a normal distribution is observed from the number of insurance claims per month for a certain insurance company. if the mean is 20 claims and the standard deviation is 3 claims, what is the probability that in a randomly selected month, the insurance company's claims are less than 26 claims?

Answer:

15

Step-by-step explanation:

Using the distance formula will help you with this!

Answer:

ANSWER

g=f

−1

f(g(x))=x

Differentiate w.r.t.x

f

′

(g(x))⋅g

′

(x)=1

∴

1+(g(x))

4

1

⋅g

′

(x)=1

g

′

(x)=1+[g(x)]

4

The list with the students that were assigned to the study, considering the simple random sampling, is given as follows:

D) 56, 50, 07, 16, 60.

Simple random sampling is a sampling technique in which all possible options are placed on a selection list, and then some of them are selected.

In this problem, the number of possible options is given as follows:

90.

As there are 90 students.

Then the numbers will be sorted, and the numbers will assume values from 1 to 99. If the number has a value greater than 90, than the number is disconsidered and another one will be used to select the student.

Splitting the list of numbers two by two, the selected numbers are given as follows:

Hence option D is correct.

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Answer:

C

Step-by-step explanation:

supplementary angles sum to 180° , then

3x + 15 + 60 = 180 , that is

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Answer:

A. (x,y) - (2x,2y)

Step-by-step explanation:

Answer:  2y = 3x

Reason:

The equation x:y = 2:3 is the same as saying x/y = 2/3

Cross multiply to get 3x = 2y which flips to 2y = 3x

Answer:

10 units and 157.84 units

Step-by-step explanation:

4

substitute t = 1 into the equation

h = - 16(1)² + 6 = - 16 + 6 = - 10

the value is negative since the ball travels down

the ball has travelled 10 units after 1 second

5

substitute t = 3.2 into the equation

h = - 16(3.2)² + 6 = - 16(10.24) + 6 = - 163.84 + 6 = - 157.84

the well is 157.84 units deep

Answer:

x = 30, -30

Step-by-step explanation:

Answer:

115 degrees

Step-by-step explanation:

The line RQ meets at 115 degrees (Look at the bottom numbers)

It's not 65 degrees because the angle is obtuse.

So the total surface area of the composite figure is 138 square inches.

To find the surface area of the composite figure, we need to add the areas of all the faces of the figure.

The square has an area of 6 * 6 = 36 square inches.

The green rectangular prism has a base with an area of 6 * 3 = 18 square inches. It also has four lateral faces, each with an area of 3 * 7 = 21 square inches. The total area of the lateral faces is 4 * 21 = 84 square inches.

So the total surface area of the composite figure is 36 + 18 + 84 = 138 square inches.

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Answer:

it will be 56

Step-by-step explanation:

maney because I am 9nyears old

Answer:

it will be 56

Step-by-step explanation:

We are given that an egg weighs 2.5 ounces and that there are 16 ounces in a pound. We also know that the rice apparatus is directly proportional to the egg apparatus. The rice apparatus needs to be the same weight and size as the egg apparatus.

To find out how much bigger the rice apparatus needs to be, we need to determine the weight of the rice apparatus. First, we calculate the weight of the bag of rice by multiplying the weight of a pound (16 ounces) by the number of pounds (65 pounds). This gives us 1040 ounces (16 * 65).

Next, we need to determine the ratio between the egg apparatus and the rice apparatus. Since they are directly proportional, we can set up a proportion using their weights:

(egg weight) / (rice weight) = (egg size) / (rice size)

Substituting the values we have, we get:

2.5 / (rice weight) = 2.5 / (1040)

Now, we can solve for the weight of the rice apparatus:

(rice weight) = (2.5 * 1040) / 2.5

Simplifying, we find:

(rice weight) = 1040

Therefore, the weight of the rice apparatus needs to be the same as the weight of the bag of rice, which is 1040 ounces.

In terms of size, since the weight of the rice apparatus is directly proportional to the egg apparatus, we can conclude that the rice apparatus needs to be the same size as the egg apparatus.

In summary, the rice apparatus needs to be the same weight and size as the egg apparatus.

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Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

Given

Explanation

The volume of the pyramid is given as;

Answer: 18 cubic centimeters

The slope of the line passing through the points (0, 30) and (8, 18) is -1.5.

Given is a graph of a line passing through the points (0, 30) and (8, 18).

To find the slope of the line passing through two points, you can use the formula:

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

Let's use the points (0, 30) and (8, 18) to calculate the slope:

x1 = 0

y1 = 30

x2 = 8

y2 = 18

slope = (18 - 30) / (8 - 0)

= -12 / 8

= -1.5

Therefore, the slope of the line passing through the points (0, 30) and (8, 18) is -1.5.

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Based on the information provided, it seems unlikely that the tri-tip roast was thawing at a safe rate. Thawing on the counter for three hours, with the temperature only reaching 46°, may not be sufficient for safe thawing.

Thawing food safely is crucial to prevent bacterial growth and maintain food quality. The ideal methods for thawing meat are in the refrigerator or using cold water. The counter method can be risky as it allows the meat to remain in the "danger zone" (40°F to 140°F) for an extended period.

Given that the tri-tip roast was initially at a temperature of 35°F and the house temperature was 75°F, it is unlikely that the roast was thawing at a safe rate. After one hour, the temperature only increased by 11 degrees, which is relatively slow. After another two hours, the temperature reached 46°F, indicating a slow thawing process.

To ensure food safety, it is recommended to thaw meat in the refrigerator, allowing for gradual thawing while keeping the meat at a safe temperature. Alternatively, the cold water thawing method can be used, where the meat is submerged in a leak-proof plastic bag and placed in cold water, with the water changed every 30 minutes.

Thawing meat on the counter for an extended period, especially when the temperature remains relatively low, increases the risk of bacterial growth and potential foodborne illnesses. It is important to prioritize food safety by following recommended thawing methods to ensure the roast thaws safely and maintains its quality.

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Question : I took a tri-tip roast out of the freezer at 9 AM to thaw so I could barbecue it later. After I had been in the on the counter for an hour its temperature was 35°. After another two hours it was still very cold and the temperature was 46°. By the way I keep my house a consistent 75°. Was the thawing been at a safe rate?

The body travels a finite distance of (v0/k) before coming to a stop.

To show that the velocity and position of the body are given by v(t) = v0e^-kt and x(t) = x0 + (v0/k)(1-e^-kt), we can solve the differential equation dv/dt = -kv with the initial conditions v(0) = v0 and x(0) = x0.

a) Solving the differential equation dv/dt = -kv, we have:

dv/v = -k dt

Integrating both sides, we get:

ln|v| = -kt + C1

where C1 is the constant of integration. Applying the initial condition v(0) = v0, we get:

C1 = ln|v0|

Therefore, we have:

ln|v| = -kt + ln|v0|

Solving for v, we get:

v(t) = v0e^-kt

Next, we can integrate the velocity expression to obtain the position:

dx/dt = v(t) = v0e^-kt

Integrating both sides, we get:

x(t) = - (v0/k) e^-kt + C2

where C2 is the constant of integration. Applying the initial condition x(0) = x0, we get:

C2 = x0 + (v0/k)

Therefore, we have:

x(t) = x0 + (v0/k)(1-e^-kt)

b) Since the velocity approaches zero as t approaches infinity, the body will eventually come to a stop. The distance traveled by the body can be found by taking the limit as t approaches infinity of the position function:

lim x(t) as t->infinity = x0 + (v0/k)

Therefore, the body travels a finite distance of (v0/k) before coming to a stop.

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Answer:

A histogram would be the most appropriate graph to display the distribution of scores and identify clusters and gaps.

Step-by-step explanation:

Therefore, the weight of B is 31 kg.

Let's solve the problem step by step.

1.Let's assign variables to the weights of the three individuals:

Weight of A = a

Weight of B = b

Weight of C = c

2.We are given that the average weight of A, B, and C is 45 kg:

(a + b + c) / 3 = 45

3.We are also given that the average of A and B is 40 kg:

(a + b) / 2 = 40

4.Additionally, we are given that the average of B and C is 43 kg:

(b + c) / 2 = 43

5.From equation 3, we can solve for a + b:

a + b = 2 * 40

a + b = 80

6.Substituting this value into equation 1:

(80 + c) / 3 = 45

7.Solving equation 6 for c:

80 + c = 3 * 45

80 + c = 135

c = 135 - 80

c = 55

8.Substituting the value of c into equation 4:

(b + 55) / 2 = 43

9.Solving equation 8 for b:

b + 55 = 2 * 43

b + 55 = 86

b = 86 - 55

b = 31

Therefore, the weight of B is 31 kg.

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Answer:

$38.47

Step-by-step explanation:

You have to subtract $85.99 and $47.52.  The answer is $38.47..

I hope this helps!!

Answer:

nt

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

What is 15% of 60 is nothing but What equals 15% of 60 or What = 15% of 60

The number that would complete the square is 1.

We know that the method of completing the square would involve a quadratic equation that does have the general form;

ax^2 + bx + c =0

We have to note that the number that is going to complete the square is the number that is going to correspond to 1/2(b).

This implies that we have to look at the b term in the equation and we b = 2.

Thus;

1/2(2) = 1

Hence, we have found that the square can be completed by 1.

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Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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The parameters of the sinusoidal function, y = -3·cos(π·(π - 2)) - 4, obtained from the equation of the function are;

(a) a) 2

b) 4 units down

c) 2 units left

(b) d) Please find attached the graph of the function showing the period created with MS Excel.

A sinusoidal function is a periodic sine or cosine based function.

The specified sinusoidal function can be presented as follows;

y = -3·cos(π·(x - 2)) - 4

The general form of a sinusoidal function is; y = A·cos(B·(x + C)) + D

(a) a) The period of a sinusoidal function is T = 2·π/|B|

A comparison with the general form of a sinusoidal function indicates;

A = 3, B = π, C = -2, D = -4

B = π

Therefore; T = 2·π/π = 2

The period, T = 2

b) The vertical shift of the function, D = -4

c) The horizontal shift of the function, C = -2

(b) d) Please find attached the graph of the function created with MS Excel

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Answer:

It took Stephanie 4 hours

Step-by-step explanation:

2 1/3 + 1 2/3 = ?

To make it easier, let's add them differently

2 + 1 = 3

1/3 + 2/3 = 1

1 + 3 = 4 hours

Or turn them into mixed numbers:

7/3 + 5/3 = 12/3 = 4 hours

So our final answer is 4 hours.

Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

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Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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Given:

Initial height of tree = \(7\dfrac{11}{12}\) foot

He cut \(1\dfrac{2}{3}\) off of tree.

To find:

The remaining height of tree after cut.

Solution:

Initial height of tree is

\(7\dfrac{11}{12}=\dfrac{7\times 12+11}{12}\)

\(7\dfrac{11}{12}=\dfrac{84+11}{12}\)

\(7\dfrac{11}{12}=\dfrac{95}{12}\)

He cut \(1\dfrac{2}{3}\) off of tree.

\(1\dfrac{2}{3}=\dfrac{1\times 3+2}{3}\)

\(1\dfrac{2}{3}=\dfrac{3+2}{3}\)

\(1\dfrac{2}{3}=\dfrac{5}{3}\)

Now,

Remaining height = Initial height - cut

\(=\dfrac{95}{12}-\dfrac{5}{3}\)

\(=\dfrac{95-20}{12}\)

\(=\dfrac{75}{12}\)

\(=\dfrac{25}{4}\)

\(=\dfrac{6\times 4+1}{4}\)

\(=6\dfrac{1}{4}\)

Therefore, the remaining height of the tree is \(6\dfrac{1}{4}\) foot.