Find the missing number in the equation. 3+6+5= 20-(4+_)

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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Answer:

\(a = - \frac{1}{9} \)

Step-by-step explanation:

\(5a - 2 = 23a\)

Collect like terms and simplify

\( - 2 = 23a - 5a \\ - 2 = 18a\)

Divide both sides of the equation by 18 and simplify

\( \frac{ - 2}{18} = \frac{18a}{18} \\ - \frac{1}{9} = a\)

Answer:

answer. -9

Step-by-step explanation:

5a-2=23a

5a-23a=2

-18a=2

a=-18/2

a=-9

The treatment sum of squares measures the variability of the sample treatment means around the overall mean.

A mean can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

This ultimately implies that, a mean score is an average score and it can be calculated by dividing the total number of scores obtained by total number of samples in a data set (population).

In ANOVA, the following sum of squares can be used to measure the variation about the mean:

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There are 132 ways to choose a president and secretary from the local garden club.

The number of ways a president and secretary can be chosen from the local garden club can be determined using the permutation formula, which is given by n! / (n-r)!, where n is the total number of items and r is the number of items to be chosen.

In this case, n = 12 and r = 2, since we are choosing a president and secretary from the 12 members of the local garden club.

Using the permutation formula, we get:

12! / (12-2)! = 12! / 10! = (12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = 132

Therefore, there are 132 ways to choose a president and secretary from the local garden club.

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Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = \(\frac{1}{2}\) , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (- 3, 2 ) into the partial equation

2 = - \(\frac{3}{2}\) + c ⇒ 2 + \(\frac{3}{2}\) = \(\frac{7}{2}\) = 3.5

y = \(\frac{1}{2}\) x + 3.5 ← equation of line

Answer:

208.16

Step-by-step explanation:

Answer:

208 4/25

Step-by-step explanation:

420 3/50-212 9/10

420 52/50 - 212 9/10

420-212:208

Combine

53/50-- 9/10 : 4/25

Answer 208 + 4/24

or just

208

Answer:

Option A is the correct option

Step-by-step explanation:

\(5x = 35\)

Divide both sides of the equation by 5

\( \frac{5x}{5} = \frac{35}{5} \)

Calculate

\(x = 7\)

Hope this helps...

Best regards!!

Answer:

Option A

Step-by-step explanation:

5x = 35

5x/5 = 35/5

x = 7

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

\(x=\frac{2}{3}\pm\frac{\sqrt{26}}{3}i\)

Step-by-step explanation:

\(3x^2+10=4x\\\\3x^2-4x+10=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-(-4)\pm\sqrt{(-4)^2-4(3)(10)}}{2(3)}\\ \\x=\frac{4\pm\sqrt{16-120}}{6}\\ \\x=\frac{4\pm\sqrt{-104}}{6}\\ \\x=\frac{4\pm2\sqrt{26}i}{6}\\ \\x=\frac{4}{6}\pm\frac{2\sqrt{26}}{6}i\\\\x=\frac{2}{3}\pm\frac{\sqrt{26}}{3}i\)

Answer:

\(A=\$77765.69\)

Step-by-step explanation:

Let the principal/initial value be \(P=\$25300\), the number of times the interest is compounded per year be \(k=12\), and the annual interest rate be \(r=4.5\%=0.045\) where we need to plug in \(t=25\):

\(\displaystyle A=P\biggr(1+\frac{r}{k}\biggr)^{kt}\\\\A=\$25300\biggr(1+\frac{0.045}{12}\biggr)^{12(25)}\\\\A\approx\$77765.69\)

The "first" fοr bοth sides in the skies οver Kοrea was air-tο-air cοmbat by pursuit aircraft. Thus, option d. is correct.

During the cοnflict in Kοrea, air-tο-air cοmbat by pursuit aircraft marked a significant develοpment fοr bοth sides. This refers tο engagements between fighter aircraft frοm οppοsing fοrces in aerial warfare. It represented a new dimensiοn οf warfare as aircraft were deplοyed tο engage and shοοt dοwn enemy planes.

Air-tο-air cοmbat intrοduced a dynamic and intense aspect tο the cοnflict, as pilοts frοm different natiοns engaged in dοgfights tο gain air superiοrity. It invοlved tactics such as aerial maneuvers, target tracking, and the use οf weapοnry tο shοοt dοwn enemy aircraft.

This develοpment shοwcased the evοlving rοle and impοrtance οf fighter jets in mοdern warfare. It highlighted the significance οf air superiοrity and the need tο cοntrοl the skies tο gain a strategic advantage. Air-tο-air cοmbat played a crucial rοle in shaping the cοurse οf the Kοrean War and demοnstrated the increasing reliance οn aerial capabilities in military οperatiοns.

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The probability that a randomly selected member of Congress who favours corporate tax reform is a Democrat is 0.4444, rounded to four decimal places.

To solve this problem, we can use Bayes' theorem. Let D represent the event that the selected member is a Democrat, and R represent the event that the selected member is a Republican, and I represent the event that the selected member is an Independent. Let F represent the event that the selected member favors some type of corporate tax reform. We are given the following probabilities:

P(R) = 0.28, P(D) = 0.50, P(I) = 0.22

P(F|R) = 0.34, P(F|D) = 0.35, P(F|I) = 0.31

We want to find P(D|F), the probability that the selected member is a Democrat given that they favor corporate tax reform. We can use Bayes' theorem:

P(D|F) = P(F|D)P(D) / [P(F|D)P(D) + P(F|R)P(R) + P(F|I)P(I)]

Plugging in the values we know, we get:

P(D|F) = 0.35 * 0.50 / [0.35 * 0.50 + 0.34 * 0.28 + 0.31 * 0.22]

P(D|F) = 0.4444 (rounded to four decimal places)

Therefore, the probability that the selected member is a Democrat given that they favour corporate tax reform is 0.4444.

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The expected value for a student to spend on lunch each day from the survey of 50 students is $5.18.

The expected value for a student to spend on lunch each day is derived from the survey of 50 students. This value is calculated by taking the total number of dollars spent by all of the surveyed students and dividing it by the total number of students surveyed. In this particular survey, the total number of dollars spent was $247, and the total number of students surveyed was 50. Dividing $247 by 50 gives us a value of $4.94. This value is then rounded up to the nearest cent to give us the expected value of $5.18. This expected value is the average amount of money that a student can expect to spend on lunch each day from the survey. It is important to note that this value is an estimate, as individual student spending habits may vary greatly.

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y1(t) = t is a solution to the given second-order differential equation, while y2(t) = sin(t) is not. the general solution of the given second-order differential equation is:y(t) = C1t + C2sin(t) (where C1 and C2 are constants

a) To determine if y1(t) = t and y2(t) = sin(t) are both solutions to the given second-order differential equation:

(1 - t⋅cot(t))y'' - ty' + y = 0

Let's calculate the derivatives of y1(t) and y2(t) and substitute them into the differential equation:

For y1(t) = t:

y1'(t) = 1

y1''(t) = 0

Substituting into the differential equation:

(1 - t⋅cot(t))(0) - t(1) + t = 0

-t + t = 0

The equation holds true for y1(t) = t. Therefore, y1(t) is a solution to the differential equation.

For y2(t) = sin(t):

y2'(t) = cos(t)

y2''(t) = -sin(t)

Substituting into the differential equation:

(1 - t⋅cot(t))(-sin(t)) - t(cos(t)) + sin(t) = 0

This equation can be simplified using trigonometric identities and algebraic manipulations, but it does not reduce to 0. Therefore, y2(t) = sin(t) is not a solution to the differential equation.

In conclusion, y1(t) = t is a solution to the given second-order differential equation, while y2(t) = sin(t) is not.

b) To determine if y1(t) = t and y2(t) = sin(t) are linearly independent, we need to check if there exist constants C1 and C2, not both zero, such that C1y1(t) + C2y2(t) = 0 for all values of t.

Assume there exist C1 and C2:

C1t + C2sin(t) = 0

To prove linear independence, we need to show that C1 = C2 = 0 is the only solution.

For t = 0:

C1(0) + C2(0) = 0

0 = 0

For t = π:

C1(π) + C2(0) = 0

C1π = 0

Since C1 can be any constant, the only solution is C1 = 0.

Therefore, C1y1(t) + C2y2(t) = 0 reduces to C2sin(t) = 0.

To satisfy this equation for all t, we must have C2 = 0 as well.

Since the only solution is C1 = C2 = 0, y1(t) = t and y2(t) = sin(t) are linearly independent.

Hence, the general solution of the given second-order differential equation is:

y(t) = C1t + C2sin(t) (where C1 and C2 are constants).

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Answer:

51 were the total number of the tickets sold at a school carnival were early-admission tickets.

Step-by-step explanation:

Total number of tickets sold by  = 100

Let \(x\) be the early-admission tickets sold by the school.

As 51% of the tickets sold at a school carnival were early-admission tickets.

so

\(x=\frac{51}{100}\times 100\)

  \(= 51\)

Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.

Answer:

280$

Step-by-step explanation:

1/5*1,400= lizze's savings

==> 280$

The percentile rank for a day in November in Los Angeles with a high temperature of 62°F is approximately 15.87%

To find the probability of observing a temperature of 55°F or higher in Los Angeles in November, we can use the z-score formula and the properties of the normal distribution.

First, we need to calculate the z-score for a temperature of 55°F using the formula:

z = (x - μ) / σ

where x is the temperature, μ is the mean, and σ is the standard deviation.

z = (55 - 69) / 7

z ≈ -2

Next, we need to find the probability corresponding to this z-score using a standard normal distribution table or calculator. Since we're interested in the probability of observing a temperature of 55°F or higher, we want to find the area under the curve to the right of the z-score.

Looking up the z-score of -2 in the standard normal distribution table, we find that the probability is approximately 0.9772.

Therefore, the probability of observing a temperature of 55°F or higher in Los Angeles for a randomly chosen day in November is approximately 0.9772.

For the second part of the question, to find the percentile rank for a day in November in Los Angeles with a high temperature of 62°F, we can follow a similar approach.

First, we calculate the z-score:

z = (x - μ) / σ

z = (62 - 69) / 7

z ≈ -1

We then find the cumulative probability associated with this z-score, which gives us the percentile rank. Looking up the z-score of -1 in the standard normal distribution table, we find that the cumulative probability is approximately 0.1587.

Therefore, the percentile rank for a day in November in Los Angeles with a high temperature of 62°F is approximately 15.87% (rounding to the nearest percentile).

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Answer:

(-4, 5)

Step-by-step explanation:

partitions 1 to 4 means that point will make part of the line where it is 1 part to the other 4 parts. This means there are a total of five parts.

For x, we go from -7 to 8 or 15 units, and we are 1/5 of that distance so 3 units, add that to -7 we get -4.

For y, we go from 8 to -7, or 15 units, and we are 1/5 of that distance so 3 units, subtract that from 8 we get 5.

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Answer:

2.6

Step-by-step explanation:

260%÷100=2.6

2.6×100=260%

Answer:

1*10^2

Step-by-step explanation:

Answer:

The answer would be 1x10^2 since you move the decimal place to the left two times.

Step-by-step explanation:

The outcome is random if we know the possible values it can have, but not which particular value it takes.

Randomness refers to the property of a process or system where the outcome is uncertain, unpredictable, and not predetermined. In a random process, we know the set of possible outcomes.

But we cannot determine which particular outcome will occur until it actually happens. For example, when flipping a fair coin, the possible outcomes are heads or tails.

But we do not know which one will come up until the coin is flipped. Randomness is a fundamental concept in probability theory and is used to model and analyze a wide range of phenomena.

Including games of chance, genetics, and quantum mechanics.

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A slope of b = 0.007 indicates a weak positive relationship between the two variables, where a small increase in the independent variable corresponds to a small increase in the dependent variable.

The slope of a linear relationship represents the rate of change between two variables. In this case, a slope of b = 0.007 suggests a weak positive relationship between the variables. The positive sign indicates that as the independent variable increases, the dependent variable also tends to increase. However, the small value of 0.007 indicates that the increase in the dependent variable is relatively small for each unit increase in the independent variable.

To illustrate, let's consider an example where the independent variable represents time and the dependent variable represents the number of customers in a store. With a slope of 0.007, it means that for every unit increase in time (e.g., one hour), we can expect a small increase of 0.007 customers on average. This indicates a weak positive relationship, as the increase in customers is relatively modest for each unit increase in time.

In summary, a slope of b = 0.007 indicates a weak positive relationship between the two variables, where a small increase in the independent variable corresponds to a small increase in the dependent variable.

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Answer:

18x^4+288x^3+1

Step-by-step explanation:

HOPE THIS HELPS<3

Answer:1/2

Step-by-step explanation: ha ha

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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