The actual answer is 144. I have the proof right here:

Answer:

Composite

Step-by-step explanation:

To determine if this is prime or composite, we must solve the expression.

200^2-399

40,000-399=39,601

39,601 is divisible by 199. Therefore, it is a composite number.

Answer:

11:37

Step-by-step explanation:

11 thin-crust pizzas

11+24=37 total pizzas

=>11:37

Given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ).

Given the expression:
sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ))
Let's simplify this expression step by step:
1. First, recognize that cos(θ) * cos(θ) can be written as cos²(θ). So, the expression becomes:
sin(θ) + cos²(θ) * (1 - cos(θ))
2. Next, we'll distribute cos²(θ) to both terms inside the parentheses:
sin(θ) + cos²(θ) - cos³(θ)
At this point, we have simplified the expression as much as possible. The final expression is:
sin(θ) + cos²(θ) - cos³(θ)
In summary, given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ). Remember that this is a general expression and its specific value depends on the angle θ.

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Answer:

n = 24

Step-by-step explanation:

(4/12)*72 = n

24 = n

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

Answer:

8%

percent increase

Step-by-step explanation:

Last month:

3500 unlimited

4700 limited

total: 8200

This month:

unlimited 3500 × 1.55 = 5425

limited 4700 × 0.75 = 3525

total: 8950

Part A:

8950/8200 = 1.0848484

% change = 8%

Part B:

The total number went up from 8200 to 8950, so it's an increase.

B. percent increase

The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

\(V = \pi \int\limits^a_b {f(x)^2} \, dx\)

To find the area, integrate around that area. We're revolving around the x-axis so the area will be a circle;

V = ∫A(x)dx =  ∫(πr²)dr

Then we subtract them from each others.

∫(πr₂² - πr₁²)dr

Now substitute the value and integrate;

∫(π(2)² - π(2x)²)dr

∫(4π - 4πx²)dr

4π∫(1 - x²)dr

Now integrate from 0 to 1 since that's where our boundary is.

V = 4π∫(1 - x²)dr = 8π/3

Therefore, The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

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Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

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a. The linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

b. If the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

a. Let's first find the slope of the line using the formula:

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

where (x1, y1) = (117, 73) and (x2, y2) = (180, 80).

slope = (80 - 73) / (180 - 117)

= 7 / 63

= 1/9

Now, let's use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Using the point (117, 73):

T - 73 = (1/9)(N - 117)

Simplifying the equation:

T - 73 = (1/9)N - (1/9)117

T - 73 = (1/9)N - 13

Now, let's rearrange the equation to solve for T:

T = (1/9)N - 13 + 73

T = (1/9)N + 60

Therefore, the linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

(b) If the crickets are chirping at 155 chirps per minute, we can estimate the temperature T using the linear equation we derived.

T(N) = (1/9)N + 60

Substituting N = 155:

T(155) = (1/9)(155) + 60

T(155) = 17.22 + 60

T(155) ≈ 77.22

Therefore, if the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

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Answer: Slope - intercept form y = 1/7x - 1

We tested the hypothesis that the mean human body temperature is different from 98.6°F using a random sample of 50 people. We created a randomization distribution assuming that the null hypothesis is true and obtained a p-value of 0.021. Since the p-value is less than 0.05, we rejected the null hypothesis and concluded that there is evidence to suggest that the mean body temperature is different from 98.6°F.

The null hypothesis is that the mean body temperature is equal to 98.6°F: H0: μ = 98.6°F. The alternative hypothesis is that the mean body temperature is different from 98.6°F: Ha: μ ≠ 98.6°F.

A randomization distribution assumes that the null hypothesis is true. In this case, it means assuming that the mean body temperature is 98.6°F.

To use the data in the sample as much as possible while also forcing the null hypothesis to be true, we can simulate the null hypothesis by creating random samples of the same size from the population assuming that the true mean is 98.6°F. We can then calculate the mean temperature for each simulated sample, and use these values to create a randomization distribution.

Using StatKey to create a randomization distribution, we enter the sample data and select the "Randomization Test for One Mean" option. We set the null hypothesis to 98.6°F and choose the "Two-Tailed" alternative hypothesis since we are testing if the mean body temperature is different from 98.6°F. We then run the test and obtain a p-value of 0.021, which is less than the conventional significance level of 0.05.

Since the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to suggest that the mean body temperature is different from 98.6°F.

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Answer:

Step-by-step explanation:

Therefore,

NOTE: n can't be equal to a negative number

hence n=20

When we calculate the value of tan82 then we have to round off to hu ndreth place.

The farm for sale measures 1120 acres.  

How many acres are equivalent to one square mile?

1 square mile= 640 acres.

To convert square miles to acres, we need to know that there are 640 acres in one square mile.

Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:

1 and 3/4 square miles = 1.75 square miles  

Number of acres = 1.75 square miles * 640 acres/square mile

Number of acres = 1120 acres

Therefore, the farm for sale measures 1120 acres.

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Answer:

Step-by-step explanation:

a+b=-14

a=-14-b

ab=33, using a from above makes this become

(-14-b)b=33

-14b-b^2=33

b^2+14b+33=0

(b+11)(b+3)=0

So the numbers are -3 and -11

Answer:

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability that Shruti succeeds at any given free-throw is 80%, percent.

This means that \(p = 0.8\)

Sample of 12 free throws:

This means that \(n = 12\)

Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

\(P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835\)

\(P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062\)

\(P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687\)

\(P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584\)

0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

Answer:0.8

Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes

Answer:

3.4

Step-by-step explanation:

Answer:

Electricity makes work easier.

We do not have to walk to a river to get water or wash our clothes and we can cook foods by switching a button.

Step-by-step explanation:

Answer:

hi how are you fineeeeee

Answer:

\(h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)\)

The value of n given the form of the function is (b) positive odd number

The form of the graph is given as:

f(x) = a(x + k)^1/n + c

For the given graph, we have the following features:

If n is an even number, the function would be undefined because the even root of a number is undefined

However, the function is defined if n is an odd number,

Hence, the value of n given the form of the function is (b) positive odd number

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Answer:

B. positive odd integer

Step-by-step explanation:

answer: 15

there is 15 left.

The estimate for the total number of bees in her hive is 190 bees

She catches 90 of the bees on Monday and she puts mark on each bees and return them to her hive.

On Tuesday she catches 120 of the bees. She find out that 20 of the bees has been marked.

This means only 100 bees have not been marked on Tuesday.

Therefore, the total number of bee in her hives is as follows:

total number = 90 + (120 - 20)

total number = 90 + 100

total number = 190 bees

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

12/20= 6/10= 3/5

Step-by-step explanation:

take 4 times 3= 12

5 times 4= 20

and then simplify (at top)

Answer:

.6 because .8x.75 is that.

Answer:

2.34

Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:

Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:

After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)

The argument states that since all paintings by Matisse are beautiful and the museum has a painting by Matisse, the museum must have a beautiful painting.

The argument presented is an example of a logical fallacy known as affirming the consequent. It follows the form of a logical fallacy known as the fallacy of the converse. The fallacy of the converse occurs when one assumes that if the consequent (in this case, having a painting by Matisse) is true, then the antecedent (in this case, the painting being beautiful) must also be true. However, this is not a valid logical inference.

While it is true that the argument assumes that all paintings by Matisse are beautiful, it does not necessarily follow that the museum's painting by Matisse is also beautiful. There may be exceptions to the generalization that all Matisse paintings are beautiful. Additionally, beauty is subjective, and what one person finds beautiful, another may not.

Therefore, based on the argument presented, we cannot conclude with certainty that the museum has a beautiful painting solely because it possesses a painting by Matisse. The argument relies on a logical fallacy and does not provide sufficient evidence to support the claim that the museum's painting is beautiful.

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Answer:

Step-by-step explanation:

Why did many Americans consider César Chávez a hero in the '60s and '70s?

The polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x

The attached graph represents the missing part of the question

From the attached graph, the x-intercepts of the graph are:

x1 = -3

x2 = 0

x3 = 2

The equation of the graph is then calculated as:

f(x) = (x - x1)(x - x2)(x - x3)

This gives

f(x) = (x + 3)(x - 0)(x - 2)

Expand

f(x) = x(x² + 3x - 2x - 6)

Evaluate

f(x) = x(x² + x - 6)

Expand

f(x) = x³ + x² - 6x

Hence, the polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x

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