Carmen is taking a road trip. After 25 miles, she reaches a stretch of highway where she can drive at a constant speed of 65 miles per hour. Carmen's friend in the passenger seat is trying to figure out the minimum number of hours Carmen will need to drive to reach over 350 total miles for the trip, assuming she keeps a steady pace.

Carmen's friend creates the inequality 65t + 25 > 350, where t is the driving time, in hours.

What statement is the most accurate?


Carmen can meet her goal in less than 5 hours.

Carmen can meet her goal in less than 4 hours.

Carmen needs more than 5 hours to meet her goal.

Carmen needs more than 6 hours to meet her goal.

You would need a total of 60 participants to have 15 participants in each experimental condition.

In a completely between-subjects experiment with two variables, if there are two levels of each independent variable and you want to have 15 participants in each experimental condition, you would need a total of 15 participants in each combination of levels.

Let's break it down step by step:

Number of levels per variable: 2

Number of participants per level: 15

Total number of conditions: 2 levels * 2 levels = 4

To calculate the total number of participants, you multiply the number of participants per condition by the total number of conditions:

Total participants = Number of participants per condition * Total number of conditions

Total participants = 15 * 4

Total participants = 60

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The probability that Y=1 given X=2 and Z=3 is 1/3.

Given that X, Y, and Z have joint distribution as shown below:

\(f(x, y, z) = \frac{xy^2z}{180}, x=1,2,3;y=1,2;z=1,2,3\)

We need to find \(P(Y=1|X=2, Z=3)\).

Therefore, we can use the conditional probability formula:

\(P(Y = 1 | X = 2, Z = 3) = \frac{P(Y = 1, X = 2, Z = 3)}{P(X = 2, Z = 3)}\)

Now we find the numerator and denominator individually:

Numerator: \(P(Y = 1, X = 2, Z = 3)\)

Here, we fix X=2, Z=3 in the given probability distribution and find the value of Y=1.

\(P(Y = 1, X = 2, Z = 3) = f(2, 1, 3) = \frac{2(1)^2(3)}{180} \\= \frac{1}{15}\)

Denominator: \(P(X = 2, Z = 3)\)

We fix Z=3 in the given probability distribution and sum over all values of Y to get the probability of X=2 and Z=3.

\(P(X = 2, Z = 3) = \sum_{y=1}^{3} f(2,y,3)P(X = 2, Z = 3) = f(2,1,3) + f(2,2,3) + f(2,3,3)\\P(X = 2, Z = 3) = \frac{2(1)^2(3)}{180} + \frac{2(2)^2(3)}{180} + \frac{2(3)^2(3)}{180}\\P(X = 2, Z = 3) = \frac{1}{5}\)

Substituting these values in the conditional probability formula, we get:

\(P(Y = 1 | X = 2, Z = 3) = \frac{P(Y = 1, X = 2, Z = 3)}{P(X = 2, Z = 3)}\\P(Y = 1 | X = 2, Z = 3) = \frac{\frac{1}{15}}{\frac{1}{5}}\\P(Y = 1 | X = 2, Z = 3) = \frac{1}{3}\)

Therefore, the probability that Y=1 given X=2 and Z=3 is 1/3.

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We need to calculate the 10% of 20. By definition, a% is:

Where a can be any positive number. In this case a = 10, then:

In mathematics, the word "of" is reserved for the product. Then 10% of 20 is just:

Solving this leads to 2.

Answer:

50 percent.

Step-by-step explanation:

10 of 20 as a fraction is

10/20

- divide top and bottom by 10 and this simplifies to

1/2.

To convert to a percentage we multiply by 100:

= 1/2 * 100

= 50%.

A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).

Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.

The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.

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Check the picture below.

Answer:

No

Step-by-step explanation:

No, because one of the x-value is used more than once, this graph is not a function.

If this has helped please mark as brainliest

Answer:

1.626 and then theres a lot more numbers

Step-by-step explanation:

Answer:

1.62614012e-7

Step-by-step explanation:

this is the answer to 7/9 to the 8th power

Answer:2x^6 - 3x^5 - 13x^4 + 20x^3 + 12x^2 - 16x

Step-by-step explanation:

Greetings from Brasil...

Let's apply the distributive property....

(X³ - 3X² + 4) (2X³ + 3X² - 4X)

2X⁶ + 3X⁵ - 4X⁴ - 6X⁵ - 9X⁴ + 12X³ + 8X³ + 12X² - 16X

Answer:

642x115=73830

Step-by-step explanation:

does that help?

Answer:

73,830 is your final answer

Step-by-step explanation:

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer: A

Step-by-step explanation: -----------------

Answer:

C. (0.3452, ∞)

Step-by-step explanation:

The interval of t when the population of algae will be greater than 500 is (3.452, ∞)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

The amount of algae in a bloom, P, can be modeled by the equation \(P = t^4 + 6t^3+ 7t^2 + 8t\) where t is measured in weeks.

We need to find the find the interval of t will the population of algae be greater than 500

So, we get an inequality,

\(\Rightarrow P > 500\\\\\Rightarrow t^4 + 6t^3+ 7t^2 + 8t > 500\\\\\Rightarrow t (t^3 + 6 t^2 + 7 t + 8) > 500\\\\\Rightarrow t [t [t (t + 6) + 7] + 8] > 500\\\\\Rightarrow t > 3.45~~and ~~t < -6.759\\\\\)

But time is measured in weeks.

So, t will not have the values from the interval (−∞, −6.759)

Therefore, the interval of t when the population of algae will be greater than 500 is (3.452, ∞)

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Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%.

To determine Marty's marginal tax rate, we need to refer to the tax brackets for the given year. However, as my knowledge is based on information up until September 2021, I can provide you with the tax brackets for that year. Please note that tax laws may change, so it is always best to consult the current tax regulations or a tax professional for accurate information.

For the 2021 tax year, the marginal tax rates for individuals are as follows:

10% on taxable income up to $9,950

12% on taxable income between $9,951 and $40,525

22% on taxable income between $40,526 and $86,375

24% on taxable income between $86,376 and $164,925

32% on taxable income between $164,926 and $209,425

35% on taxable income between $209,426 and $523,600

37% on taxable income over $523,600

Since Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%. However, please note that tax rates can vary based on changes in tax laws and regulations, so it's essential to consult the current tax laws or a tax professional for the most accurate information.

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Step-by-step explanation:

Rice = 5¾ kg = 23/4kg = 23/4*1000 g = 5750g

Flour = 5725g

Rice > flour

Answer:

lol its rice

Step-by-step explanation:

The side length that could be a right triangle are

Applying Pythagoras theorem, for each side length we solve for the longest side in each case assuming the longest side is x

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

checking for 4 7 8

let x be the required distance

x² = 4² + 7²

x² = 16 + 49

x² =  65

x = √65

this is not a right triangle

checking for 6 8 10

let x be the required distance

x² = 6² + 8²

x² = 36 + 64

x² =  100

x = √100

x = 10

this is a right triangle

checking for 5 12 13

let x be the required distance

x² = 5² + 12²

x² = 25 + 144

x² =  169

x = √169

x = 13

this is a right triangle

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Answer:

option 3

Step-by-step explanation:

hope this helps :)

The area of the logo is given as 139 cm

In order to get the area of the shape, i would have to get the area of the triangles first

area of a triangle = 1/2 b * h

base = 9 / 2 = 4.5

h = 6

area = 1/2 * 9 * 6

= 27

Area of 2 triangle = 2 x 27

= 58

The are aof the square = a * a

= 9 * 9

= 81

The total area of the logo is given as 81 + 58

= 139 cm

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Answer:

f(x) = −2/5x + 1

Step-by-step explanation:

when putting an equation in function notation first you must make sure the equation is in slope-intercept form and then you must rewrite the equation but instead of putting y you will replace it with f(x), or g(x), whichever one you are given directions to put it as.

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the correct option is A) because cheese has a higher specific heat.

When exposed to air, a slice of pizza cools down, and cheese takes longer to cool down than bread, which has the same exposed area. This is due to the cheese's high specific heat. Specific heat refers to the heat needed to alter the temperature of a substance by one degree Celsius (C). The specific heat of a substance is directly proportional to the amount of heat it absorbs. The specific heat of bread and cheese varies, and cheese has a higher specific heat than bread.

As a result, cheese absorbs more heat than bread and releases it more slowly, resulting in a longer cooling time. Therefore, the answer is A) because cheese has a higher specific heat.

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Answer:

C) 170 centimeters

Step-by-step explanation:

The missing graph-diagram to the question is attached in the image below.

Using the line of best fit, the predicted height for someone with a first metacarpal bone that has a length of 4.45 centimeters can be determined as follows:

The length of 4.5 centimeters appears on the horizontal x-axis; This implies that 4.45 is a half distance between the undotted 4.4 centimeters and the dotted 4.5 centimeters. Similarly, on the vertical y-axis, 170 is directly equivalent to the dotted point of 4.5 centimeters. Thus, the predicted height with a 4.45 centimeters length is approximately 170 centimeters by using the line of best fit.

Answer:

2 11/12 cups of flour

Step-by-step explanation:

well 2 recipes is 2 1/2 cups of flour

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12

so 2 11/12 cups of flour

The probability that the next spin lands on red is

The table of values is given as:

Red = 4

Blue = 3

Green = 20

Yellow = 14

Purple = 16

The probability that the next spin lands on red is:

P(Red) = Red/Total

This gives

P(Red) = 4/(4+3+20+14+16)

Evaluate

P(Red) = 7%

Hence, the probability that the next spin lands on red is

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Answer:8%

Step-by-step explanation:

The probability of rolling a 7 with a pair of dice is 1/6. This is because there are six possible combinations that add up to 7.

Each of these combinations has an equal probability of occurring, so the probability of rolling a 7 is 1/6. (1+6, 2+5, 3+4, 4+3, 5+2, 6+1).

To explain further, when two dice are rolled, there are 36 possible outcomes, each with an equal probability of occurring. Of the 36 outcomes, 6 of them will result in the total number of dots appearing on top being 7. Since 6 out of 36 outcomes result in a 7, the probability of rolling a 7 is 6/36 or 1/6. This means that if two dice are rolled 36 times, there is a 1 in 6 chance that the total number of dots appearing on top will be 7 at least once.

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Answer:

121 tickets

Step-by-step explanation:

16x7+9=121

I hope this helps

Answer:

1. f= 7 1/2

2. f= 9/10

3. f= -2 1/2

Two hypothesis tests need to be conducted based on the given data. In the first test, the null hypothesis is that at least one-half of all finance majors rate a sense of humor as very important. In the second test, the null hypothesis is that the population proportions of accounting and finance majors who rate a sense of humor as very important are the same. Both tests are conducted at the 5% significance level.

(a) To test the null hypothesis that at least one-half of all finance majors rate a sense of humor as very important, we can use the one-sample proportion test. We compare the observed proportion (81/178) to the hypothesized proportion of 0.5. Under the null hypothesis, we assume the two proportions are equal. The test can be performed using the binomial distribution and applying the appropriate critical value or p-value cutoff at the 5% significance level.
(b) To test the null hypothesis that the population proportions of accounting and finance majors who rate a sense of humor as very important are the same, we can use the two-sample proportion test. We compare the proportions of the two samples (75/148 for accounting majors and 81/178 for finance majors). The test assesses whether there is a significant difference in the proportions. We use a two-sided alternative hypothesis as we are testing for a difference in either direction.
In both tests, the exact calculations of the test statistics and p-values would require the sample sizes, degrees of freedom, and specific formulas. Without these values, we cannot provide the exact results. However, based on the given information, the tests can be conducted using appropriate statistical methods and cutoffs at the 5% significance level to draw conclusions regarding the null hypotheses.
In conclusion, hypothesis tests can be conducted to assess the importance of a sense of humor among finance and accounting majors. The specific calculations and conclusions depend on the sample sizes and the results of the tests conducted at the 5% significance level.

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The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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Answer:

a) bert is reading hamlet

b)andrea darla and carla are reading king lear

Step-by-step explanation:

Answer:

C- Yes, because it pases the vertical line test.

Step-by-step explanation:

It passes through one point exactly.