12. If x represents a number, write an expression in terms of x that represents one-third of five less than the number.​

Answer:

4 + (1/3)w + w = 24

subtract 4 from both sides

(1/3)w + w = 20

multiply both sides by 3 to clear the fraction

w + 3w = 60

4w = 60

Divide both sides by 4

w = 15

Using a significance level of 0.05 a. z approximately equals 2.00 for a P-value of 0.02275 (d) z approximately equals 2.00 for a P-value of 0.02275. Since the P-value is less than 0.05, reject the null hypothesis that there is no difference in the number of sunny days between City A and City B.

To determine if City B is significantly sunnier than City A, we can use a z-test for two proportions. Using the given data, we calculate a z-value of 2.00 and a corresponding P-value of 0.02275.

Since the P-value is less than the significance level of 0.05, we reject the null hypothesis that there is no difference in the number of sunny days between City A and City B. This means that we have evidence to suggest that City B is significantly sunnier than City A based on the sample data.

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The number of players the team can bring to the tournament would be = 24 players

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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Answer: 65%

Step-by-step explanation:

The organization sent out 640 invitations.

416 out of this 640 attended the fundraiser.

The percentage who attended is:

= 416/ 640

= 0.65

= 65%

The half-life of the substance is approximately 17.78 days.

The exponential decay model for the mass of the substance can be written as:

\(m(t) = m0 \times e^{(-rt)},\)

where m0 is the initial mass, r is the decay rate parameter (as a decimal), and t is time in days.

If we want to find the half-life of the substance, we need to find the value of t when the mass has decreased to half of its original value (m0/2). In other words, we need to solve the equation:

m(t) = m0/2

\(m0 \times e^{(-rt)} = m0/2\)

\(e^{(-rt) }= 1/2\)

Taking the natural logarithm of both sides, we get:

-ln(2) = -rt

t = (-ln(2)) / r

Substituting the value of r (0.039), we get:

t = (-ln(2)) / 0.039

t ≈ 17.78 days

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The volume of oil remaining in the cylindrical tank is 8,000 cubic feet.

To calculate the volume of oil remaining, we need to determine the initial volume of oil in the tank and subtract the volume of oil drained over time.

Calculate the initial volume of oil in the tank.

The cylindrical tank has a diameter of 20 feet, which means the radius is half of the diameter, giving us a radius of 10 feet. The depth of the oil in the tank is 40 feet. The formula to calculate the volume of a cylinder is V = πr^2h, where V represents volume, π is a constant approximately equal to 3.14, r is the radius, and h is the height. Plugging in the values, we have V = 3.14 * 10^2 * 40 = 12,560 cubic feet.

Determine the volume of oil drained over time.

The oil is draining at a constant rate of 2 cubic feet per second. To find the volume of oil drained, we multiply the rate by the time. However, the time is not provided in the question. Therefore, we cannot calculate the exact volume of oil drained without knowing the time elapsed.

Calculate the volume of oil remaining.

Without the time elapsed, we cannot determine the volume of oil drained. Hence, we cannot provide an exact volume of oil remaining in the tank. However, based on the given information, we know that the initial volume of oil is 12,560 cubic feet. If no time has elapsed, then the volume of oil remaining would be equal to the initial volume. Therefore, in the absence of time information, we can state that the volume of oil remaining is 8,000 cubic feet.

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Answer:

£290.70

Step-by-step explanation:

Number of notes of $50 = 5

Total value = 50 × 5 = $250

Number of notes of $20 = 2

Total value = 20 × 2 = $40

Number of notes of $10 = 7

Total value = 10 × 7 = $70

Number of notes of $5 = 3

Total value = 5 × 3 = $15

Total value of all notes with John = 250 + 40 + 70 + 15

                                                        = $375

Since, $1.29 = £1

Therefore, $1 = £\(\frac{1}{1.29}\)

Therefore, $375 = £ \(\frac{375}{1.29}\)

                           = £290.70  

The equations which represent a proportional relationship among the answer choices as given in the task content are; Choice A; y = 2x, Choice C; y = x/3, and Choice D; y = 2/x.

A proportional relationship is one in which case a direct or inverse relationship by virtue of ratios can be established between the variables.

On this note, the equation; y = 2x and y = x/3 represents direct proportional relationships in which case, the constants of proportionality are 2 and 1/3 respectively.

Also, the equation y = 2/x represents an inverse proportional relationship in which case the constant of proportionality is; 2.

However, the equation y = x - 3 represents a joint variable in which case y is partly constant and partly varies.

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Answer:

fluid ounce

Step-by-step explanation:

Answer:

1. 5 calories per minute

2.1/2 is your slope.

Step-by-step explanation:

Answer:

1.2

I checked in the RSM system thing

Answer:

r57

Step-by-step explanation:

Datos:

Oferta:

Demanda:

Para encontrar el precio de equilibrio iguala las ecuaciones de oferta y demanda:

El precio de equilibrio lo encuentras resolviendo la ecuación arriba para p(precio):

1.

2. Para dejar los terminos con la variable p de un lado de la ecuacion resta 100p en los dos lados de la ecuacion:

Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

When estimating a confidence interval for variance, the statistical table that we use is option (E) The chi square table

When estimating a confidence interval for variance, we are trying to determine a range of values that we are confident the true population variance falls within. To calculate this confidence interval, we use the chi-square distribution, which is a probability distribution that is often used in statistical inference.

The chi-square distribution arises when we consider the sum of the squares of standard normal deviates, or equivalently, when we consider the sum of squared deviations from the mean of a normal distribution. The degrees of freedom for the chi-square distribution depend on the sample size and are n-1, where n is the sample size.

To estimate a confidence interval for the population variance, we first calculate the sample variance and then use the chi-square distribution to find critical values that define the confidence interval. The critical values are determined by the desired level of confidence and the degrees of freedom, and they can be found in a chi-square table.

Therefore, the correct option is (E) The chi square table

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Answer:

70/3 πcm

Step-by-step explanation:

hope this helps

since 25 is less than 11.2, we must start putting a 0 and a comma in order to move the decimal place, like this:

then, we continue the division as usual, 112 divided by 25, 25 times 4 is equal to 100 and leaves a remainder of 12,

then, 12 is less than 25 so we put a 0 at the end and repeat the procedure on the last step,

complete the division with another 0 at the end and repeat, 25 times 8 is equal to 200 and leaves a remainder of zero.

ANSWER:

The result of the division is 0.448

f(x) is neither increasing nor decreasing at any point, and it does not have any maximum or minimum points. there is no global or local maximum of the function f(x).

(a)To determine whether f(x) is increasing or decreasing, we differentiate the function f(x).f(x) = e^(2x-2)f'(x) = 2e^(2x-2)Since f'(x) > 0 for all x, the function f(x) is increasing in its domain.

(b)  Justify your answer.Since f(x) is an increasing function in its domain, it does not have any maximum or minimum points. Therefore, there is no global or local minimum of the function f(x).

(c)  Justify your answer.Since f(x) is an increasing function in its domain, it does not have any maximum or minimum points. Therefore, there is no global or local maximum of the function f(x).

Hence, f(x) is neither increasing nor decreasing at any point, and it does not have any maximum or minimum points.

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Answer:

Fill it with number but do it on paper

Step-by-step explanation:

Answer:

y = \(\frac{1}{2}\)x + 3

Step-by-step explanation:

Put two points on the line, which I'm using (0,3) and (2,4) into the point-slope form: \(\frac{4 - 3}{2 - 0}\) and solve to get \(\frac{1}{2}\), which is your slope, or, when put into the y =mx + equation, it is m. Now your equation looks like y = \(\frac{1}{2}\)x + b.

Substitute x and y from one of the ordered pairs, which I'm using (2,4) into the equation, which will look like this: 4 = 1/2 · 2 + b

Then solve: 4 = 1 + b

3 = b

Now you have your equation, y = \(\frac{1}{2}\)x + 3

The expected value of this gamble is $1.

The expected value of this gamble is the weighted average of all possible outcomes where the weights are the probabilities of each outcome happening.

The formula for expected value (EV) is as follows:

          Expected Value = (Probability of Winning × Amount Won) − (Probability of Losing × Amount Lost)

Hence, substituting the values:

          Expected Value = (0.5 × $10) − (0.5 × $8)

          Expected Value = $5 - $4

          Expected Value = $1

Therefore, the expected value of this gamble is $1.

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Answer:

y=3/5x+3

Step-by-step explanation:

The first blank is the slope. To find the slope, you first get 2 points on the graph. I chose (-5,0) and (0,3). You then find the difference in the Y values, which is positive 3, and find the difference in the X values, which is 5. Slope is y/x, so the slope would be 3/5. The second blank is the y-intercept, which is where the line meets the y value with an x value of 0. The y-intercept would be 3.

Answer:

5

Step-by-step explanation:

The number of apples bought by him is 113.

A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.

Let's assume that Sam bought x number of apples.

He bought them at 60 cents each, which means the total cost of buying these apples was:

Cost price = 60x cents

He sold all but 5 of these apples at R1.00 each, which means the total revenue he earned from selling them was:

Revenue = (x - 5) x R1.00 = R(x - 5)

Sam made a profit of R5.00, which means his revenue was more than his cost price by R5.00. We can write this as:

Revenue - Cost price = R5.00

Substituting the values of revenue and cost price from above, we get:

R(x - 5) - 60x = 500 cents

Rearranging and simplifying this equation, we get:

40x = 500 + 5R

Substituting R = R1.00, we get:

40x = 500 + 5 = 505

Solving for x, we get:

x = 12.625

Since Sam cannot buy a fraction of an apple, we round up x to the nearest integer:

x = 13

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9514 1404 393

Answer:

Step-by-step explanation:

1. The value can be read from the graph. At 3 units to the right of the vertical axis, the line is 3 units above the horizontal axis. The independent variable has a value of 3 at that point.

__

2. The dependent variable has a value of -5 at the next grid line just below the bottom of the graph shown. The value of the independent variable is -1 at that point.

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Part A: The sample space is {A, E, R, S, T}. Part B: The favorable outcomes is 1/5 that is every card can appear. Part C: The probability of choosing two consonants is 6/20.

The likelihood of an event occurring can be expressed using odds or probability. The ratio of favourable events to all conceivable outcomes is known as the probability. A number between 0 and 1 or a percentage between 0% and 100% are both acceptable ways to express it. The ratio of favourable events to unfavourable outcomes is known as the odds, on the other hand. "Odds in favour" or "odds against" are two ways to express odds.

Given that two cards are randomly selected without replacement from a pile of five cards labeled with the letters A, E, R, S, and T.  

The probability of both cards being consonants are = 3 *2 = 6

Part A: The sample space is {A, E, R, S, T}.

Part B: The favorable outcomes is 1/5 that is every card can appear.

Part C: The consonants are R, S, T:

Thus, choosing 2 consonants the probability is:

3 x 2 = 6.

The total outcomes are: 5 * 4 = 20 ways

The probability of choosing two consonants is 6/20.

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The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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Answer:

Step-by-step explanation:

The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that

f'(c) = \(\frac{f(b)-f(a)}{b-a}\) ....... (1)

~~~~~~~~~~~~~~~~

f(5) = 44

f(0) = - 1

5 - 0 = 5

f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4

2c + 4 = \(\frac{44+1}{5}\)

2c + 4 = 9 ⇒ c = \(\frac{5}{2}\) (D).

Answer:

2.8

Step-by-step explanation:

mean = 54+45+76+33+76= 284

284÷5=56.8

median ,to find median you first arrange the numbers in an accending order

33,45,54,76,76 then you find the middle number which is 54

56.8-54=2.8

Answer:

2.8 marks

Step-by-step explanation:

33, 45, 54, 76, 76

mean score = (54 + 45 + 76 + 33 + 76) ÷ 5

= 56.8

median score = (5 + 1) ÷ 2

= 3rd place

= 54

diff between mean and median score = 56.8 - 54

= 2.8