Two cards are randomly selected without replacement from a pile of cards labeled with the letters A, E, R, S, and T. What is the probability that both cards are consonants?

Part A: Find the sample space

Part B: What are the favorable outcomes?

Part C: Calculate the probability of selecting 2 cards that are consonants. Show all of your work to support your answer.

Answer:

answer in the diagram I hope it helps

Answer:

Tan 37 = opp/adj  =   1250/x    

where x = horiz distance

7535 = 1250/x      

x = 1658.8 ft

The horizontal distance from the helicopter to the landing pad is 1658.81 feet

9514 1404 393

Answer:

  22 miles per hour

Step-by-step explanation:

Her average speed for the journey is found by dividing the total distance by the total time:

  (50 mi + 60 mi)/(2 h + 3h) = (110 mi)/(5 h) = 22 mi/h

The consecutive page no. are 126 and 127.

An example of a run of consecutive integers is 1, 2, 3, 4. Another illustration is 7, 8, and 9. An integer sequence is a set of numbers where each term is one more than the term before it.

Continually following one another, from smallest to greatest, are consecutive numerals. For instance, the sequence of the numerals 1, 2, 3, 4, 5, and so forth.

The next two numbers are (n + 1) and (n + 2) if n is an integer. Take 1 for n as an example. Its subsequent numbers can be read as (2 and 3), or as (1 + 1) and (1 + 2).

let the consecutive page numbers be x and x+1

according to question ,

          x + x + 1 = 253

          2x = 252

            x = 126

so the consecutive page numbers are 126 and 127.

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He will pick a sample of seniors in this instance.

Given statement,

Dr. Stuart wants to study whether there is a relationship between the number of hours a high school senior spends on social networking sites and their grade point average. he obviously cannot study every 12th grader, so instead, he will select a smaller of seniors to study.

→ In this case he will select a sample of seniors.

→ Dr. Stuart is interested in determining whether there is a correlation between a high school senior's grade point average and the number of hours spent on social networking sites. He will instead choose a smaller sample of seniors to study because he certainly cannot study every student in the 12th grade.

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Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.

Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

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Answer:

9/3+4=

4+3=

7

Step-by-step explanation:

Because of order of operations, we have to divide first. Then we will add the quotient with 4. If m=3, then we will replace m with 3.

9/3 is 3. Now we add.

3+4=7.

---

sorry if this doesn't help

The quadrilaterals with exactly one pair of parallel sides are: Trapezoid and Isosceles Trapezoid.

1. Trapezoid: A trapezoid has exactly one pair of parallel sides. The other two sides are non-parallel. The parallel sides are called the bases, and the non-parallel sides are called the legs.

2. Isosceles Trapezoid: An isosceles trapezoid is a special type of trapezoid where the legs are congruent (equal in length). It has exactly one pair of parallel sides, which are the bases.

Note: In some sources, the term "parallelogram" is also included in this list because a parallelogram technically has one pair of parallel sides. However, a parallelogram is commonly defined separately as a quadrilateral with both pairs of opposite sides parallel. So, depending on the definition being used, a parallelogram may or may not be included in this list.

The quadrilaterals with exactly one pair of parallel sides are: Trapezoid and Isosceles Trapezoid.

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Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Answer:

The answer is 1/12.

Step-by-step explanation:

Think about it this way, 1/3÷8= 1/24.

Double that is 1/12.

Scott has invested money in a savings account that earns an annual interest rate of 8.5%. The detailed solution will provide calculations for the interest earned over a specific period, taking into account the principal amount and the interest rate.

To calculate the interest earned by Scott's savings account, we need to know the principal amount and the time period for which the interest is calculated.

Let's assume Scott has invested $10,000 in the savings account. To calculate the interest earned over a specific period, we can use the formula:

Interest = Principal x Interest Rate

For example, if we consider a one-year period, the interest earned would be:

Interest = $10,000 x 8.5% = $850

So, over one year, Scott would earn $850 in interest.

If the time period is different, we can adjust the calculation accordingly. For instance, if the time period is two years, the interest earned would be:

Interest = $10,000 x 8.5% x 2 = $1,700

Therefore, the detailed solution would involve calculating the interest earned by multiplying the principal amount by the interest rate for the specific time period.

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Answer:

114

Step-by-step explanation:

60+ 54= 114

if my answer helps please mark as brainliest

Answer:

0.03x+0.05=1.50

Hopely this can help you

Step-by-step explanation:

Answer:

15+(2x15)

Step-by-step explanation:

Saturday: she sold 15

Sunday: she sold twice as many which means 15x2=30

when you add them you'll get 45

so 15+(2x15)

first you do the parenthesis (2x15) =30

then you add 15 to 30 which gives you 45.

:)

Answer:

Are political systems related to collective violence and war? This is now fundamentally answered in one of three ways: yes, democracies are least violence prone; yes, socialist equalitarianism assures peace; and no, political systems and violence are unrelated.

Recent theoretical and empirical research confirms the first answer: those political systems that maximize and guarantee individual freedom (democracies) are least violence prone; those that maximize the subordination of all individual behavior to state control (totalitarian systems) the most, whether socialist or not; and wars do not occur between democracies.

Known for centuries, a tenet of classical liberalism, the pacific nature of democracy has became largely forgotten or ignored in the last half-century. That democracy is inherently peaceful is now probably believed by no more than a few prominent peace researchers. In part this has been due to the intellectual defection of Western intellectuals from classical liberalism to some variant of socialism, with its emphasis on the competitive violence and bellicosity of capitalist freedoms. Many intellectuals, and in particularly European and Third World peace researchers, have come to believe that socialist equalitarianism is the answer to violence; others, particularly American liberals, believe that if the socialist are wrong, then at least democracies are no better than other political systems in promoting peace.

Socialism aside, there also has been a rejection of Western values, of which individual freedom is prominent, and acceptance of some form of value-relativism (thus, no political system is better than any other). In some cases this rejection has turned to outright hostility and particularly anti-Americanism, and thus opposition to American values, such as freedom. To accept, therefore, that democratic freedom is inherently most peaceful, is to the value-relativist, to say the unacceptable--that it is better. For another, to accept that this freedom promotes non-violence seems to take sides in what is perceived as the global ideological struggle or power game between the United States and Soviet Union.

Independent of different ideological or philosophical perspectives, several interacting methodological errors have blinded intellectuals and peace researchers to the peacefulness of democracies. One of these is the strong, general tendency to see only national characteristics and overall behavior. Then a nation is rich or poor, powerful or weak, belligerent or pacific. But most important for identifying the relationship between freedom and violence is rather the similarities and differences between two states and their mutual behavior. Thus should be observed a lack of violence and war between democracies; and the most severe violence occurring between those nations with the least freedom.

Another error has been to selectively focus upon the major powers, which include among them not only several democracies having many wars, but also Great Britain having the most. However, a systematic comparison among all the belligerents and neutrals in wars, would uncover the greater peacefulness of democracies.

Along with this selective attention is the tendency to count equally against democracies all of its wars, no matter how mild or small. Thus, the American invasion of Grenada would be one mark against democracy; Hitler's invasion of Poland that initiated World War II would be a similar mark against non-democracies. This stacks any such accounting against democracy.

Finally, while a systematic survey of the literature shows significant support for the inverse relationship between democracy and violence, researchers have done little theoretical testing of this relationship, thus resulting in their overlooking or ignoring it when it appears in their results.

Step-by-step explanation:

Step-by-step explanation:

(6-√2)(6+√2)=36-6√2+6√2-2

=36-2

=34

Answer:

figure 1 and figure 2 AA theorem

figure 3 and figure 4 SAS theorem

the probability that it will rain on the following day, given that it rained tomorrow, is 0.75. Rounded to three decimal places, the answer is 0.750.

Given the probabilities, you can use Bayes' theorem to calculate the probability that it will rain on the following day, given that it rained tomorrow. Bayes' theorem states that: P(A|B) = P(B|A) * P(A) / P(B)

Where: P(A|B) is the likelihood that event A will occur assuming event B has already happened. P(B|A) is the probability of event B given that event A has occurred. The prior probability of event A is P(A). The prior probability of event B is P(B).

In this case, let A be the event that it rains on the following day and B be the event that it rains tomorrow.

So, P(A|B) = P(B|A) * P(A) / P(B) = 0.9 * 0.3 / P(B)

To calculate P(B), you can use the total probability theorem:

P(B) = P(B|A) * P(A) + P(B|~A) * P(~A) = 0.9 * 0.3 + 0.08 * 0.7 = 0.327

Now, you can substitute the values into the formula for P(A|B) to get:

P(A|B) = 0.9 * 0.3 / 0.327 = 0.75

So, the probability that it will rain on the following day, given that it rained tomorrow, is 0.75. Rounded to three decimal places, the answer is 0.750.

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Items: 1 Pen: 1.50

     3 DVDS: ???

Total : 22.50

It is A, 1.5+3d=22.5.

Hope this helps!!!

It is not B because you are not multiplying the number and cost of 3 DVDS by the cost of one pen.

It is not C because you are not subtracting to find the total cost. You are adding.

It is not D because 3d is part of the total cost so that option just doesn't make sense.

Considering the definition of an inequality, the inequality that expresses the previous relationship is 12 < x ≤ 12.2

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that to fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.

It means that the length has to be strictly greater than 12 cm but less than or equal to 12.2 cm. In other words, length of frame must be longer than 12 cm means that x>12, while ength of frame not longer than 12.2 cm means x≤12.2

Finally, the inequality that expresses the previous relationship is

12 < x ≤ 12.2

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Step-by-step explanation:

50words-1 minute

500words- x minute

500÷50=10

The minutes that it would take for the 0702 bus to go from Birmingham to Coventry is 92 minutes.

The latest time that Steve should leave his house so as to get to work on time is 07 56 hours .

If the bus from Birmingham leaves at 07 02 hours, it would reach Coventry at 08 34. The time taken is therefore :

= 08 34 - 07 02

= 1 hour 32 minutes

In minutes, this is:

= 60 minutes in an hour + 32

= 92 minutes

The total time it would take Steve to reach Coventry from Birmingham would be:

= Time to Coventry + Time spent walking from house + Time spent walking in Coventry

= 92 minutes + 9 + 12

= 113 minutes

The time Steve should leave his house at the latest is:

= 10 am - 113 minutes

= 08 07 hours

However, he would miss the 08 35 bus if he did this so he needs to leave in time for the 08 05 bus which is:

= 08 05 - 9 minutes walking

= 07 56 hours

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Answer:

Step-by-step explanation:

According to question

    \(4ax^{2} +9x+c < 0\)

This means that the coefficient of the highest degree term

(\(4ax^{2}\)) must be positive

And the constant term (c) must be negative

So, the according to condition

   4a must be positive,

    which means a must be positive

And, c must be negative

          \(a > 0\\c < 0\)

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Answer:

 \(y = 250x + 4000\)

 \(y = 400x + 400\)

The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.

The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.

Step-by-step explanation:

The general slope-intercept form is given by

\(y = mx + b\)

First option leasing:

The given equation is

\(250x - y + 4000 = 0\)

We need to convert this equation into the slope-intercept form.

 \(y = 250x + 4000\)

where x represents the number of months of ownership and y represents the total amount paid for the car after ‘x' months.

The slope of the equation is 250 which represents the rate at which the value of y is increasing with respect to x.

When x = 0 then y = 4000 which represents the initial payment.

Second option financing:

We are given two points,  

\((x_1, y_1) = (0,400)\)

\((x_2, y_2) = (10,4400)\)

The slope of the equation(m) is given by

 \(m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{4400 - 400}{10 - 0} \\\\m = \frac{4000}{10} \\\\m = 400\)

To find the value of the y-intercept (b),  substitute  any of the given point into the slope intercept equation

 \(y = mx + b \\\\y = 400x + b \\\\400 = 400(0) + b \\\\b = 400\)

So the equation of the second option is

 \(y = 400x + 400\)

The slope of the equation is 400 which represents the rate at which the value of y is increasing with respect to x.

When x = 0 then y = 400 which represents the initial payment.

Comparison in terms of slope:

The slope of first option leasing = 250

The slope of second option financing = 400

The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.

Comparison in terms of y-intercept:

The y-intercept of first option leasing = 4000

The y-intercept of second option financing = 400

The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.

Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

Answer:

since I can't see the whole shape or what the question is asking for, I'm going to assume that the shape is a square and that the question is asking for the perimeter because that appears to be the only way to get 6x–2

\(2(x+2) + 2(2x-3)\\=(2x+4)+(4x-6)\\= 6x-2\)

Step-by-step explanation:

to get the answer 6x–2, you would have to multiply the base by 2 and the height by 2 and add them together.

Answer: 3234 cubic units

Step-by-step explanation:

Volume of cylinder: πr²h

The diameter of the cylinder is 14 units so the radius is 7 units.

Now we'll substitute.

π = 22/7

h = 21

πr²h

π × 7² × 21

22/7 × 49 × 21 = 3,234

The volume is 3,234 cubic units.

Answer: B

Step-by-step explanation:

1. Multiplying two negatives equals a positive.

2. Reduce the numbers with the GCF, 3.

3. Reduce the numbers with the greatest common factor, 2.

4. Multiply the fractions which would give you: 5/6

Answer:

B. 5/6

Step-by-step explanation:

1.multiply -3 by -10 (negative multiplying negative is positive) which will give you 30

2.Then multiply 4 by 9 = 36.

3.u will get 30/36, divide both the numerator and denominator by 6.

4. it will give you 5/6 as an answer.

Answer:

Step-by-step explanation:

I use  84+ CE

stat edit, then fill in the #s

then

vars 5

then

2'nd stat plot, on

then, click stat

Click arrow 1 time to the left to get to Calc

then click (4)(LinReg(ax+b))

then click enter 5 times

(y=-25.31428571x+1000.285714

y=-25.3x+1000.3

now, lets use computer:

y=-25.31(543)+1000.3

y=-12743.03

round to the biggest whole number )

this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing

now I get

y=-25.31428571x+51603.54286

y=-25.3x+51603.5

now, lets use computer:

y=-25.3(543)+51603.5

y=37865.6

round to the biggest whole number:

y=37866

so, year 37866

Using the line of best-fit, it is found that:

---------------------

The line of best-fit is given by:

\(y = bx + a\)

\(b = \frac{\sum (x - \overline{x})(y - \overline{y})}{\sum (x - \overline{x})^2}\)

---------------------

The means are given by:

\(\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5\)

\(\overline{y} = \frac{1015 + 960 + 950 + 902 + 929 + 866}{6} = 937\)

---------------------

The sums are:

\(\sum (x - \overline{x}) = (0 - 2.5) + (1 - 2.5) + ... + (5 - 2.5)\)

\(\sum (y - \overline{y}) = (1015 - 937) + ... + (866 - 937)\)

Using a calculator:

\(\sum (x - \overline{x})(y - \overline{y}) = -443\)

\(\sum (x - \overline{x})^2 = 17.5\)

Thus, the slope is:

\(b = -\frac{443}{17.5} = -25.31\)

And

\(y = -25.31x + a\)

---------------------

Using the means to find a:

\(y = -25.31x + a\)

\(937 = -25.31(2.5) + a\)

\(a = 1000\)

Thus, the linear regression model is:

\(y = -25.31x + 1000\)

---------------------

The number of cases would reach 543 in x years after 2008, and x is found when y = 543. Thus:

\(y = -25.31x + 1000\)

\(543 = -25.31x + 1000\)

\(25.31x = 1000 - 543\)

\(x = \frac{1000 - 543}{25.31}\)

\(x = 18.1\)

2008 + 18 = 2026

The estimate is that the number of cases would reach 543 in the year of 2026.

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Answer:

5y + 15x = 25, 9x - y = -4

Step-by-step explanation:

The standard form is Ax + By = C. We can make this simple by first creating the slope intercept equations of both questions:

1.  y = (-3/5)x + 5

2. y = 9x + 4

For the first one, we must first get rid of the denominator by multiplying everything by 5, so we get 5y = -15x + 25, and then you can add 3x to both sides to arrive at your first standard eqn, 5y + 15x = 25.

For the second, all you need to do is swap the y and the 4, subtracting both y and 4 from each side, arriving at 9x - y = -4