Eduardo has in his pocket $1 in pennies, $1 in nickels, and $1 in dimes. If he randomly pulls out just one coin, what is the probability that he will pull out a dime?

Answer:

D is the correct answer!!

The distance, which is determined by integrating the velocity function over the specified time interval, is calculated as 2.98 and 2.58.

We will use left Riemann sum and right Riemann sum to obtain an overestimate and an underestimate. The definite integral, which in this case is a distance, can also be approximated using the average of these estimates.

1 ) The distance the bug crawls obtained by integrating the velocity function v(t) = 4/1+t over the inclined time interval is

\(\int\limits^1_0 \, \frac{4}{1+t} dt.\)

Splitting the interval [0, 1] into sub intervals of length Δt = 0.2, we get the Riemann sum L and the right Riemann sum R:

L = ∑⁴ v(ti) Δt

L = (0.2) (v(0) + v(0.2) + v(0.4) + v(0.6) + v(0.8))

L ≈ 2.98

R = ∑⁵ v(ti) Δt

R = (0.2) (v(0.2) + v(0.4) + v(0.6) + v(0.8) + v(1.0))

R ≈ 2.58

2 )The average of these two Riemann sums gives us a new estimate for the distance :

AVG = (2.98 + 2.58)/2

=2.78.

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The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Answer:

approaches , and the value of the function approaches as x approaches. Which function could be function f?

A.

B.

C.

D

The location of the values square root of 11, square root of 8, and twenty two ninths on the number line is illustrated below.

It should be noted that a number line simply means a straight line that serves as an abstraction for real numbers.

It should be noted that square root of 11 will be 3.316. The square root of 8 is 2.83 and twenty two ninths on the number line will be around 20.22.

This is important to know the place where each falls on the number line.

Note that an overview was given.

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Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

X = ?

Then this proportion is valid

104/(2x-8) = 143/22

Now make cross multiply

104•22/143 = (2x-8)

16 = 2x - 8

24 = 2x

Then

x= 24/2= 12

Answer is x=12

Answer:

2.8

Step-by-step explanation:

Answer:

$1.75

Step-by-step explanation:

Answer:

3 1/3.

Step-by-step explanation:

Find the LCD multiply, and that's how tou get your answer

Answer:

3 2/6     three and two sixths

Step-by-step explanation:

hope this helps!

a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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Answer:

Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11.

Step-by-step explanation:

Answer:

The third graph comes closest, but some difference suggest that the fifth graph, which is incorrectly displayed, may be the correct one.

Step-by-step explanation:

I will rewrite the equation to the form it seems to have been intended:  (x + 4)^2 + (y − 7)^2 = 49.  Note the addition of two "^" to indicate the 2's are both powers, and not "*2."

Plot the equation on a scientific calculator or a free web-based scientific calculator, such as DESMOS.  Compare the graph with the graph options.  See the attached worksheet.

The plotted graph comes close to the graph option selected (third from left), but there were differences, as noted.  It was the closest I saw on a first pass, but spend time ooking more closely at the options to see if there is a better choice.  The fifth option doesn't look like it belongs, and the correct option may not be listed.

Answer:

Cole bought 7 pants and 9 shirts.

Step-by-step explanation:

Let p represent the number of pants and s represent the number of shirts.

Then using the provided data two equations can be formed.

p + s = 12...(i)

22p + 16s = 234...(ii)

Solve (i) and (ii) simultaneously.

Multiply (i) by 16 and subtract the resultant equation from (ii) as follows:

16p + 16s = 192

-22p - 16s = -234

-6p = -42

p = 7

Substitute p = 7 in (i) and solve for s as follows:

p + s = 16

7 + s = 16

s = 9

Thus, Cole bought 7 pants and 9 shirts.

The rate at which the volume is decreasing when the height is 1 cm is -1800π cm³/hr.

Given that the block of ice is in the shape of a right circular cone with a radius of 30 cm and a height of 10 cm. It starts melting in a uniform way, preserving its shape and proportions. The height is decreasing at a rate of 2 cm/hr. We need to find the rate at which the volume of the cone is decreasing when the height is 1 cm.

Let's first calculate the volume of the cone. We know that the volume of a cone is given by;V = (1/3)πr²h

Where,V is the volume of the cone.r is the radius of the cone.h is the height of the cone.

Substituting the given values, we get;V = (1/3)π(30)²(10)V = 9000π cm³Now, we need to find dV/dt when h = 1 cm.

Using chain rule of differentiation, we can write; dV/dt = dV/dh × dh/dt Now, dV/dh can be calculated as;dV/dh = πr²(1/3)×(d/dh)(h²) dV/dh = πr²(1/3)×(2h) dV/dh = (2/3)πr²h

Now, substituting the given values, we get;dV/dh = (2/3)π(30)²h

On substituting h = 1 in the above equation, we get;dV/dh = (2/3)π(30)² = 900π cm³/hr

This gives us the rate at which the volume is decreasing with respect to height.Now, we need to find dh/dt when h = 1 cm.dh/dt = -2 cm/hr (Negative sign indicates that the height is decreasing)

Using the product rule of differentiation, we can write; dV/dt = dV/dh × dh/dt dV/dt = (2/3)π(30)²(1)×(-2) dV/dt = -1800π cm³/hr

Therefore, the rate at which the volume is decreasing when the height is 1 cm is -1800π cm³/hr.

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To solve the given inequality, first we have to simplify the given inequality.38 < x + 10 After simplification we get, 38 - 10 < x or 28 < x.

The correct option is B.

The given inequality is 38 < 4x + 3 + 7 - 3x. Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. The given inequality is 38 < 4x + 3 + 7 - 3x. To solve the given inequality, we will simplify the given inequality.

Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. Combine the like terms on the right side and simplify38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18.So, the answer is  x > 28. In other words, 28 is less than x and x is greater than 28. Hence, the answer is x > 28.

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Answer: (x,y) = (175/29, 22/29)

Step-by-step explanation:

solve the equation

y = 8 - 6/5x

3y - 8x = -46

substitute the value of y

3(8 - 6/5x) - 8x = -46

solve the equation

x = 175 / 29

substitute the value of x

y = 8 - 6/5(175/29)

solve the equation

y = 22/29

answer: (x,y) = (175/29, 22/29)

Answer:

the answer is c

Step-by-step explanation:

the answer is c

Answer:

40.03

Step-by-step explanation:

Step-by-step explanation:

\(f(g(x))\)

\( \frac{8}{ \frac{8}{x} } \)

\(8 \times \frac{x}{8} \)

\( \frac{8x}{8} \)

\(x\)

The same steps will be for g(f(x))

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

\(a^{0}\) = 1

Given

\((2^{6}) ^{x}\)

= \(2^{6x}\)

The only way for this to equal 1 is for x to be zero

Thus x = 0

Answer:

Last year: 49 students

Step-by-step explanation:

There were 23 more students this year than last year. This means that 72 is equivalent to x, or a random number, plus 23

If 23 + x =72

Then x = 72 - 23

Which means that x = 49, or that the number of students that completed projects for the science fair is 49.

Hope this helps!!!

The probability that the number of people who show up will exceed the capacity of the plane is 60.1%.

Let X be the number of people who show up for the flight. We want to find the probability that X exceeds the capacity of the plane, which is 76.

Since the airline estimates that 96% of people booked on their flights actually show up, we can model X as a binomial random variable with n = 78 and p = 0.96. The probability mass function for X is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

To find the probability that X exceeds 76, we need to calculate the following sum:

P(X > 76) = P(X = 77) + P(X = 78)

Using the binomial distribution, we can calculate these probabilities as follows:

P(X = 77) = (78 choose 77) * 0.96^77 * 0.04^1 = 0.381

P(X = 78) = (78 choose 78) * 0.96^78 * 0.04^0 = 0.220

Therefore, the probability that the number of people who show up will exceed the capacity of the plane is:

P(X > 76) = P(X = 77) + P(X = 78) = 0.381 + 0.220 = 0.601

Thus, there is a 60.1% chance that the number of people who show up for the flight will exceed the capacity of the plane.

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Answer:

y- intercept= -8

slope= 1

Step-by-step explanation:

Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.

Answer:

Y-intercept = -8

Slope = 1

Step-by-step explanation:

The Y-intercept is the constant or the integer in the equation.

So, the y-intercept is "-8".

The slope is the number with which "x" is multiplied with.

So, the slope is 1, because 'x' and '1x'  are similar; therefore the slope is 1.

The solutions for the equation are b = 0, 3.

What is the cubic equation?

A three-degree equation is referred to as a cubic equation. All cubic equations have roots that are either three real roots or one real root and two imaginary roots. Polynomials are referred to as cubic polynomials if they have a degree of three. The opposite of cubing an integer is finding the cube root of that number. It can be determined by first determining how the given integer can be divided into prime factors, and then by using the cube root formula.

To find the solution for the equation 5/3b³ - 2b² - 5, we can factor it or use the quadratic formula.

One way to factor it is to note that it is a cubic equation in terms of b, and can be written as:

5/3b³ - 2b² - 5 = (5/3b³ - 2b²) - 5 = (5/3b³ - 2b²- 5b) + (5b)

= (5/3b)(b² - 3b) + 5

So, b=0 is one solution, but we can also factor the remaining quadratic equation (b² - 3b) = 0,

b=0 and b=3 are the solutions for the equation.

Hence, the solutions for the equation are b = 0, 3.

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The inverse of a function can be found by swapping the numbers in each ordered pair of the function.

When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.

To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.

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Answer:

23/55

Step-by-step explanation:

Assuming you want this simplified,

23/55

Answer:

The perimeter of the quarter circle is 24.997 cm

Step-by-step explanation:

Given, the radius of the circle = 7 cm

The perimeter of the circle = 2πr

and perimeter of the quarter circle = 2r + C

where r is the radius and C is the circumference of the sector of a circle

Circumference of the sector =  ∅/360°(2πr)

                                           C  = 90°/360°(2×3.142×7)

                                            C = 10.997 cm

perimeter of the quarter circle = 2r + C  

                                                   = 2×7 + 10.997

                                                   = 24.997 cm

The perimeter of the quarter circle will be 24.997 cm

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The profit for winning should be $23/13 to make this game fair.

The formula used, Expected Value = Sum of (Value * Probability)Profit of winning to make the game fair

The expected value of the game is equal to zero, to make the game fair.

The probability of winning in a dice game is the number of outcomes that result in the win over the total number of possible outcomes.

The total number of outcomes in rolling two dice is 6 × 6 = 36.

The number of outcomes that result in a win is found by using the following table.

The sums greater than or equal to 10 are colored green, and the remaining sums are colored red.

Using the table, we can see that the number of outcomes that result in a win is 13.

The probability of winning is 13/36.

The probability of losing is 1 − 13/36 = 23/36.

Let p be the profit from winning the game.

If you win, you receive p dollars.

If you lose, you pay $1.

The expected value of the game is:

p(13/36) − 1(23/36) = 0p(13/36)

= 23/36p = (23/36) / (13/36)p

= 23/13

So, the profit for winning should be $23/13 to make this game fair.

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