The graph of a function f is shown below.
Find f(-2).

a) Using the Law of Cosines for this triangle, we can write the equation:
d² = (36)² + (3s)² - 2(36)(3s)cos(60°)

b) The second ship must travel at approximately 4.24 miles per hour to be 42 miles apart from the first ship at noon.

(a) To write an equation that relates the speed s and the distance d between the two ships at noon using the Law of Cosines, we first need to determine the distance each ship has traveled by noon. Since they leave at 9 a.m. and we're interested in the distance at noon, they travel for 3 hours.

Ship 1:
Speed: 12 miles per hour
Distance traveled: 12 miles/hour * 3 hours = 36 miles

Ship 2:
Speed: s miles per hour
Distance traveled: s miles/hour * 3 hours = 3s miles

Now, we can form a triangle where Ship 1 travels 36 miles, Ship 2 travels 3s miles, and the distance between them (d) is the third side. The angle between Ship 1 and Ship 2 is 180° - (53° + 67°) = 60°.

Using the Law of Cosines for this triangle, we can write the equation:
d² = (36)² + (3s)² - 2(36)(3s)cos(60°)

(b) To find the speed s that the second ship must travel so that the ships are 42 miles apart at noon, we can plug d = 42 into our equation from part (a) and solve for s.

42² = (36)² + (3s)² - 2(36)(3s)cos(60°)

Solving for s, we get:
s ≈ 4.24 miles per hour (rounded to two decimal places)

So, the second ship must travel at approximately 4.24 miles per hour to be 42 miles apart from the first ship at noon.

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Answer:

u need to substitute (-8,5) in the equation because the line passses through that point

Answer:

0 = f(-3 ) , g(-14)

1 =  f(-6) , g(-13)

2=  f(-12) , g(-12)

Step-by-step explanation:

There is a lot to explain but if you want some. Fell free to aske

Answer:

x=-32/5 or -6.4 in decimal form

Step-by-step explanation:

3= 5x+35

-5x=32

x=-32/5

Answer:

y = x + 3

Step-by-step explanation:

In point slope form, the equation of line is,

\(y - b = m(x - a)\)

where a and b correspond to the x and y coordinates of the given point and m is the slope

Since the line is parallel to y = x+4, it has the same slope so m = 1 since the slope of y = x+4 is 1

and putting the values of the point (-1,2), we get,

y - 2 = x - (-1)

y-2 = x + 1

y = x + 3

Answer:

The surface area of the cuboid is 648 m^2

Step-by-step explanation:

What we have here is cuboidal in outlook

By using the formula for the surface area of a cuboid, we can get the surface area of the shape

mathematically, we have the surface area of a cuboid as follows;

2(lb + lh + bh)

where l is the length, b is the breadth (width) and h is the height

We can have the length as 9 m, the width as 9 m and the height as 13.5 m

Substituting these values, we have the surface area of the cuboid as;

A = 2(9(9) + 9(13.5) + 9(13.5))

A = 2(81 + 243)

A= 2(324)

A = 648 m^2

Answer:

$(x - 1425)/3

Step-by-step explanation:

Let total monthly budget be x

Amount spent on mortgage = $1425

Remaining balance after spending on mortgage = x - $1425

Amount spent on recreational activities = one-third of the balance

Expressing amount spent on recreational activities as an equation will give;

Amount spent on recreational activities = 1/3 of x - $1425

= 1/3 × ( x - $1425)

= ( x - $1425)/3

Hence the required equation is;

R = $(x - 1425)/3

R means recreational activities

We want to write an equation for the amount of money that she uses on recreational activities.

The equation is: r(x) = (1/3)*(x - $1,425).

We know that her total monthly budget is x dollars.

She spends $1,425 on her mortgage.

So the remaining budget is (x - $1,425).

We know that she uses one-third of it on recreational activities, then the equation we want is just:

r(x) = (1/3)*(x - $1,425).

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Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

In a normal distribution with a mean of 10 and standard deviation of 4, the median is not necessarily equal to 10. For a random variable with a mean of 131 and standard deviation of 24, the standard deviation of the sampling distribution of the means with a sample size of 64 is unlikely to be exactly 3.

In a normal distribution, the mean and median are typically equal. However, this is not always the case. The mean represents the average value of the distribution, while the median represents the middle value. When the distribution is perfectly symmetric, the mean and median coincide. However, when the distribution is skewed or has outliers, the mean and median can differ. Therefore, even though the normal distribution with a mean of 10 and standard deviation of 4 has a symmetric shape, we cannot conclude that the median is also 10 without further information.

The standard deviation of the sampling distribution of the means is given by the formula σ/√n, where σ is the standard deviation of the original distribution and n is the sample size. In the case of the random variable with a mean of 131 and standard deviation of 24, if the sample size is 64, the standard deviation of the sampling distribution of the means is unlikely to be exactly 3. The standard deviation of the sampling distribution decreases as the sample size increases, indicating that with a larger sample size, the means tend to cluster closer to the population mean. However, without specific data, it is not possible to determine the exact value of the standard deviation of the sampling distribution in this case.

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Answer: SSS and CMW=FPY

Step-by-step explanation:

The lines on each side of the triangle show which sides match. So it is just a case of matching sides with sides.

Answer:

30 minutes

Step-by-step explanation:

60 divided by 2 = 30

lable min

Answer:

b

Step-by-step explanation:

9 x 37 = 333

Answer:

$333

Step-by-step explanation:

As, the total hours Eleanor works = 37

And per hour he gets = $9

So the total wage her gets = $9 x 37

= $333

Answer: 7

Step-by-step explanation: First you subtract 5 from both sides to single out the -3x. Then you will have -3x = -21. You will then divide both sides by negative three because you want to single out the x. After that, you will have the answer of x = 7

Answer:

x = 7

Step-by-step explanation:

-3x+5=-16

    -5  -5

-3x=-21

-3x/3 = -21/-3

x=7

Answer:

Step-by-step explanation:

39.53 + 90 + x = 180

129.53 + x =180

x = 180 - 129.53

x = 50.47

The probability of that an incoming call to the service centre is 0.0219. And the probability that an incoming call is a request for purchasing more products is 0.135.

Probability of an event gives the possibility of an event which is never greater than 1 and the probability of impossible event is 0 and the probability of sure event is 1.

Probability = number of favourable cases/ total number of outcomes

a) The probability that an incoming call to the customer service = Probability of incoming calls to the service centre * probability of remaining number of calls in the centre = 0.73* 0.03 = 0.0219.

b) the probability that an incoming call is a request for purchasing more products = Probability of request of calls  in the service centre * probability of request of purchase. = 0.5 * 0.27 = 0.135.

Hence, the probability that incoming call to the service is 0.0219 and of the request of purchase is 0.135.

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The area of the rhombus is 832 square m if the length of the diagonals are 104 m and 16 m.

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have given a rhombus with diagonals.

The length of the long diagonal p = 2×52 = 104 m

The length of the short diagonal q = 2×8 = 16 m

Area = pq/2 = (104×16)/2 = 832 square m

Thus, the area of the rhombus is 832 square m if the length of the diagonals are 104 m and 16 m.

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The probability of rolling a single six-sided die and getting a 2, 3, 4, or 5 is:
4/6 or 2/3

To determine the probability of the given outcome or event using the theoretical method, follow these steps:

1. Identify the total number of possible outcomes when rolling a single six-sided die. In this case, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6).

2. Identify the number of successful outcomes, which are the outcomes that meet the criteria of the event. In this case, the successful outcomes are rolling a 2, 3, 4, or 5. There are 4 successful outcomes.

3. Calculate the probability by dividing the number of successful outcomes by the total number of possible outcomes. In this case, the probability is:

Probability = (Number of successful outcomes) / (Total number of possible outcomes)
Probability = 4/6

4. Simplify the fraction if possible. In this case, you can simplify 4/6 to 2/3.

The probability of rolling a single six-sided die and getting a 2, 3, 4, or 5 is 2/3.

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Answer:

3 kilograms...........

Answer:

27 ÷ 9 = 3

well , yeah , am i right ?

Answer:

0.9358

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Area = pi r^2

Step-by-step explanation:

Answer:

Area=pi x r^2

Step-by-step explanation:

We fail to reject the null hypothesis and do not have sufficient evidence to conclude that the mean cholesterol level is significantly different from 200 mg/dL.

we can conduct a one-sample t-test to test the hypothesis that the mean cholesterol level is greater than 200 mg/dL. The sample size is 50, and we have the recorded cholesterol measurements for these individuals. We will compare the sample mean to the hypothesized mean of 200 mg/dL.

Using a significance level of 0.05, we will perform the t-test to determine if there is sufficient evidence to reject the null hypothesis. If the test statistic falls in the critical region (the tail of the t-distribution), we will reject the null hypothesis and conclude that the mean cholesterol level is indeed higher than 200 mg/dL.

To perform the t-test, we need additional information such as the sample mean, sample standard deviation, and the degrees of freedom. With these details, we can calculate the test statistic and compare it to the critical value from the t-distribution.

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is evidence to support the claim that the mean cholesterol level is higher than 200 mg/dL. Conversely, if the test statistic is not greater than the critical value,

we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the mean cholesterol level is significantly different from 200 mg/dL.

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Answer:

-11

Step-by-step explanation:

6x - 1 = -67

6x = -67 + 1

6x = -66

x = -66 ÷ 6

x = -11

A. It is a set of questions used for gathering data.

A survey is a research method that involves the collection of data and information from a group of people using a set of questions.

It is a useful tool for obtaining feedback, opinions, and attitudes of a population or subpopulation about a particular issue or topic.

Surveys can be conducted through various means such as face-to-face, online, telephone, or paper-based.

The objective of a survey is to gain insight into the behaviors, beliefs, and attitudes of a group of people and to use the data collected to make inferences or draw conclusions about the larger population.

Surveys are a powerful research tool in various fields, including business, healthcare, social sciences, and marketing, among others.

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Answer:  It is 12/20 and 8/20 so heads has a higher chance

Step-by-step explanation:

Answer:

The experimental probability is given by the results of the experiment.

The coin landed heads up 12 out of 20 times. Divide the amount of times it landed heads up by the amount of times you flipped the coin

12 divided by 20=0.6

Multiply this decimal by 100 to get the percentage:

0.6 times 100=60

The experimental probability of the coin landing heads up is 12/20, or 3/5, or 60%.

The theoretical probability is given by the chances of landing the coin heads up.

There are two outcomes: the coin landing heads up, and the coin landing tails up. Out of two outcomes, you want one.

Theoretical probability is given by the amount of wanted possibilities over the total possibilities. You want 1 out of 2 to occur, so the theoretical probability is 1/2, or 50%.

Step-by-step explanation:

The authors of the article "A Distance-Based Diagnostic for Transdimensional Markov Chains" are Sisson, S. A. and Fan, Y. (2007). This article was published in the journal Statistics and Computing, volume 17, issue number 4, on pages 357-367.

The article proposes a diagnostic tool for detecting when transdimensional Markov chain Monte Carlo algorithms are not sampling the target distribution correctly. This tool is based on measuring the distance between the empirical distribution of the samples generated by the algorithm and the target distribution. The authors show that this distance measure can be used to identify situations where the algorithm is not mixing well and propose a threshold value for this distance that can be used to decide when to stop the algorithm.

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Mis disculpas por la respuesta incorrecta anterior. Entre los números 1 y 2 no hay ningún número natural. Los números naturales son aquellos que comienzan en 1 y se incrementan de uno en uno.

En este caso, el número 1 es el número natural más cercano a 2 sin excederlo. Sin embargo, entre 1 y 2 existe una infinita cantidad de números reales. Los números reales incluyen tanto a los números naturales como a los números decimales. En este caso, podemos encontrar varios números decimales entre 1 y 2. Algunos ejemplos de números decimales entre 1 y 2 incluyen: 1.1, 1.2, 1.5, 1.75, 1.9. Estos números representan una gama de valores decimales que se encuentran entre 1 y 2. A diferencia de los números naturales, los números decimales pueden tener una precisión y una variedad infinita de valores entre dos números enteros.

Por lo tanto, si estamos buscando un número específico entre 1 y 2, es necesario especificar si estamos hablando de números naturales o números reales, ya que el resultado puede ser diferente dependiendo del conjunto numérico al que nos refiramos.

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Answer:

Step-by-step explanation:

Triangle

Area = ½ × b × h

b = base

h = vertical height

Square

Area = a2

a = length of side

Rectangle

Area = w × h

w = width

h = height

Parallelogram

Area = b × h

b = base

h = vertical height

Trapezoid (US)

Trapezium (UK)

Area = ½(a+b) × h

h = vertical height

Circle

Area = π × r2

Circumference = 2 × π × r

r = radius

Ellipse

Area = πab

Sector

Area = ½ × r2 × θ

r = radius

θ = angle in radians

Answer:

.36

Step-by-step explanation:

36% -> 36/100 -> .36