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N a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?



N a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?

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Read the excerpt from Chapter 5 of Wheels of Change. These traits led commentators to worry that the differences between the sexes were being blurred, a fear that was reinforced as the four newest states—Wyoming, Colorado, Utah, and Idaho—granted women the right to vote in the 1890s. Would the bicycle help bring about a new kind of equality between men and women? Elizabeth Cady Stanton and her colleagues certainly hoped so. At any rate, the image of a female cyclist quickly became associated with efforts to win more rights for women. What conclusion does Macy draw in this synthesis of ideas? Women were granted the right to vote in four states as a direct result of the bicycle’s invention. Female cyclists were quickly becoming associated with efforts to win more rights for women. Stanton and her colleagues hoped women cyclists would join their fight for women’s rights. Wyoming, Colorado, Utah, and Idaho were home to the highest percentage of women cyclists.


Female cyclists were quickly becoming associated with efforts to win more rights for women.

At the end of the passage, usually where a conclusion is stated, it says that the image of a female cyclist was becoming a symbol for women’s rights. The passage does not tell the reader anything about the percentage of women cyclists. While it does tell the reader about women being granted the right to voted, the connection between that and the bicycle is that it blurs the differences between the sexes. Both men and women were riding bicycles and they were both voting. There is also nothing in the passage about women cyclists as a group joining or not joining the women’s rights movement.

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What is the correct senteces? Jon won't (win the race) because he's got a map



What is the correct senteces? Jon won’t (win the race) because he’s got a map

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What is a good minesweeper win percentage?



What is a good minesweeper win percentage?

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Which leader did the united states support in the chinese civil war, jiang jieshi or mao zedong, and why did that leader win u.s. support?


Such diverse historical figures as Jesus Christ, napoleon, Julius Caesar, Adolf Hitler, Winston Churchill, Franklin Roosevelt, Martin Luther King, Jr., and Cesar Chavez, are examples of Charismatic leaders. The reason is that they were able to inspire and motivate many followers. They were all good communicators and convinced the audience about their ideas and opinions.

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A person in a casino decides to play blackjack until he loses a game, but he will not play more than 3 games. let l denote a loss and w denote a win. what is the sample space for this random experiment


Answer:

The age of a rock is determined by the function:

A(t) = A_0 cdot e^{-0.000002t}             …..[1]

where,

A(t) be the age of rock after t years

A_0 be the initial value of Isotope Q.

t be the number of years.

As per the statement:

A sample originally has 80 grams of Isotope Q, decays, and now has 20 grams of the isotope.

A_0 = 80 gram and A(t) = 20 grams

Substitute in [1] we have;

20 =80 cdot e^{-0.000002t}

Divide both sides by 80 we have;

0.25 = e^{0.000002t}

Taking ln with base e both sides we have;

ln 0.25 = -0.000002t

-1.3862943611199 = -0.000002t

Divide both sides by 0.000002 we have;

693147.18056  = t

or

t = 693147.18056  years

Therefore, the current age of the sample, in years to the nearest thousand years is, 6,93,147 year

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The main purpose of a political party is to _______ in order to control government and implement its policies. win elections control congress nominate candidates make laws



The main purpose of a political party is to _______ in order to control government and implement its policies. win elections control congress nominate candidates make laws

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11. A tournament has 12 hockey teams participating. Find the number of different ways that teams can win gold, silver, and bronze trophies.


You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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In a casino, the chance of winning a certain game is 14.5%. If you play the game 20 times, what’s your best estimate for the number of times you would win? Round off your answer to the nearest whole number.


You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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James is hosting a game show where a contestant has to draw a ball that is one of four colors from a pot. Each day, a ball of a particular color will win. To mix up the possibilities, James decides to keep unequal number of balls for each color. There will be as many black balls as red balls. Green balls and red balls should add up to 10. There should be 10 more blue balls than red balls. A math expert tells James that he should have at least 2,304 possible combinations to provide sufficient difficulty. Identify the values for the number of red balls the pot should have to ensure that James’ condition is met.


Answer:

Here,

s represents the cost of soup and c represents the number of can,

Also, s varies directly with c,

⇒ s ∝ c

⇒ s = kc —–(1)

Where, k is the proportionality constant,

Given, when c = 4, s = 3,

From equation (1),

3=k(4)

implies k=frac{3}{4}

Again from equation (1),

s=frac{3}{4}c

Let x-axis represents the number of can and y-axis represents the cost of soup,

For graphing :

s=frac{3}{4}c is a straight line

Where, s ≥ 0 and c ≥ 0 ( cost and number of cans can not be negative )

When, c = 0, s = 0,

When c = 4, s=frac{3}{4}times 4=3

When c = 8, s=frac{3}{4}times 8=6

When c = 16, s=frac{3}{4}times 16=12

Thus, the line s=frac{3}{4}c  is passing from the points (0,0), (4,3), (8,6) and (16,12).

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Food express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt . So far, 129 of the first 138 customers have not received a star on their receipts. What is the experimental probability of winning a free gallon of milk? A, 3/46 B, 43/46 C, 11/138 D, 43/138


Answer:

Option D is correct answer.

Step-by-step explanation:

Independent events are those in which the occurrence of one event does not affect the occurrence of the second.

A – observing the numeric outcomes of rolling the same number cube twice consecutively. This is independent event.

B – observing the numeric outcomes of rolling two number cubes at the same time. This is independent event. As two number cubes are not dependent on each other.

C – observing the numeric outcomes of rolling three or more number cubes at the same time. This is independent event.

D – observing the numeric outcomes of rolling a number cube once, then rolling it again, ignoring the outcome if it matches the first. This is a dependent event as a single cube is rolled again and the outcomes are dependent.

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Three people are running for class president. From a poll that was taken, the probability that Candidate A will win is estimated to be 0.3. The probability that Candidate B will win is estimated to be 0.55. Given a reasonable estimate of the probability that Candidate C will win.


For a normally distributed data, with mean, μ, and standard deviation, σ, the probability that a randomly selected data, X, is less than a given value, x, is given by
P(X textless  x)=P left(z textless   frac{x-mu}{sigma} right)
and the probability that a randomly selected data, X, is greater than a given value, x, is given by
P(X  textgreater   x)=P left(z textgreater  frac{x-mu}{sigma} right)=1-P left(z textless  frac{x-mu}{sigma} right)

Given that the length of a social media interaction is normally distributed with a mean of 3 minutes and a standard deviation of 0.4 minutes, the probability that an interaction lasts longer than 4 minutes is given by
P(X textgreater  4)=Pleft(X textgreater   frac{4-3}{0.4} right) \  \ =P(X textgreater  2.5)=1-P(X textless  2.5)

We use the normal distribution table or calculator to evalute that P(X < 2.5) = 0.99379

Therefore, the probability that an interaction lasts longer than 4 minutes = 1 – 0.99379 = 0.00621
[the last option]

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Mike and Tom is going on a race for 2 miles, Mike is trying to go less than 14 min, while Tom is trying to go for less than 12 min. Which best summaries the question? A. Mike and Tom are going on a race B. Mike and Tom are going on a race track C. Both are trying to beat their times, and win D. Both are trying to go less than their minutes. E. There was no race. F. None of the above

There are actually TWO correct answers given in this question; which are the third AND fourth answer choices:
___________________
Answer choice 3:
________________________
“There’s nothing we like better than to relax, watch movies, and hang out.”
________________________
Answer choice 4:
___________________
“When you make friends, you should stay in touch, smile and be nice.”
___________________
Let us review the answer choices.
____________________
Consider the first answer choice:
_________
“It is important to study, staying on top of your homework, and go to class.”
________
This answer choice does NOT use parallel structure. To make this answer choice use parallel structure, we would need the sentence to:
________
“It is important to study, stay on top of your homework, and go to class.” ; OR:
__________
“Studying, staying on top of your homework, and going to class are important.”
____________
Let us examine the second answer choice given:
___________________
“My three favorite activities are writing, reading, and go to the library.”
_________
This answer choice does NOT use parallel structure. To make this answer choice use parallel structure, we would have to rewrite the sentence as:
_________
“My three favorite activities are writing, reading, and going to the library.”
________

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A slot machine consists of 3 reels, and each real consists of 32 stops. To win the jackpot of $10,000, a player must get a wild symbol on the center line of each reel. If each of the first two reels has two wild symbols and the third reel has three wild symbols, find the probability of winning the jackpot.


Answer:

0.25(22 – d) + d = 10.75

Step-by-step explanation:

Here, d represents the number of dollar coins,

Since, the total coins = 22,

So, the number of quarts coin = 22 – d,

Also, 1 quarts = $ 0.25

Thus, the cost of 22-d quarts and d dollars = ( 0.25(22-d) + d ) dollars,

According to the question,

Total cost of coins = $ 10.75

0.25(22-d) + d = 10.75

Which is the required equation.

Third option is correct.

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Morgan rolls a number cube, twice. If the number 1 shows up at least once, Morgan wins. Otherwise, Jaclyn wins. How much greater is the probability that Morgan will win compared to Jaclyn winning? A)1/3 B)7/18 C)4/9 D)2/3

Answer:

Step-by-step explanation:

Given is the graph bell shaped.

We have to find the variance of the data

We see that the graph looks like a normal distribution curve symmetrical about x=19

Hence mean =19

Since we know maximum area covered within 3 std deviations on either side of mean, we can calculate 6 sigma value from the graph

Extreme left x value = 14 and right = 24

Hence 6 times std dev =24-14 =10

So std deviation = 10/6 =5/3

Variance = 25/9

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4. Why did Loyalists want to remain part of the British Empire? A. The Patriots were in negotiations to join the French Empire. B. They didn’t share the same culture and history as the Patriots. C. They feared invasion from Spain without British protection. D. They feared that revolution would lead to a destructive war that the British would win.


On this day in 1968, at the Democratic National Convention in Chicago, tens of thousands of Vietnam War protesters battle police in the streets, while the Democratic Party falls apart over an internal disagreement concerning its stance on Vietnam. Over the course of 24 hours, the predominant American line of thought on the Cold War with the Soviet Union was shattered.

Since the end of World War II, the U.S. perspective on the Soviet Union and Soviet-style communism was marked by truculent disapproval. Intent on stopping the spread of communism, the United States developed a policy by which it would intervene in the affairs of countries it deemed susceptible to communist influence. In the early 1960s, this policy led to U.S. involvement in the controversial Vietnam War, during which the United States attempted to keep South Vietnam from falling under the control of communist North Vietnam, at a cost of more than 2 million Vietnamese and nearly 58,000 American lives.

The “Cold War consensus,” in U.S. government, however, fractured during the Democratic National Convention in Chicago in 1968. Democratic delegates from across the country were split on the question of Vietnam. A faction led by Eugene McCarthy, a committed anti-war candidate, began to challenge the long-held assumption that the United States should remain in the war. As the debate intensified, fights broke out on the convention floor, and delegates and reporters were beaten and knocked to the ground. Eventually, the delegates on the side of the status quo, championed by then-Vice President Hubert Humphrey, won out, but the events of the convention had seriously weakened the party, which went on to lose the following election.

Meanwhile, on the streets of Chicago, several thousand anti-war protesters gathered to show their support for McCarthy and the U.S. withdrawal of troops from Vietnam. Chicago Mayor Richard Daley deployed 12,000 police officers and called in another 15,000 state and federal officers to contain the protesters. The situation then rapidly spiraled out of control, with the policemen severely beating and gassing the demonstrators, as well as newsmen and doctors who had come to help.

The ensuing riot, known as the “Battle of Michigan Avenue,” was caught on television, and sparked a large-scale change in American society. For the first time, many Americans came out in virulent opposition to the Vietnam War, which they had begun to feel was pointless and wrongheaded. No longer would people give the national government unrestrained power to pursue its Cold War policies at the expense of the safety of U.S. citizens.

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Yi and Sue play a game. They start with the number 42000. Yi divides by a prime number, then passes the quotient to Sue. Then Sue divides this quotient by a prime number and passes the result back to Yi, and they continue taking turns in this way. For example, Yi could start by dividing 42000 by 3. In this case, he would pass Sue the number 14000. Then Sue could divide by 7 and pass Yi the number 2000, and so on. The players are not allowed to produce a quotient that isn’t an integer. Eventually, someone is forced to produce a quotient of 1, and that player loses. For example, if a player receives the number 3, then the only prime number (s)he can possibly divide by is 3, and this forces that player to lose. Who must win this game


Naturally, any integer n larger than 127 will return 127equiv127mod n, and of course 127equiv0mod127, so we restrict the possible solutions to 1le n<127.

Now,

127equiv7mod n

is the same as saying there exists some integer k such that

127=nk+7

We have

implies 120=nk

which means that any n that satisfies the modular equivalence must be a divisor of 120, of which there are 16: {1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}.

In the cases where the modulus is smaller than the remainder 7, we can see that the equivalence still holds. For instance,

127=21cdot6+1iff127equiv1equiv7mod6

(If we’re allowing n=1, then I see no reason we shouldn’t also allow 2, 3, 4, 5, 6.)