How do you factor 5x+10y+30z

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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Answer:

XZ ≈ 14.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle, that is

cos29° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{YZ}{XZ}\) = \(\frac{12.6}{XZ}\) ( multiply both sides by XZ )

XZ × cos29° = 12.6 ( divide both sides by cos29° )

XZ = \(\frac{12.6}{cos29}\) ≈ 14.4 cm ( to 3 significant figures )

Answer:

there are 16 pink roses

Step-by-step explanation:

Number of pink roses = fraction of pink roses x total number of roses bought

fraction of pink roses = 1 - fraction of red roses

1 - 1/3

= 3/3 - 1/3 = 2/3

Number of pink roses = 2/3 x 24 = 16

Answer:

6xy+2x+4y

Step-by-step explanation:

Answer:The 99% confidence interval is

To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:

CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)

Where:

Mean is the sample mean of SBP

Z is the Z-score corresponding to the desired confidence level

Standard Deviation is the population standard deviation

Explanation:

Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.

First, we calculate the sample mean:

Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13

= 1724 / 13

≈ 132.62

Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.

Now, we can calculate the confidence interval:

Confidence Interval = 132.62 ± 2.576 * (10 / √13)

132.62 ± 2.576 * (10 / 3.6056)

≈ 132.62 ± 2.576 * 2.771

≈ 132.62 ± 7.147

Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).

Answer:

hdwhdbehqj

Step-by-step explanation:

223499

3344rbjee

Answer:

250

Step-by-step explanation:

Answer:

D is the answer

brainlilest me

By using given function, For 2 hours Jose will earn $50 for tutoring.

"Function, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)."

Given function

E (h) = 25h

For each hour Jose earns $25 for tutoring

E (1) = $25

For 2 hours Jose will earn:

E(2) = 25(2)

⇒ E(2) = $50

Hence, By using given function, for 2 hours Jose will earn $50 for tutoring.

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Answer:

C

Step-by-step explanation:

The points wont be absolute on the line since they are decimals so you could gather 2 points like (27,162) and (32,141) and calculate for y which is y2-y1/x2-x1 but it would not give you the right answer so you would need to use linear regression using 3 values. First Calculate the sum of the x-values, then the y -values. Now sum the products of each data point and then, calculate the sum of the x-values squared and the y-values squared. Finally, count the number of data points you have. In this case we have three data points (N=3), then use the Number of points you have times the x and y sums you got from squaring and adding to get the slope.

Here is the article https://sciencing.com/equation-scatter-plot-8457448.html

The population includes the sample. Therefore, only some of the variables—not all—are used when we calculate central tendency or spread values.

What does the standard deviation of the sample mean?

According to question

    The sample may not be a good representation of the population due to various biases that could have been introduced during sample calculation, such as self-selection and non-response.

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Answer:

n=2

Step-by-step explanation:

16+6n=7(6-n)

16+6n=42-7n

-16 +7n -16 +7n

13n=26

13n/13=26/13

n=2

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

7000

Step-by-step explanation:

Answer:

ima need a link and ill answer it

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

55% of x = 11

\(\frac{55}{100}*x = 11\\\\x = 11 *\frac{100}{55}\\\\x = 20\)

Answer:  C(x) = 3x + 3

Step-by-step explanation:

C(x) = mx + b

Given: when x = 3 hours, C(x) = $21 total charge, b = $3 skate rental

    21 = 3m + 3

    18 = 3m

     6 = m

Answer for any given x is: C(x) = 3x + 3

lets remember what it means compound continuously,

the interest never stopped, the balance is earning interest at all time

Joseph is 22 and he wants to know how much money he will have at 55

55-22=33

his balance will gain interest for 33 years, this is our time

there is a 7% rate

the formula is

P(t)= P(0) e ^rt

our t is 33

rate=7%

Joseph will have a balance at age 55, 45,334.99 dollars

Answer:

The remainder is 10

Step-by-step explanation:

The find the remainder when f(x) divided by g(x), find the value of x when g(x) = 0, then substitute it in f to find the value of the remainder

∵ f(x) = 3\(x^{5}\) + 2\(x^{4}\) + 5

∵ f(x) is divided by x - 1

∴ g(x) = x - 1

→ Equate g(x) by 0 to find x

∵ g(x) = 0

∴ x - 1 = 0

→ Add 1 to both sides

∵ x - 1 + 1 = 0 + 1

∴ x = 1

→ Substitute x in f by 1

∵ f(1) = 3\((1)^{5}\) + 2\((1)^{4}\) + 5

∴ f(1) = 3(1) + 2(1) + 5

∴ f(1) = 3 + 2 + 5

∴ f(1) = 10

∵ The remainder is the value of f(1)

∴ The remainder is 10  

The probability that a person arriving to use the machine will find it idle is 1/3 or 0.3333. Option a is correct.

Use the concept of an M/M/1 queue to calculate the probability, which models a single-server queue with exponential interarrival times and exponential service times.

In this case, the interarrival time follows an exponential distribution with a rate parameter of λ = 5 persons per hour (or 1/12 persons per minute). The service time (copying time) also follows an exponential distribution with a rate parameter of μ = 1/8 persons per minute (since each person uses the machine for an average of 8 minutes).

In an M/M/1 queue, the probability that the system is idle (no person is being served) can be calculated as:

P_idle = ρ⁰ × (1 - ρ), where ρ is the traffic intensity, defined as the ratio of the arrival rate to the service rate. In this case, ρ = λ/μ.

Plugging in the values, we have:

ρ = (1/12) / (1/8) = 2/3

P_idle = (2/3)⁰ × (1 - 2/3) = 1/3

Therefore, the probability is 1/3 or approximately 0.3333.

Thus, option (A) is the correct answer.

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A right triangle is a triangle which has one of it's angles equal to 90 degrees. The sum of all the internal angles for a triangle have to be equal to 180 degrees. The smalles ange will be called "x", therefore the sum of the internal angles of this triangle are:

The smallest is 28 degrees. The second one is:

The second is equal to 62 degrees and the third is equal to 90 degrees.

Answer:

  x -5y = -15 . . . (infinite solutions)

Step-by-step explanation:

The two equations of your system of equations describe the same line, so every point is a point of intersection. There are an infinite number of solutions. Any (x, y) pair that satisfies the first equation will also satisfy the second equation.

To see this, multiply the second equation by 5:

  5(-1/5x +y) = 5(3)

  -x +5y = 15 . . . . . . identical to the first equation.

We choose to express this relation in standard form, which has the leading coefficient positive. Multiplying by -1 gives ...

  -1(-x +5y) = -1(15)

  x -5y = -15 . . . . . describes the solution set of this system

The {x} coordinate of the solution to the following system of equations is - 1.

Given is the system of equations as -

x − y = − 3

x + 3y = 5

We can write -

x - y = - 3

y = x + 3

So, we can write -

x + 3(x + 3) = 5

x + 3x + 9 = 5

4x = - 4

x = - 1

Therefore, the {x} coordinate of the solution to the following system of equations is - 1.

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The sequence 18 , 6 , -6 , -18 is Arithmetic sequence.

An arithmetic progression is a sequence where the differences between every two consecutive terms are the same.

In general an arithmetic sequence can be written like: {a, a+d, a+2d, a+3d, ... }.For the first term 'a' of an AP and common difference 'd'

Common difference of an AP: d = a₂ - a₁ = a₃ - a₂ = a₄ - a₃= ... = aₙ - aₙ₋₁

Given in the question,

The sequence 18 , 6 , -6 , -18

a₁ = 18 , a₂ = 6 , a₃ = -6 and a₄ = -18

Common difference : d =  a₂ - a₁

=> d = 6 - 18

=> -12

For a₃ - a₂

=> -6 - 6 = 12

Therefore , the common difference is same i.e. 12

Hence, the sequence is Arithmetic sequence

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This is an example of a sample survey or a sampling method.

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

In the given scenario, you are conducting a sample survey to determine the proportion of each color of Peanut Butter M&Ms. A sample survey is a method used to collect data from a subset of a larger population in order to make inferences about the entire population.

Instead of counting every single Peanut Butter M&M in existence, which would be impractical and time-consuming, you decide to take a smaller representative sample. You purchase 10 packages of Peanut Butter M&Ms, each weighing 1.69 ounces, and count the number of M&Ms of each color in those packages.

By analyzing the data collected from this sample, you can estimate the proportion of each color of Peanut Butter M&Ms in the larger population. This approach is more feasible and provides a reasonable approximation of the overall distribution of colors without having to examine every individual item.

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The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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