Suppose that an insurance company has 190 policy holders, and pays out $38000 in claims in a given year. The company also spends $1750 for marketing, $6000 for labor, and wants to earn a 20% profit. Given we do not have risk groups, what would a fair price be for annual premiums for the policy holders to pay?

Answer:

The fraction of Andy's siblings that are girls is 9/12.

Step-by-step explanation:

Andy has a total of 12 siblings.

It is given in the question that 3 out of the 12 siblings are brothers (boys).

Therefore Andy has 9 sisters (girls) [12-3=9]

now, the fraction of girl siblings are represented by 9/12.

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Slope = -11

Y-intercept = (0, 199)

What is a linear function?

A function whose equation is of the form y = ax + b, where a and b are constants, a does not equal zero, and x is any real number, and whose graph is a straight line.

Here, we have

Given: A man has a starting weight of 199 pounds and is losing 11 pounds each month. Model his weight with a linear function.

Linear function: y = mx+b

m = a number of months and W = man's weight.

Man's starting weight = 199 pounds.

w = -m(11) + b = 199

w = -0(11) + b = 199

b = 199

w = -11m + 199

Slope = -11

Y-intercept = (0, 199)

Hence, Slope = -11

Y-intercept = (0, 199)

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The value x in the formula represents the value of each observation of the data-set.

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Answer:

(4, 1), (6, 2), (5, -7)

Step-by-step explanation:

If Katie started with $40, the remaining balance after purchasing the supplies is $20.

To determine how much money Katie had left after purchasing the supplies, we'll consider the fraction "1/5" for the storybook and "3/10" for the calculator.

1: Calculate the amount spent on the storybook.

Katie spent 1/5 of her initial $40 on the storybook. To find this amount, multiply the fraction by the total amount:

(1/5) x $40 = $8

2: Calculate the amount spent on the calculator.

Katie spent 3/10 of her initial $40 on the calculator. To find this amount, multiply the fraction by the total amount:

(3/10) x $40 = $12

3: Add the amounts spent on both the storybook and calculator.

$8 (storybook) + $12 (calculator) = $20

4: Subtract the total amount spent from Katie's initial amount of money to find the remaining balance.

$40 (initial amount) - $20 (total spent) = $20

After purchasing the supplies, Katie had $20 left.

Note: The question is incomplete. The complete question probably is: Katie started with $40. He spent 1/5 of the money on a storybook and 3/10 on a calculator. how much money did she have left after purchases the supplies.

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The maximum height of the coin is; B: 45 ft

We are given the formula to model the path of the coin's height as;

h(t) = -16t² + 40t + 20

Maximum height will occur at t = -b/2a from axis of symmetry of a parabola. Thus;

t = -40/(2 * -16)

t = 1.25 s

Thus;

h_max = -16(1.25²) + 40(1.25 + 20

h_max = 45 feet

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Answer:

) Cluster sample.

Step-by-step explanation:

Here are the options

A) Multistage sample.

B) Stratified sample.

C) Cluster sample.

D) Simple random sample.

E) Convenience sample.

A cluster sample is when a population is divided into groups known as clusters. Samples are then randomly selected from this sample. It is a method of probability sampling used for large populations.

The airline first divided the population of travellers by months travelled. this is the cluster. From within the cluster, 10 samples are then chosen

Advantages of a cluster sample

Disadvantages of a cluster sample

The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.

We have,

To determine the number of valid solutions for the equation

(10x + 25) / (3x + 12) = 5x / (x + 4), we need to solve the equation and check if there are any values of x that satisfy the equation while not causing any division by zero.

Let's solve the equation step by step:

(10x + 25) / (3x + 12) = 5x / (x + 4)

Cross-multiply to eliminate the fractions:

(10x + 25)(x + 4) = (3x + 12)(5x)

Expand both sides:

10x² + 40x + 25x + 100 = 15x² + 60x

Combine like terms:

10x² + 65x + 100 = 15x² + 60x

Subtract 10x² + 60x from both sides:

5x² + 5x + 100 = 0

Now we have a quadratic equation.

To solve it, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

For the equation 5x² + 5x + 100 = 0, a = 5, b = 5, and c = 100.

Calculating the discriminant (b² - 4ac):

Discriminant = (5²) - (4 x 5 x 100)

Discriminant = 25 - 2000

Discriminant = -1975

Since the discriminant is negative (-1975), the quadratic equation has no real solutions.

Therefore,

The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.

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Answer: The rabbit is hopping at 3 feet/ sec in speed

Step-by-step explanation:

Step 1

Let the The number of feet of the rabbit be expressed as N

AND  time rabbit spends hopping can be expressed  as  t

From the question,  The number of feet varies directly with the time rabbit spends hopping can be expressed  as

N α t

Let us introduce a constant of proportionality ,S which represents  speed in this case, we now have that

N = St

STEP 2 -- SOLVING

If the rabbit hop 6 feet in 2 seconds, Then speed =

N = St

6=  S X2

S = 6/ 2

S = 3

also

If the rabbit hop 12 feet in 4 seconds, Then speed =

N = St

12=  S X 4

S = 12/ 4

S = 3

Also recall

that Speed = Distance / time

Pluging the values in the first case,

speed = 6 feet/ 2 secconds = 3 feet/ seconds

in the second case

Speed= 12 feet/ 4 second s= 3 feet/ secs.

Answer:

33

Step-by-step explanation:

\(\frac{p}{qr} +r-s^3\)

\(p=49,q=-7,r=-1,s=-3\)

Plug in all variable values into the original equation:

\(\frac{49}{-7*-1} +(-1)-(-3)^3\)

Simplify:

\(7-1+27=33\)

The power series represented by the given expression is centered at 7.

The power series given is of the form ∑ [infinity] (−1)n(x − 7)3n (3n)! n = 0. Here, the term (x - 7) indicates that the series is centered at 7. The center of a power series is the point around which the terms are being expanded. In this case, the series is being expanded around x = 7. The power series representation of a function is useful in many areas of mathematics, including calculus and differential equations. Knowing the center of a power series is important because it allows us to use the series to approximate the value of the function at any point in its domain.

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Answer:

12,708,048

Step-by-step explanation:

Answer:

29^(10^39) * 5^53*10^39 * 2^52*10^39

Step-by-step explanation:

I cannot get the exact answer, but here is the simplified.

Answer:

The correct option is;

The data for suitcase 1 have an outlier but the data for suitcase 2 does not

Step-by-step explanation:

Range of a box plot

Interquartile range (IQR) for bot suitcases we have

Here we have for suitcase 1

IQR = Q₃ - Q₁ = 12 - 8 = 4

For suitcase 2

IQR = Q₃ - Q₁ = 18 - 5 = 13

Lower outlier = Q₁ - 1.5×IQR

Higher outlier = Q₃ + 1.5×IQR

For suitcase 1 we have;

Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)

Higher outlier = 12 + 1.5×4 = 18

Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier

For suitcase 2 we have;

Lower outlier = 5 - 1.5×13 = -14.5  (No lower outlier)

Higher outlier = 18 + 1.5×13 = 37.5

Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.

Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.

Answer:A

Step-by-step explanation:

took the test

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

8 cm and 9 cm

Step-by-step explanation:

x + y > 13

5 + 8 = 13

6 + 7 = 13

7 + 2 = 9

8 + 9 = 17

The last response is correct since they are greater than 13 cm

Answer:

d sorry this is late

Step-by-step explanation:

Answer:

Top graph only

Step-by-step explanation:

A function links two set in a way that for each element from the origin set (called domain) you get one and only one element of the target set (co-domain, or range). In layman terms, once you pick your x, you get a single y. In term of graphing it it means that a vertical line of equation  touches the function either zero times (c is outside the domain, or only once (if c is in the domain. If you try it on the various functions there are intervals where you are touching the graphs twice. Or even infinite times as it happens in the last one.

Step-by-step explanation:

\((25x) + (57 + x) = (45x) (ext. \: angles \: of \: a \: triangle) \\ 25x + x- 45x = - 57 \\ \frac{ - 19x}{ - 19} = \frac{ - 57}{ - 19} \\ x = 3\)

Goodluck

Answer:

GH = 62°

Step-by-step explanation:

the chord- chord angle 45° is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is

45° = \(\frac{1}{2}\) (FE + GH) ← multiply both sides by 2 to clear the fraction

90° = FE + GH = 28° + GH ( subtract 28° from both sides )

62° = GH

The volume of the solid obtained by rotating the region bounded by Y=5/x, X=5, X=10, and y=0 about the x-axis is approximately 119.87 cubic units.

To find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis, we can use the method of cylindrical shells.

First, we need to sketch the region and the axis of rotation to get a better understanding of the solid.

The region bounded by the curves Y=5/x, X=5, X=10, and y=0 is shown below:

     y |          

        |          

  5 _|________

       |\                |

       | \               |

       |   \             |

       |     \           |

       |        \        |

       |           \     |

       |             \   |

       |_______\|__

         5           10      x

We can see that the axis of rotation is the x-axis.

Next, we need to set up the integral that will give us the volume of the solid. To do this, we can use the formula:

V = ∫2πy * h * dx

where y is the radius of the cylindrical shell, h is the height of the cylindrical shell, and dx is the width of the cylindrical shell.

We can express y and h in terms of x as follows:

y = 5/x (since y = f(x) = 5/x)

h = x - 5 (since the height of the cylindrical shell is the difference between the upper and lower boundaries of the region)

Substituting these expressions into the formula, we get:

V = ∫2π(5/x)(x - 5)dx

V = 10π ∫(x - 5)/x dx (note that 2π is a constant that can be factored out of the integral)

V = 10π ∫(1 - 5/x) dx

V = 10π [x - 5ln|x|] from x=5 to x=10

V = 10π[(10 - 5ln(10)) - (5 - 5ln(5))]

V ≈ 119.87 cubic units

Therefore, the volume of the solid obtained by rotating the region bounded by Y=5/x, X=5, X=10, and y=0 about the x-axis is approximately 119.87 cubic units.

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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The integral for the volume generated is V = ∫[0, π] 2π(x + 2) [sin(x)] dx

From the question, we have the following parameters that can be used in our computation:

y = 0 and y = sin(x)

Also, we have

The line u = -2

Set the equations to each other

So, we have

sin(x) = 0

When evaluated, we have

x = 0 and x = π

For the volume generated from the rotation around the region bounded by the curves, we have

V = ∫[a, b] 2π(x + 2) [g(x) - f(x)] dx

This gives

V = ∫[0, π] 2π(x + 2) [sin(x) - 0] dx

So, we have

V = ∫[0, π] 2π(x + 2) [sin(x)] dx

Hence, the integral for the volume generated is V = ∫[0, π] 2π(x + 2) [sin(x)] dx

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Answer:

330

Step-by-step explanation:

took the test

Answer:

330 is the answer.

Step-by-step explanation:

Given a linear system of equations in unknowns x, y, and z with the following augmented matrix:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}Use Gauss-Jordan elimination to solve the system for x, y, and z.Solution:Step 1. The first step in solving this linear system of equations is to write the matrix in the form of an augmented matrix. In the following, we list the system of equations associated with the augmented matrix: 1x−1y=−72x+3y=24z−y=1  We begin by focusing on the first equation, which is:1x−1y=−7.

To get rid of the x-coefficient, we add one time the first equation to the second equation. This operation is written as follows:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}We add row1 to row2. -2r1 + r2 = r2{-2, 2, 0, 0, 14}r3 = r3This gives us the new augmented matrix.{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}Step 2Next, we focus on the second equation:0x+1y=−5.

The y-variable is isolated, and we now look at the third equation.4z−2y=1We can isolate the variable z by dividing the entire equation by 4 as follows:z−0.5y=0.25In order to eliminate y in the third row, we add 0.5 times the second row to the third row. This operation is written as follows:{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}We add 0.5 r2 to r3. r3 + 0.5r2 = r3{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -1, -1]}Step 3We can now solve for z using the third equation:4z−1y=−1z = (-1 + y) / 4.

Substituting this into the second equation gives:-2((1 - y) / 4) + 3y = 2y - 1 = 2y - 1Thus, y = 1/2.Substituting the value of y = 1/2 into the first equation gives:x - (1/2) = -7, so x = -13/2.Finally, we can substitute the values of x and y into the third equation to get the value of z: 4z - 1(1/2) = -1, so z = -3/2.The solution to the system of linear equations is: x = -13/2, y = 1/2, and z = -3/2.

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Answer:

2-20p-4 = -20p-2

Step-by-step explanation:

Answer:

- 20p - 2

Step-by-step explanation:

Given

2 - 4(5p + 1) ← distribute parenthesis

= 2 - 20p - 4 ← collect like terms

= - 20p - 2

Answer:

Step-by-step explanation:

The implied utilization of the resources in the process can be calculated by dividing the demand rate by the total capacity of the resources. In this case, the total capacity is 1.1 + 0.93 = 2.03 clients per hour. Therefore, the implied utilization is 0.75 / 2.03 = 0.369 (or 36.9%).

The implied utilization represents the proportion of the available capacity that is being utilized to meet the demand. In this scenario, approximately 36.9% of the total capacity is being utilized to serve the clients. This indicates that there is still some unused capacity available in the process.

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