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2 months ago

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2 months ago

Let

x------------> a birthday dinner at a restaurant, including a 15% tip.

we know that

Kristin decides to spend at most $50

so

x <= $50

**the answer part a) is**

**x <= 50**

Part b) What is the most that her meal can cost before a tip?

the tip is 15%

so

cost after tip=1.15*cost before a tip

cost before a tip=cost after tip/1.15

50/1.15-------> $43.48

**the answer part b) is **

**$43.48**

x------------> a birthday dinner at a restaurant, including a 15% tip.

we know that

Kristin decides to spend at most $50

so

x <= $50

Part b) What is the most that her meal can cost before a tip?

the tip is 15%

so

cost after tip=1.15*cost before a tip

cost before a tip=cost after tip/1.15

50/1.15-------> $43.48

Question

What is compound interest? A - the interest earned on the principal of an investment
B - the interest earned on both the principal and interest of an investment or savings account
C - the interest earned on a mutual fund
D - the interest earned on a loan

Solution 1

That would be B . The interest is earned on the principal and interest earned previously.

Solution 2

The correct answer is

The interest is earned on the principal and interest earned previously

:)

Question

If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.

Solution 1

By proportion that would be 8/5 * 1/4 = 8/20 = 2/5 of a pizza.

Question

Express your answer as a decimal (to the nearest hundredth). What part of an hour is 20 minutes?

Solution 1

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, 3…; Ace, King, Queen…; 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, an**experiment** is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes. Thus, an experiment is a process that you can do over and over, where each result does not affect the next. For example: 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 a Tails. Thus, Head, Tail are the outcomes of tossing a coin The set of possible outcomes from an experiment is called the sample space of the experiment.

Part 3.

Probability is the measure of how likely an event is to occur. Probability takes values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. 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 values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. A probability of 0 implies that the occurrence of the event is impossible. For example: It is impossible to roll 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 values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. A probability of 1 implies that the occurrence of the event is certain. For example: It is certain that a ball picked from a bag containing only red balls will be red.

Part 6.

Theoretical probability is what you expect to happen. In theoretical probability, we do not conduct an experiment, rather we use our knowledge about a situation, some logical reasoning, and/or known formula to calculate the probability of an event happening. 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, an

Part 2.

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

Part 3.

Probability is the measure of how likely an event is to occur. Probability takes values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. 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 values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. A probability of 0 implies that the occurrence of the event is impossible. For example: It is impossible to roll 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 values between 0 and 1, where, 0 indicates impossibility and 1 indicates certainty. A probability of 1 implies that the occurrence of the event is certain. For example: It is certain that a ball picked from a bag containing only red balls will be red.

Part 6.

Theoretical probability is what you expect to happen. In theoretical probability, we do not conduct an experiment, rather we use our knowledge about a situation, some logical reasoning, and/or known formula to calculate the probability of an event happening. 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,

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. • x = y - 3 2x + y = 12

Solution 1

x = y - 3

2x + y = 12

substitute x = y - 3 into 2x + y = 12

2x + y = 12

2(y - 3 )+ y = 12

2y - 6 + y = 12

3y - 6 = 12

3y = 18

y = 6

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

x = y - 3

x = 6 - 3

x = 3

answer

x = 3 and y = 6

2x + y = 12

substitute x = y - 3 into 2x + y = 12

2x + y = 12

2(y - 3 )+ y = 12

2y - 6 + y = 12

3y - 6 = 12

3y = 18

y = 6

substitute y = 6 into 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

X² + c is actually a quadratic function.

And x² + c = 0, it usually has two zeros which are solutions.

But for when c = 0,

x² + c = 0

x² + 0 = 0

x² = 0

Taking the square root of both sides.

x = 0. Here it only has one zero.

So the function x² + c, only has one root for c = 0.

And x² + c = 0, it usually has two zeros which are solutions.

But for when c = 0,

x² + c = 0

x² + 0 = 0

x² = 0

Taking the square root of both sides.

x = 0. Here it only has one zero.

So the function x² + c, only has one root for 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*r²+pi*r*l

where

r is the radius

l is the slant height

l²=h²+r²

h=43 m

r=14/2---> 7 m

l²=43²+7²----> l²=1898--------> l=43.57 m

[surface area of the cone]=pi*7²+pi*7*43.57----> 1111.53 m²----> 1112 m²

**the answer is the option **

** ****B. 1,112 square meters**

[surface area of the cone]=pi*r²+pi*r*l

where

r is the radius

l is the slant height

l²=h²+r²

h=43 m

r=14/2---> 7 m

l²=43²+7²----> l²=1898--------> l=43.57 m

[surface area of the cone]=pi*7²+pi*7*43.57----> 1111.53 m²----> 1112 m²

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