a family health insurance policy pays the total of the first three claims in a year. if there is one claim during the year, the amount claimed is uniformly distributed between 100 and 500. if there are two claims in the year, the total amount claimed is uniformly distributed between 200 and 1000, and if there are three claims in the year, the total amount claimed is uniformly distributed between 500 and 2000. the probabilities of 0, 1, 2, and 3 claims in the year are 0.5, 0.25, 0.15, and 0.10, respectively. determine the probability that the insurer pays less than 500 in total claims for the year.

Answer:

C

Step-by-step explanation:

the statement (y<1/2x -4) reads "y is LESS than 1/2 x -4."

to fulfil this statement, follow these steps.

1) graph the line 1/2x -4, there will be a yintercept at (0,-4). Also the slope will be increasing (left to right) because 1/2 has no negative sign before it.

2) recognize the inequality sign. In this situation, the solution does NOT INCLUDE THE LINE, rather it includes the area BELOW/LESS THAN the line. If this, < had a line under it, it would mean less than OR equal to.

3) know that if the line is not included, the line will be broken. If the line IS included, which it is not, it would be a solid line.

Answer:

C

Step-by-step explanation:

First, graph the equation:

The y-intercept is -4.

And the slope is 1/2, an upward sloping line.

So, our graph should be either A, B, or C.

D is not correct, so eliminate that.

So, our inequality is:

\(y<\frac{1}{2}x-4\)

Note that this inequality is strictly less than. There's no "or equal to" bar. Therefore, our line should be dotted.

Thus, eliminate A and B.

So, C is our answer

Further notes:

The inequality sign means that y is less than the equation. In other words, our shaded region should be below the line.

In C, the shaded area is indeed below the line.

So, C is indeed our answer :)

Let l be the length of the rectangle and w be the width of the rectangle. Therefore, the area of the rectangle is given by the formula:

We know that the area of the rectangle is given as 81m².

So, 81 = lw

Let's solve for w: w = 81/l

The perimeter of the rectangle is given by the formula: Perimeter of Rectangle = 2(Length + Width)P

= 2(l + w)

Substituting the value of w from the above equation: P = 2(l + 81/l) This is the required expression to calculate the perimeter of the rectangle in terms of length. In order to find the perimeter of a rectangle, we need to know the length and width of the rectangle. We can then use the formula for the perimeter of a rectangle, P = 2(l + w), and substitute the value of w that we just found: P = 2(l + 81/l) This is the required expression to calculate the perimeter of the rectangle in terms of length l.

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Answer:

The number sentence is false.

Step-by-step explanation:

The inequality given is

20 > 86 − ℎ

We are to substitute the value of h as 46 to see if the inequality is true or false.

20 > 86 - 46

20 > 40

Since 20 is not greater than 40, the number sentence is false.

Answer:

ADD them

Step-by-step explanation:

11 1/5+ 5 1/4 is 19/20

If you were subtracting the fractions your answer would be different (look at attachment)

Answer:

To find the difference of the weights, you must subtract the smaller number from the bigger number.

First, we want to convert both mixed numbers to improper fractions

5 1/4 = 20/4 + 1/4 = 21/4

11 1/5 = 55/5 + 1/5 = 56/5

Now, we make the denominator for both to be equal to 20, and subtract to get the answer: 119/20, or about 5.95 pounds.

Let me know if this helps!

Answer:

The combination of X and Y that will yield the optimum solution for this problem is C. 13,8.7619.

Consider the following LP problem with two constraints:

                                                 44X+43Y>=1892

                                                 23X+21Y=483.

The objective function is Min 5X+38Y.

First, convert the inequality into an equation.

                                        44X + 43Y = 1892

Find the value of X when

                                         Y = 0.44X + 43(0)

                                            = 1892X = 1892/44X

                                            = 43

Next, we will find the value of Y when

                                         X = 0.44(0) + 43Y

                                            = 1892Y

                                            = 1892/43Y

                                           = 44

Next, find the optimal solution by plotting the equation on the graph.

The equation is represented by a line.

The line passes through two points: (0, 44) and (43, 0).Plot the line and draw the feasible region that satisfies all of the constraints. We can then determine the optimal solution.

Now, the intersection of the two lines is (13, 8.7619).

Therefore, the combination of X and Y that will yield the optimum solution for this problem is C. 13,8.7619.

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Since, the false positive rate, p( |n), for a test is given as 0.04. The specificity for this test is 0.96.

Based on the information provided, the false positive rate for the test is 0.04. To find the specificity, you can use the following relationship:

Specificity = 1 - False Positive Rate

Step 1: Identify the false positive rate (0.04).
Step 2: Subtract the false positive rate from 1.
To find the specificity for a test given the false positive rate, we subtract the false positive rate from 1. So, the specificity for this test would be:

specificity = 1 - false positive rate
specificity = 1 - 0.04
specificity = 0.96
Specificity = 1 - 0.04 = 0.96

Your answer: The specificity for this test is 0.96.

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The amount of vanilla extract that will be needed to be able to make 2 dozen cookies is 2 teaspoons of vanilla extract

The recipe given will be able to yield 1 . 5 dozen of Oatmeal Raisin Cookies  which means that the 1 . 5 teaspoons of vanilla extract will be needed for 1. 5 dozens of Oatmeal Raisin Cookies.

If you are to make 2 dozen cookies therefore, it means that the recipe would require a higher amount of vanilla extract which can be found by the formula:

= ( Dozen cookies needed x teaspoons in  1 .5 dozen ) / 1 . 5 dozen

= ( 2 x 1 . 5 ) / 1 . 5

= 2 teaspoons of vanilla extract

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Answer:

x = 1187.96

Step-by-step explanation:

Let x = price before tax

tax = x* 7.6%

tax = .076x

The cost of the computer is price before tax plus tax

cost = x + .076x

cost = 1.076x

1278.24 = 1.076x

Divide each side by 1.076

1278.24/1.076 = 1.076x/1.076

x=1187.9553

Rounding to the nearest cent

x = 1187.96

… I hope this help you

The expression which is equivalent to (2 cubed) Superscript negative 5 is; (1/2¹⁵)

According to the question;

The expression is therefore; (2³)-⁵

Hence, upon evaluation; it follows that;

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Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

To calculate the volume of a cuboid (the shape shown) you need 3 values:

Width, length and height.

As we already have the width and length, we need the height and we can determine the height from the picture of the shape that is shown. In this case the height would be either RU or ST. We look at the possible answers to see if any of the possible answers match our possible solutions - in this case ST.

Therefore the answer would be a) ST

Answer:

40

this needs to be 20 characters but its multiple choice so it doesnt

matter

Answer:

x= 40

Step-by-step explanation:

The alternate interior angles are the same degree

so x+30=70

simplify

x=40

w⊥ (read "w perp") is the set of all vectors that are orthogonal (perpendicular) to every vector in w. In other words, if v is in w⊥, then v is perpendicular to both u1 and u2.

Now, onto the specific question. We have w=span{u1,u2}, which means that w is the set of all linear combinations of u1 and u2. In other words, any vector in w can be written as c1u1 + c2u2 for some constants c1 and c2.

To determine whether a vector is in w⊥, we need to check if it is perpendicular to both u1 and u2. We can do this using the dot product.

Recall that the dot product of two vectors u and v is defined as u·v = ||u|| ||v|| cos(θ), where ||u|| and ||v|| are the magnitudes of u and v, and θ is the angle between them. If u and v are perpendicular, then cos(θ) = 0 and their dot product is 0 as well.

So, for each vector we are given, we can compute its dot product with u1 and u2 and check if they are both 0.

If they are, then the vector is in w⊥. If not, then the vector is not in w⊥.

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Answer:

the first one

Step-by-step explanation:

The directional derivative of the function f(x,y) = 2xy - 3y^2 at the point P0 = (5,5) in the direction of the vector u = 4i + 3j is 6√2.

Explanation:

The directional derivative measures the rate of change of a function in a specific direction. It is denoted by ∇_u f(x,y), where u is the unit vector in the direction of interest. To compute the directional derivative, we need to take the dot product of the gradient of f with the unit vector u.

First, we need to find the gradient of f(x,y).

∇f(x,y) = [2y, 2x - 6y]

Next, we need to normalize the vector u to get the unit vector in the direction of interest.

|u| = √(4^2 + 3^2) = 5

u^ = (4/5)i + (3/5)j

Taking the dot product of the gradient of f with the unit vector u, we get:

∇_u f(x,y) = ∇f(x,y) · u^ = [2y, 2x - 6y] · (4/5)i + (3/5)j

At the point P0 = (5,5), we have:

∇_u f(5,5) = [2(5), 2(5) - 6(5)] · (4/5)i + (3/5)j = 10(4/5) + (-6)(3/5) = 8 - 3.6 = 4.4

Therefore, the directional derivative of f(x,y) at the point P0 = (5,5) in the direction of the vector u = 4i + 3j is:

∇_u f(5,5) = 4.4

Finally, we need to scale the result by the magnitude of the vector u to get the directional derivative in the direction of u.

Directional derivative = ∇_u f(5,5) / |u| = 4.4 / 5 = 0.88 * √(2)

Directional derivative = 6√2.

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Answer:i cant see the problem?

Step-by-step explanation:try reuploding it

Answer:

Insurance Expense (Dr.) $200

Prepaid Insurance (Cr.) $200

Supplies expense (Dr.) $1,250

Cash (Cr.) $1,250

Depreciation Expense (Dr.) $424

Accumulated depreciation Building (Cr.) $304

Accumulated Depreciation Equipment (Cr.) $120

Interest Expense (Dr.) $200

Interest Payable (Cr.) $200

Unearned Rent Revenue (Dr.) $2,200

Rent Revenue (Cr.) $2,200

Salaries Expense (Dr.) $700

Salaries Payable (Cr.) $700

Step-by-step explanation:

Three column ledger has particular, debit and credit columns in which all the entries which are recorded in journal entries are posted to have a clear view of the expense and income.

Answer:

you are right

Step-by-step explanation:

x²-2x-8≠0

⇒ (x-4)(x+2)≠0 ⇒ x≠-2 x≠4

Answer:

C

− 7 c + 4 d + 7 c 2 d − 10

Step-by-step explanation:

Answer:

You are left with $1.44

Step-by-step explanation:

Subtract the amount of money you payed to how much the cost actually was to get your answer.

The nearest tenth of a percent, would be required in order is 7.23%

What is compounded continuosuly ?

Continuous compounding means that there is no limit to how often interest can compound. Compounding continuously can occur an infinite number of times, meaning a balance is earning interest at all times.

What is percent ?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%

Have given,

I invested $47,000

in 5 year I want to make my money in $64,000

Then I want more than \(\frac{64000-47000}{5}\) = $3400 money every year,

Let x is my percentage,

\(\frac{47000 * x}{100} = 3400\)

x = 7.23%

The nearest tenth of a percent, would be required in order is 7.23%

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To determine if the vector field F = (2y,2x+z²,2yz) is conservative, we need to check if it satisfies the condition that the curl of F is equal to zero.

Using the curl formula, we can calculate the curl of F:

curl(F) = (∂Fz/∂y - ∂Fy/∂z, ∂Fx/∂z - ∂Fz/∂x, ∂Fy/∂x - ∂Fx/∂y)

= (2z, 0, 2y)

Since the curl of F is not equal to zero, we can conclude that F is not conservative.

Therefore, there does not exist a potential function for F.

A vector field is said to be conservative if it can be expressed as the gradient of a scalar potential function. In other words, if F = ∇f for some scalar function f, then F is conservative. The curl of a conservative vector field is always zero, and the converse is also true. Therefore, to determine if a vector field is conservative, we can check if its curl is zero. If the curl is not zero, then the vector field is not conservative and does not have a potential function.

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A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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Answer:

9 and 11

Step-by-step explanation:

Answer:

1   and 11

Step-by-step explanation:

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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Maclaurin polynomial approximation of f(x) = x tan x^2 are x^2, 0, and -(x^6)/6.

The Maclaurin polynomial approximation of f(x) = sin x is given by: f(x) ≈ x - (x^3)/3!. To find the first three nonzero terms, we expand the polynomial: f(x) ≈ x - (x^3)/6. Next, we substitute x^2 for x in the expression to find the Maclaurin polynomial approximation of f(x) = x tan x^2: f(x) = (x^2) tan (x^2) ≈ (x^2) - ((x^2)^3)/6. Simplifying further, we have: f(x) ≈ x^2 - (x^6)/6. Therefore, the first three nonzero terms in the Maclaurin polynomial approximation of f(x) = x tan x^2 are x^2, 0, and -(x^6)/6.

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Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

The true statement is that renting from Company B will be cheaper if Samir drives the truck 100 miles. Then the correct option is D.

The linear equation is given as,

y = mx + c

Where m = the slope of the line

c is the y-intercept of the line.

Let y be the total amount and x be the number of miles.

Samir can rent a moving truck from Company A for $35 plus $0.50 per mile. Then the equation will be

y = 0.5x + 35   ....1

Company B for $25 plus $0.70 per mile. then the equation will be

y = 0.7x + 25     ....2

For the same rent, the number of miles will be

0.7x + 25 = 0.5x + 35

0.2x = 10

x = 50 miles

Renting from Company B will be cheaper if Samir drives the truck 100 miles. Then the correct option is D.

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