Find the product of d = ba. d11 = d12 = d21 = d22 =

Answer:

Scale of 181: 1

Step-by-step explanation:

The first thing to do is to pass the feet by the meter, to work in the same units and thus create a consistent scale:

We know that one foot equals 0.3048 meters, therefore:

8 feet * 0.3048 meters / 1 foot = 2.4384 meters

So the scale would be:

443.2 / 2.4384 = 181.75

Which means that it is best to make a scale of 181: 1

Where 181 meters from the Empire State Building would equal 1 meter at home 0 181 inches would equal 1 inch at home

Without the individual probability of a passenger showing up, we cannot calculate the exact probability of the number of people who show up exceeding the capacity of the plane

To solve this problem, we need to determine the probability that more than 65 people (the capacity of the plane) will show up from the 70 booked passengers.

Step 1: Identify the relevant information
- Maximum capacity of the plane: 65
- Number of people booked: 70

Step 2: Calculate the probability of each possible outcome
To exceed the capacity, at least 66 passengers must show up. We need to calculate the probability of 66, 67, 68, 69, and 70 passengers showing up. However, we don't have information on the individual probability of a passenger showing up. If we had this information, we could use the binomial probability formula.

Step 3: Express the final answer
Unfortunately, without the individual probability of a passenger showing up, we cannot calculate the exact probability of the number of people who show up exceeding the capacity of the plane. Please provide the probability of a passenger showing up so we can give you an accurate answer.

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Answer:

B

Step-by-step explanation:

Answer:

-31.5

Step-by-step explanation:

36(0.25)+ 42(-1)-18(0.25)+6
9-42-4.5+6

=-31.5

Assuming that the histogram for the sample is bell-shaped, approximately 68% of the sample values are within one standard deviation of the mean, 95% of the sample values are within two standard deviations of the mean, and 99.7% of the sample values are within three standard deviations of the mean.

Therefore, to estimate the percentage of sample values between 70 and 82, we need to find the number of standard deviations away from the mean that corresponds to these values.

Once we have the mean and standard deviation, we can use the formula:

z = (x - μ) / σ

where z is the number of standard deviations away from the mean,

x is the sample value,

μ is the mean,

and is the standard deviation.

The percentage of sample values between 70 and 82 will be the difference between these two percentages.

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take a peek at your Unit Circle, let's notice that in Quadrant IV the cosine is positive and the sine is negative, or namely the adjacent side is positive and the opposite side is negative, so hmmm

\(cos(\theta )=\cfrac{\stackrel{adjacent}{4}}{\underset{hypotenuse}{41}}\qquad \impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(\pm\sqrt{41^2-4^2}=b\implies \pm\sqrt{1665}=b\implies \pm 3\sqrt{185}=b\implies \stackrel{IV~Quadrant}{-3\sqrt{185}=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill sin(\theta )=\cfrac{\stackrel{opposite}{-3\sqrt{185}}}{\underset{hypotenuse}{41}}~\hfill\)

Answer:

Option (C): The Rome data center is best described by the mean. The New York data center is best described by the median.

Step-by-step explanation:

1. Rome

Minimum=0

Maximum=16

Median ,

Mean = 8

Standard Deviation(σ)=5.4

As, difference between , Maximum -Mean =Mean - Minimum=8

So, Mean will Worthy description to find the center of Data set, given about Rome.

2. New York

Minimum=1

Maximum=20

Median , Q2 = 5.5

Mean = 7.25

Standard Deviation(σ)=6.1

As, for New york , Mean is not the mid value, that is difference between Mean and Minimum is not same as Maximum and Mean.

As, you can see , the three Quartiles ,  are very close to each other, it means , other data values are quite apart from each other. So, Mean will not  appropriately describe the given data.So, in this case Median will suitable to find the center.

1) The total cost for 15 trips to Chicago is $7,335.

2) The 15 trips to Boston cost more.

We know that each travel to chicago costs $489, then the cost of x travels to chicago is:

C(x) = $489*x

Here we know that Jason frequently travels for work, and he makes 15 travels to Chicago, so we can replace x by 15, so we will get:

C(15) = $489*15 = $7,335

So the total cost for the airfare is $7,335.

Second question, a tripo to Boston costs $178, then 15 trips to Boston costs:

15*$178 = $2,670

While a trip to New York costs $225, then the cost of 11 trips is:

11*$225 =  $2,475

So we can see that 15 trips to Boston costs more.

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The values (-7.5)-21.04 and (-7.5)+21.04 are not the same

A decimal can be defined as a number consisting of a whole number and also a fractional part.

These numbers are separated by a dot known as the decimal point

The decimal numeral system is seen as a standard system that denotes integer and non-integer numbers.

It is important to note the following operations;

From the information given, we have;

(-7.5)-21.04

Multiply the operation

+ 157. 8

Then,

(-7.5)+21.04

Multiply the operation

- 157. 8

Hence, the values are either negative or positive.

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Answer:

-421 feet

Step-by-step explanation:

If she started at 243 feet, subtract 782 feet which is -539 feet. Then add 118 feet which is -421 feet. This is how my sister did it so I hope it helps!

An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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Lady Macbeth exemplifies the traditional role of a woman by showing her hospitality, generosity, graciousness, and support to her guests.

At the banquet in Macbeth, Lady Macbeth fulfills a traditional feminine role in several ways. Firstly, she demonstrates her hospitality and generosity by welcoming the guests and providing them with food and drink. Secondly, she shows her nurturing nature by urging Macbeth to be more hospitable and to provide the guests with more generous servings. Thirdly, she shows her graciousness and hospitality by offering the guests timely compliments. Lastly, she shows her caring and supportive nature by encouraging Macbeth to be more gracious and generous. Altogether, Lady Macbeth exemplifies the traditional role of a woman by showing her hospitality, generosity, graciousness, and support to her guests.

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Answer:

20 Pints

Step-by-step explanation:

If there are 8 pints in 1 gallon of water, then multiply 8 by 2.5 to get 20 pints of water.

Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.

Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).

Given,

Create another line perpendicular to AB passing through C on AB..

Line passing through AB is perpendicular.

Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.

A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.

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Answer:

a) T = 25n + 40

b) T = $415

Step-by-step explanation:

The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:

T = 25n + 40

Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:

T = 25(15) + 40

T = 375 + 40

T = $415

The cost of 15kg of potatoes and one dozen bananas is $415.

Hope this helped!

Answer:

c

Step-by-step explanation:

Her mental age would be 8 yrs old.

IQ [ Intelligent Quotient ]  is a type of standard score that indicates how far above, or how far below, his/her peer group an individual stands in mental ability.

IQ of a person is given by the formula -

IQ = MA/CA * 100

IQ = Mental Age / Chronological Age * 100

According to the question, IQ = 100, CA = 8

⇒ 100 = MA / 8 *100

⇒1 = MA / 8

⇒ MA = 8 Yrs

Hence, the estimated mental age of susan is 8 yrs old.

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Answer: \(\frac{1}{16}\)

Step-by-step explanation:

1. Original Equation: \(4^4(4^-^7)(4)\)

2.Simplify: \(4^4(4^-^7)(4) ----> 4^4* 4^-^7 * 4\\\)

3.Apply exponent rule: \(4^4^-^7^+^1\)

4. Simplify: \(4^-^2\\\)

5.Apply exponent rule: \(\frac{1}{4^2}\)

6.Simplify: \(\frac{1}{16}\)

a. The crossing point n0 at which c1 * n^a = c2 * n^b is given by n0 = 10^(-log(c1 / c2) / (a - b)).

b. as n grows larger, nb and nb+na become arbitrarily close, and the term na becomes irrelevant in the comparison.

a. To find the crossing point n0 at which c1 * n^a = c2 * n^b, where a < b and c1, c2 are constants, we can solve the equation:

c1 * n^a = c2 * n^b

Dividing both sides by n^b, we get:

(c1 / c2) * n^(a-b) = 1

Taking the logarithm of both sides, we have:

log((c1 / c2) * n^(a-b)) = log(1)

Using logarithmic properties, we can simplify the equation:

log(c1 / c2) + (a - b) * log(n) = 0

Now, solve for n:

log(n) = -log(c1 / c2) / (a - b)

Taking the antilogarithm of both sides, we obtain:

n = 10^(-log(c1 / c2) / (a - b))

Therefore, the crossing point n0 at which c1 * n^a = c2 * n^b is given by n0 = 10^(-log(c1 / c2) / (a - b)).

b) To prove that nb+na and nb become arbitrarily close as n grows larger (i.e., na becomes irrelevant), we can compare the growth rates of nb+na and nb.

Let's take the ratio of nb+na to nb:

(nb+na) / nb = (n^b * n^a) / n^b = n^a

As n grows larger, the dominant term in the ratio (nb+na) / nb is n^a.

Since a < b, as n grows larger, the term n^a becomes less significant compared to n^b. In other words, nb dominates nb+na.

Therefore, as n grows larger, nb and nb+na become arbitrarily close, and the term na becomes irrelevant in the comparison.

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Answer: - 67

Step-by-step explanation:

Quadratic sequence

-2 , -4 ,-8 , -16 , .... so on

the equation of the line tangent to f(x) = -2sin(x) at x = 34π is y = -2x + 68π + 2sin(34π).

To find the equation of the line tangent to the function f(x) = -2sin(x) at x = 34π, we need to find the slope of the tangent line at that point, and then use the point-slope form of the equation of a line.

The slope of the tangent line is equal to the derivative of the function at x = 34π. We can find the derivative of f(x) using the chain rule:

f'(x) = -2cos(x)

Therefore, f'(34π) = -2cos(34π) = -2.

This means that the slope of the tangent line is -2 at x = 34π.

To find the equation of the tangent line, we also need a point on the line. Since the tangent line passes through the point (34π, f(34π)), we can use this point as the point-slope form of the equation of the line:

y - f(34π) = m(x - 34π)

Substituting the values we have found, we get:

y - (-2sin(34π)) = -2(x - 34π)

Simplifying, we get:

y = -2x + 68π + 2sin(34π)

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The percent change from 2013 to 2014 is 26.19%

The percent change from 2014 to 2015 is -9.43%

From the information illustrated, the following can be deduced:

2013 42

2014 53

2015 48

The percent change from 2013 to 2014 will be:

= (53 - 42) / 42 × 100

= 11 / 42 × 100

= 26.19%

The percent change from 2014 to 2015 will be:

= (48 - 53) / 53 × 100

= -5 / 53 × 100

= -9.43%

In conclusion, the above illustrate the percentage change in the years.

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The HCF of 360, 450, and 696 by factorization method is 90.

To find the HCF (highest common factor) of 360, 450, and 696 by factorization method.

We need to first prime factorize each number:

360 = 2^3 × 3^2 × 5

450 = 2 × 3^2 × 5^2

696 = 2^3 × 3 × 29

Next, we identify the common factors and their smallest exponents in all three factorizations:

2^1, 3^2, 5^1

To find the HCF, we multiply the common factors with their smallest exponents together:

HCF = 2^1 × 3^2 × 5^1

HCF = 2 × 9 × 5

HCF = 90

Therefore, the HCF of 360, 450, and 696 is 90.

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Answer:

B

Step-by-step explanation:

2-3x7x-3

2.5

2.5 --3

this be good

Answer:

7

Step-by-step explanation:

H(x)=x^2-3x+7

=(-3)^2-3*(-3)+7

=9-9+7

=7

210 feet  To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:

42feet/9.4 feet= 4.468

That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468=  210 feet.

Answer:

2 boxes of rulers & 3 boxes of protractors

Step-by-step explanation:

2x 12= 24

8 x 3 = 24

Answer:
2 boxes of rulers and 3 boxes of protractors

Step-by-step explanation:

Find the LCM (Lowest Common Multiple) of 12 and 8

12: 24

8: 16, 24

The LCM is 24

To work out the boxes do:

24 divided by 12 = 2

24 divided by 8 = 3

The kind of sequence is a prime number if Norma cuts 3, 5, 8, 13 roses from the four bushes.

A prime number is a natural number higher than 1 that is not the sum of two lesser natural numbers. A composite number is any natural number that is more than 1 but not a prime. As an illustration, the number 5 is prime since there are no other ways to write it either a product than as 1 5 or 5 1. The basic arithmetic theorem states that every natural number greater than 1 is either a prime itself or can be factored as a product of primes that is unique up to their order, making primes a prominent concept in number theory.

Given,

The number of roses cut by Norma from the first rose bush are 3 roses.

And from the second rose bush are 5 roses and from the third rose bush are 8 roses.

And from the fourth rose bush are 13 roses.

1     2     3     4

3     5     8      13

Here, the roses are 3, 5, 8, 13

Therefore, the kind of sequence is a prime number.

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Answer:

2/3 ft

Step-by-step explanation:

area of triangle =base*height/2

2/5=base*6/5/2

2/5 *2 =base * 6/5

4/5 =base*6/5

4/5÷6/5=base

4/5 * 5/6=base

20/30=base

2/3=base

therefore base=2/3 ft