The number of suits sold per day at a retail store is shown in the table. Find the variance. Number of 19 20 21 22 23 suits sold X Probability 0.2 0.2 0.3 0.2 0.1 P(X) O a. 2.1 O b. 1.6 O c. 1.8 O d.

Answer:

Equation A) y = \(x^{3} + 2x^{2} - 1\) is Graph E

Equation B) y = \(2x^{2} - x -3\) is Graph A

Equation C) y = \(\frac{1}{x} +1\) is Graph B

Equation D) y = \(2-3x^{2} -x^{3}\) is Graph D

Jarome can make 6 whole pizzas with the leftover cheese.

Given that Jarome uses 2 1/2 cups of cheese for every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the bag.

We need to determine the number of pizza pies can he make with the leftover cheese.

To find out how many pizza pies Jarome can make with the leftover cheese, we need to determine how many sets of 2 3/4 pizzas can be made using 6 1/4 cups of cheese.

Let's start by finding the number of sets of 2 3/4 pizzas that can be made from 6 1/4 cups of cheese:

Number of sets = Total cheese available / Cheese per set

Number of sets = 6 1/4 cups / 2 1/2 cups per set

To make the calculation easier, let's convert all the mixed numbers to improper fractions:

6 1/4 cups = (4 x 6 + 1) / 4 = 25/4 cups

2 1/2 cups = (2 x 2 + 1) / 2 = 5/2 cups

Number of sets = (25/4) / (5/2)

Now, to divide fractions, we invert the divisor (5/2) and multiply:

Number of sets = (25/4) x (2/5)

= (25 x 2) / (4 x 5)

= 50/20

= 5/2

So, Jarome can make 5/2 sets of 2 3/4 pizzas with 6 1/4 cups of cheese.

Now, let's see how many pizzas he can make with the leftover cheese:

To calculate the number of pizzas in 5/2 sets, we multiply it by the number of pizzas per set (2 3/4 pizzas):

Number of pizzas = (5/2) x (2 3/4)

Again, let's convert all the mixed numbers to improper fractions:

2 3/4 pizzas = (4 x 2 + 3) / 4 = 11/4 pizzas

Number of pizzas = (5/2) x (11/4)

Now, when multiplying fractions, we simply multiply the numerators together and the denominators together:

Number of pizzas = (5 x 11) / (2 x 4) = 55/8

So, Jarome can make 55/8 pizzas with the leftover 6 1/4 cups of cheese.

Now, let's simplify the fraction:

55/8 = 6 7/8

Therefore, Jarome can make 6 7/8 pizzas with the leftover 6 1/4 cups of cheese.

Since we can't make a fraction of a pizza, he can make 6 whole pizzas with some cheese left over.

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So, the correct option is: Vertical intercept = -15 and Horizontal intercept = 2.

The vertical intercept of a function is the value of the function when the input is zero. In other words, it is the point where the function intersects the y-axis. To find the vertical intercept of this function, we need to find the value of f(0) from the table.

Similarly, the horizontal intercept of a function is the point where the function intersects the x-axis. In other words, it is the value of the input for which the output of the function is zero. To find the horizontal intercept of this function, we need to find the value of x for which f(x) = 0 from the table.

In this case, we see from the table that f(0) = -15, which means that the function intersects the y-axis at -15. And we also see that f(2) = 0, which means that the function intersects the x-axis at 2. Therefore, the vertical intercept of the function is -15, and the horizontal intercept of the function is 2.

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\(\\ \sf\bull\longmapsto f(x)=4x+10\)

\(\\ \sf\bull\longmapsto f(3)\)

\(\\ \sf\bull\longmapsto 4(3)+10\)

\(\\ \sf\bull\longmapsto 12+10\)

\(\\ \sf\bull\longmapsto 22\)

Answer:

f(3) = 22

Step-by-step explanation:

Substitute x = 3 into f(x) , that is

f(3) = 4(3) + 10 = 12 + 10 = 22

9514 1404 393

Answer:

  \(f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.\)

Step-by-step explanation:

The upper piece of the graph is defined on the interval -6 ≤ x < 2. It has a slope of -1 and a y-intercept of -1, so its equation is y = -x-1.

The lower piece of the graph is defined on the interval 2 < x < 6. It has a slope of -1/2 and would cross the y-axis at -4 if it were extended. Its equation is ...

  y = -1/2x -4

The two pieces together give the function ...

  \(f(x)=\left\{\begin{array}{rl}-x-1,&\text{for $-6\le x<2$}}\\-\dfrac{1}{2}x-4,&\text{for $2<x<6$}\end{array}\right.\)

\(8 (\sqrt{4} \times 2 + 6) \\ \sqrt{4} = 2 \\ 2 × 2 = 4 \\ 4 + 6 = 10 \\ 8(10) = 80\)

Answer:

x = - 9, x = - 5

Step-by-step explanation:

4(x + 7)² + 17 = 33 ( subtract 17 from both sides )

4(x + 7)² = 16 ( divide both sides by 4 )

(x + 7)² = 4 ( take square root of both sides )

x + 7 = ± \(\sqrt{4}\) = ± 2 ( subtract 7 from both sides )

x = - 7 ± 2

then

x = - 7 - 2 = - 9

x = - 7 + 2 = - 5

Answer:

The answer is -9,-5

Step-by-step explanation:

4(x+7)²+17=33

4(x+7)(x+7)+17=33

4[x²+7x+7x+49]+17=33

4(x²+14x+49)+17=33

4x²+56x+196+17-33=0

4x²+56x+180=0

divide althrough by 4

x²+14x+45=0

factorising

x²+9x+5x+45=0

x(x+9)+5(x+9)=0

(x+9)(x+5)=0

(x+9)=0,(x+5)=0

x= -9,x= -5

The cost per day for Caroline to rent a car is $35. Answer: \($\boxed{35}.$\)

To find out the cost per day for Caroline to rent a car, we need to calculate the slope of the linear equation.

The slope of a linear equation represents the rate of change of one variable with respect to the other variable.

Here, the rate of change of the total cost with respect to the number of days represents the cost per day.

Therefore, the slope of the linear equation gives the cost per day.

We use the formula below to calculate the slope of a linear equation:

\($$\text{slope}\)

\(= \frac{\text{change in y}}{\text{change in x}}$$\)

Let's calculate the slope of the given linear equation:

\(Slope $$= \frac{y_2-y_1}{x_2-x_1}$$\)

We can use any two sets of data from the table to calculate the slope.

Let's use the first and second set of data.Slope $$

\(= \frac{122.50-52.50}{3-1}$$$$\)

\(= \frac{70}{2}$$$$\)

\(= 35$$\)

Therefore, the cost per day for Caroline to rent a car is $35.

Answer:\($\boxed{35}.$\)

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We are given –

We are asked to find volume of the given cylinder.

Let the radius be "r".Then according to the question,it’s given –

\(\qquad\) \(\pink{\twoheadrightarrow\bf Curved\: surface\: area _{(Cylinder)}= 2\pi r h }\)

\(\qquad\) \(\twoheadrightarrow\sf 2\pi r h = 24 \pi\)

\(\qquad\) \(\twoheadrightarrow\sf 2\cancel{\pi} rh = 24 \cancel{\pi}\)

\(\qquad\) \(\twoheadrightarrow\sf r =\dfrac{24}{2h}\)

\(\qquad\) \(\twoheadrightarrow\sf r = \dfrac{24}{2\times 4}\)

\(\qquad\) \(\twoheadrightarrow\sf r = \dfrac{24}{8}\)

\(\qquad\) \(\twoheadrightarrow\sf r = \cancel{\dfrac{24}{8}}\)

\(\qquad\) \(\pink{\twoheadrightarrow\bf r = 3 \: cm}\)

Now, Let's find volume of cylinder

\(\qquad\) \(\purple{\twoheadrightarrow\bf V_{(Cylinder)} = \pi {r}^{2}h}\)

\(\qquad\) \(\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 3^2\times 4 \)

\(\qquad\) \(\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 9 \times 4\)

\(\qquad\) \(\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 36\)

\(\qquad\) \(\purple{\twoheadrightarrow\bf V_{(Cylinder)} = 36 \pi \: cm^3}\)

Step-by-step explanation:

Given :-

to find :-

Solution :-

Lateral surface area of cylinder = 2πrh

24π cm = 2πrh

Cancelling π on both the sides ,

24/2h = r

putting the value of h i.e, 4 cm

24/2×4 cm = r

3 cm = radius

Now volume of Cylinder = πr²h

putting all the values ,

Volume = 3.14 × 3² × 4 cm³

Volume = 113.04 cm³

Viola needs to jump a distance of 0.04 m on her next attempt to increase her mean to 3.82 m

On average, she has jumped 3.80 m so far. Therefore, the sum of distances jumped so far by her is:

3.80 m × the total number of jumps taken so far.

On the next jump, she reaches 3.99 m. Therefore, after the next jump, the total distance jumped so far by her will be 3.80 m × total number of jumps taken so far + 3.99 m. The new mean is 3.81 m.

Therefore, (3.80 m × total number of jumps taken so far + 3.99 m)/(total number of jumps taken so far + 1) = 3.81.

The above equation can be simplified as 3.80 m × total number of jumps taken so far + 3.99 m = 3.81 m × (total number of jumps taken so far + 1).

This simplifies to 3.80 m × total number of jumps taken so far + 3.99 m = 3.81 m × total number of jumps taken so far + 3.81 m. Now, we need to solve the above equation to find out the distance she needs to jump on her next attempt to increase her mean to 3.82 m.

3.80 m × total number of jumps taken so far + 3.99 m = 3.81 m × total number of jumps taken so far + 3.81 m.

0.01 m = 0.01 m × total number of jumps taken so far.

1 = total number of jumps taken so far. Now, she needs to jump a distance of (3.82 m × (total number of jumps taken so far + 1)) - (3.80 m × total number of jumps taken so far)

= (3.82 m × (1 + 1)) - (3.80 m × 1)

= 3.82 m × 2 - 3.80 m

= 0.04 m

Therefore, she needs to jump a distance of 0.04 m on her next attempt to increase her mean to 3.82 m.

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From the four possible outcomes for signal detection theory exhibited in the given example is miss.

Signal detection theory refers to an approach of differentiating an individual ability to discriminate the presence and absence of a stimulus (or different stimulus intensities) from the individual’s criterion (physical/psychological state) to responses to those stimuli. It is a measure of the ability to differentiate between information-bearing patterns and random patterns that distract from the information. The four possible outcomes defined by the theory are hit (signal present and observer respond), miss (signal present and observer did not respond), false alarm (signal absent and observer respond), and correct rejection (signal absent and observer did not respond). As the brother is hiding under a pillow but the sister comes into the room and looks at the sofa, but seeing nothing, she leaves, it is a miss outcome.

Note: The question is incomplete. The complete question probably is: A brother and sister are playing hide and seek and the brother has hid under a pillow on the sofa. His sister comes into the room and looks at the sofa, but seeing nothing, she leaves. What signal detection theory potential outcome is shown in the example.

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(18x-44) + (8x-10) = 180

26x-54 = 180

26x = 234

x = 9

8(9)-10 + (13y-38) = 180

72-10+13y-38 = 180

13y+24 = 180

13y=156

y=12

Answer:

24x1.35=32.4

He should have recieved $32.40 in change.

Answer:

y = 16.9x

where y is the ounces of water

and x is the number of bottles

Step-by-step explanation:

Here, we want to find the relationship between ounces of water y and number of bottles x

From the question, we can find the amount of liquid in each bottle

Mathematically, that will be 405.6/24 = 16.9 ounces

There is 16.9 ounces of water per bottle

So the relationship we want to write is that;

y = 16.9x

The average value of the function f(x) = 2sin(x) - sin(2x) from 0 to π is 4/π. First we need to compute the definite integral of the function over that interval and divide it by the length of the interval.

We want to find the average value of f(x) from 0 to π.

First, we integrate the function f(x) over the interval [0, π]:

∫(0 to π) [2sin(x) - sin(2x)] dx

Using the integration rules for trigonometric functions, we can evaluate this integral to obtain:

[-2cos(x) + (1/2)cos(2x)] from 0 to π

Substituting the upper and lower limits, we get:

[-2cos(π) + (1/2)cos(2π)] - [-2cos(0) + (1/2)cos(0)]

Simplifying, we have:

[2 + (1/2)] - [-2 + (1/2)]

Combining like terms, we get the average value:

4/π

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Answer:

\(12\)

Step-by-step explanation:

\(\frac{3}{5} \times 20\)

\(\frac{60}{5}\)

\(=12\)

Answer:

12 students

Step-by-step explanation:

First make 3/5 into a percent or whole number because it's easier to solve that way. How do you do that? Divide it how it is, so 3/5 = 0.60. So 60% of her class has at least one pet.

Knowing this, we multiply 60% by 20 to know how many students are that 60% that have pets. So 0.6 x 20= 12

12 students have pets in Ms. Johnson's class

The probability that a 3 will get any given times the dies is rolled is 0.17x

Total number of outcomes in one roll = 6

The favorable outcome = 3

The probability = Number of favorable outcomes / Total number of outcomes

Substitute the values in the equation

The probability of getting 3 in first roll= 1 / 6

Total number of times the die rolled = 11 times

The probability of getting 3 in all given times = (The probability of getting 3 in first roll )^ (Number of times the die rolled)

Consider the number of rolls as x

Substitute the values in the equation

The probability of getting 3 in all the given times = (1/6)^x

= 0.17x

Hence, the probability that a 3 will get any given times the dies is rolled is 0.17x

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Since the test statistic (-2.24) falls outside the range of the critical values (-1.96 to 1.96), we reject the null hypothesis.

What is sign test?

The sign test is a non-parametric statistical test used to determine whether the median of a distribution is equal to a specified value. It is a simple and robust method that is applicable when the data do not meet the assumptions of parametric tests, such as when the data

The given problem can be solved using the one-sample sign test to test the null hypothesis that the mean of the population is 19.4 minutes against the alternative hypothesis that it is not 19.4 minutes.

(a) Using Table I:

Step 1: Set up the hypotheses:

Null hypothesis (H0): The mean of the population is 19.4 minutes.

Alternative hypothesis (H1): The mean of the population is not 19.4 minutes.

Step 2: Determine the test statistic:

We will use the sign test statistic, which is the number of positive or negative signs in the sample.

Step 3: Set the significance level:

The significance level is given as 0.05.

Step 4: Perform the sign test:

Count the number of observations in the sample that are greater than 19.4 and the number of observations that are less than 19.4. Let's denote the count of observations greater than 19.4 as "+" and the count of observations less than 19.4 as "-".

In the given sample, there are 5 observations greater than 19.4 (18.1, 20.3, 19.3, 19.5, and 20.0), and 15 observations less than 19.4 (18.3, 15.6, 16.8, 17.6, 16.9, 17.0, 16.5, 18.6, 18.8, 19.1, 17.5, 18.5, and 18.0).

Step 5: Calculate the test statistic:

The test statistic is the smaller of the counts "+" or "-". In this case, the test statistic is 5.

Step 6: Determine the critical value:

Using Table I, for a significance level of 0.05 and a two-tailed test, the critical value is 3.

Step 7: Make a decision:

Since the test statistic (5) is greater than the critical value (3), we reject the null hypothesis.

(b) Using the normal approximation to the binomial distribution:

Alternatively, we can use the normal approximation to the binomial distribution when the sample size is large. Since the sample size is 20 in this case, we can apply this approximation.

Step 1: Set up the hypotheses (same as in (a)).

Step 2: Determine the test statistic:

We will use the z-test statistic, which is calculated as (x - μ) / (σ / √n), where x is the observed number of successes, μ is the hypothesized value (19.4), σ is the standard deviation of the binomial distribution (calculated as √(n/4), where n is the sample size), and √n is the standard error.

Step 3: Set the significance level (same as in (a)).

Step 4: Calculate the test statistic:

Using the formula for the z-test statistic, we get z = (5 - 10) / (√(20/4)) ≈ -2.24.

Step 5: Determine the critical value:

For a significance level of 0.05 and a two-tailed test, the critical value is approximately ±1.96.

Step 6: Make a decision:

Since the test statistic (-2.24) falls outside the range of the critical values (-1.96 to 1.96), we reject the null hypothesis.

Rework Exercise 16.16 using the signed-rank test based on Table X:

To provide a more accurate solution, I would need additional information about Exercise 16.16 and Table X.

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The  value of x, y, and z are -114, 7 and 59 in the rhombus.

The opposite angles of a rhombus are equal to each other. We can write:

(-x-10)° = 104°

-x-10 = 104

Add 10 on both sides of the equation:

-x = 104 + 10

x = -114

Since the adjacent angles in rhombus are supplementary. We have:

114 + (z + 7) = 180

121 + z = 180

Subtract 121 on both sides:

z = 180 -121

z = 59

104  + (10y + 6) = 180

110 + 10y = 180

10y = 180 - 110

10y = 70

Divide by 10 on both sides:

y = 70/10

y = 7

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sorry its 13 1/8 lol

Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

Answer:

Step-by-step explanation:

Sum of 12 and a number is 12+x

1/6th of that is 1/6 * (12+x)

Multiple 1/6 with each term

1/6 * 12 + x/6 = 2+x/6

Answer:

Step-by-step explanation:

\([(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000\)

Answer:

360 in

Step-by-step explanation:

To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:

\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)

So, the dressmaker has 360 in of ribbon.

Answer:

First one = 120

Second one = 54

Third one = 64

Step-by-step explanation:

For the first figure a triangle must all add up to 180 degrees so just do

180-60 which gives you 120

For the second one it is the same 104+ 22 = 126 then you do 180-126 which gives you 54

For the 3rd figure that straight line is equal to 180 so you do 180-154 which gives you 26 and because the other angle is a right angle we know it adds up to 90. 90+26 = 116 then finally you do 180 - 116 which gives you 64.

Hope this helps.

Answer: -8.16 to 15.84

Step-by-step explanation: Confidence Interval is an interval in which we are a percentage sure the true mean is in the interval.

A confidence interval for a difference between two means and since sample 1 and sample 2 are under 30, will be

\(x_{1}-x_{2}\) ± \(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\)

where

x₁ and x₂ are sample means

t is t-score

\(S_{p}\) is estimate of standard deviation

n₁ and n₂ are the sample numbers

The estimate of standard deviation is calculated as

\(S_{p}=\sqrt{\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2} }\)

where

s₁ and s₂ are sample standard deviation of each sample

Degrees of freedom is:

\(df=n_{1}+n_{2}-2\)

df = 12 + 9 - 2

df = 19

Checking t-table, with 90% Confidence Interval and df = 19, t = 1.729.

The mean and standard deviation for 12 unlogged forest plots are 17.5 and 3.53, respectively.

The mean and standard deviation for 9 logged plots are 13.66 and 4.5, respectively.

Calculating estimate of standard deviaton:

\(S_{p}=\sqrt{\frac{(12-1)(3.53)^{2}+(9-1)(4.5)^{2}}{12+9-2} }\)

\(S_{p}=\sqrt{\frac{299.07}{19} }\)

\(S_{p}=\) 15.74

The difference between means is

\(x_{1}-x_{2}\) = 17.5 - 13.66 = 3.84

Calculating the interval:

\(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\) = \(1.729.15.74.\sqrt{\frac{1}{12} +\frac{1}{9} }\)

\(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\) = \(27.21\sqrt{\frac{21}{108} }\)

\(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\) = \(27.21\sqrt{0.194}\)

\(t.S_{p}\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}} }\) = 12

Then, interval for the difference in mean is 3.84 ± 12, which means the interval is between:

lower limit: 3.84 - 12 = -8.16

upper limit: 3.84 + 12 = 15.84

The interval is from -8.16 to 15.84.

a. The probability that you win on none of your 5 plays is approximately 0.6634. b. The probability that you win 3 or more of your 5 plays of this game is approximately 0.004497.

To solve these problems, we'll use the binomial probability formula.

a. The probability of winning in any one play is 0.08, so the probability of losing in any one play is 1 - 0.08 = 0.92.

The probability of winning on none of your 5 plays can be calculated as the probability of losing on each play, which is 0.92, raised to the power of the number of plays.

P(losing all 5 plays) = (0.92)^5 = 0.6634 (rounded to four decimal places)

Therefore, the probability that you win on none of your 5 plays is approximately 0.6634.

b. To find the probability of winning 3 or more of your 5 plays, we need to calculate the probability of winning 3, 4, or 5 plays and sum them up.

P(winning 3 or more plays) = P(winning 3 plays) + P(winning 4 plays) + P(winning all 5 plays)

P(winning 3 plays) = C(5, 3) *\((0.08)^3 * (0.92)^2\)

                  = 10 * 0.000512 * 0.8464

                  ≈ 0.00434 (rounded to five decimal places)

P(winning 4 plays) = \(C(5, 4) * (0.08)^4 * (0.92)^1\)

                  = 5 * 0.000032768 * 0.92

                  ≈ 0.000151 (rounded to six decimal places)

P(winning all 5 plays) = \((0.08)^5\)

                     ≈ 0.000006 (rounded to six decimal places)

Now we can sum up these probabilities:

P(winning 3 or more plays) ≈ 0.00434 + 0.000151 + 0.000006

                          ≈ 0.004497 (rounded to six decimal places)

Therefore, the probability that you win 3 or more of your 5 plays of this game is approximately 0.004497.

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The ferry will take 2 cars on its last trip by solving division problems and applying remainders in practical scenarios like transportation.

To determine the number of cars the ferry will take on its last trip, divide the total number of cars (842) by the capacity of the ferry (5).

This calculation yields 168 with a remainder of 2, indicating that after the preceding trips, there will be 2 cars left for the final trip.

Divide the total number of cars (842) by the ferry's capacity (5):

842 ÷ 5 = 168 with a remainder of 2.

The quotient (168) represents the number of full trips made by the ferry.

The remainder (2) indicates the number of cars for the final, incomplete trip.

\(5)842(168\\ -5\\ +34 \\-30\\+042\\-040\\+002\)

Therefore, the ferry will take 2 cars on its last trip by solving division problems and applying remainders in practical scenarios like transportation.

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If $550 is deposited in an acount paying 8.6% annual interest, compounded semiannually the account will take approximately 5.2 years to increase to $850.

To calculate the time it takes for the account to increase to $850, we can use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)\)

Where:

A is the final amount ($850),

P is the initial deposit ($550),

r is the annual interest rate (8.6% or 0.086),

n is the number of times the interest is compounded per year (semiannually, so n = 2),

and t is the time in years.

Rearranging the formula to solve for t, we have:

t = (1/n) * log(A/P) / log(1 + r/n)

Plugging in the values, we get:

t = (1/2) * log(850/550) / log(1 + 0.086/2)

Calculating this expression gives us approximately 5.2 years, rounded to the nearest tenth. Therefore, it will take around 5.2 years for the account to increase to $850.

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Answer:

31200000

Step-by-step explanation:

Jeez who gave you this question?