On the day of the test, the teacher instructed the students to take out no less than 2 pencils from their backpacks.

Let the number of pencils be p

So the required inequality is \(p\geq2\)

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Answer:

d;lkjhgfdsalkjhgfdsoiuytrmnbvkjhgfuytfduytretuioiuytrdnmnbv

Step-by-step explanation:poiuytrewkjhgfd9uyt

Using the Central Limit Theorem, the state that the sample mean would most likely be within $80 of $2,600 is given by:

c. Equally likely because σ = $800 for both states.

It states that the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem, we have that for both states, \(\sigma = 800, n = 100\), hence they have the same standard error, being equally as likely to be within $80 of $2,600, meaning that option C is correct.

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