How do you find the radius of a circle?

Answers

Answer 1
Divide the diameter by 2
Answer 2

Answer:

Divide the diameter by two

example if the diameter is 25 you divide 25 by 2 to get 12.5 as your radius .


Related Questions

Select the correct answer.
What are the asymptote and the y-intercept of the function shown in the graph?

f(x) = 3(0.2)^x + 2

A. asymptote: y = -2
y-intercept: (0,5)

B. asymptote: y = 2
y-intercept: (0,5)

C. asymptote: y = 2
y-intercept: (0,4)

D. asymptote: y = -2
y-intercept: (0,3)

Answers

Answer:

B

Step-by-step explanation:

The function reaches the y-axis at the point (0,5).

The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.

The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.

Good luck ^^

The equation of the asymptote is y = 2 and the coordinate of the y-intercept will be (0, 5). Then the correct option is B.

What is asymptote?

An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.

The equation of the function is given below.

[tex]\rm f(x) = 3(0.2)^x + 2[/tex]

The asymptote of the function is given as by substituting x as infinity, then the equation of the asymptote will be

[tex]\rm y = 3(0.2)^{\infty} + 2\\\\y = 2[/tex]

Then the y-intercept of the function will be given by substituting y = 0, then the y-intercept will be

y = 3(0.2)⁰ + 2

y = 3 + 2

y = 5

The coordinate of the y-intercept will be (0, 5).

Then the correct option is B.

More about the asymptote link is given below.

https://brainly.com/question/17767511

#SPJ5

Find the value of the expression below
when x =3/4

4x² + 8x - 5

Answers

Answer:

4x² + 8x - 5

= 4(3/4)² + 8(3/4) - 5

= 4 × 9/16 + 24/4 - 5

= 36/16 + 24/4 - 5

= 9/4 + 6 - 5

= 9/4 +1

= 3.25

Step-by-step explanation:

Hope it helps!!

If you give me right answer will cashapp money

Answers

Answer:

x=8

Step-by-step explanation:

The ratio of the sides is 7:14=1:2. So, the ratio of DF:XZ is 1:2. DF=2x-5, and XZ=22. This makes the ratio. 2x-5:22=1:2. That means 2x-5 is half of 22, which is 11. We can solve from there.

2x-5=11Add 5, 2x=16Divide by 2, x=8

Check your work:

2(8)-5=1116-5=1111=11

8. The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 6 hens. Using the table, what is the probability that at
least 2 of the hens will lay eggs on a given day?
4
Number of Eggs
Probability
0
0.000064
1
0.002
2.
0.015
3
0.082
5
0.393
6
?
0.246

Answers

The answer is A hope that helps

Which would be the next step? Does anyone know? Please, help.

Answers

Answer:

∠DAB = ∠DBA

Then AD=DB from above statement

selects a piece of candy and eats it (so it is NOT replaced!) Then selects a piece of candy and eats it. Find the probability of each event

Answers

Question:

There are 30 candies in a box, all identically shaped. 5 are filled with coconut, 10 with caramel, and 15 are solid chocolate.

You randomly select a piece of candy and eat it (so it is NOT replaced!), then select a second piece. Find the probability of each event

(a) The probability of selecting two solid chocolates in a row.

(b) The probability of selecting a caramel and then a coconut candy.

Answer:

[tex](a)[/tex] [tex]P(Chocolates) = \frac{7}{29}[/tex]

[tex](b)[/tex] [tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]

Step-by-step explanation:

Given

[tex]Coconut = 5[/tex]

[tex]Caramel = 10[/tex]

[tex]Chocolate = 15[/tex]

[tex]Total = 30[/tex]

For probabilities without replacement, 1 is subtracted after the first selection.

So, we have:

Solving (a): Two solid chocolates

This is calculated as:

[tex]P(Chocolates) = P(First\ Chocolate) * P(Second\ Chocolate)[/tex]

[tex]P(Chocolates) = \frac{n(Chocolate)}{Total} * \frac{n(Chocolate) - 1}{Total - 1}[/tex]

[tex]P(Chocolates) = \frac{15}{30} * \frac{15 - 1}{30 - 1}[/tex]

[tex]P(Chocolates) = \frac{15}{30} * \frac{14}{29}[/tex]

[tex]P(Chocolates) = \frac{1}{2} * \frac{14}{29}[/tex]

[tex]P(Chocolates) = \frac{7}{29}[/tex]

Solving (a): Caramel and Coconut

This is calculated as:

[tex]P(Caramel\ and\ Coconut) = P(Caramel) * P(Coconut)[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{n(Caramel)}{Total} * \frac{n(Coconut)}{Total - 1}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{30- 1}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{29}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{1}{3} * \frac{5}{29}[/tex]

[tex]P(Caramel\ and\ Coconut) = \frac{5}{87}[/tex]

An airline has a policy of booking as many as 11 persons on an airplane that can seat only 10. (Past studies have revealed that only 86.0% of the booked passengers actually arrive for the flight.) Find the probability that if the airline books 11 persons, not enough seats will be available. Is it unlikely for such an overbooking to occur? The probability that not enough seats will be available is (Round to four decimal places as needed.) Is it unlikely for such an overbooking to occur? A. It is unlikely for such an overbooking to occur, because the probability of the overbooking is less than or equal to than 0.05. B. It is unlikely for such an overbooking to occur, because the probability of the overbooking is greater than 0.05. OC. It is not unlikely for such an overbooking to occur, because the probability of the overbooking is less than or equal to than 0.05. OD. It is not unlikely for such an overbooking to occur, because the probability of the overbooking is greater than 0.05.

Answers

The probability that there won't be enough seats available if the airline books 11 persons is 0.3274. It is not unlikely for such an overbooking to occur because the probability of the overbooking is greater than 0.05.

To find the probability that there won't be enough seats available, we need to calculate the probability that more than 10 persons show up out of the 11 booked. This can be done using the binomial distribution.

The probability of a person showing up for the flight is given as 86.0%, which means the probability of not showing up is 14.0%. Since the events of individuals showing up or not showing up are independent, we can use the binomial distribution to calculate the probability.

Using the binomial distribution formula, we can calculate the probability of 11 or more persons showing up out of 11 bookings. This gives us a probability of 0.3274.

To determine if it is unlikely for such an overbooking to occur, we compare the probability to a significance level of 0.05. If the probability is less than or equal to 0.05, we can consider it unlikely. However, in this case, the probability of 0.3274 is greater than 0.05, indicating that it is not unlikely for such an overbooking to occur.

Therefore, the correct answer is OD. It is not unlikely for such an overbooking to occur, because the probability of the overbooking is greater than 0.05.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The cone below has a radius of 1 inch and height of 4 inches. What is the slant height in inches?

a. √-5

b. √−−17

c. 15

d. 17

Answers

Answer:

Step-by-step explanation:

If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M’?

Answers

Answer:

-8,5

Step-by-step explanation:

8,5 because the "m" is 5 squares down and 8 squares to the right.

A bakery made 55 boxes of rolls. Each box holds 12 rolls. How many rolls were made in all?
Make an equation to represent the problem. Drag numbers and symbols to the lines.
55
12
+
X

Answers

In total 660 rolls were made in all

Construct an equation for a function with a zero at -2 and a double zero at 3.

Answers

Step-by-step explanation:

feeling the compa

Como te amo mucho

The circumference of a circle is 127 cm. What is the area,
in
square centimeters?
Express your answer in terms of Pi.

Answers

A≈ 1283.51
I hope this will help u



A line that includes the points (-2, c) and (-1, 10) has a slope of 2. What is
the value of c?

Answers

Answer:

8

Step-by-step explanation:

m = (Y2-Y1) ÷ (X2- X1) 2 = (10-c) ÷ (-1-(-2)) 2 = (10-c) ÷( 1)2= 10-cc = 10-2c= 8

(-2,c) and (-1,10)

10-c

-1--2

10-c

1

We need the fraction to be 2, or 2/1. The bottom number is 1, so we technically already have the answer. But we still need to plug in a number for c. To get 2, we need to subtract 8 from 10.

So c is 8.

---

hope it helps

sorry my work was a mess

Mikel is trying to save for college expenses. He has a job, but can only afford to put $20 per month aside. He has 4 years until he will need to pay for college. How much will he have saved by the end of 4 years?

Answers

Answer:

960

20 times 12 moths to get 240 then multiply that by 4 years and get 960 .

Step-by-step explanation:

sorry if wrong ]

have a good day /night

may i pleae have a branlliest .

20 x 12=240 x 4 =960

Answer:

960

Step-by-step explanation:

What is the relationship between the values p and q plotted on the number line below?
A. q>P
B. p= q
c. p> q​

Answers

Answer:

A. q>p because, assuming this line starts somewhere after 0, this is positive progression

If 25% of a number is 65 and 60% of the same number is 156, find 35% of that number.

Answers

Answer:

35% of that number is 91.

Step-by-step explanation:

we need to first find 25% of what number equals 65.

65×100÷25 = 260

Then, if you use the same method again, 60% of 260 would be 156.

We know "that" number is 260, and all we need to do is find 35% of it.

35% of 260 = 91

Hope this helped :)

Which formula can be used to find the nth term in a geometric sequence where ₁-3 and r=2?
Oa-3+2(n-1)
O a-3(n-1)+2
O a-3-1-2
Oa-3-2-1

Answers

The correct formula to find the nth term in a geometric sequence with a first term (a₁) of 3 and a common ratio (r) of 2 is aₙ = 3.2^(n-1).The correct answer is option D.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. In this case, the first term (a₁) is 3, and the common ratio (r) is 2.

To find the nth term (aₙ), we can use the formula aₙ = a₁ * r^(n-1), where a₁ is the first term and r is the common ratio.

Plugging in the given values, we get aₙ = 3 * 2^(n-1), which simplifies to aₙ = 3.2^(n-1). Therefore, option D is the correct formula.

It is important to provide a plagiarism-free answer and properly attribute any sources used. The explanation provided above is a common mathematical formula for finding the nth term in a geometric sequence and does not require external sources.

For more such questions on geometric,click on

https://brainly.com/question/19241268

#SPJ8  

The probable question may be:

Which formula can be used to find the nth term in a geometric sequence where a_{1} = 3 and r=2?

A. a_{n} - 3 + 2(n - 1)

B. a_{2} - 3(n - 1) + 2

C. a_{3} = 3 ^ (n - 1) * 0.2

D. a_{n} = 3.2 ^ (n - 1)

Suppose we are testing the null hypothesis H_o: µ = 16 against the alternative H_a: µ > 16 from a normal population with known standard deviation σ=4. A sample of size 324 is taken. We use the usual z statistic as our test statistic. Using the sample, a z value of 2.34 is calculated. (Remember z has a standard normal distribution.)

a) What is the p value for this test? ______
b) Would the null value have been rejected if this was a 2% level test?
OY
ON

c) Would the null value have been rejected if this was a 1% level test?
OY
ON

d) What was the value of x calculated from our sample? _______

Answers

a) The p- value is 0.0094.

b) True

c) Yes

To calculate the p-value for the test, we can use the standard normal distribution table or a statistical calculator.

a) The p-value is the probability of obtaining a test statistic as extreme as the observed value or more extreme if the null hypothesis is true. Since we are testing the alternative hypothesis H_a: µ > 16, the p-value is the probability of getting a z-value greater than 2.34.

Using a standard normal distribution table, the p-value corresponding to a z-value of 2.34 is 0.0094.

b) If this was a 2% level test, the null hypothesis would be rejected if the p-value is less than the significance level of 0.02.

Since the p-value (0.0094) is less than the significance level, the null hypothesis would have been rejected at the 2% level.

c) If this was a 1% level test, the null hypothesis would be rejected if the p-value is less than the significance level of 0.01.

Since the p-value (0.0094) is greater than the significance level, the null hypothesis would not have been rejected at the 1% level.

Learn more about Null Hypothesis here:

https://brainly.com/question/30821298

#SPJ1

Answer pls it's due

Answers

wanna b my bestie :plead:

According to this partial W-2 form, how much money was paid in FICA taxes? Use the partial sample of a W-2 form to answer a question. $823.73 $4345.89 $6817.08 $11,162.97

Answers

The amount of money paid in FICA taxes cannot be determined based on the given options.

To determine the amount of money paid in FICA taxes from the partial W-2 form, we would need to look for specific entries related to FICA taxes. Typically, the W-2 form provides information such as Social Security wages and Medicare wages, which are used to calculate the corresponding FICA taxes.

The FICA tax consists of two components: the Social Security tax and the Medicare tax. The Social Security tax is calculated based on a fixed percentage (e.g., 6.2%) of the individual's Social Security wages, up to a certain income threshold. The Medicare tax is calculated based on a different fixed percentage (e.g., 1.45%) of the individual's Medicare wages, with no income threshold.

Without access to the specific entries on the partial W-2 form related to Social Security wages and Medicare wages, it is not possible to determine the exact amount of money paid in FICA taxes.

To learn more about amount click here :

brainly.com/question/31009592

#SPJ11

simplify each of the following.
5.1.
[tex]2 sin(90 - x ) - cos(360 - x)[/tex]

Answers

Step-by-step explanation:

[tex]2 \sin(90 - x) - \cos(360 - x) [/tex]

[tex]2 \cos(x) - \cos(x) [/tex]

[tex] \cos(x) [/tex]

Evan and Peter have a radio show which consists of 2 segments. They need 4 less than 11 songs in the first segment. In the second segment, they need 5 less than 3 times the number of songs in the first segment. Evaluate the expression. A. 39 songs B. 31 songs C. 25 songs D. 23 songs

Answers

Answer:

B. ( 11 − 4 ) + 3 × ( 11 − 4 ) − 5

There are 2 segments

First segment,

They need 4 less than 11 songs

=(11-4)

Second segment

They need 5 less than 3 times the number of songs in the first segment

3 times the number of songs in first segment

=3*(11-4)

5 less than 3 times the number of songs in first segment

={3*(11-4)} - 5

Total expression=

(11-4)+ {3×(11-4)} - 5

B. ( 11 − 4 ) + 3 × ( 11 − 4 ) − 5

Step-by-step explanation:

Answer:

D 23 songs

Step-by-step explanation:

In a survey of 3203 adults, 1447 say they have started paying bills online in the last year. Construct a​ 99% confidence interval for the population proportion. Interpret the results. A​ 99% confidence interval for the population proportion is ??

Answers

Answer:

(0.4291, 0.4743)

Step-by-step explanation:

Using the relation :

p ± Zcritical * Sqrt[(p(1-p)) / n]

P = x / n =. 1447 / 3203 = 0.4517

1 - p = 0.5483

Zcritical at 99% = 2.575

Sqrt[(p(1-p)) / n] = sqrt(0.4517(0.5483)) / 3203) = 0.008793

p ± Zcritical * 0.008793

Lower boundary = 0.4517 - (2.575 * 0.008793) = 0.4291

Upper boundary = 0.4517 + (2.575 * 0.008793) = 0.4743

(0.4291, 0.4743)

Joshua has 3.95 pounds of candy. He is placing the candy into 5 equal size bags. How much candy will be in each bag?





Answers

each one should be 0.79 pounds. this was found through basic division.
0.79 pound of candy in each bag

You flip a coin. What is P(not tails)? 50%

Answers

Heads I think I’m not really sure what your asking.

What Is 21+21,000 Please tell me what the answer

Answers

Answer:

21021

Step-by-step explanation:

what two number have an absolute value of 12?

Answers

Answer:

The absolute value of 12, is 12...

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

. A random variable X has pdf fX(x) = 2e −2x , x ≥ 0.

(a) Use Chebyshev’s inequality to obtain an upper bound for P(X /∈ (µX − 1, µX + 1))

(b) Use Chebyshev’s inequality to obtain a lower bound for P(X ∈ (µX − 3, µX + 3))

Answers

(a) The upper bound for P(X ∈ (µX − 1, µX + 1)) using Chebyshev's inequality is 0.75.

(b) The lower bound for P(X ∈ (µX − 3, µX + 3)) using Chebyshev's inequality is 0.55.

(a) The upper bound for \(P(X \notin (\mu_X - 1, \mu_X + 1))\) using Chebyshev's inequality can be found as follows:

Chebyshev's inequality states that for any random variable \(X\) with mean \(\mu_X\) and standard deviation \(\sigma_X\), the probability that \(X\) deviates from its mean by more than \(k\) standard deviations is at most \(1/k^2\).

In this case, we have the random variable \(X\) with the probability density function (pdf) \(f_X(x) = 2e^{-2x}\) for \(x \geq 0\). The mean \(\mu_X\) of this distribution can be calculated as \(\mu_X = \int_0^\infty xf_X(x) dx\). By integrating, we find \(\mu_X = \frac{1}{2}\).

To calculate the standard deviation \(\sigma_X\), we need to find the variance first. The variance \(\text{Var}(X)\) is given by \(\text{Var}(X) = E[X^2] - (E[X])^2\). Evaluating the integral, we find \(E[X^2] = \frac{3}{4}\).

Thus, the variance is \(\text{Var}(X) = \frac{3}{4} - \left(\frac{1}{2}\right)^2 = \frac{1}{4}\). Taking the square root of the variance gives us the standard deviation \(\sigma_X = \frac{1}{2}\).

Now, applying Chebyshev's inequality with \(k = 1\), we have \(P(X \notin (\mu_X - 1, \mu_X + 1)) \leq \frac{1}{1^2} = 1\).

Therefore, the upper bound for \(P(X \notin (\mu_X - 1, \mu_X + 1))\) is 1.

Chebyshev's inequality is a probabilistic bound that gives us an estimate of how likely a random variable is to deviate from its mean by a certain number of standard deviations. In this case, we used Chebyshev's inequality to find an upper bound for the probability that \(X\) falls outside the interval \((\mu_X - 1, \mu_X + 1)\).

By calculating the mean and standard deviation of the random variable \(X\), we were able to apply Chebyshev's inequality and determine that the probability is bounded above by 1. This means that it is guaranteed that \(X\) will be within the interval \((\mu_X - 1, \mu_X + 1)\) at least 0% of the time.

(b) The lower bound for \(P(X \in (\mu_X - 3, \mu_X + 3))\) using Chebyshev's inequality can be obtained as follows:

By the same reasoning as in part (a), we have the mean \(\mu_X = \frac{1}{2}\) and the standard deviation \(\sigma_X = \frac{1}{2}\) for the random variable \(X\) with pdf \(f_X(x) = 2e^{-2x}\) for \(x \geq 0\).

Applying Chebyshev's inequality with \(k = 3\), we have \(P(X \notin (\mu_X - 3, \mu_X + 3)) \leq \frac{1}{3^2} = \frac{1}{9}\).

To find the lower bound

for \(P(X \in (\mu_X - 3, \mu_X + 3))\), we subtract the upper bound from 1: \(P(X \in (\mu_X - 3, \mu_X + 3)) \geq 1 - \frac{1}{9} = \frac{8}{9}\).

Therefore, the lower bound for \(P(X \in (\mu_X - 3, \mu_X + 3))\) is \(\frac{8}{9}\).

Chebyshev's inequality allows us to establish a lower bound for the probability that a random variable falls within a certain range around its mean. In this case, we used Chebyshev's inequality to find a lower bound for the probability that \(X\) falls within the interval \((\mu_X - 3, \mu_X + 3)\).

By calculating the mean and standard deviation of the random variable \(X\), we applied Chebyshev's inequality with \(k = 3\) to obtain an upper bound for the probability of being outside the interval.

Subtracting this upper bound from 1 gives us the lower bound for the desired probability, which is \(\frac{8}{9}\). This means that at least 88.9% of the time, \(X\) will fall within the interval \((\mu_X - 3, \mu_X + 3)\).

To know more about Chebyshev's inequality, refer here:

https://brainly.com/question/31964896#

#SPJ11

I give brainiest!!!!!

Answers

The answer is c(4) because if you multiply 4 three times it equals 64

Answer:

c. 4

Step-by-step explanation:

yan sagot

MATH PLEASE HELP!! HELP BADLY NEEDED....

Answers

Corresponding angles- a, d, h, l and s
Alternate interior- c, f, i, o, and t
Same side interior- e, g, k, m, and p
Alternate exterior- n, q, r
• for j and b I’m not sure
Other Questions
On January 1, 2010, Hamad Town Co purchased a machine to $240 000 estimated that the machine will have a 10-your usef Meror 100,000 uns vers une tegev $20.000 Assuming the company produced 12,000 units in 2010 Depreciation expence for the year ended December 31, 2010 ug units of production method of deprecation would be A. None of these answers B. $22.000 C. $20,400 D. $40,000 The Deputy Chief Executive (DCE) leadership behavior is described as "friendly and approachable, helps employees with personal problems, develops a supportive and friendly work environment, and is highly concerned about subordinates" comfort, well-being, and satisfaction". Use 'Ohio Leadership Studies' to specify DCE's leadership behavior. [Explanation is not required) Use the editor to format your answer What type of management skills did you observe this manager to possess? Be specific here and related it back to your specific experience. 4. In your answer, apply terminology and concepts of the textbook chapter and Content on Moodle (e.g. conceptual, time-management, interpersonal, communication, technical skills) AND reference your source material (ie. "Fundamentals of Business: Canadian Edition, Chapter 8 Management and Leadership"... etc). now consider the two-lens system and the final image it forms, i.e., the image created by the second lens. what is the distance, in centimeters, between the object and its final image? let f(x)=x2 3x 2. what is the average rate of change of f(x) from 3 to 6? Please help! Will thumbsup!The market demand for a good is P = 90 - 2Q. The good can be produced at a constant cost of $50. How much Dead Weight Loss (DWL) is created if the market if served by monopolist who is able to practic You are looking to launch a new hotel chain, Roxy.To launch Roxy you are expected to invest $500nmillion this year (year = 0). You are then expected to generate free cash flows of $27 million a year starting in year 1. From then, these cash flows are expected to grow 3% per year in perpetuity. Assume these cash flows are received at the end of each year.Here are reports of publicly traded firms, and the expected returns on the government bond (treasury) and the risk premium on the value-weighted market portfolio:CompanyDropboxIkeaIntercontinental Hotels GroupMarketValueEquity9001,0007,500Marketof ValueDebt1501002,500ofAssume CAPM holds for all assets, and the debt of Dropbox, Ikea and Intercontinental Hotels Group is risk free. None of these firms hold excess cash assets.Answer the following questions:a) If Roxy was 100% equity financed, what would be a reasonable estimate of the expected ROE?b) What is Roxy's WACC?c) Estimated value of Roxy?d) Estimated gain from investing in Roxy? Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 s0 < 2n.) V3x y = 3 Question 1: ABL shares are currently trading at a price of $9, while HHT shares are trading at a price of $48.68. The risk-free rate is 1.29% per year. Using the information above, perform each of the following tasks:a) Identify which of the following options are in-the-money, out-of-the-money or at-the-money: Call on ABL with a strike of $9.43, Call on ABL with a strike-price of $5, Put on HHT with a strike-price of $62.92b) If HHT shares have a 77% chance of increasing by 10% and a 23% chance of decreasing by 10% by the date of the option expiration, what will be the expected return on HHT shares and the expected return on a protective put position? For simplicity you may assume the put has a price of $1 and has the same strike-price as listed above. what clues are there within the requiem that mozart gave verbal instruction to the person who completed the requiem? 13) Chamberlain Company wants to issue new 13-year bonds for some much-needed expansion projects. The company currently has 7.6 percent coupon bonds on the market that sell for $1,104.83, make semiann Suppose the reserve requirement is initially set at 15%. a. At a reserve requirement of 15%, what is the value of the money multiplier? b. If the reserve requirement is 15% and the Fed increases reserves by $20 billion, what is the total increase in the money supply? The weight of a randomly chosen Maine black bear has expected value E[W] = 650 pounds and standard deviation sigma_W = 100 pounds. Use the Chebyshev inequality to determine an upper bound for the probability that the weight of a randomly chosen bear is at least 200 pounds heavier than the average weight of 650 pounds. P[W greaterthanorequalto 850] lessthanorequalto One of management's responsibilities is to ensure their team's work aligns to the company's business strategies. Respond to the following prompt in a minimum of 175 words: - What leadership theories have you seen used in your own workplace? - Which were most effective? - Which were the least effective? Why? - How did the execution of these theories align with your company's business strategies? For each of the following produces, explain whether the change in the market price and quantity sold reflects a shift in supply or a shift in demand and in what direction. Product Prices Quantity sold Supply or demand curve shift? Direction? Sales of ice cream after doctors Up Up confirm that it is really good for your health Mobile data after Down Up technology becomes cheaper Up Down Salmon after we completely pollute the ocean down down Sales of CBS All Access if their new Star Trek shows are bad 20C Tom sells mutual funds on a graduated commission structure. He receives 2.5% on the first $40,000 of sales in a month, 3.6% on the next $40,000, and 4.7% on all further sales. What are his gross earnings for a month in which he sells $170,000 worth of mutual funds? Please solve the problem with clear steps in one hour!3. ODE solutions using Laplace transforms Solve the following initial value problem using Laplace transforms: y' + 2y = 0, y(0) = 1.5 what is the distance along the unit circle between any two successive 8th roots of 1?a. /8b. /6c. /4d. /2 Answer the following: A) In Kerberos, When Alice receives a reply, how does she know it came from Bob (that it's not a replay of an earlier message from Bob)? B) What does the Ticket contain that allows Alice and Bob to talk securely? [3 + 3 = 6] please use financial calc/ formula not excell thank you!4. River Corp. has 6.75 percent coupon bonds making annual payments with a YTM of 9 percent. The current yield on these bonds is 7.5 percent. How many years do these bonds have left until they mature?