Linda enrolls for 10 credit hours for each of two semesters at a cost of $550 per credit-hour (tuition and fees) in addition, textbooks cost $350 per semester. round your answer to the nearest dollar.
A) $488 B) $150 C) $1463 D) $975

Answer : 1.2 (1 minute and 20 seconds)

Step-by-step explanation:

5 divided by 6: 1.2

Lin runs 1 lap every 1.2 minutes (1 minute and 20 seconds)

Answer:  C. Equal to

Step-by-step explanation:

The standard deviation is written as:

Sx = √( ∑(xₙ - x)^2/(n-1))

Where xₙ are the values of the data set, n is the number of data points and x is the mean of the data set.

Now, if we add a constant c to all the terms in our data set we will have:

(i will use the ' to denote the transformed data)

xₙ' are now xₙ + c.

And the new mean will be:

x' = ( (x₁ + c) + (x₂ + c) + .... + (xₙ + c))/n = (c*n + (x₁ + x₂ + ..))/n = c + (x₁ + x₂ +...)/n

x' = c + x

Then the new standard deviation will be:

Sx' =√( ∑(xₙ' - x')^2/(n-1))

Sx' = √( ∑((xₙ+c) - (x +c))^2/(n-1)) = √( ∑(xₙ - x)^2/(n-1)) = Sx

So the standard deviation does not change.

The correct option is C.

Answer:

0.0995076923

Step-by-step explanation:

The amount of money in account A is decreasing by 8% per year.

The account that recorded a greater percentage change in amount of money over the previous year is account B.

From the information, the amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 9,628(0.92)x

Therefore, this shows a decrease and the percentage will be:

= 1 - 0.92

= 0.08

= 8%

The account that recorded a greater percentage change will be:

Account B = (8,972 - 8,074.80) / 8,972 × 100

= 10%

Therefore, B has a higher percentage.

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Answer:

2/5 (-3/7) = -6/35 ≅ -0.1714286

Step-by-step explanation:

and that’s how you do it

Add: 2/5 + 3/7 = 2 · 7/5 · 7 + 3 · 5/7 · 5 = 14/35 + 15/35 = 14 + 15/35 = 29/35.

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 7) = 35. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 7 = 35. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - two fifths plus three sevenths is twenty-nine thirty-fifths.

Answer:

a i think

GIVE ME BRAINLIESTpls not trynna be demanding

Step-by-step explanation:

but pls can i have brainliest

The number which is not the part of the solution set to the inequality below is 27.

Given inequality is,

w - 10 ≤ 16

WE have to find the solution for the inequality.

Adding both side of the inequality with 10,

w - 10 + 10 ≤ 16 + 10

w ≤ 26

So the solution of the inequality consists of all the points which are less than or equal to 26.

So it contains 11, 15 and 26.

It does not contain 27.

Hence the solution does not contain 27.

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Answer:

y= -10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

-17+y=-27

y=-27+17

y=-10

Answer:

A = 0

__________________________________________________________

Although the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.

0 ÷ a(0) = 0

a(0) ÷ a(0) = 0

__________________________________________________________

Ask in the comments.

Answer:

her salary will increase by $ 145 for every week

Step-by-step explanation:

x=1st paycheck (integer).

weekly raise = $ 145.

After completing the 1st week she will get $ (x+145).

Similarly after completing the 2nd week she will get

$ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

Answer: V=πr2h 3

=π·2.52·12.6 3

=82.46681

Step-by-step explanation:

Answer:

6.3/7 or $0.90

Step-by-step explanation:

6.30 = 7

6.3/7 = 1

0.9

Hope this helps!

Answer:

B

Step-by-step explanation:

Set the equation by adding 34 to each side

Use the quadratic formula:  x = -b± \(\sqrt{b^2-4ac} \\\) over 2*a

1 =a

-10 = b

34 =c

Insert these values into the quadratic formula

Answer:h45

Step-by-step explan

The slope of the points will be equal to 1.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise of the line to the run of the line.

Given that the points of the line are (0,0), (1,1), and (2,2). The slope of the line will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 2- 1 ) / ( 2- 1 )

Slope = 1 / 1

Slope = 1

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Answer:

a) $675000

b) $289000 profit,3300 set, $190 per set

c) 3225 set, $272687.5 profit, $192.5 per set

Step-by-step explanation:

a) Revenue R(x) = xp(x) = x(300 - x/30) = 300x - x²/30

The maximum revenue is at R'(x) =0

R'(x) = 300 - 2x/30 = 300 - x/15

But we need to compute R'(x) = 0:

300 - x/15 = 0

x/15 = 300

x = 4500

Also the second derivative of R(x) is given as:

R"(x) = -1/15 < 0 This means that the maximum revenue is at x = 4500. Hence:

R(4500) = 300 (4500) - (4500)²/30 = $675000  

B) Profit P(x) = R(x) - C(x) = 300x - x²/30 - (74000 + 80x) = -x²/30 + 300x - 80x - 74000

P(x) = -x²/30 + 220x - 74000

The maximum revenue is at P'(x) =0

P'(x) = - 2x/30 + 220= -x/15 + 220

But we need to compute P'(x) = 0:

-x/15 + 220 = 0

x/15 = 220

x = 3300

Also the second derivative of P(x) is given as:

P"(x) = -1/15 < 0 This means that the maximum profit is at x = 3300. Hence:

P(3300) =  -(3300)²/30 + 220(3300) - 74000 = $289000  

The price for each set is:

p(3300) = 300 -3300/30 = $190 per set

c) The new cost is:

C(x) = 74000 + 80x + 5x = 74000 + 85x

Profit P(x) = R(x) - C(x) = 300x - x²/30 - (74000 + 85x) = -x²/30 + 300x - 85x - 74000

P(x) = -x²/30 + 215x - 74000

The maximum revenue is at P'(x) =0

P'(x) = - 2x/30 + 215= -x/15 + 215

But we need to compute P'(x) = 0:

-x/15 + 215 = 0

x/15 = 215

x = 3225

Also the second derivative of P(x) is given as:

P"(x) = -1/15 < 0 This means that the maximum profit is at x = 3225. Hence:

P(3225) =  -(3225)²/30 + 215(3225) - 74000 = $272687.5

The money to be charge for each set is:

p(x) = 300 - 3225/30 = $192.5 per set

When taxed $5, the maximum profit is $272687.5

Answer:

b) $289000 profit,3300 set, $190 per set

Answer:5

Step-by-step explanation:

......

Answer:

48.68% probability that managment is unhappy with the number of complaints in the next eight hours.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given time interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that \(\mu = 0.6n\), in which n is the number of hours.

Eight hours:

This means that \(n = 8, \mu = 0.6*8 = 4.8\)

Determine the probability that managment is unhappy with the number of complaints in the next eight hours.

They will be unhappy if they receive five or more complaints.

Either they receive less than five complaints, or they receive at least five. The sum of the probabilities of these events is 1. So

\(P(X < 5) + P(X \geq 5) = 1\)

We want \(P(X \geq 5)\).

Then

\(P(X \geq 1) = 1 - P(X < 5)\)

In which

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)

So

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-4.6}*4.6^{0}}{(0)!} = 0.0101\)

\(P(X = 1) = \frac{e^{-4.6}*4.6^{1}}{(1)!} = 0.0462\)

\(P(X = 2) = \frac{e^{-4.6}*4.6^{2}}{(2)!} = 0.1063\)

\(P(X = 3) = \frac{e^{-4.6}*4.6^{3}}{(3)!} = 0.1631\)

\(P(X = 4) = \frac{e^{-4.6}*4.6^{4}}{(4)!} = 0.1875\)

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0101 + 0.0462 + 0.1063 + 0.1631 + 0.1875 = 0.5132\)

Finally

\(P(X \geq 1) = 1 - P(X < 5) = 1 - 0.5132 = 0.4868\)

48.68% probability that managment is unhappy with the number of complaints in the next eight hours.

The measure of the angle of the straight line is equal to 180 degrees. the measure of the ∠HLI and ∠ILM is equal to the which is 30 degrees. Thus option 4 is the correct option.

An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A geometry called an angle is created when two line segments, lines, or rays intersect.

Given information-

The measure of the angle KLH is 120 degrees.

The image is attached below for the given problem.

The angle of the straight line

The measure of the angle of the straight line is equal to 180 degrees.

The line KLM is a straight line thus the angle of the line KLM is equal to 180 degrees.

The value of the angle ILH is 30 degrees given in the figure.

The value of the angle KLH is given in the question which is equal to 120 degrees. Thus,

∠KLM = ∠ILM + ∠KLH + ∠ILH

Take the angle KLH and the angle ILH on the other side,

∠ILM = ∠KLM - ∠KLH - ∠ILH

∠ILM = 180 - 120 - 30

∠ILM = 30

Thus the measure of the is 30 degrees.

As the measure of the is equal to the which is 30 degrees. Thus option 4 is the correct option.

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Answer:

d. mAngleHLI = mAngleILM

Step-by-step explanation:

trust

Answer: the cost of a similar scientific calculate in 2019 will be $19.01

Step-by-step explanation:

Given that;

in 1970 cost of S.C = $96.50

in 2016 cost of same calculator = $21

In 2019 cost of a similar calculator = ?

Assuming the exponential decay model applies

dN/dt = -λN

we know that λ is the decay constant

⇒ N(t) = N₀e^-λt

N(t) is price at time t year, N₀ is initial price,

so t = 0 in 1970 thus N₀ = 96.50

also t = 46 in 2016 thus N₄₆ = 21

substituting into our initial expression

N(t) = N₀e^-λt

N(46) = N₀e^-λ×46

21 = 96.50e^-46λ ⇒ In 21/96.50 = -46λ

= -1.5250 = - 46λ

λ = -1.5250 / -46

λ = 0.03315

t = 0 in 1970 thus N₀ = 96.50

also t = 49 in 2019 thus N₄₉ = ?

so

using our initial expression again

N(49) = N₀ e^-49λ

= 96.5 × e^ (-49 × 0.03315 )

= 96.5 × 0.197014404

= 19.01189 ≈ 19.01

therefore the cost of a similar scientific calculate in 2019 will be $19.01

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer:

Concept: Unit Measure

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability that a selected component is non-defective is 0.8

This means that \(p = 0.8\)

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287\)

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

\(p = (0.8)^8*0.2 = 0.0336\)

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Answer:

I think it's either A or E sorry if I'm wrong

Using Central Limit Theorem, it is found that the option which best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections is:

The Central Limit Theorem states that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

In this problem:

Hence, the mean and standard error are given by:

\(\mu = p = 0.38\)

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{40}} = 0.076\)

Also approximately normal, hence, option A is correct.

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The 25% of the shaded checker board has pieces on it.

To check that, we need to solve the expression below:

Percent = 100%*(# shaded squares with pieces)/(total # of shaded squares)

There are a total of 32 shaded squares, and in 8 of them we can see pieces, then we can replace these values in the formula above to get:

Percent = 100%*(8/32) = 25%

That is the percent of the shaded checker that has pieces.

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0 = 2c +2.

Subtracting 2 from both sides, we get

0-2 = 2c +2 -2

-2 = 2c

Dividing both sides by 2, we get

-2/2 = 2c/2

-1 =c.

Plugging c=-1 in first equation,

k=2(-1) = -2.

So the answer is -2.

11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

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