2. Which person has the highest hourly
wage? How do you know?

Los Angeles and Palm Springs California are at about the same latitude. Temperatures in LA average in the 70s and 80s, whereas in Palm Springs, temperatures are in the 90s and 100s.

The property of water that results in the moderation of temperatures near a large body of water is its thermal properties. One of the unique properties of water is that it has a high heat capacity. This means that it can absorb and retain more heat energy than most other materials. When a large body of water is near a region, the heat that radiates from the Sun gets absorbed by the water.This keeps the area cool, as water takes a long time to warm up. This is why temperatures near oceans and lakes tend to be milder than inland areas.

In Palm Springs, there is no large body of water in the surrounding areas, which is why temperatures are higher compared to Los Angeles even though they are at about the same latitude .In summary, the thermal properties of water, which is the property that results in the moderation of temperatures near a large body of water, is responsible for the cooler temperatures in Los Angeles.

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A company produces optical fiber cable, then the answer to four decimal place is P ( x < 3 ) = 0.089.

Based on the given conditions,

A company produces optical fiber cable with a mean = 0.5 flaws

A company produces optical fiber cable with a mean = 100 feet

There will be less than 3 flaws and 1200 feet of cable

So,

We can write,

Mean = 0.5/100

Flaws f = 3

Distance \(d_{2}\) = 1200feet

To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products.

Generally the equation for Poisson mean lambda over 1200 is mathematically given by,

λ = 0.5 * \(\frac{1200}{100}\)

λ = 0.5*12

λ = 6

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P ( X = x ) = (e^-λ * λ^x )/ x!

Where,

x is the number of successes

e = 2.71828 is the Euler number

λ = is the mean in the given interval.

Hence,

P ( x < 3 ) = (e^-λ * λ^x )/ x!

P ( x < 3 ) = \(\frac{e^{-6}*6^{3} }{3!}\)

P ( x < 3 ) = (0.00248 * 216)/3*2*1

P ( x < 3 ) = (0.00248 * 216)/6

P ( x < 3 ) = (0.5356)/6

P ( x < 3 ) = 0.089

Therefore,

A company produces optical fiber cable, then the answer to four decimal place is P ( x < 3 ) = 0.089.

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Answer:

9e^5f^6

Step-by-step explanation:

Answer:32 x 10 to the fifth power

Step-by-step explanation:

4000 X 800 = 3,200,000  3,200,000=32x10 to the fifth power

Answer:

2*10^5

Step-by-step explanation:

800,000,000/4000= $200,000

Answer:

9

Step-by-step explanation:

Answer:

the answer orange is n=3

Answer:

56 dude

Step-by-step explanation:

Answer:

56!!!!!!

Step-by-step explanation:

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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The answer is option (a) The null and alternative hypotheses would be: : μ1 = μ2 and H1: μ1 ≠ μ2. The results are statistically significant at α = 0.10 level of significance.

Given, The number of randomly surveyed shoppers on the day after Thanksgiving = 41The number of randomly surveyed shoppers on the day after Christmas = 54.

The average amount of money spent by shoppers on the day after Thanksgiving = $130.

The standard deviation of money spent by shoppers on the day after Thanksgiving = $43The average amount of money spent by shoppers on the day after Christmas = $139The standard deviation of money spent by shoppers on the day after Christmas = $41We have to determine if shoppers at the mall spend the same amount of money on average the day after Thanksgiving compared to the day after Christmas.

For this study, we should use the null and alternative hypotheses.

Thus, the final conclusion is that the results are statistically significant at α = 0.10 level of significance, so there is sufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is a different amount of money compared to the population mean amount of money that day after Christmas shoppers spend. T

herefore, the answer is option (a) The null and alternative hypotheses would be: : μ1 = μ2 and H1: μ1 ≠ μ2.

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The volume of water that Sharon must add to the 5 liters mixture to make a solution that is 12% soap is 10 liters

From the question, we are to determine how many liters of water must Sharon add to 12% soap solution

Using the dilution law formula,

C₁V₁ = C₂V₂

Where C₁ is the initial concentration

V₁ is the initial volume

C₂ is the final concentration

and V₂ is the final volume

From the given information,

C₁ = 36%

V₁ = 5 liters

C₂ = 12%

V₂ = ?

Putting the parameters into the equation, we get

36 × 5 = 12 × V₂

180 = 12V₂

∴ V₂ = 180 / 12

V₂ = 15 liters

This means the final volume of the solution will be 15 liters.

Volume of water that must be added = V₂ - V₁

Volume of water that must be added = 15 liter - 5 liters

Volume of water that must be added = 10 liters

Hence, the volume of water that Sharon must add to the 5 liters mixture to make a solution that is 12% soap is 10 liters.

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Answer:

10 liters

Step-by-step explanation:

hope it helps:3

The exponential function that models the relationship is:

g(x) = 8 * (2.5)^x

To model the relationship described, we can write the exponential function as:

g(x) = a * b^x

Given that the dependent variable is multiplied by 2.5 for every 1 unit increase in the independent variable, we have:

2.5 = b^1

Solving for b, we find that b = 2.5.

Now, we can substitute the value of x = 0 into the equation and solve for a:

8 = a * (2.5)^0

8 = a * 1

a = 8

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The triangle when dilated by a scale factor of -1/2 the final image is at the coordinates:

A' = (6, 3)

B' = (6, 5.5)

C' = (5, 4)

The coordinates of the preimage are

(-3, 3), (-3, -2), and (-1, 1)

this is achieved using the formula

=  (k(x - a) + a, k(y - b) + b)

(a, b) is the center of dilation and k is the scale factor

the dilation is done as follows

preimage      dilation                                         image

(-3, 3)         (-0.5(-3 - 3) + 3, -0.5(3 - 3) + 3)        (6, 3)

(-3, -2)       (-0.5(-3 - 3) + 3, -0.5(-2 - 3) + 3)       (6, 5.5)

(-1, 1)          (-0.5(-1 - 3) + 3, -0.5(1 - 3) + 3)          (5, 4)

The final coordinates are (6, 3), (6, 5.5) and (5, 4)

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right on Edge 2020

Step-by-step explanation:

304

plug 4 in for x

3(4)^2 + 4(4)^3 = 304

48 + 256 = 304

Answer:

= 19 R 0

= 19

Step-by-step explanation:

Answer:

(a) 1416

(b) 2 × 2 × 2 × 3 × 59

Step-by-step explanation:

The prime numbers between 0 and 10 are 2, 3, 5,7 (1 is not considered prime)
Therefore m = 2357

The square numbers between 0 and 10 are  1, 4, 9 and in descending order 9,4.1so n = 941

m - n = 2357 - 941 = 1416

Unique prime factors of 1416 are 2,3,59

1416 as a product of prime factors = 2 × 2 × 2 × 3 × 59

Answer:

x=-3×-5×-7

-3×-5=15

15×-7=-105

=-105

For z = −3 + j4, evaluate 1/z. Simplifying 1/z, we get,\[\frac{1}{z}=\frac{1}{-3+j4}\]Multiplying numerator and denominator by the conjugate of the denominator,\[\frac{1}{z}=\frac{1}{-3+j4}\cdot\frac{-3-j4}{-3-j4}\] \[\frac{1}{z}=\frac{-3-j4}{25}\] \[=\frac{-3}{25}-j\frac{4}{25}\]Now, we need to convert this expression to polar form.

\[\begin{align}\left\vert\frac{1}{z}\right\vert&=\frac{1}{\left\vert -3+j4 \right\vert}\\&=\frac{1}{5}\\ \theta &=\arctan\left( -\frac{4}{3} \right)+\pi\end{align}\]Hence, \[\frac{1}{z} = \frac{1}{5}\angle(2.2143)\] (b) For z = −3 + j2, evaluate \[\sqrt{z}\].Here,\[\begin{align}\left\vert z \right\vert&=\sqrt{(-3)^2+2^2}\\ &=\sqrt{13}\end{align}\]

Now, \[\theta = \arctan\left( \frac{2}{-3} \right)+\pi\]\[\begin{align}\Rightarrow \sqrt{z}&=\sqrt{\sqrt{13}\angle\left( \arctan\left( \frac{2}{-3} \right)+\pi \right)}\\ &=\sqrt[4]{13}\angle\left( \frac{1}{2}\arctan\left( \frac{2}{-3} \right)+\frac{\pi}{2} \right)\end{align}\](c) For z = −5 + j13, evaluate \[\left\vert z^2 \right\vert\].

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The general solution to the equation +rtan 0 = 6 sec 0 tan 0 de is r = 6/cos 0.

This means that r can take any value that satisfies this condition, as long as there are no lost solutions.

To obtain the general solution, we start by simplifying the equation using trigonometric identities. We know that sec 0 = 1/cos 0, and we can substitute this into the equation to get:

r tan 0 = 6/cos 0 tan 0

Dividing both sides by tan 0, we get:

r = 6/cos 0

This is the general solution to the equation, as r can take any value that satisfies this condition. However, it is important to note that there may be lost solutions, which occur when the simplification process involves dividing by a variable that may be equal to zero for certain values of 0. Therefore, it is important to check for such values of 0 that may result in lost solutions.

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Answer:

2.924

Step-by-step explanation:

First you'll solve the parenthesis:

...- (5.5-5.5)

...-(0)

Now solve the equation:

\(\sqrt[3]{5^{2} - 0}\)

\(\sqrt[3]{25}\)

Now solve fully

I hope this helps :)

Answer:

the answer is 3 times the square root of 27

Step-by-step explanation:

Answer:

Its 100 cm(2) ! :D

Answer:

V=lwh

3=15·15·20

3=1500

Step-by-step explanation:

Answer:

62.5 copies per minute

Step-by-step explanation:

Note that the word "per" means divide.  So, a rate of change in "copies per minute", means a number of copies divided by a number of minutes

If the copy machine can make 250 copies in 4 minutes, then the number of copies is 250 copies, and the number of minutes is 4 minutes:

\(\text{rate of change in copies per minute}=\dfrac{\text{number of copies}}{\text{number of minutes}}\)

\(\text{rate of change in copies per minute}=\dfrac{\text{250 copies}}{\text{4 minutes}}\)

\(\text{rate of change in copies per minute}=62.5\dfrac{\text{copies}}{\text{minute}}\)

20.93 is 7% of that

\( \large \bf \implies{15}\)

\(\bf \longrightarrow((2 + 4 \times 2) - 5) \times 3\)

Step 1) ; Calculate the product or quotient

\(\bf \longrightarrow((2 + 8) - 5) \times 3\)

Step 2) ; Calculate the sum or difference

\(\bf \longrightarrow(10 - 5) \times 3\)

Step 3) : Calculate the sum or difference

\(\bf \longrightarrow5 \times 3\)

Step 4) : Calculate the product or quotient

\(\bf \longrightarrow15\)

we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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Answer:

ddddd

Step-by-step explanation:

The value of t for part 1 is 4, for part 2 value of t is 0, for part 3 value of t is -4.5, for part 4 value of t is 0 and for part 5 the value of t is -6.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the question,

1. -4(t-2) = 12 - 2t -3t

-4t+8 = 12-5t

t = 4

2. 3t +9t-18 = 4t(3) - 6(3)

t = 0

3. 18t - 5(6+4t) = 6(t+4) - 18

-8t = 36

t = -4.5

4. 3(2t-5)+14=4t+2t

6t - 15+14 = 6t +1

t = 0

5. 1/2 t(8) = 10(t+2)+16

4t-10t=36

t = -6

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The solution of the given linear system of equations is x = 2, y = 1 and z = 2.

Given that the linear system of equations is

2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3

To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:

A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]

To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:

|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12

The determinant is non-zero, hence A is invertible

A⁻¹ = 1/|A| [adj A]

where adj A is the transpose of the cofactor matrix [C] of A:

adj A = [C]T

So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:

C = [5, 2, 6; 2, -2, 2; -4, -4, -4]

Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]

To solve the system of equations, we have x = A⁻¹B as below:

x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]

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