What is the prime factorization of 90?

The deductible is $0.20 and the probability that the insurer pays at least 1.44 on a random loss is 0.18.

To answer this question, we need to use the information given to find the value of the deductible d and the expected value of the losses. We know that the losses are uniformly distributed on the interval [0,2], so the expected value of the losses is (2+0)/2 = 1.
We also know that the probability of the insurer paying at least 1.20 on a random loss is 0.30. This means that the probability of the insurer paying less than 1.20 is 1 - 0.30 = 0.70. We can use this information to find the value of the deductible d.
Let X be the amount of the loss in excess of the deductible d. Then, the probability density function of X is f(x) = 1/2 for 0 ≤ x ≤ 2-d, and the cumulative distribution function of X is F(x) = (x-d)/2 for 0 ≤ x ≤ 2-d.
We know that P(X ≥ 1.20-d) = 0.30, so we can solve for d:
0.30 = P(X ≥ 1.20-d) = 1 - F(1.20-d)
0.30 = 1 - (1.20-d)/2
(1.20-d)/2 = 0.70
1.20-d = 1.40
d = 0.20
Therefore, the deductible is $0.20.
Now, we need to calculate the probability that the insurer pays at least 1.44 on a random loss. Let Y be the amount of the loss. Then, the probability density function of Y is f(y) = 1/2 for 0 ≤ y ≤ 2, and the cumulative distribution function of Y is G(y) = y/2 for 0 ≤ y ≤ 2.
The probability that the insurer pays at least 1.44 on a random loss is the same as the probability that the loss is greater than or equal to 1.44 plus the deductible:
P(Y - d ≥ 1.44) = P(Y ≥ 1.64)
= 1 - G(1.64)
= 1 - 1.64/2
= 0.18
Therefore, the probability that the insurer pays at least 1.44 on a random loss is 0.18.

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The area of the walkway around the garden is 2.5(6x+6) - 2(3.5x +2.5).

A sketch or a picture is an example of a flat shape, which is a two-dimensional geometric shape. The interior space of the shape is how area is defined in mathematics. The area of a two-dimensional shape must take into account the units, which are squared units (units2). All of the shapes shown in the diagram below are flat, two-dimensional shapes. The quantity of square units that occupy any form determines its area.

Given

A rectangular garden has a walkway around it

Area of garden 2(3.5x +2.5)

Combined area 2.5(6x+6)

Walkway area = A

2(3.5x +2.5) + A = 2.5(6x+6)

A = 2.5(6x+6) - 2(3.5x +2.5)

The area of the walkway around the garden is 2.5(6x+6) - 2(3.5x +2.5).

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Answer:

22.1

Step-by-step explanation:

If the triangle is similar then the side lengths have common ratios

*Create ratio to solve for RS*

47.8/13 = RS/6

Now solve for RS

simplify

47/13 = 3.677

We now have 3.677 = RS/6

Multiply each side by 6

3.677 * 6 = 22.1

RS/6 * 6 = RS

we're left with RS = 22.1

The number 87 is 13% less than 100.

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

To calculate the percentage less than 100, we can use the formula:

Percentage less than 100 = ((100 - given number) / 100) * 100

Using this formula, we can find the percentage less than 100 for the number 87:

Percentage less than 100 = ((100 - 87) / 100) * 100

= (13 / 100) * 100

= 13%

Therefore, the number 87 is 13% less than 100. This means that 87 is 13% smaller than 100. In other words, if we decrease 100 by 13%, we will get 87.

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Answer:

15 feet off the ground

Step-by-step explanation:

Hope this helps!

Answer:18

Step-by-step explanation:

1.5 times 12 =18

Answer:

16/48

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.

NQ is an angle bisector then ∠ MNQ = ∠ PNQ

∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then

MN = PN

----------------------------------------------

∠ MNQ = ∠ PNQ

MN = PN ( included sides between the 2 angles )

∠ M = ∠ N

Δ MNQ ≅ Δ PNQ by the ASA postulate

Answer:

Step-by-step explanation:

In Δ MNP,

∠NMQ ≅ ∠NPQ

⇒ NM = NP - ------> (I)     {Sides opposite to equal angles are equal}

In ΔMNQ & ΔPNQ,

∠MNQ  ≅ ∠PNQ             {NQ is angle bisector}

NM  = NP                     {from (I)}

∠NMQ ≅ ∠NPQ           {Given}

ΔMNQ ≅ ΔPNQ          -  Angle Side Angle  {ASA congruent}

Answer:the function is linear

Step-by-step explanation:

Answer:

it linear

Step-by-step explanation:

AP3X verified

Answer:

x = 6°

Step-by-step explanation:

We know that all the interior angles of a triangle sum up to 180°.

(7x+3)°+(80°)+(55°) = 180°

(7x+3)°+(135°) = 180°

(7x+3)°= 45°

7x = 42°

x = 6°

The probability that Suspect A is the guilty party is 2/3.

Suppose a crime is committed by one of the two suspects A and B. Initially, there is equal evidence against both of them. Further, in the investigation, it is found that the guilty party had a blood type found in 10% of the population. Suspect A does match this blood type, whereas the blood type of Suspect B is unknown.The probability that A is the guilty party is calculated as follows:

Let P(A) be the probability that A is guilty, and P(B) be the probability that B is guilty.As there is an equal amount of evidence against both suspects, both P(A) and P(B) are equal and can be expressed as P(A) = P(B) = 1/2.Let the probability of the blood type of a guilty party be X.

Since Suspect A's blood type matches the guilty party's blood type, the probability that he is the guilty party is P(X | A) = 1.Since Suspect B's blood type is unknown, we must take into account the possibility of him being the guilty party despite not matching the guilty party's blood type.

As a result, the probability that he is the guilty party is P(X | B) = 0.1.

The probability that the guilty party has blood type X can be expressed as:P(X)

= P(A) P(X | A) + P(B) P(X | B)P(X) = 1/2 × 1 + 1/2 × 0.1P(X) = 0.55

Using Bayes' theorem, we can calculate the probability that Suspect A is the guilty party:

P(A | X) = P(X | A) P(A) / P(X)P(A | X) = 1 × 1/2 / 0.55P(A | X) = 0.9091 ≈ 2/3.

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The only energy released as a result is equal to two ATP molecules. Organisms can turn glucose into carbon dioxide when oxygen is present. As much as 38 ATP molecules' worth of energy is released as a result.

Why do aerobic processes generate more ATP?

Anaerobic respiration is less effective than aerobic respiration and takes much longer to create ATP. This is so because the chemical processes that produce ATP make excellent use of oxygen as an electron acceptor.

How much ATP is utilized during aerobic exercise?

As a result, only energy equal to two Molecules of ATP is released. When oxygen is present, organisms can convert glucose to carbon dioxide. The outcome is the release of energy equivalent to up of 38 ATP molecules. Therefore, compared to anaerobic respiration, aerobic respiration produces a large amount more energy.

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Step-by-step explanation:

Change the equation to the general form \(Ax + By + C = 0\).

\(y - 15 = - 6(x + 7) \\ y - 15 = - 6x - 42 \\ 6x + y - 15 + 42 = 0 \\ 6x + y + 27 = 0\)

The slope

\( = - \frac{A}{B} \)

\( = - \frac{6}{1} \)

\( = - 6\)

Answer:  Slope is -6

Step-by-step explanation:

We want to rearrange the equation to the form of y=mx+b, where m is the slope and b the y-intercept.

y−15=−6(x+7)

y−15=−6x-42

y=−6x-42+15

y = -6x - 27

The slope is -6

Answer:

2√10

Step-by-step explanation:

when trangle ABC is drawn and then you insert ur altitude BD which is a straight line , and u then join it to c. This will form a rectangle. When that rectangle is formed you can use the available adjacent and opp which is now 6 and 2. Use this to find your hypoteneuse. Formula is x^2 + y^2 = z^2. and ur answer will be √40 which is equivalent to 2√10

Answer:

a it has to equal 180

I need this to be 20 letters long so I'm doing dis

Answer:

A is the right answer

Step-by-step explanation:

A triangles angles equal 180° like if you add up all the ablngles no matter what size of the shape. So to find the answer you add the angles you know so in this case 61+69 which equals 130 so then you subtract 180 with 130 to get you 180. And if you want to make sure you are right you can add up all the angles which is 69+61+50=180

Hope this helps :)

Answer:

x=1

Step-by-step explanation:

The value of x is 1. So, the correct answer is d. x = 1.

To find the value of x, we can use the fact that the corresponding sides of congruent triangles are equal.

In triangle ABC, side AB is labeled 4x - 1, side BC is labeled 4, and side AC is labeled 5.

In triangle CDE, side CD is labeled 5, side DE is labeled x + 2, and side CE is labeled 4.

Since triangle ABC is congruent to triangle CDE, we can set up the following equations:

4x - 1 = 5
4 = x + 2

Simplifying these equations, we get:

4x = 6
x = 1

Therefore, the value of x is 1. So, the correct answer is d. x = 1.

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Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

The range of the function f(x)=2x−3 is set-builder notation as {x | x ∈ ℝ} and the range of the function f(x)=x is set-builder notation as {x | x ∈ ℝ}.

The given function are f(x)=2x-3 and f(x)=x.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

a) Substitute x=0, 1, 2, 3, 4,.....in f(x)=2x-3, we get

f(0)=-3

f(1)=-1

f(2)=1

f(3)=3

f(4)=5,......

f(x)=2x−3, the range is all real numbers. This can be expressed in set-builder notation as {x | x ∈ ℝ}. This means that 'x' belongs to the set of real numbers.

b). Substitute x=0, 1, 2, 3, 4,.....in f(x)=x, we get

f(0)=0

f(1)=1

f(2)=2

f(3)=3

f(4)=4,.......

f(x)=x, the range is also all the real numbers, expressed as {x | x ∈ ℝ}. This means that 'x' belongs to the set of real numbers.

Therefore, the range of the function f(x)=2x−3 is set-builder notation as {x | x ∈ ℝ} and the range of the function f(x)=x is set-builder notation as {x | x ∈ ℝ}.

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a. Range: (-∞, ∞)
b. Range: [-1, ∞)
c. Range: [-7, ∞)
d. Range: (-∞, 16]
e. Range: [-25, ∞)
f. Range: (-∞, 7]

To find the range of each function and state it in set-builder notation, we need to determine the set of all possible output values.

a. f(x) = 2x - 3:
In this linear function, any real number can be inputted for x.

The range consists of all possible values obtained by substituting x.

Therefore, the range is (-∞, ∞).

b. \(f(x) = x^2 - 4x + 3\) :
This is a quadratic function. To find the range, we can consider the vertex of the parabola formed by the function.

The vertex occurs at x = -b/2a, where a, b, and c are coefficients of the quadratic function.

In this case, a = 1 and b = -4.

Plugging these values into the equation, we get x = -(-4)/(2*1) = 2.

Substituting this value back into the function, we get f(2) = \(2^2 - 4(2) + 3 = -1.\)

The vertex of the parabola is (2, -1).

Since the parabola opens upwards, the range will be from the vertex value (-1) to positive infinity.

Thus, the range is [-1, ∞) in set-builder notation.

c. f(x) =\(x^2 + 2x - 8\):
Similar to the previous quadratic function, we can find the vertex by using the formula x = -b/2a.

In this case, a = 1 and b = 2.

Plugging these values into the formula, we get x = -2/2(1) = -1.

Substituting this value back into the function, we get \(f(-1) = (-1)^2 + 2(-1) - 8 = -7.\) T

he vertex of the parabola is (-1, -7).

As the parabola opens upwards, the range is from the vertex value (-7) to positive infinity.

Thus, the range is [-7, ∞) in set-builder notation.

d. \(f(x) = 16 - x^2\) :
This is a quadratic function in the form of f(x) = \(-x^2 + 16\).

The coefficient of the \(x^2\)  term is negative, indicating a parabola that opens downwards.

Therefore, the range of this function will be from negative infinity to the maximum value of the function.

In this case, the maximum value occurs at the vertex.

To find the vertex, we use x = -b/2a, where a = -1 and b = 0. Plugging these values into the formula, we get x = -0/2(-1) = 0.

Substituting this value back into the function, we get f(0) = 16.

Hence, the vertex is (0, 16). Since the parabola opens downwards, the range is from negative infinity to the vertex value.

Therefore, the range is (-∞, 16] in set-builder notation.

e.\(f(x) = x^2 - 25\) :
This quadratic function can be factored as (x - 5)(x + 5).

By factoring, we can see that the function equals zero when x = 5 and x = -5. This indicates that the function crosses the x-axis at these points.

Since the parabola opens upwards, the range will be from the lowest point on the parabola to positive infinity.

The lowest point occurs at the vertex. Using the formula x = -b/2a, where a = 1 and b = 0, we find x = -0/2(1) = 0.

Substituting this value back into the function, we get f(0) = -25.

Hence, the vertex is (0, -25).

Therefore, the range is [-25, ∞) in set-builder notation.

f. f(x) = \(8 - 2x - x^2\) :
This is a quadratic function, but it is written in a slightly different form. We can rewrite the function as f(x) = \(-(x^2 + 2x) + 8\).

The coefficient of the \(x^2\) term is negative, indicating a parabola that opens downwards.

Therefore, the range will be from negative infinity to the maximum value of the function.

To find the vertex, we can use x = -b/2a, where a = -1 and b = -2. Plugging these values into the formula, we get x = -(-2)/2(-1) = 1.

Substituting this value back into the function, we get f(1) = 7.

Hence, the vertex is (1, 7).

Since the parabola opens downwards, the range is from negative infinity to the vertex value.

Thus, the range is (-∞, 7] in set-builder notation.

To summarize:
a. Range: (-∞, ∞)
b. Range: [-1, ∞)
c. Range: [-7, ∞)
d. Range: (-∞, 16]
e. Range: [-25, ∞)
f. Range: (-∞, 7]

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Question-

Find the range, state the range in set-builder notation.

a. f(x)=2x−3

b. f(x)=x^(2)−4x+3

c. f(x)=x^(2)+2x−8

d. f(x)=16−x^(2)

e. f(x)=x^(2)−25

​f. f(x)=8−2x−x^(2)

Answer:

$74.00

Step-by-step explanation:

multiply 40 by 0.83=34 add to 40=74

Answer:

Length = 16 feet, width = 12 feet

Step-by-step explanation:

The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.

Do the same steps with the width. The real length is 12 feet.

Hope it helps!

Answer

First off, nice 100 point scam, don't do it again, because you could get warned or even worse banned, second off Have a great day!

Length = 16 feet, width = 12 feet

Step-by-step explanation:

The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.

Do the same steps with the width. The real length is 12 feet.

Hope it helps!

Step-by-step explanation:

Answer:

see image.

Step-by-step explanation:

For the pairs sec&csc,

tan&cot,

sin&cos

the ratios are equal IF the angles are complementary.

So like, EXAMPLE:

sin 20° = cos 70°

tan 10° = cot 80° or

sec 50° = csc 40°

^^^^these are not the answers! Just see the angles add up to 90°

So you just need to grab the angle info in the parenthesis and ADD it up and set it EQUAL TO 90°

and SOLVE for theta. See image.

Answer:

3x - 6

Step-by-step explanation:

Let's call the number of coins Karen has "x".

According to the information given, Bill has 6 coins fewer than two times the number of coins Karen has, so we can write the following expression for the number of coins Bill has:

Bill: 2x - 6

To find the total number of coins Karen and Bill have, we simply add the number of coins each person has:

Karen + Bill: x + (2x - 6) = 3x - 6

So the total number of coins Karen and Bill have is 3x - 6.

Answer:  the total amount of coins Bill and Karen have can be found with the following equation: 3x-6

Step-by-step explanation:

Karen has x coins

Bill's coins are twice the x, so 2x, and he has 6 fewer than that.

The equation becomes x+2x-6 which can be simplified to 3x-6.

Answer:he equation can be written as y=0x+7 ). Thus, y will always be 7 , creating a horizontal line.

Step-by-step explanation: so it is not c

The graph of y = 7 is a horizontal line. neither is it b so it is a

The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

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Answer:

A) y = -4sin(x)

Step-by-step explanation:

Just took the quiz on edge 2022

Answer:

1155

Step-by-step explanation:

let the ratio be 4x:11x

4x=420

x=105

11x=11*105

=1155

The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

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Answer:

The answer is-11/8

Step-by-step explanation:

3(2-4x)+4x>17

6-12x+4x>17

-8x>17-6

-8x>11

divide both sides by-8

-8x/-8=11/-8

x= -11/8

Step-by-step explanation:

● 6-12x+4x>17

●6-8x>17

●-8x>17-6

●-8x>11

●-8x÷-8>11÷-8

●x= -11/8

The null and alternative hypotheses for the given scenario is :

h₀ = 0.39

ha > 0.39

Given, a newsletter r publisher believes that more than 39% of their readers own a laptop.

let the proportion of readers owning a laptop be denoted by p.

We want to test the claim that more than 39% of the readers own a laptop.

Hence, we frame:

Null hypothesis is H₀: p = 0.39

Alternative hypothesis is H₁: p > 0.39

Hence there is no sufficient evidence at the 0.05 level.

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