a relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 92 months and a standard deviation of 3.6 months. when this computer-relay microchip malfunctions, the entire satellite is useless. a large london insurance company is going to insure the satellite for 50 million dollars. assume that the only part of the satellite in question is the microchip. all other components will work indefinitely. a button hyperlink to the salt program that reads: use salt. (a) for how many months should the satellite be insured to be 96% confident that it will last beyond the insurance date? (round your answer to the nearest tenth of a month.) (no response) incorrect: your answer is incorrect. months (b) if the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends? (round your answer to four decimal places.) (no response) incorrect: your answer is incorrect. (c) if the satellite is insured for 84 months, what is the expected loss to the insurance company (in dollars)? (round your answer to the nearest dollar.) $(no response) incorrect: your answer is incorrect. (d) if the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make (in dollars)? (round your answer to the nearest dollar.) $(no response) incorrect: your answer is incorrect.

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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The only prism with a volume between 10 and 20 cubic inches is Prism C, which has a volume of 16 cubic inches.

To find the volume of each prism, we need to use the formula of volyume for prisms which is: Volume = Base Area x Height. Now we will go ahead to find the volumes for all the prisms as follows:

Prism A:

Base Area = 4 x 5 = 20

Height = 2

Volume = 20 x 2 = 40 cubic inches

Prism B:

Base Area = 3 x 4 = 12

Height = 3

Volume = 12 x 3 = 36 cubic inches

Prism C:

Base Area = 4 x 4 = 16

Height = 1

Volume = 16 x 1 = 16 cubic inches

Prism D:

Base Area = 4 x 4 = 16

Height = 6

Volume = 16 x 6 = 96 cubic inches

So, the prism whose volume falls between 10 to 20 is the third prism.

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The Complement of a 14° angle is 76°, while the supplement of 14° angle is 166°.

Recall that two angles that have a sum of 90 degrees are referred to as complementary angles. This implies that, if x is an angle, its complement is (90 - x).

Also, the supplement of an angle is the angle measure that is added to it to make it 180 degrees. This implies that if x is an angle, its supplement would be (180 - x).

Therefore, we have:

Complement of a 14° angle = 90 - 14 = 76°.

Supplement of 14° angle = 180 - 14 = 166°.

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Answer:

  (d)  3 × [A2] + [A1] ⇒ [B1]

  (c)  -2 × [B1] + [B2] ⇒ [C2]

Step-by-step explanation:

Given three systems of equations, you want to know the operations that transform one system to the next.

Equation B2 is unchanged from equation A2, eliminating choices B and C.

Equation B1 is not a simple multiple of equation A1, eliminating choice A.

Knowing the answer is choice D, we need to find the multiplier k of equation A2 that is being added to A1. We can find that using the x-coefficients:

  k(-3) +5 = -4

  -3k = -9 . . . . . subtract 5

  k = 3 . . . . . . . divide by -3

Then we have ...

  3 × [A2] + [A1] ⇒ [B1] . . . . . . . choice D

Using the same tactics as above, we see that [C1] is unchanged from [B1], eliminating choices A and D.

[C2] is not a simple multiple of [B2], eliminating choice B.

Using the y-coefficient to find k, we have ...

  k(1) +2 = 0

  k = -2 . . . . . . . . subtract 2

Then we have ...

  -2 × [B1] + [B2] ⇒ [C2] . . . . . . . . choice C

__

Additional comment

We found the equation multiplier, which we called "k", by looking at an arbitrary variable coefficient. Which of the numbers we use in this process is immaterial. That is, we could use either coefficient, or the right-side constant, and we would get the same result.

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So, the area of the shape is 164.4 square meters.

In geometry, area is the measure of the size of a two-dimensional surface or region. It is the amount of space inside the boundaries of a flat object such as a polygon, circle, or rectangle. Area is measured in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on. To calculate the area of a shape, you typically need to use a specific formula depending on the type of shape, such as base times height for a triangle, or length times width for a rectangle.

Here,

The area of the shape is equal to the sum of the areas of these smaller pieces. We can calculate each area as follows:

The area of the rectangle on the left is 4m x 8.4m = 33.6 square meters.

The area of the rectangle on the right is 8m x 11.4m = 91.2 square meters.

The area of the triangle on the top is (8.4m x 4m) / 2 = 16.8 square meters.

The area of the triangle on the bottom is (11.4m x 4m) / 2 = 22.8 square meters.

Therefore, the total area of the shape is:

33.6 + 91.2 + 16.8 + 22.8 = 164.4 square meters

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The solution of the expression is x = (-1 ± i√3)/2 and the domain of the expression is all values of x l x ≥ 0 (option c).

The given equation is -x² = √x. To solve this equation, we need to isolate x on one side of the equation. We begin by squaring both sides of the equation to eliminate the radical:

(-x²)² = (√x)²

x⁴ = x

Now we have a quartic equation, which we can solve by factoring:

x(x³ - 1) = 0

We can further simplify this equation by factoring the cubic term using the difference of cubes formula:

x(x - 1)(x² + x + 1) = 0

From this factorization, we can see that the solutions are x = 0, x = 1, and the solutions of the quadratic factor x² + x + 1 = 0. To find the solutions of the quadratic, we can use the quadratic formula:

x = (-1 ± √1 - 4(1)(1))/2(1)

x = (-1 ± i√3)/2

Therefore, the solutions to the equation -x² = √x are x = 0, x = 1, and x = (-1 ± i√3)/2.

Now let's consider the domain of the solutions, which is determined by the inequality x ≥ 0. This inequality means that the solutions must be greater than or equal to 0. We can see that x = 0 and x = 1 satisfy this inequality.

For the solution x = (-1 ± i√3)/2, we can see that it does not satisfy the inequality x ≥ 0 because it is negative. Therefore, the solutions to the equation -x² = √x in the domain x ≥ 0 are x = 0 and x = 1.

Finally, let's consider the inequality x ≤ 0. This inequality means that the solutions must be less than or equal to 0. We can see that x = 0 satisfies this inequality. However, x = 1 and x = (-1 ± i√3)/2 do not satisfy this inequality. Therefore, the solutions to the equation -x² = √x in the domain x ≤ 0 are x = 0.

Hence the correct option is (c).

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Complete Question:

Solve the expression -x² = √x . And identify the domain of the expression,

A. all values of x

B. all values of x l x ≥ 1

C. all values of x l x ≥ 0

D. all values of x l x ≤ 0

Answer:

it is 12 percent

Step-by-step explanation:

your welcome

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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The standard deviation of the mean birth weights for samples of 100 babies is 50 grams.

The standard deviation of the mean birth weights for samples of 100 babies can be calculated using the formula:

Standard deviation of the mean = Standard deviation of the population / sqrt(sample size)

Given that the standard deviation of birth weights for individual babies in the population is 500 grams, and the sample size is 100, we can plug in these values into the formula:

Standard deviation of the mean = 500 / sqrt(100) = 50 grams

Therefore, the standard deviation of the mean birth weights for samples of 100 babies is 50 grams.

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Answer:

2l + 2w = 24, so l + w = 12

A(l) = l(12 - l)

Answer:

B

Step-by-step explanation:

Its easy

Answer:

a = -2 b = -3

Step-by-step explanation:

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Answer:

1) 1.5 meters

2) 75° or (5/12)π radians

3) A = (5/12)πr^2

4) A = (5/12)π(1.5^2)

= 15π/16 square meters

= about 2.95 square meters

Answer:

57

Step-by-step explanation:

2 X 2 = 4

4 X 8 = 32

32 + 25 = 57

Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Answer: Perimeter of semi-circle πr + 2r

Area of semi-circle πr2/2

Step-by-step explanation:

i promise

Answer: A and D as for angle 24 deg, we are using the sin=opp/hyp and for angle 66 we are using cos=adj/hyp.

To find angle 66, you just subtract all 180 by the angles we know. 180-24-90.

Answer:

Rebecca and Brian each have 40 batteries, making a total of 80 batteries.

Step-by-step explanation:

Rebecca:

Rebecca has 4 packs of batteries, and if each one contains 10 batteries, then she has 40 batteries.

Brian:

Brian also has 4 packs of batteries, each one contains 10 batteries, so he also has 40 batteries.

In total, they have a combined 80 batteries.  hope this helps ;)

Answer:

[tex]4\frac{1}{5} cups[/tex]

Step-by-step explanation:

Let's start by setting up a ratio for the recipe.

First, rewrite 2 and 4/5 as an improper fraction.

[tex]2\frac{4}{5} = \frac{14}{5}[/tex]

We know that for every 2/3 cup of flour, we need 14/5 cups of sugar. So, our ratio will be:

[tex]\frac{2}{3} :\frac{14}{5}[/tex]

We want to find how many cups of sugar we'd need for 1 cup of flour. Let s represent the cups of sugar. Let's set up another ratio (flour to sugar):

[tex]1:s[/tex]

Now, since you're following the same recipe, let's set the ratios equal to make a proportion, like so:

[tex]\frac{2}{3} :\frac{14}{5} =1:s[/tex]

Multiply the means and extremes, set their products equal, and solve.

[tex]\frac{2}{3}s=\frac{14}{5}*1=\\s=\frac{3}{2} *\frac{14}{5} =\\s=\frac{21}{5}[/tex]

Let's turn 21/5 into a mixed number.

[tex]\frac{21}{5} =4\frac{1}{5}[/tex]

So, if you used one cup of flour, you would need [tex]4\frac{1}{5}[/tex] cups of sugar.

Applying the side-splitter theorem, the value of x in the image given is calculated as: x = 5.

The Side-Splitter Theorem states that if a line is drawn parallel to one side of a triangle and intersects the other two sides, the ratio of the length of the two segments of the divided sides is equal to the ratio of the lengths of the sides that form the two smaller triangles.

Using this theorem, we van apply it to solve for x in the image given:

24x/(24x - 50) = 84/49

Solve for x:

24x(49) = 84(24x - 50)

1,176x = 2,016x - 4,200

1176x - 2016x = -4200

-840x = -4,200

x = -4200/-840

x = 5

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The number of outcomes that are in the sample space = 20

The number of outcomes that are in the event = 5

To calculate the probability of an event, the formula that should be used is given as follows;

Probability = possible event/sample space.

possible outcome = 5

sample space = 20

Probability = 5/20 = 1/4

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Answer:

Step-by-step explanation:

Firms 1's structure is in the form of the cylinder. So the formula used for the calculation of the enclosed space or volume of the cylinder is:

Volume of the cylinder = πr²h               .........(i)

where r = radius of the structure

Diameter(d) = 70ft

Given r = 70/2 = 35ft

h = Height of the structure

Given h = 60ft

By substituting the values of radius (r) and height (h) in equation (i), we get

V = π(35)²(60)ft³

V = 3.14(35)(60)ft³

V = 6597.345ft³

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Six and forty-seven thousandths.

or six point zero four seven.

the answer depends on what you have to write.

Hope this helps!

Answer: A Rectangular prism 

a. The difference between the high and the low prices on October 20 was $3.33.

b. The actual volume of Discovery Group shares posted on October 27 was 23,600.

c. The closing price for Discovery Group on October 19 was $38.50

The percentage decrease is calculated below as follows:

closing price on October 19 = $38.50

the opening price on October 20 = $37.22

the percentage decrease in prices = (37.22 - 38.50) / 38.50

the percentage decrease in prices = -3.33% to the nearest hundredth

e. The net change =  $32.00 - $38.50

The net change = -$6.50.

The percentage change = (-6.50 / 38.50) * 100

The percentage change  = -16.9% to the nearest tenth percent

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The smallest rational number among all the given numbers is equal to 0.2345678.

The rational number are equal to,

-√5 , (1/4), √25 , -√27 , 0.2345678

First simplify each of the given numbers we have,

√5 is an irrational number,

so it is not rational.

1/4 is a rational number.

√25 = 5,

which is a rational number.

-√27 = -3√3,

which is an irrational number, so it is not rational.

0.2345678 is a rational number.

Arrange the rational number in ascending order to get the smallest rational number .

Value of 1/4 = 0.25

0.2345678 < 0.25 < 5

Therefore, the smallest rational number among the given options is 0.2345678.

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A polygon with n sides is simply referred to as an n-gon.

A polygon with n sides is simply referred to as an n-gon. This naming convention allows for any polygon to be easily identified based on the number of sides it has, without the need for a specific name for every possible number of sides.

For example, a polygon with 3 sides is called a triangle, a polygon with 4 sides is called a quadrilateral, while a polygon with 5 sides is called a pentagon. However, for polygons with sides greater than 12, the names become less commonly used, and n-gon is often used instead as a general term to describe any polygon with n number of sides.

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A polygon with a number of sides, n, that does not have a special name is typically referred to as an "n-gon".

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges. Vertex or corners refer to the intersection of two line segments, where an angle is created. Having three sides makes a triangle a polygon. A circle is a plane figure as well, but it isn't regarded as a polygon because it's curved and lacks sides and angles. So, while all polygons are two-dimensional shapes, not all two-dimensional figures are polygons.

For example, a polygon with 5 sides would be called a pentagon, but a polygon with 7 sides would simply be called a heptagon or a 7-gon.

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a) i) The pressure on the ground by snowshoe hare is 0.07 N/cm².

ii) The pressure on the ground by European hare is 0.15 N/cm².

b) The snowshoe hare is suited to living in snow because it has a larger surface area of feet.

a) The pressure on the ground can be calculated by dividing the force on the ground due to weight by the total surface area of the feet.

i) For the snowshoe hare, the pressure on the ground is:

Pressure = Force on ground / Total surface area of feet

Pressure = 14 N / 200 cm²

Pressure = 0.07 N/cm²

ii) For the European hare, the pressure on the ground is:

Pressure = Force on ground / Total surface area of feet

Pressure = 38 N / 250 cm²

Pressure = 0.15 N/cm²

b) The snowshoe hare is suited to living in snow because it has a larger surface area of feet than the European hare and exerts less pressure on the ground. This allows the snowshoe hare to move more easily over the snow without sinking.

Additionally, the snowshoe hare has fur on the soles of its feet, which provides additional insulation against the cold snow. These adaptations help the snowshoe hare survive in its snowy environment by allowing it to move and find food more easily.

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The point on the number line that represents the amount of liquid each beaker will contain after the liquid has been distributed among the 4 beakers is the option B

(B) Point Bi

A number line is a line that consists of numbers marked at intervals, which indicates quantities, and can be used for numerical operations.

The amount of liquid in the each of the four beakers are;

1/8, 1/8, 6/8, 6/8

The sum of the liquid in the four beakers is therefore;

1/8 + 1/8 + 6/8 + 6/8 = (1 + 1 + 6 + 6)/8 = 14/8

When the same amount of liquid are in each beaker, we get;

The point on the number line corresponding to the point 3.5/8 is the point B, therefore, the correct option is the option B

(B) Option B

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Step-by-step explanation:

To find the number that is 175% of 31, we can use the following formula:

175% of X = 31

Mathematically, we can represent 175% as 1.75 (since percentage is a ratio out of 100).

So, the equation becomes:

1.75 * X = 31

To solve for X, we divide both sides of the equation by 1.75:

X = 31 / 1.75

Using a calculator, we can evaluate the right-hand side to find the value of X:

X ≈ 17.714

So, 175% of approximately 17.714 is equal to 31.

Answer:

17.714

Step-by-step explanation: