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2 months ago

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2 months ago

20/60 -> 1/6 -> 0.67

Question

Please Help! Will give Brainliest!! 1. ______________ is process that you can do over and over, where each result does not affect the next. Ex. Flipping a coin, rolling dice, choosing a card, etc. 2. ________________ are the possible results of an experiment. Example: Heads, tails; 1, 2, 3â€¦; Ace, King, Queenâ€¦; etc. 3. ______________is the measure of how likely an event is. 4. An ________________ event has a 0% chance of occurring Example : Rolling a 7 on a 6 sided die. 5. A ________________ event has a 100% chance of occurring. Example: Picking a red ball from a bag of only red balls. 6._______________ probability is what you expect to happen. 7.________________ probability is what actually happened. 8.The ___________ is the average value of all data in a set.

Solution 1

Part 1:

In probability, anÂ**experiment** is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes. Thus, an experimentÂ is a process that you can do over and over, where each result does not affect the next. For example:Â Flipping a coin, rolling dice, choosing a card, etc. are all experiments.

Part 2.

Outcomes are the possible results of an experiment. For example: When a coin is tossed, you either get a Heads or aÂ Tails. Thus, Head, Tail are the outcomes of tossing a coinÂ The set of possible outcomes from an experiment is called the sample space of the experiment.Â

Part 3.

Probability is the measure of how likely an event is to occur.Â Probability takes values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty.Â The higher the probability of an event, the more likely it is that the event will occur.

Part 4.

An impossible event has a 0% chance of occurring. Like stated in part 3 above, probability takes valuesÂ between 0 and 1, where,Â 0 indicates impossibility and 1 indicates certainty. A probability of 0 implies that the occurrence of the event is impossible.Â For example: It is impossible to rollÂ a 7 on a 6 sided die.

Part 5.

A certain event has a 100% chance of occurring. Like stated in part 3 above, probability takes valuesÂ between 0 and 1, where,Â 0 indicates impossibility and 1 indicates certainty. A probability of 1 implies that the occurrence of the event is certain.Â For example: It is certain that a ball picked from a bag containing only red balls will be red.Â

Part 6.

TheoreticalÂ probability is what you expect to happen. In theoretical probability, we do not conduct an experiment, rather weÂ use our knowledge about a situation, some logical reasoning, and/or known formula to calculate the probability of an event happening.Â Theoretical probability is given by the number of favorable outcomes divided by the total number of possible outcomes.

Part 7.

Experimental probability is what actually happened. Experimental probability is when the probability of an event happening is calculated by conducting an experiment. Experimental probability is given by the numberof event occurrences divided by the number of trials.

Part 8.

The arithmetic mean is the average value of all data in a set. The arithmetic mean is a measure of central tendency calculated by adding all the data values in the data set and dividing the sum by the total number of observations.

In probability, anÂ

Part 2.

Outcomes are the possible results of an experiment. For example: When a coin is tossed, you either get a Heads or aÂ Tails. Thus, Head, Tail are the outcomes of tossing a coinÂ The set of possible outcomes from an experiment is called the sample space of the experiment.Â

Part 3.

Probability is the measure of how likely an event is to occur.Â Probability takes values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty.Â The higher the probability of an event, the more likely it is that the event will occur.

Part 4.

An impossible event has a 0% chance of occurring. Like stated in part 3 above, probability takes valuesÂ between 0 and 1, where,Â 0 indicates impossibility and 1 indicates certainty. A probability of 0 implies that the occurrence of the event is impossible.Â For example: It is impossible to rollÂ a 7 on a 6 sided die.

Part 5.

A certain event has a 100% chance of occurring. Like stated in part 3 above, probability takes valuesÂ between 0 and 1, where,Â 0 indicates impossibility and 1 indicates certainty. A probability of 1 implies that the occurrence of the event is certain.Â For example: It is certain that a ball picked from a bag containing only red balls will be red.Â

Part 6.

TheoreticalÂ probability is what you expect to happen. In theoretical probability, we do not conduct an experiment, rather weÂ use our knowledge about a situation, some logical reasoning, and/or known formula to calculate the probability of an event happening.Â Theoretical probability is given by the number of favorable outcomes divided by the total number of possible outcomes.

Part 7.

Experimental probability is what actually happened. Experimental probability is when the probability of an event happening is calculated by conducting an experiment. Experimental probability is given by the numberof event occurrences divided by the number of trials.

Part 8.

The arithmetic mean is the average value of all data in a set. The arithmetic mean is a measure of central tendency calculated by adding all the data values in the data set and dividing the sum by the total number of observations.

Question

What is the sum of 3 + 12 + 48 + 192 + ... + 49,152? <---- one number A. 49,407
B. 65,535
C. 81,918
D. 56,383

Solution 1

A would be your answer because the last number you are adding is in the 49,000

Question

Two rafts are traveling In opposite directions on a straight river. The raft going with the current is traveling at a speed of 12 mph. The raft going against the current is traveling at a speed of 70 miles per hour. Both rafts travel the river for two hours. Which equation represents the situation? Assume the raft traveling with the current travels X miles in the raft traveling against the current travels y miles. A. 12/x - 7/y = 1/2
B. 12x + 7y = 2
C. x/12 - y/7 = 2
D. x/12 + y/7 = 4
E. 12x + 7y = 4

Solution 1

Time =(distance)/speed

Time taken by the raft going with the current to travel x miles is:

12/x hours

Time taken by the raft going against the wind is:

7/y

Total time taken for both raft is 4 hours thus:

12/x+7/y=4

hence the answer is:

D. x/12 + y/7 = 4

Time taken by the raft going with the current to travel x miles is:

12/x hours

Time taken by the raft going against the wind is:

7/y

Total time taken for both raft is 4 hours thus:

12/x+7/y=4

hence the answer is:

D. x/12 + y/7 = 4

Question

Aaron borrows $150 from his friend Austin. He promises to pay back the money in 4 monthly installments. Each month he wants to pay half the amount he paid the previous month. Assuming Austin does not charge any interest, how much should Aaron pay the first month to repay the money as scheduled?

Solution 1

Assume first month's price is x

The Equation :

x+1/2x+1/4x+1/8x = 150

Multiply every term by 8 to get whole numbers

8x+4x+2x+x = 1200

15x = 1200

x = 80

Solution 2

This can be expressed by,Â

80 + 40 + 20 + 10 = 150

80 + 40 + 20 + 10 = 150

Question

Solve the system using substitution or elimination and describe your steps. Be sure to verify your solution. â€¢ x = y - 3 2x + y = 12

Solution 1

x = y - 3

2x + y = 12

substituteÂ x = y - 3Â into 2x + y = 12

2x + y = 12

2(y - 3Â )+ y = 12

2y - 6 + y = 12

3y - 6 = 12

3y = 18

Â y = 6

substitute y = 6 intoÂ x = y - 3 to find x

x = y - 3

x = 6 - 3

x = 3

answer

x = 3 and y = 6

2x + y = 12

substituteÂ x = y - 3Â into 2x + y = 12

2x + y = 12

2(y - 3Â )+ y = 12

2y - 6 + y = 12

3y - 6 = 12

3y = 18

Â y = 6

substitute y = 6 intoÂ x = y - 3 to find x

x = y - 3

x = 6 - 3

x = 3

answer

x = 3 and y = 6

Question

For what value of c will this function have one zero?
f(x) = X^2 +c

Solution 1

XÂ² + c is actually a quadratic function.

And xÂ² + c = 0,Â it usually has two zeros which are solutions.

But for when c = 0,

xÂ² + c = 0

xÂ² + 0 = 0

xÂ² = 0

Taking the square root of both sides.

x = 0.Â Here it only has one zero.

So the function xÂ² + c,Â only has one root forÂ c = 0.

And xÂ² + c = 0,Â it usually has two zeros which are solutions.

But for when c = 0,

xÂ² + c = 0

xÂ² + 0 = 0

xÂ² = 0

Taking the square root of both sides.

x = 0.Â Here it only has one zero.

So the function xÂ² + c,Â only has one root forÂ c = 0.

Question

What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 meters? Round the answer to the nearest square meter. A. 1,100 square meters
B. 1,112 square meters
C. 2,507 square meters
D. 2,605 square meters

Solution 1

We know that

[surface area of the cone]=pi*rÂ²+pi*r*l

whereÂ

r is the radius

l is the slant height

lÂ²=hÂ²+rÂ²

h=43 m

r=14/2---> 7 m

lÂ²=43Â²+7Â²----> lÂ²=1898--------> l=43.57 m

[surface area of the cone]=pi*7Â²+pi*7*43.57----> 1111.53 mÂ²----> 1112 mÂ²

**the answer is the optionÂ **

**Â ****B. 1,112 square meters**

[surface area of the cone]=pi*rÂ²+pi*r*l

whereÂ

r is the radius

l is the slant height

lÂ²=hÂ²+rÂ²

h=43 m

r=14/2---> 7 m

lÂ²=43Â²+7Â²----> lÂ²=1898--------> l=43.57 m

[surface area of the cone]=pi*7Â²+pi*7*43.57----> 1111.53 mÂ²----> 1112 mÂ²

Question

Beatrice buys a dishwasher for her new house. The price of the dishwasher is D dollars, and she pays an additional 2% tax. Match the expressions to their correct meanings for Beatrice.

Solution 1

The total amount of $ that this person will have to pay for the dishwasher is given by 1.02D (dollars).

Question

Step-by-step solution for: (âˆš2+âˆš10)^2

Solution 1

Note:Â âˆša * âˆšaÂ = a

Â Â Â Â Â Â âˆša * âˆšbÂ = âˆšab

(âˆš2 + âˆš10)Â²Â =Â (âˆš2 + âˆš10)(âˆš2 + âˆš10)

Â Â Â Â Â Â Â Â Â Â =Â âˆš2(âˆš2 + âˆš10) + âˆš10(âˆš2 + âˆš10)

Â Â Â Â Â Â Â Â Â Â = Â âˆš2*âˆš2 + âˆš2*âˆš10 + âˆš10*âˆš2 + âˆš10*âˆš10

Â Â Â Â Â Â Â Â Â Â =Â Â Â Â 2Â Â Â + âˆš20Â + âˆš20 + 10

Â Â Â Â Â Â Â Â Â Â Â =Â Â Â (2 + 10) + (âˆš20 + âˆš20)

Â Â Â Â Â Â Â Â Â Â Â =Â Â Â Â 12 +Â 2âˆš20

âˆš20 = âˆš(4 *5) = âˆš4 * âˆš5 = 2âˆš5

Â Â Â Â Â Â Â Â Â Â Â =Â Â Â Â 12 +Â 2âˆš20Â = 12 + 2(2âˆš5)

Â Â Â Â Â Â Â Â Â Â Â = 12 + 4âˆš5

Â Â Â Â Â Â âˆša * âˆšbÂ = âˆšab

(âˆš2 + âˆš10)Â²Â =Â (âˆš2 + âˆš10)(âˆš2 + âˆš10)

Â Â Â Â Â Â Â Â Â Â =Â âˆš2(âˆš2 + âˆš10) + âˆš10(âˆš2 + âˆš10)

Â Â Â Â Â Â Â Â Â Â = Â âˆš2*âˆš2 + âˆš2*âˆš10 + âˆš10*âˆš2 + âˆš10*âˆš10

Â Â Â Â Â Â Â Â Â Â =Â Â Â Â 2Â Â Â + âˆš20Â + âˆš20 + 10

Â Â Â Â Â Â Â Â Â Â Â =Â Â Â (2 + 10) + (âˆš20 + âˆš20)

Â Â Â Â Â Â Â Â Â Â Â =Â Â Â Â 12 +Â 2âˆš20

âˆš20 = âˆš(4 *5) = âˆš4 * âˆš5 = 2âˆš5

Â Â Â Â Â Â Â Â Â Â Â =Â Â Â Â 12 +Â 2âˆš20Â = 12 + 2(2âˆš5)

Â Â Â Â Â Â Â Â Â Â Â = 12 + 4âˆš5

Question

If 2x2 â€“ 13x + 20 = (2x â€“ 5)(x â€“ 4), which equation(s) should be solved to find the roots of 2x2 â€“ 13x + 20 = 0? Check all that apply. A. 2x â€“ 5 = 0
B. x + 4 = 0
C. 2x â€“ 5 = x â€“ 4
D. 2x + 5 = 0
E. x â€“ 4 = 0

Solution 1

Hence, the Â correct options are:

**A. 2x-5 = 0**

**and Â E. x-4 = 0**

We are given a factorization of a polynomial function as:

The roots of the equation are the possible value of x such that the polynomial function is zero at that point.

i.e. we have to find x such that:

which could also be written as:

Hence, the equation that satisfy this equation is:

**Hence, the Â correct options are:**

**A. 2x-5 = 0**

**and Â E. x-4 = 0**

Solution 2

2x^2 â€“ 13x + 20

= (2x â€“ 5)(x â€“ 4)

to find roots of 0 thenÂ (2x â€“ 5)(x â€“ 4) = 0

then (2x â€“ 5) = 0 and (x â€“ 4) = 0

answer

A. 2x â€“ 5 = 0

E. x â€“ 4 = 0

= (2x â€“ 5)(x â€“ 4)

to find roots of 0 thenÂ (2x â€“ 5)(x â€“ 4) = 0

then (2x â€“ 5) = 0 and (x â€“ 4) = 0

answer

A. 2x â€“ 5 = 0

E. x â€“ 4 = 0

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