. Nick has a job delivering pizzas. He is paid $11.50 for each hour he works, then earns an extra $5 for each delivery he makes. Nick would like to earn more than $145 when he works his 7-hour shift on Saturday. What is the minimum number of deliveries he must make to do this?

Answer:

I believe it is -94m-2n

Select all that apply

Question options :

The median height of the sample must be between 59 and 63 inches.

Another random sample of 20 trees is likely to have a mean between 57 and 65 inches.

The mean height of these 20 trees is likely to be the same as the mean height of all trees in the back field .

The mean height of these 20 trees is likely to be the same as the mean height of a second random sample of 20 trees.

Shawn would be more likely to get an accurate estimate of the mean height of the population by sampling 40 trees instead of sampling 20 trees.

Answer:

The median height of the sample must be between 59 and 63 inches.

The mean height of these 20 trees is likely to be the same as the mean height of all trees in the back field .

The mean height of these 20 trees is likely to be the same as the mean height of a second random sample of 20 trees.

Shawn would be more likely to get an accurate estimate of the mean height of the population by sampling 40 trees instead of sampling 20 trees

Explanation:

The mean absolute deviation is the summary of absolute deviations from the central point or average of a data set. The central point measurement can be the mean, median or mode of the data set. An average absolute deviation can be used instead of a standard deviation to measure dispersion from central point.

In the above case, a sample is taken of 20 trees and there is a mean absolute deviation of 2, hence, median can be between 59 and 63. Also sample represents population, therefore mean of another sample taken is likely to be same as the previous one taken. Mean invariably gets more accurate as sample size increases too.

You like to watch movies at the local theater. You have two payment options. Your first option is to buy a discount card which will cost you $160, and then $20 for m movies, 20m + 160. Your second option will cost you $100, and then pay $40 for m movies, 40m + 100. After how many movies will the total costs of the two options be the same?

the answers is 3

Answer:

Answer is 18 , because you add 15 and 3 which makes 18 so your answrer is x=18

Step-by-step explanation:

really hope this helped , please give me brainlest :) .

The area of a regular heptagon is obtained by multiplying the apothem length by the perimeter of the heptagon and then dividing the result by two.

We can use the formula to calculate the area of the heptagon as follows: Area of heptagon=1/2×apothem×perimeter. Substitute the given values into the formula: Area of heptagon=1/2×4.2 ft×(7×4.0 ft)≈58.4 sq ft. Therefore, the area of the heptagon is approximately 58.4 square feet.

The area of a regular heptagon is obtained by multiplying the apothem length by the perimeter of the heptagon and then dividing the result by two. In the given problem, we have a regular heptagon with a side of approximately 4.0 feet and an apothem of approximately 4.2 feet. We can use the formula to calculate the area of the heptagon as follows:Area of heptagon=1/2×apothem×perimeterThe perimeter of a regular heptagon is obtained by multiplying the length of one side by the number of sides. Since we know that the side of the heptagon is approximately 4.0 feet, we can use this value to find the perimeter:Perimeter of heptagon=7×4.0 ft=28.0 ftSubstitute the given values into the formula:Area of heptagon=1/2×4.2 ft×(7×4.0 ft)≈58.4 sq ftTherefore, the area of the heptagon is approximately 58.4 square feet.

Therefore, the area of the heptagon is approximately 58.4 square feet.

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Answer:

Step-by-step explanation:

The standard deviation for this sample is 1.1 grams, indicating the typical amount of deviation of individual sugar content values from the average.

The average sugar content in a one-cup serving of the breakfast cereal, based on the sample of 140 servings, is calculated by summing up the sugar content values of all the servings and dividing it by the total number of servings (140).

This gives us the mean or average value of 11.9 grams.

The standard deviation of the sugar content in a one-cup serving, based on the sample, measures the spread or variability of the sugar content values around the average.

It is calculated by determining the squared differences between each sugar content value and the mean, summing up these squared differences, dividing it by the total number of servings minus one (139), and then taking the square root of the result.

The standard deviation for this sample is 1.1 grams, indicating the typical amount of deviation of individual sugar content values from the average.

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The center of mass of the right triangle is 2.14

The term center of mass refer a point where the whole mass of the body is supposed to be concentrated.

Here we have given that a 60-cm length of uniform wire, of 60 g mass and negligible thickness, is bent into a right triangle.

And we need to find the center of mass.

According to the following diagram, we have identified the values of

m1 = 24

m2 = 26

m3 = 20

r1 = 5

r2 = 5

r3 = 0

Then based on these values the center of mass is calculated as,

=> [(24 x 5) + (26 x 5) + (20 x 0)]/[24 + 26 + 20]

When we simplify this one then we get,

=> [ 120 + 130 + 0] / 70

Further simplification leads the value of,

=> 150/70

=>15/7

When we simplify this fraction into decimal then we get,

=> 2.14

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To find the volume in the first octant lying inside both the sphere x^2 + y^2 + z^2 = 6z and the cone z^2 = 3(x^2 + y^2), we can set up a triple integral.

First, let's find the intersection points of the sphere and the cone. By substituting the equation of the cone into the equation of the sphere, we get:

x^2 + y^2 + (3(x^2 + y^2))^2 = 6(3(x^2 + y^2))
x^2 + y^2 + 9(x^2 + y^2)^2 = 18(x^2 + y^2)
9(x^2 + y^2)^2 - 17(x^2 + y^2) = 0

Factoring out (x^2 + y^2), we have:
(x^2 + y^2)(9(x^2 + y^2) - 17) = 0

So, either x^2 + y^2 = 0 or 9(x^2 + y^2) - 17 = 0. Since we're looking for the volume in the first octant, the only valid solution is 9(x^2 + y^2) - 17 = 0.

Now, let's set up the triple integral. We'll integrate over the region defined by x ≥ 0, y ≥ 0, and the equation of the cone:

∫∫∫ R dV

Where R is the region in the xy-plane bounded by the curve 9(x^2 + y^2) - 17 = 0.

To convert to polar coordinates, we use x = rcosθ and y = rsinθ. The equation of the cone in polar coordinates becomes:

9(r^2) - 17 = 0
r^2 = 17/9

The limits of integration are:
θ: 0 to π/2 (since we're in the first octant)
r: 0 to √(17/9) (from the equation of the cone)

Now we can set up the integral:

∫[0 to π/2] ∫[0 to √(17/9)] ∫[0 to 6z] r dz dr dθ

Evaluating this triple integral will give us the volume in the first octant lying inside both the sphere and the cone.

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Main Answer: If ab = 4, then (a – b)3 – 9(a – b) = 0.

Supporting Explanation :Given that ab = 4To prove that (a – b)3 – 9(a – b) = 0.(a – b)3 – 9(a – b) = 0 can be written as (a-b)[(a-b)²-9]=0(a-b)²-9=0(a-b)²=9a-b=3 or a-b=-3as ab=4Let's take a=4 and b=1So, a-b=3(a-b)³-9(a-b)=0So, (3)³-9(3)=0 Therefore, (a – b)³ – 9(a – b) = 0 when a=4 and b=1.

The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions. On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.

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4.84 HP is the amount of work energy used.

Given info,

A helicopter is lifting an 800-pound unit at a rate of 200 feet per minute.

1 horsepower = 550 foot-pounds per second

⇒ 800 x 200 = 160,000 foot-pounds per minute

                      = 160,000/60 foot pounds per second.

Horsepower = 160,000/60 * 550 = 428/33

                                                       = 4.848 HP

Therefore, the horsepower of work energy used is 4.84 HP

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The probability that the mean weight of the sample babies would differ from the population mean by less than 54 grams is 0.4339.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 3316 grams - 54 grams = 3262

μ = mean = 3316 grams

σ = standard deviation = 324 grams

z-score = (3262 - 3316) / 324

z-score = -54 / 324

z-score = -0.1667

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = -0.1667

Using interpolation of values,

probability = 0.4339

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Answer:

looks right

Step-by-step explanation:

Answer:

you are correct

Step-by-step explanation:

Answer:

Proportion of female older Than 60 in country A is not more than the proportion of female older Than 60 in country B.

Step-by-step explanation:

From. The plot given :

We could approximate the proportion of females older than 60 as follows _

COUNTRY A :

60 - 69 = 0.105

70 - 79 = 0.065

80 - 89 = 0.038

90+ = 0.01

Total = About 0.218

COUNTRY B :

60 - 69 = 0.14

70 - 79 = 0.11

80 - 89 = 0.07

90+ = 0.02

Total = About 0.34

From the estimated proportion, the proportion of females on country B is more than the proportion in country A.

Answer:

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We have a repeating decimal 4.6(1).

Let's express it as a GP:

Fund the sum of infinite GP, with the first term of a = 0.01 and common ratio of r = 0.1:

Add 4.6 to the sum:

Hence the fraction is 4 11/18.

Answer:

0.875   =  decimal of 1/8   Therefore 7/8 = 0.125 * 7

Step-by-step explanation:

This is shown as 1/8 = 1.125 * 7   and here you go learn your 1/2=0.5 1/3= 0.333333333   1/4=025  1/5= 02 1/6= 0.166666667   1/7= 0.142857143  (just remember 6*7= 42 85 then put a dot 1 in front     1/8= 0.125   1/9= 0.111111111   1/10= 0.1  1/11= 0.0909090909    remember then put a dot in front 09090   1/12= 08333  1/13= 0.0769230769  remember prime order first then put a dot in front  0769   1/14= 0.0714285714 remember 10th prime order first fro here on for all  as 1/14 = 0.07142  it has a 14 in-between prime 7 and 2     Therefore all decimals  1/14-1/19 have prime at 100th 0062 or 005  same as 2/3 at 100th start then put a dot 0  in front   1/16=0.0625 prime order at end 100th and 1000th 25 place a dot and 0 and 6 in front of 25  1/17= 0.0588235294 prime order start at 100th = 5 and 88 then 2 prime at 100/000th where 5 jumped to 100th as it had changed 1/16 to 1/17   1/18 = 0.0555555556 = all the 5's fro 10th 1/19= 0.0526315789    52 prime at 100th and 1000th then 63 new prime at 100000 just those 4 number's 3/4 are prime at 1/19 then    1/20 = 0.05  Then to find another fraction quickly we an adjust to multiplication by rounding up to 3dp  Furthermore this will help you with Percentages

Answer:

B. 9 feet

Step-by-step explanation:

area = side^2

side^2 = 84

side = sqrt(84)

side = 9.2 ft

Each side of a wall measures 9.2 ft.

Answer:

where are the questions

Answer:

x=93

Step-by-step explanation:

Same explanation as last one I answered. :)

The exact length of the curve of the equation y = 1/4 x² − 1/2 ln(x), 1 ≤ x ≤ 4 is 1.125

Here we have given an equation y = 1/4 x² − 1/2 ln(x) with the limit as 1 ≤ x ≤ 4.

Now, the arc length is calculated by differentiating the terms, then we get,

=> dy/dx = x/2 - 1/2x

Now, we have to apply these derivative on the arc length formula, then we get,

=> length =  \(\int\limits^4_1 {\sqrt{1 + (\frac{x}{2} -\frac{1}{2x})^2 } } \, dx\)

When we simplify this one then we get,

=> length = \(\frac{1}{2} \int\limits^4_1 {\sqrt{x^2 + 2 + \frac{1}{x^2} } } \, dx\)

When we further simplify this one then we get,

=> length = \(\frac{1}{2} \int\limits^4_1 {x + \frac{1}{x} } \, dx\)

Now, the result of the differentiation is

=> length = 1/2 [17/4 - 2]

=> length = 1/2 [9/4]

=> length = 1.125

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Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Answer: quadrilateral is inscribed in a circle , then supplementary . " its opposite angles are Given : Quadriateral ABCD is inscribed in OE Prove : ABC

Step-by-step explanation:

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Step-by-step explanation:

Ef

2×9+2

=20

Ab

2×20-20

=20

To find the derivative of the function y = cot(3x) using logarithmic differentiation, we can take the natural logarithm of both sides of the equation and then differentiate implicitly.

In logarithmic differentiation, we use the properties of logarithms to simplify the differentiation process. Taking the natural logarithm of both sides of the equation gives us ln(y) = ln(cot(3x)). Applying the logarithmic identity ln(cot(3x)) = ln(1/tan(3x)) = -ln(tan(3x)), we obtain ln(y) = -ln(tan(3x)).

Next, we differentiate both sides of the equation implicitly with respect to x. The derivative of ln(y) with respect to x is (1/y) * dy/dx, and the derivative of -ln(tan(3x)) with respect to x can be found using the chain rule and the derivative of tan(3x).

After differentiating, we solve for dy/dx to find the derivative of y = cot(3x) in terms of x. The final answer will be expressed solely in terms of x, representing the derivative of the Tower Function with respect to x.

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The volume of each of the figures as represented in the task content are;

By observation, the volume of each of the given rectangular prism is the product of all of its 3 dimensions.

Therefore,

1). For the (3cm , 1.5cm , 2.1cm)

Volume = 3 × 1.5 × 2.1

V = 9.45 cm³.

2). For the (4½ft , 1¼ft , 5ft)

Volume = 4½ • 1¼ • 5

V = 28.125 ft³.

3). For the (3ft , 3ft , 3ft)

Volume = 3 × 3 × 3

V = 27 ft³.

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Answer:

1.445 *10^4

Step-by-step explanation:

it is already in standard form

standard: 14450

scientific notation: 1.445 * 10^4