At a certain charity fundraiser, some guests will be randomly selected to receive a gift. The probability of receiving a gift is 3/25. Find the odds in favor of receiving a gift. I got 3/28. A child has a box of candies which might have a toy inside. The odds against the box having a toy are 7/2. What is the probability of the box having a toy? I got 7/9. Are my answers correct?

Answers

Answer 1

Answer:

a) Your answer for part a (I got 3/28) is wrong.

Odds are always expressed as ratios after calculating. Therefore, the odds in favour of receiving a gift = 3:22

b) Your answer in part b(I got 7/9) is correct.

The probability of the box having a toy is 7/9.

Step-by-step explanation:

The question above has to do with odds and probability.

It is important to note that odds are expressed in the form of ratios while probabilities are expressed as fractions.

a) At a certain charity fundraiser, some guests will be randomly selected to receive a gift. The probability of receiving a gift is 3/25. Find the odds in favor of receiving a gift.(I got 3/28)

The formula for calculating odds from probability is Odds = Probability / (1 - Probability).

Probability = 3/25

Odds =(3/25)/(1 - 3/25)

= (3/25)/22/25

= 3/25 ÷ 22/25

= 3/25 × 25/22

= 3/22

Note that odds are always expressed as ratios.

Therefore, the odds in favour of receiving a gift = 3:22

Your answer for part a (I got 3/28) is wrong.

The correct answer is 3:22

b) A child has a box of candies which might have a toy inside. The odds against the box having a toy are 7/2. What is the probability of the box having a toy? I got 7/9.

The formula for calculating probability from odds is P = Odds / (Odds + 1).

Odds = 7/2 or 7:2

We convert the odds to fraction when calculating

Probability = Odds / (Odds + 1).

Probability = (7/2)/ (7/2 + 1)

Probability = (7/2)/9/2

Probability = 7/2 ÷ 9/2

= 7/2 × 2/9

= 7/9

Probability is always expressed as a fraction.

Therefore, the probability of the box having a toy is 7/9.

Your answer in part b(I got 7/9) is correct.


Related Questions

can someone help me please

Answers

Answer:

[tex] {x}^{4} = 2880[/tex]

Step-by-step explanation:

[tex] {y}^{2} = 20 \: (eq . \: 1)[/tex]

[tex] {x}^{2} = {(2 \sqrt{3y)} }^{2} = 12y [/tex]

Putting value of eq. 1 in the following:

[tex] {x}^{4 } = {(12y)}^{2} = 144{y}^{2} = 144 \times 20 = 2880[/tex]

A dice is rolled twice. What is the probability of rolling a 3 followed by a 2?

Answers

The two rolls of the number cube are independent events because

the result of 1 roll does not affect the result of the other roll.

To find the probability of two independent events, we first find

the probability of each event, then we multiply the probabilities.

We can find the probability of an event using the following ratio:

number of favorable outcomes/total number of outcomes

Since there is only one way to roll a 3 and there are six

possible outcomes, 1, 2, 3, 4, 5, and 6, the probability of rolling a 3 is 1/6.

Since there is also only one way to roll a 2 and there are

six possible outcomes, the probability of rolling a 2 would be 1/6.

Now we multiply the probabilities.

1/6 x 1/6 is 1/36.

So the probability of rolling a 3 and a 2 is 1/36.

Answer:

1/36

Step-by-step explanation:

Probability of rolling 3 in a dice = 1/6.

Probability of rolling 2 = 1/6

Since, 2 should be followed after 3; we multiply 1/6 and 1/6

1/6 x 1/6 = 1/36.

Your’re in charge of evening entertainment for an important client group You use the company credit card to take their four representatives out to dinner. Two people order the steak entree for 32.50 Two people order the grilled tuna for 28.90 and you order the lasagna for 24.95 When the bill comes you tip 20% what is the amount of tip you leave

Answers

Answer:

total amount paid = 32.5 + 28.9 + 24.95 = 86.35

20% of the total amount paid = 0.2 * 86.35 = 17.27

you tip 17.25$

How many fluid ounces are there in 4pints?

Answers

Answer: 64 fluid ounces

Step-by-step explanation:

1 pint=16 fl oz

16*4=64

Write the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. 1/(x-1)(x 9)

Answers

Answer:

[tex]\frac{A}{(x-1)} + \frac{B}{(x-9)}[/tex]

Step-by-step explanation:

Given the expression [tex]\dfrac{1}{(x-1)(x-9)}[/tex], we are to write the expression as a partial fraction. Writing as a partial fraction means rewriting the expression a s a sum of two or more expression.

Before we will do this we will need to check the nature of the function at the denominator whether it is linear, quadratic or a repeated function. According to the question, the denominator at the denominator is a linear function and since it is a linear function, we can separate both linear function without restriction as shown;

[tex]\dfrac{1}{(x-1)(x-9)} = \frac{A}{(x-1)} + \frac{B}{(x-9)}[/tex] where A and B are the unknown constant which are numerical values.

5. During a national debate on changes to health care, a cable news service performs an opinion poll of 500 small business owners. It shows that 65% of small-business owners do not approve of health care changes. Develop a 95% confidence interval for the proportion opposing health care changes. Use 4 decimal places.

Answers

Answer:

The 95% confidence interval for the proportion opposing health care changes is (0.6082, 0.6918).

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.65\\n=500\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is:

[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]

*Use a z-table.

Compute the 95% confidence interval for the proportion opposing health care changes as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

     [tex]=0.65\pm 1.96\sqrt{\frac{0.65(1-0.65)}{500}}\\\\=0.65\pm 0.04181\\\\=(0.60819, 0.69181)\\\\\approx (0.6082, 0.6918)[/tex]

Thus, the 95% confidence interval for the proportion opposing health care changes is (0.6082, 0.6918).

Find the sum (x^3+5x^2+3x-7)+(8x-6^2+6)
Find the difference (7x-3x^2+2)-(x^3+5x^2+2x-5)

Answers

Answer:

x^3 - x^2 + 11x - 1

-x^3 - 8x^2 + 5x + 7

Step-by-step explanation:

Find the sum

(x^3+5x^2+3x-7)+(8x-6x^2+6)

=x^3+5x^2+3x-7+8x-6x^+6

Collect like terms

=x^3 +5x^2-6x^2+3x+8x-7+6

Add the like terms

= x^3 - x^2 + 11x - 1

Find the difference (7x-3x^2+2)-(x^3+5x^2+2x-5)

(7x-3x^2+2)-(x^3+5x^2+2x-5)

= 7x-3x^2+2-x^3-5x^2-2x+5

Collect like terms

= -x^3-3x^2-5x^2+7x-2x+2+5

Add the like terms

= -x^3 - 8x^2 + 5x + 7

I NEED HELP WITH THESE 4 ASAP

Answers

Answer:

I'm confused by this. What do they mean by prove?

Step-by-step explanation:

Monique makes $11 per hour delivering pizzas. Monique works Monday
through Friday, and on average she earns $20 a day in tips. If Monique
made no less than $450 for one week, find an inequality for the number
of hours she worked​

Answers

Answer:

x > 39 hours

Step-by-step explanation:

Let x be the number of hours she worked.

11x - is how much she would get paid for working for x hours

11x + 20 > 450

11x > 430

x > 39 hours

Hope that helped!!! k

Which of the following is the solution set of the given equation? (x - 3) - 2(x + 6) = -5 a) {-4} b) {8} c) {-10}

Answers

Answer:

x = -10

Step-by-step explanation:

(x - 3) - 2(x + 6) = -5

Distribute

x-3 -2x-12 = -5

Combine like terms

-x -15 = -5

Add 15 to each side

-x-15+15 = -5+15

-x=10

Multiply each side by -1

x= -10

Answer:

c

Step-by-step explanation:

Avanety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each
snack pack of crackers to the number of calories in each snack pack of trail mix.
Number of Calories in Each Snack Pack
Crackers
Trail Mix
65
70
75
80
85
90
95
100 105 110 115
Which statement is true about the box plots?
The interquartile range of the trail mix data is greater than the range of the cracker data.
The value 70 is an outlier in the trail mix data
The upper quartile of the trail mix data is equal to the maximum value of the cracker data
O The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs
of crackers

Answers

Answer:

The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs

of crackers

Step-by-step explanation:

IQR of trail mix data = 105 - 90 = 15

The range of cracker data = 100 - 70 = 30.

Therefore, the first option is NOT TRUE.

To check if option 2 is correct, calculate the lower limit to see if 70 is below the lower limit. If 70 is below the lower limit, then it is an outlier in the trail mix data.

Thus, Lower Limit = [tex]Q_1 - 1.5(IQR)[/tex]

Q1 = 90,

IQR = 105 - 90 = 15

Lower Limit = [tex]90 - 1.5(15)[/tex]

Lower Limit = [tex]90 - 22.5 = 67.5[/tex]

70 is not less than the lower limit, therefore, 70 is not an outlier for the trail mix data. The second option is NOT TRUE.

The upper quartile of the trail mix data = 105.

The maximum value of the cracker data = 100.

Therefore, the third option is NOT TRUE.

Range can be used to determine how much variable there is in a data represented on a box plot. The greater the range value, the greater the variation.

Range of trail mix data = 115 - 70 = 45

Range of cracker data = 100 - 70 = 30.

The range value for the number of calories in trail mix is greater than that for cracker, therefore, the number of calories in the packs of trail mix have a greater variation than the number of calories in the packs

of crackers.

The fourth option is TRUE.

Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

A player at a fair pays Rs. 100 to roll a dice. The player receives Rs. 50 if the number of dots facing up is equal to 5, Rs. 200 if the number is 6, but nothing otherwise. Find the expected value of the reward Y. What is the expected value of the gain? Find out the standard deviation of Y.

Answers

Answer:

The dice has 6 options:

if the outcome is 5, player wins 50

if the outcome is 6, player wins 200

if the outcome is another number, the player does not win anything.

Now, remember that the expected value can be written as:

E = ∑xₙpₙ

where xₙ is the event n, and pₙ is the probability of that event.

for a dice, the probabilty for each number is 1/6

The expected value is:

E = (1/6)*(0 + 0 + 0 + 0 + 50 + 200) = 41.66

The expected gain will be E - 100 (because the player pays 100 in order to play)

Then the expected gain is:

G = 41.66 - 100 = -58.33

The standard deviation can be written as:

s = √( ∑(x - x)^2/n)

where x is the mean, in this case the mean is:

(200 + 50 + 4*0)/6 = 41.66  and n = 6.

s = √( (1/6)*(4*(0 - 41.66)^2 + (50 - 41.66)^2 + (200 - 41.66)^2) ) = 73

So we have a lot of standard deviation on Y.

If the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire bathtub? Write an equation in one variable to help you solve the problem. The variable represents the unknown time in minutes.

Answers

Answer:

2.8

Step-by-step explanation:

Hey there!

Well to find the amount of minutes needed to fill a 46.2 gallon bathtub we’ll divide.

46.2 / 16.5

= 2.8

2.58 minutes

Hope this helps :)

5 STARS IF CORRECT! Can you translate a phrase or sentence into symbols? Explain the answer.

Answers

Answer:

See below.

Step-by-step explanation:

It depends on the sentence or phrase. If the sentence includes an operation of numbers or something related to comparing numbers, then maybe it can be translated into symbols. If the sentence or phrase has nothing to do with quantities, or operations or comparison of quantities, then probably it can't.

Examples:

1) The boy went for a walk.

There's nothing to translate into symbols in this case.

2) I had $10 in my bank account, then I deposited n dollars. Now I have $30 in my account.

In this case, I can translate the sentence into an equation.

10 + n = 30

Manuel says that he can solve the equation 3n = 21 by multiplying both sides by ⅓. Explain why this is correct.

Answers

Step-by-step explanation:

はい、両側を削除して、3を掛けて7にします

Step-by-step explanation:

Given:

3n = 21

if we multiply both sides by 1/3, we will get:

3n = 21

3n x (1/3)= 21 x (1/3)

3n/3 = 21/3

n = 21/3

n = 7

Hence we can indeed solve for n by multiplying both sides by (1/3)

if the perimeter of Milo's rectangular backyard Is 16 feet. which of the following could be the dimensions of the yard? circle all that apply. explain your choice

Answers

Answer:

the answer is a and d

Step-by-step explanation:

6 + 6 + 2 +2 = 16

3 + 3 + 5 + 5 = 16

to find perimeter, double each factor and add :)

Factor the trinomial below. x^2 + 5x – 24 A. (x – 8)(x + 3) B. (x – 4)(x + 6) C. (x – 3)(x + 8) D. (x – 6)(x + 4)

Answers

Answer:

The answer is option C

Step-by-step explanation:

x² + 5x - 24

To factorize first write 5x as a difference so that when subtracted will give you 5 and when multiplied will give you - 24

That's

x² + 8x - 3x - 24

Factorize x out

That's

x( x + 8) - 3(x + 8)

Factor x + 8 out

We have the final answer as

(x + 8)(x - 3)

Hope this helps you

Answer:(x-3)(x+8)

Step-by-step explanation:

which of the following is equal to 5^-3?

Answers

Answer:

5⁻³ = 1/5³ = 1/125

Answer: 1/125

Step-by-step explanation:

Give an example of when and why one would use a continuity correction factor?

Answers

Answer:

An example of when a continuity correction factor can be used is in finding the number of tails in 50 tosses of a coin within a given range .

and continuity correction factor is used when a continuous probability distribution is used on a discrete probability distribution

Step-by-step explanation:

An example of when a continuity correction factor can be used is in finding the number of tails in 50 tosses of a coin within a given range .

continuity correction factor is used when a continuous probability distribution is used on a discrete probability distribution,  continuity correction factor creates an adjustment on a discrete distribution while using a continuous distribution

x+9=13352643-2x answer get brainliest

Answers

Answer:

4450878

Step-by-step explanation:

Solve for x in the diagram below.
30°
80°
2.cº
T =

Answers

180 = 80 + 2x + 3x
100 = 5x
x = 20

Hello, there!!!!

Given that,

80°,3x° and 2x°are three angles on a st.line.

we have,

2x°+3x°+80°= 180° {The total sum of angles on a st. line is 180°}.

or, 5x°= 180°-80°

or, 5x°=100°

or, x= 100°/5

Therefore the value of x is 20°.

Hope it helps...

80% of ______ is 1,200?

Answers

Answer:

the unknown number is 1500

Step-by-step explanation:

let "a" be the unknown number we finding so from the above question we can deduce that

(80/100)*a=1200

80a=1200*100

80a=120000

a=120000/80

a=1500

solve the equation for 3x=24 for x​

Answers

Answer:

8

Step-by-step explanation:

3x = 24

Divide both sides by 3

3x/3 = 24/3

x = 8

The solution for x in the equation, 3x = 24 is 8.

What is the answer for the equation?

To solve the equation 3x = 24 for x, we need to isolate x on one side of the equation. Here's how we can do that:

Start with the equation 3x = 24.

Divide both sides of the equation by 3 to isolate x. This gives us (3x)/3 = 24/3.

Simplify the equation: x = 8.

Therefore, the solution to the equation 3x = 24 is x = 8.

This means that if we substitute x with 8 in the original equation, we get 3(8) = 24, which is true.

Read more about equation here: https://brainly.com/question/29174899

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Transform the given parametric equations into rectangular form. Then identify the conic.

Answers

Answer:

Solution : Option B

Step-by-Step Explanation:

We have the following system of equations at hand here.

{ x = 5 cot(t), y = - 3csc(t) + 4 }

Now instead of isolating the t from either equation, let's isolate cot(t) and csc(t) --- Step #1,

x = 5 cot(t) ⇒ x - 5 = cot(t),

y = - 3csc(t) + 4 ⇒ y - 4 = - 3csc(t) ⇒ y - 4 / - 3 = csc(t)

Now let's square these two equations. We know that csc²θ - cot²θ = 1, so let's subtract the equations  as well. --- Step #2

 

( y - 4 / - 3 )² = (csc(t))²

- ( x - 5 / 1 )² = (cot(t))²  

___________________

(y - 4)² / 9 - x² / 25 = 1

And as we are subtracting the two expressions, this is an example of a hyperbola. Therefore your solution is option b.

1 If a = p^1/3-p^-1/3
prove that: a^3 + 3a = p - 1/p​

Answers

Hello, please consider the following.

We know that

[tex]a = p^{\frac{1}{3}}-p^{-\frac{1}{3}}\\\\=p^{\frac{1}{3}}-\dfrac{1}{p^{\frac{1}{3}}}[/tex]

And we can write that.

[tex](p-\dfrac{1}{p})^3=(p-\dfrac{1}{p})(p^2-2+\dfrac{1}{p^2})\\\\=p^3-2p+\dfrac{1}{p}-p+\dfrac{2}{p}-\dfrac{1}{p^3}\\\\=p^3-\dfrac{1}{p^3}-3(p-\dfrac{1}{p})[/tex]

It means that, by replacing p by [tex]p^{1/3}[/tex]

[tex](p^{1/3}-\dfrac{1}{p^{1/3}})^3=p-\dfrac{1}{p}-3(p^{1/3}-\dfrac{1}{p^{1/3}})\\\\\\\text{ So }\\\\a^3=p-\dfrac{1}{p}-3a\\\\<=>\boxed{ a^3+3a=p-\dfrac{1}{p} }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The general manager, marketing director, and 3 other employees of CompanyAare hosting a visitby the vice president and 2 other employees of CompanyB. The eight people line up in a randomorder to take a photo. Every way of lining up the people is equally likely.Required:a. What is the probability that the bride is next to the groom?b. What is the probability that the maid of honor is in the leftmost position?c. Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.

Answers

Answer:

Following are the answer to this question:

Step-by-step explanation:

Let, In the Bth place there are 8 values.

In point a:

There is no case, where it generally manages its next groom is = 7 and it will be arranged in the 2, that can be arranged in 2! ways. So, the total number of ways are: [tex]\to 7 \times 2= 14\\\\ \{(1,2),(2,1),(2,3),(3,2),(3,4),(4,3),(4,5),(5,4),(5,6),(6,5),(6,7),(7,8),(8,7),(7,6)\}\\[/tex][tex]\therefore[/tex] required probability:

[tex]= \frac{14}{8!}\\\\= \frac{14}{8\times7 \times6 \times 5 \times 4 \times 3\times 2 \times 1 }\\\\= \frac{1}{8\times6 \times5 \times 4 \times 3}\\\\= \frac{1}{8\times6 \times5 \times 4 \times 3}\\\\=\frac{1}{2880}\\\\=0.00034[/tex]

In point b:

Calculating the leftmost position:

[tex]\to \frac{7!}{8!}\\\\\to \frac{7!}{8 \times 7!}\\\\\to \frac{1}{8}\\\\\to 0.125[/tex]

In point c:

This option is false because

[tex]\to P(A \cap B) \neq P(A) \times P(B)\\\\\to \frac{12}{8!} \neq \frac{14}{8!}\times \frac{1}{8}\\\\\to \frac{12}{8!} \neq \frac{7}{8!}\times \frac{1}{4}\\\\[/tex]

Fill in the blanks and explain the pattern.
1, 4, 9, 16, 25,__,__,__,__,100


Fill in the blanks and explain the pattern.
1/2, 1/6, 1/18, 1/54,__,__,__

Answers

37, 47 ,57, 67,77

hope this help you

Answer:

1. 36, 49, 64, 81

The pattern is going up by squares.  

2. 1/162, 1/486, 1/1458

The pattern is 1/3n.

Step-by-step explanation:

1. Before the blank spaces started we were at 5^2, or 25.  Now, we have to find 6^2, 7^2, 8^2, and 9^2.  That would be 36, 49, 64, and 81. It goes up by squares.

2. As the pattern continues, each number in the sequence is multiplied by 1/3 create the next number in the sequence.

Question: 2. Musah Stands At The Centre Of A Rectangular Field. He First Takes 50 Steps North, Then 25 Steps West And Finally 50 Steps On A Bearing Of 3150 Sketch Musah's Movement Mark 41 Ii. How Far West Is Musah's Final Point From The Centre? [Mark 41 Iv. How Far North Is Musah's Final Point From The Centre? Mark 41 Describe How You Would Guide A JHS Student​

Answers

Answer:

60.36 steps West from centre

85.36 steps North from centre

Step-by-step explanation:

Refer to attached

Musah start point and movement is captured in the picture.

1. He moves 50 steps to North, 2. Then 25 steps to West, 3. Then 50 steps on a bearing of 315°. We now North is measured 0°

or 360°, so bearing of 315° is same as North-West 45°.

Note. According to Pythagorean theorem, 45° right triangle with hypotenuse of a has legs equal to a/√2.

How far West Is Musah's final point from the centre?

25 + 50/√2 ≈ 60.36 steps

How far North Is Musah's final point from the centre?

50 + 50/√2 ≈ 85.36 steps

Assume that the following confidence interval for the difference in the mean length of male babies​ (sample 1) and female babies​ (sample 2) at birth was constructed using independent simple random ​samples:0.2 in2.7 in. What does the confidence interval suggest about the difference in length between male babies and female​ babies?

Answers

Answer:

The confidence interval consist of positive values, it implies that the mean length of male babies at birth is more than that of female babies.

Step-by-step explanation:

Consider the hypothesis for testing the difference in the mean length of male babies and female babies​ at birth:

H₀: There is no significant difference between the mean length of male babies and female babies​ at birth, i.e. μ₁ - μ₂ = 0.

Hₐ: There is a significant difference between the mean length of male babies and female babies​ at birth, i.e. μ₁ - μ₂ ≠ 0.

The decision rule based on the confidence interval is:

If the (1 - α)% confidence interval does not consist of the null value, i.e. 0 then the null hypothesis will be rejected.

The confidence interval for the difference in the mean length of male babies and female babies​ at birth is:

CI = (0.2 in, 2.7 in)

The confidence interval does not consist of the null value, i.e. 0.

Thus, the null hypothesis will be rejected.

Hence, concluding that there is a significant difference between the mean length of male babies and female babies​ at birth.

Since the confidence interval consist of positive values, it implies that the mean length of male babies at birth is more than that of female babies.

The distance between two cities on a map is 4 centimeters. If the scale is 0.5 cm:1 km, how many kilometers apart are the actual cities?

Answers

Answer:

8 km

Step-by-step explanation:

            1 km

4 cm x -------- = 8 km

           0.5 cm

The actual cities are 8 km apart from each other at the scale 0.5 cm = 1 km.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The distance between two cities on a map = 4 centimeters.

Also,  the scale

0.5 cm = 1 km

To find actual distance between cities, use ratio properly,

0.5 cm = 1 km

1 cm = 2 km

4 cm = 8 km

The distance between the actual cities is 8 km.

To learn more about Ratio on :

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___H2 + ___Br2 ___HBr Un pez llamado PARGO ROJO vive a grandes profundidades. Si se pesca, al salir a la superficie puede tomar el aspecto de la foto porque su vejiga natatoria aumenta de volumen al disminuir la presin. La ley que lo explica es... solve for x: 5x+3+8x-4=90 Simplify the following: a) [ -6 +22 6 + 8 ] ( -9 ) b) 400 { 40 (-2) -3 ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 (-1673) e) 490 x 98 What is the perimeter (in centimeters) of a rectangle with length 4.5 cm and width 8.2 cm Which graph has a slope of 4/5? A laboratory assistant needs to prepare 217 mL of 0.246 M solution. How many grams of calcium chloride will she need Suppose P( A) = 0.60, P( B) = 0.85, and A and B are independent. The probability of the complement of the event ( A and B) is: a. .4 .15 = .060 b. 0.40 + .15 = .55 c. 1 (.40 + .15) = .45 d. 1 (.6 .85) = .490 Whats the mass of a liquid if its density is 0.95 G/ml and its volume is 200 ml Find the point(s) on the ellipse x = 3 cost, y = sin t, 0 less than or equal to t less than or equal to 2pi closest to the point(4/3,0) (Hint: Minimize the square of the distance as a function of t.) The point(s) on the ellipse closest to the given point is(are) . (Type ordered pairs. Use a comma to separate answers as needed.) All the following statements concerning the interest settlement option in life insurance are correct EXCEPT: Group of answer choices the beneficiary may be allowed to withdraw part or all of the proceeds. the beneficiary may be allowed to change to another settlement option. the minimum guaranteed interest rate usually is equal to the prime rate. the interest can be paid monthly, quarterly, semiannually, or annually. Consider the following reaction at 298K.I2 (s) + Pb (s) = 2 I- (aq) + Pb2+ (aq)Which of the following statements are correct?Choose all that apply.Go > 0The reaction is product-favored.K < 1Eocell > 0n = 2 mol electronsB- C. Answer the following questions.1. What is disease?2. How is a communicable disease caused?3. Explain the cycle of a communicable disease.4. What are the symptoms and preventive measures of tetan5. How is hookworm infested? Describe the preventive meaof it.6. How is diphtheria caused?7. Write the preventive measures of hookworm8. Where is malaria mostly occurred in Nepal? What apreventive measures?9. Write the methods of prevention from pneumonia.10. What is AIDS? How can it be prevented?Explain a communicable disease you have suffered fromgive one by one ans Which audience would most likely be interested in the passage? A. people that use water at home B. employees that work at water plants C. businesses that sell water D. people that want an organic garden Passage: Water Conservation Conserving water helps preserve our water resource for future use. Making small adjustments at home can greatly impact reducing unnecessary water usage. One approach is to turn off faucets while brushing your teeth and washing your face. Limiting the amount of time unused water is flowing can save gallons of water monthly. Collecting rainwater is also an effective way to conserve water. It can be used to water lawns and gardens. Additionally, be sure to water the lawn in the early morning or late afternoon so it can be absorbed and not evaporated quickly by the sun. These steps can significantly help the conservation of our essential natural resource. Find the approximate volume of this prism (Image down below) Company manufactures two products. Both products have the same sales price, and the volume of sales is equivalent. However, due to the difference in production processes, Product A has higher variable costs and Product B has higher fixed costs. Management is considering dropping Product B because that product line has an operating loss. Total Product A Product BSales Revenue $140,000 $70,000 $70,000Variable Costs 124,250 63,500 60,750Contribution Margin 15,750 6,500 9,250Fixed Costs 30,000 3,000 27,000Operating Income/(Loss) $(14,250) $3,500 $ (17,750)Required:a. If fixed costs cannot be avoided, should Richardson drop Product B? Why or why not?b. If 50% of Product B's fixed costs are avoidable, should Richardson drop Product B? Why or why not? select all options that represents the side lengths of a 30 60 90 triangle. Luther Corporation Consolidated Balance Sheet December 31, 2006 and 2005 (in $ millions) Assets 2006 2005 Liabilities and Stockholders' Equity 2006 2005 Current Assets Current Liabilities Cash 58.5 Accounts payable 73.5 Accounts receivable 39.6 Notes payable / shortterm debt 9.6 Inventories 42.9 Current maturities of longterm debt 36.9 Other current assets 3.0 Other current liabilities 6.0 12.0 Total current assets 144.0 Total current liabilities 132.0 LongTerm Assets LongTerm Liabilities Land 62.1 Longterm debt 168.9 Buildings 91.5 Capital lease obligations Equipment 99.6 Less accumulated depreciation () (52.5) Deferred taxes 22.8 22.2 Net property, plant, and equipment 200.7 Other longterm liabilities Goodwill 60.0 Total longterm liabilities 191.1 Other longterm assets 63.0 42.0 Total liabilities 323.1 Total longterm assets 242.7 Stockholders' Equity 63.6 Total Assets 386.7 Total liabilities and Stockholders' Equity 386.7 Refer to the balance sheet above. Luther's current ratio for 2006 is closest to: The X- and y-coordinates of point P are each to be chosen at random from the set of integers 1 through 10.What is the probability that P will be in quadrant II ?1/101/41/2 The radius of a right circular cylinder is increasing at the rate of 7 in./sec, while the height is decreasing at the rate of 6 in./sec. At what rate is the volume of the cylinder changing when the radius is 20 in. and the height is 16 in.