Your professor gives a true/false quiz with 10 questions. The minimum score required to pass is 60% correct. You were too busy to study for the quiz, so you just randomly guess on each question. Let X be the number of questions you guess correctly. Theoretically, how many questions should you expect to get correct?

The velocity when the object hits the ground is 4.025 ft/s. The answer is: C) 0 feet per second.

If an object is dropped from the top of a building, its position in feet above the ground is given by s(t)=−8t^2+288, where t is the time in seconds since it was dropped.  Given that an object is dropped from the top of a building,

then its initial velocity, u = 0 (since it was dropped and not thrown). We want to find the velocity when the object hits the ground, i.e., the time it takes the object to reach the ground. We know that the position of the object when it reaches the ground is s(t) = 0.

Therefore:−8t^2+288 = 0Solving for t, we get:−8t^2 = −288t^2 = 36t = sqrt(36) = ±6 sSince time cannot be negative, t = 6 s. Then the final velocity at impact, v, can be calculated as follows:v = u + at + s/v = 0 + (-32.2)(6) + (-8(6)² + 288)/v = -193.2 + (-288 + 288)/v = -193.2 + 0/v = -193.2/v = -193.2/-48v = 4.025 (rounded to three decimal places)

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The value of the volume of the given prism is 392 cm³

We can calculate the volume of the prism in the following way,

We know the dimensions of the different sides of the prism

Considering the given values we get the following figure of the prism

We will now calculate the volume of the prism using these dimensions

Prism volumes may be calculated by multiplying the area of the base by

B = 1/2 * h(b1+b2), where B is the prism's base area, and H is its height.

Substituting the given values we get,

B = 1/2 * 4 * (2 + 5)

B = 14 cm is the area of the base of the prism

Now calculate the volume of the prism,

The volume of the prism = height * area of the base

volume = 8 * {(5 * 7) + 14}

volume = 8 * {35 + 14}

volume = 8 * 49

volume = 392 cm³

Therefore the volume of the pentagonal-based prism is 392 cm³

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The cube root of 60 is 3.87 approximately.

Step by step solution:

We can calculate the cube root by Halley's method:

The  formula is \(\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))\)

where,

a = number whose cube root is being calculated

x = integer guess of its cube root.

Here a = 60,

Suppose x as 3

[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]

⇒ x = 3

Therefore,

∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87

⇒ ∛60 ≈ 3.87

Therefore, the cube root of 60 is 3.87 approximately.

Here ,  ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.

Therefore, the value of the cube root of 60 is an irrational number.

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Answer:

1.900 2(i)1260 (ii)9 3.20 4.80 5.36 6(i)540 (ii)100

Step-by-step explanation:

1.(7-2)*180

=5*180

=900

2(a)(i) (9-2)*180

          =7*180

          =1260

     (ii) 9

3 360/x=18

          x=20

4 (5-2)*180

=3*180

=540

2y+y+y+110+110=540

                     4y=320

                       y=80

5 360/x=30

          x=36

6(i) (5-2)*180

=3*180

=540

  (ii)x+95+115+115+115=540

                                 x=100

The factor of the \(18x^{2} -21x-15\) will be 3(3x-5)(2x+1).

Given quadratic equation is \(18x^{2} -21x-15\)

By taking 3 common from whole of the equation it becomes.

\(3(6x^{2} -7x-5)\)

now by factorization equation will be.

\(3(6x^{2} -10x+3x-5)\)

3[(2x(3x-5)+1(3x-5)]

Taking (3x-5) common from whole equation it will become

3(3x-5)(2x+1).

Hence the factor of the \(18x^{2} -21x-15\) will be 3(3x-5)(2x+1).

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Given:

Number of white roses = 4

Number of red roses = 8

To find:

The ratio of the number of red roses to the number of white roses.

Solution:

Using the given information, the ratio of the number of red roses to the number of white roses is

\(\text{Required ratio}=\dfrac{\text{Number of red roses}}{\text{Number of white roses}}\)

\(\text{Required ratio}=\dfrac{8}{4}\)

\(\text{Required ratio}=\dfrac{2}{1}\)

\(\text{Required ratio}=2:1\)

Therefore, the required ratio is 2:1.

Answer:

If you mean in total if all of it then 245

Answer:

The regular costs 11 dollars each while the deluxe cost 23 each.

Step-by-step explanation:

You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.

A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

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Answer:

0.96

Step-by-step explanation:

I know that 24 x 4 = 96, then you just put a zero in front, making 0.96

Hope this helped

Answer:

0.96

Step-by-step explanation:

slope = 1/2,  y intercept = 3

==============================================================

Work Shown:

Pick any two points you want on the line.

I'll pick the two points (0,3) which is the y intercept and also the point (2,4).

------

Find the slope of the line through (x1,y1) = (0,3) and (x2,y2) = (2,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 3)/(2 - 0)

m = 1/2 is the slope

slope = rise/run = 1/2

rise/run = 1/2 means rise = 1 and run = 2.

This means we go up 1 unit each time we move to the right 2 units.

-----

Since the slope is m = 1/2 and the y intercept is b = 3, we can say

y = mx+b

y = (1/2)x+3

this is the same as y = 0.5x+3 since 1/2 = 0.5

Step-by-step explanation:

the scientific name of a pine tree is genus pinus

The solution to the given differential equation as required is; y = √(x² + 4).

As evident in the task content;

dy / dx = x / y, y(0) = -2

Therefore, we have that;

dy (y) = dx (x)

By integration of both sides indefinitely;

y² / 2 = x²/2 + C

y² = x² + 2c

y = √(x² + 2c)

Hence, using the initial conditions;

-2 = √(0² + 2c)

-2 = √2c

2c = 4

c = 2.

Hence, the required solution of the differential equation as given is; y = √(x² + 4) since c = 2.

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Answer:

2.5

Step-by-step explanation

Pi R squared

radius is half diameter, so .9

Square the .9

Multiple that to 3.142

Answer: -12 + (4/5) + 31 = 18.2

The minimum possible number of handshakes would occur if each person only shakes hands with two other people. In this case, the first person would shake hands with the second and third person, the second person would shake hands with the first and fourth person, the third person would shake hands with the first and fifth person, and so on. This pattern would continue until the 22nd person shakes hands with the 21st and 23rd person, and the 23rd person shakes hands with the 22nd and 21st person. Therefore, the minimum possible number of handshakes would be (23-1) or 22 handshakes.
Hi! To find the minimum possible number of handshakes among the 23 people attending the party, we need to ensure that each person shakes hands with at least two other people. Here's a step-by-step explanation:

1. Have the first person shake hands with two other people. This results in 2 handshakes.
2. For each subsequent person, have them shake hands with the two people that the previous person shook hands with.

Following this pattern, the first person will have 2 handshakes, and the remaining 22 people will each contribute 1 additional handshake, making a total of 22 handshakes.

So, the minimum possible number of handshakes among the 23 people at the party is 22 handshakes.

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Step-by-step explanation:

3x+3=12

3x=12-3

3x=9

3÷3=1

9÷3=3

x=3.

Answer:

Step-by-step explanation:

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Answer:

6

Step-by-step explanation:

10⁰=1

9⁰=1

7⁰=1

5⁰=1

3⁰=1

1¹⁰⁰=1

so,

10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰=1+1+1+1+1+1=6

Answer:

6

Step-by-step explanation:

We are working with exponents

Any number to the power of 0 is 1

a^0 = 1

1 to a power is 1

10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰​

1 + 1 + 1 + 1 + 1 + 1

6

a. The expression for the price of the phone last month, after a 10% increase, is 1.1c.

b. The expression for the price of the phone this month, after a 10% decrease, is 0.9(1.1c).

c. No, the price of the phone this month is not the same as it was two months ago because it has undergone changes in both the previous month and the current month.

a. To calculate the price of the phone last month after a 10% increase, we multiply the original price c by 1.1. This can be expressed as 1.1c.

b. To calculate the price of the phone this month after a 10% decrease, we multiply the price of the phone last month (1.1c) by 0.9. This accounts for the 10% reduction in price. Therefore, the expression for the price of the phone this month is 0.9(1.1c).

c. The price of the phone this month is not the same as it was two months ago. In the previous month, the price increased by 10%, and in the current month, it decreased by 10%. These changes in price indicate that the price of the phone has fluctuated over the two-month period. The expression for the price this month, 0.9(1.1c), shows that the current price is less than the price two months ago (c) due to the decrease in price. Thus, the price has not remained the same over the two-month period.

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The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.

Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.

To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:

f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...

where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.

To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.

To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:

f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }

where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).

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Answer:

(x + 2, y - 6)

Step-by-step explanation:

When you go right or up it is in the positive.

When you go left or down it is in the negatives.

Answer:

[see below]

Step-by-step explanation:

Two units to the right is adding 2 together to the x value.

6 units down is subtracting 6 from the y-value.

The rule should be:

\((x,y)\rightarrow(x+2,y-6)\)

Hope this helps.

- The distribution of the number of machines out of action at a given time is Poisson(2).  - The average time an out-of-action machine has to spend  follows an Exponential distribution with a mean of 5 minutes.

Given that each machine suffers breakdown at an average rate of 2 per hour, we can model the breakdown process as a Poisson distribution with a rate parameter λ = 2.

The number of machines out of action at a given time follows a Poisson distribution. Let's denote this random variable as X.

X ~ Poisson(λ), where λ is the rate parameter.

For the given scenario, λ is the average number of breakdowns per hour, which is 2.

To find the average time an out-of-action machine has to spend waiting for the repairs to start, we need to consider the following:

When n > 2 machines are out of order, (n - 2) machines have to wait until a serviceman is free.

Once a serviceman starts work on a machine, the time to complete the repair follows an exponential distribution with a mean of 5 minutes.

Let's denote the random variable Y as the time spent waiting for repairs to start on an out-of-action machine:

Y ~ Exponential(1/5), where 1/5 is the rate parameter (μ) representing the mean repair time of 5 minutes.

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Answer:

there are 276 guests

Step-by-step explanation:

add dem all up = 276

Answer:

The answer to this is 3(2n-9)

The estimated value of how much the drug will lower a typical patient's systolic blood pressure is between 67.147 mmHg and 81.453 mmHg with a 95% confidence level.

The drug's effectiveness is being investigated, with a focus on how much the blood pressure will decrease. The experimenter discovered that the typical reduction in systolic blood pressure was 74.3, with a sample size of 20 and a standard deviation of 15.3. It is required to determine how much the drug will decrease a typical patient's systolic blood pressure, using a 95% confidence level. Since the sample size is greater than 30, the standard normal distribution is used for estimation.

To estimate how much the drug will lower the typical patient's systolic blood pressure, we must first calculate the standard error of the mean and the margin of error. The formula for calculating the standard error of the mean is:

Standard error of the mean = σ/√n

σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get:

Standard error of the mean = 15.3/√20

Standard error of the mean = 3.42

Next, to calculate the margin of error, we can use the t-distribution with a 95% confidence interval and 19 degrees of freedom.

This is because the sample size is 20, and we lose one degree of freedom for estimating the mean.
t-value for 95% confidence interval with 19 degrees of freedom = 2.093

Margin of error = t-value × standard error of the mean

Margin of error = 2.093 × 3.42

Margin of error = 7.153

The margin of error means that we can be 95% certain that the true population mean lies within 74.3 ± 7.153 mmHg.
Hence, we can conclude that the drug will lower a typical patient's systolic blood pressure by between 67.147 mm Hg and 81.453 mmHg with a 95% confidence level.

Thus, the estimated value of how much the drug will lower a typical patient's systolic blood pressure is between 67.147 mmHg and 81.453 mmHg with a 95% confidence level.

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Answer:

???

Step-by-step explanation:

inadequate info a pic is needed :)

Answer:

50%

Step-by-step explanation:

real answer

How can we tell? Look at the vertical lines inside the box. This is where the median is located. For movie A, the inner vertical line is somewhere between 30 and 40 (perhaps 35 or so). So this is the median for movie A. Meanwhile, the median for movie B is somewhere between 40 and 50. I'd say maybe 46 or 47 as its a bit higher than the halfway point.

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Extra info: