Find the quotient.
52.06 divided by 1.9

Answer:

89.6 meters

Step-by-step explanation:

we have to take the square root of 501.76 to find the measure of 1 side which is 22.4 which we then multiply by 4 because a square has 4 sides.

John scored 110 points in total.

A equation is used to equate two expressions. For example -

4x + 4 = 7

Given is that John, scores 35 more than triple the amount of points than Amy. Amy scores 25 points.

The total points scored by john would be -

{p} = 3{a} + 35                                                        .... Eq { 1 }

{p} = 3 x 25 + 35

{p} = 110 points

Therefore, John scored 110 points in total.

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You have the following expression:

(a + 2b)/ 5

In order to evaluate the previous expression for a = 1 and b = 2, you proceed as follow:

(a + 2b)/ 5 = ( 1 + 2(2) )/5

= ( 1 + 4 )/5

= (5)/5

= 1

Hence, the answer is 1.

If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a

Answer:

If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a.

Answer:

8.5 for each student ticket

Step-by-step explanation:

Simply divide the total cost 42.5 by the amount of students 5 to get your answer.

42.5 / 5 = 8.5

The range between a drug's effective dose and its toxic dose is called the theurapeutic index.

The therapeutic index, often known as the therapeutic ratio, is a numerical evaluation of a drug's relative safety. The amount of a therapeutic agent that has a therapeutic impact is compared to the amount that has a harmful effect.

A range of doses calibrated between efficacy and toxicity, achieving the maximum therapeutic benefit without producing intolerable side-effects or toxicity, is referred to as the therapeutic window or safety window.

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Answer:

x=-10

Step-by-step explanation:

We can solve this equation by first distributing the "2" to the variables inside of the parentheses:

2(x+3)=x-4

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

Simplify

2x+6=x-4

Move like terms to one side. Be careful while moving terms because if you move a term from one side to another, it's sign flips (Ex: "+" becomes "-")

2x-x=-6-4

x=-10

Answer:

$45.15

Step-by-step explanation:

$42*107.5%

=$45.15

PLS GIVE BRAINLIEST

Answer:

45.15

Step-by-step explanation:

Take 100% (Original Price) and add the 7.5, Aka 107.5.

Multiply the price (42) and the percent that you just got, 107.5%.

Use the percent sign!!!

The answer then should be 45.15

According to the information provided by the graph, it can be inferred that in town A there is a lower percentage (20%) than the national percentage of bicycles with off-road wheels, while in town B the percentage is higher (45%).

To calculate the percentage of bicycles with off-road wheels in each town, we must perform the following mathematical operation.

First we must add the number of bicycles of each type to know the total number of bicycles in the town:

Now we must calculate what percentage is equivalent to 3 bicycles with off-road wheels from town A and what percentage is equivalent to 9 bicycles with off-road wheels from town B.

15 ÷ 100 = 0.15

0.15 × 20 = 3

So, 3 bicycles with off-road wheels from town A are equivalent to 20% of the total number of bicycles.

Then the 9 bicycles with off-road wheels in town B are equivalent to 45% of the total number of bicycles.

According to the above, 20% of the bicycles in town A have off-road wheels, while 45% of the bicycles in town B have off-road wheels.

Note: This question is incomplete because there are some missing information. Here is the missing information.

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x<23 or x>5 are the required inequalities of the value x.

A triangle is a three-sided polygon that consists of three edges and three vertices.

In the given triangles the lengths are 9 and 14.

We need to find the length x which is the third side.

the sum of lengths of the two shorter sides of a triangle must be greater than the third side x.

If 9 and 14 are the shorter sides, then the sum of 9 and 14 must be greater than the third side.

9+14>x

23>x

If 14 is the longest side, then 9 the third side x must be greater than 14.

9+x>14

x>14-9=5

x>5.

Hence, the required inequality is x<23 or x>5.

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a)The probability that the next household on the list will be contacted but will refuse to cooperate will be 0.38

b)The probability of failing to contact a household or of contacting the household but  will refuse to cooperate is  0.62.

We are given the information that interviewers can reach about 76% of U.S. households, the percentage of those contacted who agree to cooperate with the survey fell from 58% in 1997 to only 38% in 2003.  To calculate these probabilities, we use the cooperation rate from 2003. Since the cooperation rate is 38%, this means that 38% of the people will cooperate and 62% will not cooperate. Therefore, the probability of the next household on the list not cooperating is 0.62 and the probability of the next household on the list cooperating is 0.38.

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As mentioned in the chapter, opinion-polling organizations contact their respondents by sampling random telephone numbers. Although interviewers can reach about 76% of U.S. households, the percentage of those contacted who agree to cooperate with the survey fell from 58% in 1997 to only 38% in 2003. Each household, of course, is independent of the others. Using the cooperation rate from 2003, a) what is the probability that the next household on the list will be contacted but will refuse to cooperate? b) what is the probability of failing to contact a house hold or of contacting the household but will refuse to cooperate

The probability of ordering a caramel macchiato or a muffin is 82%.

Let us denote the Probability of ordering a caramel Macchiato as P(C), the Probability of ordering a muffin as P(M), the probability of ordering both a caramel macchiato and a muffin as P(C ∩ M), and the probability of ordering a caramel macchiato or a muffin P(C ∪  M).

It is given that:

P(C)=72%

P(M)=32%

P(C ∩ M)=22%

We need to find P(C ∪  M).

According to the Union Law of probability, the probability of the union of two events A and B is equal to the sum of their individual probabilities minus the probability of their intersection.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

In this case:

P(C ∪ M)=P(C)+P(M)-P(C ∩ M)

Upon substituting the given values;

P(C ∪ M)=72%+32%-22%=82%

Hence, the probability of ordering a caramel macchiato or a muffin =

P(C ∪  M) is 82%.

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Answer:

130,000

Step-by-step explanation:

Answer:oh hey yulissa ✌️

Step-by-step explanation:

Answer:

18.75

Step-by-step explanation:

\(Area=\pi r^{2} \\Area=3(\frac{5}{2} )^{2} \\Area=18.75\)

To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.

Given matrix D:

D = | k 0 0 |

| 3 k² k³ |

| 0 kª k³ kº |

| k k k |

| 0 0 0 |

| k¹⁰ |

The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

- 0(det | 3 k² k³ |

| 0 kª k³ |

| k k k |)

+ 0(det | 3 k² k³ |

| k k k |

| k k k |)

Simplifying further, we have:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

Now, we can calculate the determinant of the 3x3 submatrix:

det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |

This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:

det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº

Now, we can set det(D) equal to 1024 and solve for k:

k⁴+kº = 1024

Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.

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The standard deviation of the weight distribution is approximately 20.31 pounds.

Let's denote the mean of the distribution as μ (mu) and the standard deviation as σ (sigma).

From the given information, we can calculate the z-scores corresponding to the weights of 154 pounds and 213 pounds.

For the weight of 154 pounds:

The proportion of players weighing less than 154 pounds is 10%, which corresponds to a cumulative probability of 0.10. To find the z-score, we can use a standard normal distribution table or a calculator:

z = invNorm(0.10) ≈ -1.28

For the weight of 213 pounds:

The proportion of players weighing more than 213 pounds is 5%, which corresponds to a cumulative probability of 0.95 (1 - 0.05). To find the z-score, we can again use a standard normal distribution table or a calculator:

z = invNorm(0.95) ≈ 1.64

In a standard normal distribution, the z-scores represent the number of standard deviations away from the mean.

Now, we can set up two equations using the z-scores:

1.28 = (154 - μ) / σ --> (1)

-1.64 = (213 - μ) / σ --> (2)

Solving these equations simultaneously will give us the mean (μ) and the standard deviation (σ) of the weight distribution.

Let's solve these equations:

From equation (1):

1.28σ = 154 - μ

From equation (2):

-1.64σ = 213 - μ

Adding equation (1) and equation (2):

1.28σ - 1.64σ = 154 - μ + 213 - μ

-0.36σ = 367 - 2μ

Simplifying:

-0.36σ = 367 - 2μ

0.36σ = 2μ - 367

Dividing by 0.36:

σ = (2μ - 367) / 0.36

Substituting this value of σ in equation (1):

1.28σ = 154 - μ

1.28[(2μ - 367) / 0.36] = 154 - μ

Simplifying:

1.28(2μ - 367) = 0.36(154 - μ)

2.56μ - 470.16 = 55.44 - 0.36μ

Combining like terms:

2.56μ + 0.36μ = 470.16 + 55.44

2.92μ = 525.6

Dividing by 2.92:

μ = 525.6 / 2.92

μ ≈ 180.00

Now that we have the value of μ, we can substitute it into equation (1) to find σ:

1.28σ = 154 - μ

1.28σ = 154 - 180

1.28σ = -26

Dividing by 1.28:

σ = -26 / 1.28

σ ≈ -20.31

Since standard deviation cannot be negative, we can disregard the negative sign. The standard deviation of the weight distribution is approximately 20.31 pounds.

To summarize:

Mean (μ) ≈ 180 pounds

Standard Deviation (σ) ≈ 20.31 pounds

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Answer:

6367276244 6367276244

6367276244 6367276244

Answer:

6367276244

Step-by-step explanation:

To find the estimated mean of road accidents reported, we calculated the midpoint of each class interval and multiplied it with the frequency. The estimated mean is 8.2.

To estimate the mean of the frequency distribution, we first need to find the midpoint of each class interval. We do this by adding the lower and upper limits of each interval and dividing by 2.

To find the estimated mean, we divide the sum of the products of the midpoint and frequency by the total frequency:

Estimated mean = (midpoint x f) / f = 253 / 31 = 8.16129032

Rounding to 1 decimal place, the estimated mean is 8.2. Therefore, the answer is 8.2.

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Part A

Reason:

The range, IQR, and the standard deviation are all measures of spread.

IQR stands for Interquartile Range. Unfortunately your teacher made a typo and wrote IRQ by mistake.

The symbol \(\sigma\) is the greek letter sigma used to represent the population standard deviation.

The smaller these measures are, the more less spread out the values will be. This leads to the most consistent data set. Think of it like being on an archery range. The more consistent shots are closely clustered around the same point (not necessarily the center), while the less consistent shots are more randomly scattered about.

School B has the smallest range, IQR, and standard deviation of the three schools. Therefore, this school has the most consistent attendance.

=============================================================

Part B

Reason:

This school has the highest mean, and also the largest median, of all three schools. Both of these are measures of center or average. Compared to school B, this data set is a bit more spread out and not as consistent.

Given:

The cost of tortilla chips = 35.5 cents per ounce

The bag of tortilla chips = $4.63 = 463 cents

To find the number of ounces in the bag, divide 463 by 35.5

so,

The number of ounces =

Rounding to the nearest hundredth

so, the answer will be 13.04 ounces

Answer:

108.75 square meter.

Step-by-step explanation:

   \(\sf \boxed{\text{\bf Surface area of pentagonal pyramid = $ \bf \dfrac{5}{2}*b*(a + s)$}}\)

  Here,  b is the base length of the pyramid. b = 3 m

              a is the apothem of the pyramid. a = 3.5 m

              s is the slant height of the pyramid. s = 11 m

     \(\sf Surface \ area = \dfrac{5}{2}*3*(11 + 3.5)\)

                         \(\sf = \dfrac{5}{2}*3*14.5\\\\ = 108.75 \ m^2\)

Answer:

\( \frac{51}{6} \)

or

\(8 \times \frac{1}{2} \)

(depending on what you need)

or you can write it just like 8.5

Step-by-step explanation:

So I think it says,

\(8 \times \frac{5}{12} = \)

and then,

\( +31 \times \frac{1}{6} = \)

So- I'm guessing the question overall would look like the following:

\((8 \times \frac{5}{12}) + 31 \times \frac{1}{6} = \)

The parenthesis is simple enough. 5×8 = 40

\( \frac{40}{12} + 31 \times \frac{1}{6} = \)

And the second half is even simpler since 31×1 = 31:

\( \frac{40}{12} + \frac{31}{6} = \)

Okay and now we can shorten the left fraction, which means that we cut it in half.

\( \frac{20}{6} + \frac{31}{6} = \)

Almost done, now we just add them together.

\( = \frac{51}{6} \)

There we have it. And if needed you can also write it like:

\(8 \times \frac{3}{6} \)

(which would be:)

\(8 \times \frac{1}{2} \)

The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

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The expression equivalent to (a² *a³ * (a⁻¹))² when rewritten is a⁸

From the question, the expression is given as

(a^2*a^3*(a^-1))^2

Rewrite properly

So, we have

(a² *a³ * (a⁻¹))²

Apply the product law of indices

So, we have

(a² *a³ * (a⁻¹))² = (a² ⁺ ³ ⁻¹)²

Evaluate the sum and the difference

So, we have

(a² *a³ * (a⁻¹))² = (a⁴)²

Evaluate the products of the exponents

So, we have

(a² *a³ * (a⁻¹))² = a⁸

Hence, the equivalent expression of (a² *a³ * (a⁻¹))² is a⁸

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Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.

To plan a party for more than 200 people, the number of guests for which both packages of buns and hotdogs will work evenly is 40 people. Here's an explanation of how to get this answer: First, we need to find the common multiple of 8 and 10 since buns come in packs of 8 while hotdogs come in packs of 10. The common multiple of 8 and 10 is 40. Next, we need to divide the total number of people by the common multiple of 8 and 10, which is 40. So, 200 divided by 40 equals 5. Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people. Any additional guests can be accommodated by purchasing extra packages of buns and hotdogs. So, the answer is 40 guests.

Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.

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For the following examples:

3. Dave's truck has a fuel capacity of 180 US gallons, but it is only one-quarter full, which means he needs 3/4 of 180 gallons = 135 gallons of diesel fuel.

To convert gallons to liters, multiply by 3.78541 (1 gallon = 3.78541 liters).

So Dave needs 135 gallons x 3.78541 liters/gallon = 511.66535 liters of diesel fuel.

The cost of diesel fuel is 94.9 C per liter, so the total cost for Dave to refill his truck is 511.66535 liters x 94.9 C/liter = $485.63.

4. To determine the volume of concrete Greg will need for his driveway, we first convert the dimensions to meters:

20 feet = 6.096 meters, 36 feet = 10.9728 meters, and 4 inches = 0.1016 meters.

Then use the formula for the volume of a rectangular solid: volume = length x width x height.

So the volume of concrete needed for Greg's driveway is 6.096 meters x 10.9728 meters x 0.1016 meters = 6.801 cubic meters.

The cost of the concrete is $135 per cubic meter, so the total cost for the concrete that he will need for his driveway is 6.801 cubic meters x $135/cubic meter = $918.14.

5. The volume of each planting box is 48 inches x 24 inches x 18 inches = 20736 cubic inches.

To convert cubic inches to cubic yards, divide by 46656 (1 cubic yard = 46656 cubic inches).

So each planter box requires 20736 cubic inches / 46656 cubic inches/cubic yard = 0.44444 cubic yards of potting soil.

Susan needs to build 35 planting boxes, so she will need 35 x 0.44444 cubic yards = 15.5554 cubic yards of potting soil.

Holland Growers charges $17 per cubic yard of potting soil, so the cost from them will be 15.5554 cubic yards x $17/cubic yard = $264.45.

Night Growers charges $21.50 per cubic meter of potting soil, which is equivalent to $16.34 per cubic yard (1 cubic meter = 1.30795 cubic yards).

So the cost from Night Growers will be 15.5554 cubic yards x $16.34/cubic yard = $254.36.

Therefore, the total cost of the topsoil she needs from each supplier is $264.45 from Holland Growers and $254.36 from Night Growers.

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We write out and number the equations