7. It costs Alex $4,137 to build 30 calculators and $4,627 to build 38 calculators. Find
the cost function.
(pls answer)

Answer:

C) I THINK

Step-by-step explanation:

(a) The probability that exactly two of the four components last longer than 1,000 hours is 0.3679

(b) The probability that the subsystem operates longer than 1,000 hours is 0.8130

(a) Let X be the number of components that last longer than 1,000 hours. Then X follows a binomial distribution with n = 4 and p = 0.55 (the probability that a component lasts longer than 1,000 hours is 1 - 0.45 = 0.55). The probability that exactly two of the four components last longer than 1,000 hours is

P(X = 2) = (4 choose 2) × 0.55^2 × 0.45^2 = 6 × 0.3025 × 0.2025 = 0.3679

So the probability that exactly two of the four components last longer than 1,000 hours is 0.3679 (rounded to four decimal places).

(b) The subsystem will operate if any two of the four components are operating. This means that the subsystem will fail if either none or only one component is operating. Let Y be the number of components that are operating. Then Y follows a binomial distribution with n = 4 and p = 0.45 (the probability that a component fails in less than 1,000 hours is 0.45). The probability that none of the four components are operating is

P(Y = 0) = 0.45^4 = 0.0081

The probability that exactly one of the four components is operating is

P(Y = 1) = (4 choose 1) × 0.55 × 0.45^3 = 0.1789

Therefore, the probability that the subsystem fails is

P(failure) = P(Y = 0) + P(Y = 1) = 0.0081 + 0.1789 = 0.1870

So the probability that the subsystem operates longer than 1,000 hours is

P(success) = 1 - P(failure) = 1 - 0.1870 = 0.8130 (rounded to four decimal places).

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Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Speed can be defined as the rate of change in the position of an object. It is given as,

\(Speed = \dfrac{Distance}{Time}\)

Given to us

Distance traveled, f(x) = 2x+26

Time, g(x) = x − 1

As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.

We need to find f divided by g of 5, which is the speed of the flock,

\(Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}\)

\(Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}\)

\(Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour\)

Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

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Answer:

a

Step-by-step explanation:

I hope this helps you please mark brainly

Answer:

For all numbers b and c such that the product of c and 3 is b which of the following expression represents the sum of c and 3 in terms of b??A) ...

1 answer

·

13 votes:

Hope this will be helpful to you.If really then mark it as brainleist.......

Step-by-step explanation:

Answer:

317 is the finally awnser

Answer:670

Step-by-step explanation:

200 + 500 - 30 =

700-30

670

Answer:

60°

Step-by-step explanation:

Data obtained from the question include the following:

Angle H =.?

Opposite = 2√21

Adjacent = 2√7

The value of angle H can be obtained as follow

Tan H = Opposite /Adjacent

Tan H = 2√21 / 2√7

Tan H = √(21 / 7)

Tan H = √3

Tak the inverse of Tan.

H = Tan¯¹ √3

H = 60

Therefore, the value of angle H is 60°

Answer:

good night

sweet dreams

Step-by-step explanation:

3200 = 100%

2848 = ?%

2848 ÷ 3200 then × 100

= 89%

so 2848 = 89%

Answer:

89%

Step-by-step explanation:

3200/2848=0.89

To turn into a percentage multiply by 100

So 0.89*100=89%

The equilibrium point is (60, 2400), the consumer surplus at the equilibrium point is $48,000, and the producer surplus at the equilibrium point is $36,000.

(a) The equilibrium point occurs when the quantity demanded by consumers equals the quantity supplied by producers. To find this point, we need to set the demand function equal to the supply function and solve for x.

Demand function: D(x) = 3000 - 10x

Supply function: S(x) = 900 + 25x

Setting D(x) equal to S(x):

3000 - 10x = 900 + 25x

Simplifying the equation:

35x = 2100

x = 60

Therefore, the equilibrium point occurs at x = 60.

(b) Consumer surplus at the equilibrium point can be found by calculating the area between the demand curve and the equilibrium price. Consumer surplus represents the difference between the price consumers are willing to pay and the actual market price.

At the equilibrium point, x = 60. Plugging this value into the demand function:

D(60) = 3000 - 10(60)

D(60) = 3000 - 600

D(60) = 2400

The equilibrium price is $2400 per unit. To find the consumer surplus, we need to calculate the area of the triangle formed between the demand curve and the equilibrium price.

Consumer surplus = (1/2) * (2400 - 900) * 60

Consumer surplus = $48,000

(c) Producer surplus at the equilibrium point represents the difference between the actual market price and the minimum price at which producers are willing to sell their goods.

To find the producer surplus, we need to calculate the area between the supply curve and the equilibrium price.

At the equilibrium point, x = 60. Plugging this value into the supply function:

S(60) = 900 + 25(60)

S(60) = 900 + 1500

S(60) = 2400

The equilibrium price is $2400 per unit. To find the producer surplus, we need to calculate the area of the triangle formed between the supply curve and the equilibrium price.

Producer surplus = (1/2) * (2400 - 900) * 60

Producer surplus = $36,000

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Answer:

A. False

B.False

C.True

D.True

I'm not completely sure but that's what I got.

Answer: 2.2

Step-by-step explanation: twenty percent of 11 is 2.2

Answer:

Step-by-step explanation:

i think the answer could be one certain number in particularly advance. ur welcome

Therefore, to make the game fair, you should earn a profit of $3 when you win.

To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.

In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)

Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:

0 = (0.25 * P) + (0.75 * (-1))

Simplifying the equation:

0 = 0.25P - 0.75

0.75 = 0.25P

P = 0.75 / 0.25

P = 3

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Answer:

d

Step-by-step explanation:

its the correct answer

Hope this helps:)

P(X ≤ 5) is 0.5102, b) P(4.5 ≤ X ≤ 5) is 0.09694, c) P(X>5) is 0.3827, d) the median is 4.9497, e) the density function is 0 , x<0   f(x) = 2x/49 , 0 ≤ x ≤7       0, 7≤ x       f) the variance and standard deviation are 2.7222 and 1.64991 respectively, while h) E(h(x)) is 24.5.

Here it is given that the CDF of the distribution is

0 , x<0

F(x) = x²/49 , 0 ≤ x ≤ 7

1, 7≤ x

a)

We need to find P(X ≤ 5)

Since we will have to sum up all values from (X=0) to  P(X ≤ 5)

This implies we need to find F(X=5)

This can be easily found in the formulae where we get

F(X=5) = 5²/49

= 0.5102

b) To calculate P(4.5 ≤ X ≤ 5)

We can calculate the following by subtracting F(X=4.5) from F(X=5)

=  25/29 - 4.5²/49

= 4.75/49

= 0.09694

c)

P(X>5.5)

= 1 - P(X≤5.5)

= 1 - F(X = 5.5)

= 1 - 5.5²/49

= 0.3827

d)

Let the median be x.

A median divides the cumulative frequency into 2 equal halves.

Therefore, the value of F(X=x) = 0.5

=> x²/49 = 0.5

or, x² = 24.5

or, x = 4.9497

e)

To obtain the density function, f(x0 we must differentiate the cumulative distribution function with respect to x.

Doing so will give us

0 , x<0

f(x) = 2x/49 , 0 ≤ x ≤ 7

0, 7≤ x

f)

Since f(x) is clearly a continuous probability distribution function

E(X) = ∫xf(x)dx with limits 0 to 7

= ∫2x²/49dx with limits 0 to 7

= 2x³/147 with limits 0 to 7

Applying the limits gives us

686/147

= 4.6667

g)

V(X) = variance of f(x)

= E(X²) - E²(X)

E(X²)

= ∫2x³/49dx with limits 0 and 7

= x⁴/98 with limits 0 to 7

= 24.5

Hence

V(X) = 24.5 - 21.7778

= 2.7222

σ(x) = √V(X)

= 1.64991

h)

Now here instead of being charged X amount i.e x²/49, the borrower is being charged X² amount which is (x²/49)².

We need to compute the expected charge E[h(X)]

= E(X²)

This we already know is 24.5

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Answer:

(x + 1)(x + 2) is divisible by 3.

Step-by-step explanation:

Assume that x is not divisible by 3. This means that x can be expressed as x = 3k + r, where k is an integer and r is the remainder when x is divided by 3. Since x is not divisible by 3, the remainder r must be either 1 or 2.

Case 1: r = 1

If r = 1, then x = 3k + 1. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 1 + 1)(3k + 1 + 2)

= (3k + 2)(3k + 3)

= 3(3k^2 + 5k + 2)

We can see that (x + 1)(x + 2) is divisible by 3.

Case 2: r = 2

If r = 2, then x = 3k + 2. Now let's consider (x + 1)(x + 2):

(x + 1)(x + 2) = (3k + 2 + 1)(3k + 2 + 2)

= (3k + 3)(3k + 4)

= 3(3k^2 + 7k + 4)

We can see that (x + 1)(x + 2) is divisible by 3.

Hence, the statement is proven.

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Answer:

A. You need to draw a straight line that increases from left to right. Try and get the same amount of plots on the top and bottom of the line and go through one or two of the plots. Don't connect the dots, though.

B. This scatter plot demonstrates a positive association between a person's height and weight because the trendline increases from left to right. According to this data, as weight increases, so does height. The more someone weighs, the more likely they are to be tall.

The correct inequality that represents the given situation is: d. |x - 690| ≤ 6.

The situation states that the bags of golf balls should contain 690 golf balls, plus or minus 6 golf balls. This means that the actual number of golf balls (represented by x) should be within a range of 6 golf balls above or below 690.

To represent this in an inequality, we need to express the absolute value of the difference between x and 690. The absolute value ensures that the result is always positive and represents the distance between x and 690, regardless of whether x is greater or smaller than 690.

In the given options, we can see that option (d) |x - 690| ≤ 6 correctly represents this situation. It states that the absolute value of the difference between x and 690 is less than or equal to 6. This means that x can be within 6 golf balls above or below 690.

Options (a), (b), and (c) do not correctly represent the given situation. Option (a) |x + 6| ≥ 690 represents a range of x values that are at least 684 (690 - 6) or greater, which is not what we want. Option (b) |x - 6| ≤ 690 represents a range of x values that are at most 696 (690 + 6) or smaller, which is also not what we want. Option (c) |x + 690| ≥ 6 represents a range of x values that are at least -684 (6 - 690) or greater, which is not applicable in this context.

Therefore, the correct inequality that represents the situation is option (d) |x - 690| ≤ 6.

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Given the sets C and D as subsets of the universal set U=(2, 3, 4, 7, 8, 9}(a) (Cn D)' = {2, 7, 8, 9}.

(b) C'UD = {2, 7, 8, 3, 4}.

(a) To find (Cn D)', we first calculate the intersection of C and D, which is {3, 4}. Taking the complement of this intersection with respect to the universal set U gives us the elements that are in U but not in the intersection of C and D. Therefore, (Cn D)' = {2, 7, 8, 9}.

(b) To find C'UD, we first calculate the complement of C, which includes all the elements in U that are not in C. The complement of C with respect to U is {2, 7, 8}. Next, we take the union of this complement with D, which combines the elements from both sets without duplication. Therefore, C'UD = {2, 7, 8, 3, 4}.

In roster form, the answers are:

(a) (Cn D)' = {2, 7, 8, 9}.

(b) C'UD = {2, 7, 8, 3, 4}.

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f = 46 cm

What is Convex Mirror?

A convex mirror, diverging mirror, or fisheye mirror is a curved mirror in which the reflecting surface bulges toward the light source. Convex mirrors reflect light outwards, so they are not used to focus light.... The image is smaller than the object, but gets larger as the object gets closer to the mirror.

To find the radius of curvature of a convex mirror, we can use the mirror formula:

1/f = 1/v - 1/u

where f is the focal length of the mirror, v is the image distance, and u is the object distance.

In this case, the image distance (v) is given as 46 cm, and since the object is very far away, we can consider the object distance (u) to be close to infinity. Therefore, we can approximate 1/u as 0.

After plugging in the values, we have:

1/f = 1/46 - 0,

1/f = 1/46,

f = 46 cm.

The radius of curvature of the convex mirror is therefore 46 cm.

To draw a ray diagram showing this situation, I'll describe the steps:

Draw a horizontal line representing the major axis of the mirror.

Mark a point on the major axis slightly above the line that will represent the top of the mirror.

Draw a line from the object (car) above the mirror parallel to the principal axis and extend it until it intersects the principal axis after reflection. This ray represents the incident ray.

Draw a line from the object through the center of curvature located at a distance equal to the radius of curvature (46 cm) from the top of the mirror. This ray passes through the center of curvature and is reflected back along itself.

Draw a line from the subject towards the top of the mirror and extend it after the reflection. After reflection, this ray passes through the focus (which is half the radius of curvature from the vertex).

The intersection of the elongated reflected rays gives the location of the image. In this case, the image will be virtual, upright and located behind the mirror.

Be sure to label the incident ray, reflected rays, image, object distance (u), and image distance (v) on the diagram.

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Answer:

A and C

Step-by-step explanation:

A) Two squares with the same side lengths are always congruent

C) Two rhombuses with the same side lengths are always congruent.

Two geometric shapes are called congruent if they have the same size and the same shape.

Therefore the true statements are A and C.

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Answer:

6

Step-by-step explanation:

Answer:

he should have 6

Step-by-step explanation:

Answer: 409.6

Step-by-step explanation:

Let the total number of sixth grade students be represented by x.

We are further told that 5/8 of the sixth grade students at clearview middle school buy their lunch which was about 256 students. We can represent this into an equation as:

5/8 × x = 256

0.625x = 256

x = 256/0.625

x = 409.6

Answer: y=28

Step-by-step explanation:

The coordinates of the foci of the ellipse given by 4x² + y² = 64 are (0, 0).

To find the coordinates of the foci of the ellipse given by the equation 4x² + y² = 64, we can compare it to the standard form of an ellipse:

(x²/a²) + (y²/b²) = 1

In this case, the equation 4x² + y² = 64 can be rewritten as:

x²/(8²) + y²/(8²) = 1

Comparing the equation to the standard form, we find that a = 8 and b = 8. The foci of the ellipse can be calculated using the formula:

c = sqrt(a² - b²)

For our ellipse, c = sqrt(8² - 8²) = sqrt(64 - 64) = 0.

Since c = 0, the foci coincide with the center of the ellipse. Thus, the coordinates of the foci are the same as the center of the ellipse.

Therefore, the coordinates of the foci of the ellipse given by 4x² + y² = 64 are (0, 0).

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Answer: Cant help I'm in 7th grade

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

Answer:

40 percent

Step-by-step explanation: