Use a graphing calculator to solve the equation. Round your answer to two decimal places. ex=x²-1 (2.54) O (-1.15) O (-0.71) (0)

a computer programmer in canada who makes $2,063.30 has a z-score of 0.50 relative to other computer programmers in canada and that the standard deviation of the salary of computer programmers in canada is $458.60. the average salary, then, for computer programmers in canada is $1,834.00.

To find the average salary for computer programmers in Canada, we can use the formula for calculating the z-score:

z = (X - μ) / σ

Where: z = z-score X = individual salary μ = population mean (average salary) σ = standard deviation

Given that the z-score is 0.50 and the individual salary is $2,063.30, and the standard deviation is $458.60, we can rearrange the formula to solve for the average salary:

0.50 = ($2,063.30 - μ) / $458.60

Multiply both sides of the equation by $458.60:

0.50 * $458.60 = $2,063.30 - μ

$229.30 = $2,063.30 - μ

Rearrange the equation to isolate the average salary:

μ = $2,063.30 - $229.30

μ = $1,834.00

Therefore, the average salary for computer programmers in Canada is $1,834.00 using the standard deviation of the salary of computer programmers in canada.

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Answer:

4 3/4

Step-by-step explanation:

Just multiply 1 3/4 and 3 = 4 3/4

The result is 24 is a rational number.

The product of 2√6 and √24, we can simplify the square root expressions first.

First, let's simplify √6:

√6 can be further simplified as follows:

√6 = √(2 × 3)

= √2√3

Now, let's simplify √24:

√24 can be further simplified as follows:

√24 = √(4 × 6)

= √4√6

= 2√6

Now, we can find the product of 2√6 and √24:

2√6 × √24 = (2√6) × (2√6)

= 4√6 × √6

= 4(√6)²

= 4 × 6

= 24

The product of 2√6 and √24 is 24.

Let's determine whether the result is rational or irrational.

A rational number can be expressed as the ratio of two integers, whereas an irrational number cannot be expressed as such.

It can be expressed as the ratio 24/1, where both 24 and 1 are integers.

The result is rational.

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\(e^{-5 \lambda}\) is the probability that we have to wait for more than 5 min for the bus to arrive.

So, \(f_X(x)=\lambda e^{-\lambda x}, x \geq 0\) ⇒ \(P(x \geq 5)=\int_5^{\infty} f_X(x) d x\)

Now, solving the above function as follows:

\(\begin{aligned}&P(x \geq 5)=\int_5^{\infty} f_X(x) d x \\&=\int_5^{\infty} \lambda e^{-\lambda x} d x \\&=\left.\right|_5 ^{\infty} \frac{\lambda e^{-\lambda x}}{-\lambda} \\&=\left.\right|_5 ^{\infty}-e^{-\lambda x} \\&=e^{-5 \lambda}\end{aligned}\)

Therefore, the probability that we have to wait for more than 5 min for the bus to arrive is \(e^{-5 \lambda}\).

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The correct question is given below:
Suppose that the buses arrive are scheduled to arrive at a bus stop at noon are always X minutes late, where X is an exponential random variable with probability density function  \(f_X(x)=\lambda e^{-\lambda x}, x \geq 0\). Suppose you arrive at the bus stop precisely at noon. Find the probability that you have to wait for more than 5 min for the bus to arrive

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information.

To calculate the proportion of candy bars with fewer than 200 calories, we need to know the total number of candy bars and the number of candy bars that have fewer than 200 calories.

Without this information, we cannot determine the proportion. The number of candy bars with fewer than 200 calories could vary greatly depending on the specific dataset or context.

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information regarding the total number of candy bars and the number of candy bars that fall into that category.

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2.5(cos 5π/6  + i sin 5π/6) is the polar form  of the complex number

Complex numbers are numbers that are expressed in the form of a+ib, where a and b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1)

Given: the complex number (5√3)/4 - 5/4 i

In polar form:

(5√3)/4 - 5/4 i = r(cosθ + isinθ)

θ  = tan⁻¹( (-5/4) / (5√3 /4) )

θ = -30°

θ = -30+180 = 150°

θ = 5π/6

r = √( (5√3)/4)² +(- 5/4)²) = 2.5

Thus,

(5√3)/4 - 5/4 i = r(cosθ + isinθ)

r(cosθ + isinθ) = 2.5(cos 5π/6  + i sin 5π/6 )

Therefore, the polar form  of the complex number is 2.5(cos 5π/6  + i sin 5π/6)

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Answer:

1300

Step-by-step explanation:

130×10 thats the answer yoo

Answer:

Distance from bottom to side walk = 15.87 feet (Approx.)

Step-by-step explanation:

Given:

Height of ramp = 2 feet

Length of ramp = 16 feet

Find:

Distance from bottom to side walk

Computation:

Height of ramp (perpendicular) = 2 feet

Length of ramp (hypotenuse) = 16 feet

Distance from bottom to side walk (Base)

Base = √hypotenuse²- perpendicular²

Base = √16²- 2²

Base = √256 - 4

Base = √252

Base = 15.874

Distance from bottom to side walk = 15.87 feet (Approx.)

Answer:

-----------------

Put the data in an ascending order:

There are 7 numbers.

With odd number of data, the middle number is the median. Hence the median is 6.

The median of the given series of numbers is 6, after arranging them in ascending order.

The student wants to find the median of a series of numbers: 8 6 9 2 5 3 7. First, arrange these numbers in ascending order, this becomes: 2, 3, 5, 6, 7, 8, 9. The median is the middle number in an ordered set of numbers. In our case, since there are 7 numbers, the median is the fourth number, which here is 6. Therefore, the median of these numbers is 6.

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Step-by-step explanation:

1 < x + 3 < 6

1 - 3 < x < 6 - 3

-2 < x < 3

Answer:

in standard form - y+12x=78

in slope intercept form - y=-12x+78

Step-by-step explanation:

standard form

13=1/6y+2x

multiply both sides by 6

78=y+12x

y+12x=78

slope intercept

13=1/6y+2x

subtract 1/6y from both sides

13-1/6y=2x

subtract 13 from both sides

-1/6y=2x-13

change the signs on both sides of the equation

1/6y=-2x+13

divide both sides by 1/6

y=-12x+78

Answer:False.  

Step-by-step explanation:

Multiply both sides of the equation by a coefficient:begin equation begin cases5  5 x + 2 y = 7 * 52 13.

the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.

First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.

Next, we can use the formula for transforming a z-score to a raw score:

raw score = z-score * standard deviation + mean    

Substituting the values given in the problem, we get:

raw score = 1.48 * 6.1 + 76.4

raw score = 85.48

Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.

In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.

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The 18th term of the arithmetic sequence is 45.2, while the balance in an account with a $8,600 deposit and 12% annual interest after 5 years is $14,311.39. With a $6,284 deposit and 14% annual interest after 30 months, the account balance will be $7,463.17. Borrowing $1,709 at a 182% annual interest rate, the monthly payment for 16 months will be $202.06.

1. Arithmetic sequence: The formula to find the nth term of an arithmetic sequence is given by:

nth term = first term + (n - 1) * common difference

Here, the 4th term is given as 6 and the common difference is 2.9.   Plugging in these values, we can calculate the 18th term as follows:

18th term = 6 + (18 - 1) * 2.9 = 6 + 17 * 2.9 = 45.2

2. Compound interest: For the first scenario, where $8,600 is deposited into an account that pays 12% simple annual interest compounded monthly for 5 years, we can calculate the final balance using the formula for compound interest:

A = P * \((1 + r/n)^{(n*t) }\)

Here, P is the principal amount, r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values:

P = $8,600, r = 12% = 0.12, n = 12 (monthly compounding), t = 5

A = 8600 * \((1 + 0.12/12)^{(12*5)}\)= $14,311.39

3. Similarly, for the second scenario, where $6,284 is deposited into an account that pays 14% simple annual interest compounded monthly for 30 months:

P = $6,284, r = 14% = 0.14, n = 12 (monthly compounding), t = 30/12 = 2.5

A = 6284 * \((1 + 0.14/12)^{(12*2.5)}\) = $7,463.17

4. Monthly payment: To calculate the monthly payment amount for borrowing $1,709 from The Saver at a 182% simple annual interest rate, we can divide the total amount by the number of payments. The formula for calculating the monthly payment for a loan is:

Monthly payment = Total amount / Number of payments

Here, the total amount is $1,709 and the number of payments is 16. Plugging in the values:

Monthly payment = 1709 / 16 = $202.06

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At an employment level of 50 workers, the firm's marginal product of labor is 240 cars per additional worker it hires.

The marginal product of labor (MPL) represents the additional output produced by adding one more unit of labor (i.e., one more worker). It can be calculated by taking the first derivative of the production function with respect to labor (n), holding all other variables constant:

MPL = dP/dn = -10 + 5n - 0.002n^3

To find the MPL at an employment level of 50 workers, we plug in n = 50 into the equation:

MPL(50) = -10 + 5(50) - 0.002(50^3) = 240 cars/worker

Therefore, at an employment level of 50 workers, the firm's marginal product of labor is 240 cars per additional worker it hires.

Interpretation: This means that if the firm hires one more worker when it already has 50 workers, the daily production will increase by 240 cars on average. However, as the number of workers increases, the MPL decreases, indicating that each additional worker contributes less and less to the firm's daily production.

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Answer:

I think it's D1 ,

Step-by-step explanation:

2(1+1) = 4

2×1+2=4

Answer:23

Step-by-step explanation:

Answer:

z = 23

Step-by-step explanation:

The angles in a triangle add up to 180°.

So, 62° + 95° + z = 180°.

Subtract 62 and 95 on both sides.

62 + 95 + z - 62 - 95 = 180 - 62 - 95

z = 23

Hope this helps! Feel free to ask any questions.

we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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Answer:

right right

Step-by-step explanation:

Incomplete question. However, I provided some explanation about non-real complex numbers.

Explanation:

In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.

For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.

While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.

Answer: he payed for 9 months

Step-by-step explanation:

500-140= 360      and 360 divided by 40 is 9

Answer: Another factor is 3x + 5.

Step-by-step explanation:

please view the attachment for the steps.

The other factor of the polynomial (6x² + x - 15) would be (3x + 5). Hence option 2 is true.

Given that the polynomial is,

6x² + x - 15

And, The polynomial has a factor of 2x - 3.

Now apply the factorization method to solve for the  factor,

6x² + x - 15

6x² + (10 - 9)x - 15

6x² + 10x - 9x - 15

2x (3x + 5) - 3 (3x + 5)

(2x - 3) (3x + 5)

Since The polynomial has a factor of 2x - 3.

Hence, the other factor would be (3x + 5). So option 2 is true.

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The value of tan(t−π) is 4/9.

According to the statement

we have given that  tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π)  -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

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Answer:

49.92

Step-by-step explanation:

15.6 times 3.2

Answer:

$9.60 for 42 fl oz

Step-by-step explanation:

$6.15 x 2=$12.30

$12.30 for 44 fl oz

$12.30-$9.60=$2.70

you would be paying $2.70 for 4 fl oz when 4 fl oz is 93 cent

Answer:  42 fluid ounce unit of dish soap.

Step-by-step explanation: Why? Well, 24 times 2 gives you 48 fluid ounces for $12.30. But for just 4 less fluid ounces of soap, you pay $9.60. This is just over a dollar for every two ounces of soap.  So $12.30- $9.60= $2.70. this shows you`d need to buy two 24 ounce bottles. *So if you ONLY BUY ONE 24 OUNCE SOAP* you are getting a bad deal. In order to make a better deal buy two 24 ounce bottles to get four more ounces and pay $2.70 more. Hence you only ask about buying one, so 42 ounces is your go to choice.

Answer: Hayley is hosting a party. She has 50 pieces of candy she wants to give to her 10 friends. How many pieces should each friend get so everyone receives the same amount?

A mprobability line ranging from 0 to 1 is the following:

The line shows the probability from 0 to 1 where a probability of 0 indicates an impossible event and a probability of 1 indicates a certain event.

x' is the mean of all the x-values,  y' is the mean of all the y-values, and n is the number of pairs in the data set.

\(y=b_1x+b_0\)

There is always one straight line that fits the data more accurately than any other, in the sense of minimizing the total of the squared errors, given any set of integers in pairs (apart from the case when all the x-values are the same). The least squares regression line is what it is known as. Additionally, its slope and y-intercept have formulae.

Given a collection of pairs (x,y) of numbers, there is a line \(y=b_1x+b_0\) that best fits the data in the sense of the least squares regression line, its slope is b1 and the y-intercept is b0.

\(b_1=\frac{SS_{xy}}{SS{_xx}}}\\\\and\\\\b_0=y-b_1x\\\\SS_{xx}=\sumx^2-1/n[\sum x]^2\\\\SS_{xy}=\sum{xy}-1/n(\sum x)(\sum y)\)

x' is the mean of all the x-values,  y' is the mean of all the y-values, and n is the number of pairs in the data set.

\(y=b_1x+b_0\)

specifying the least squares regression line is called the least squares regression equation.

Example,

Find the least squares regression line for the five-point data set

x = 2  2  6  8  10  

y=  0  1   2  3  3.

compute the table,

x   y     x2         xy

2  0     4           0

2  1      4            2

6   2   36       12

8   3   64        24

10  3   100    30

28  9   208    68   (sum)

\(S_{xx}=208-(1/5)(28)^2=51.2\\\\SS_{xy}=68-(1/5)(28)(9)=17.6\\\\x'=\frac{28}{5}=5.6\\\\y'=1.8\\\\b_1=17.6/51.2=0.34375\\\\b_0=y-b_1(x)=1.8-(0.34375)(5.6)= -0.125\)

The regression line is y=0.34375x-0.125

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Bus 47 is more consistent because it has a larger IQR, which means that its travel times are more tightly clustered around the median travel time.

In mathematics and statistics, the range of a set of data refers to the difference between the largest and smallest values in that dataset. It is a measure of the spread or dispersion of the data.

To find the range of a dataset, you subtract the smallest value from the largest value. For example, if you have a dataset of test scores: 65, 72, 80, 85, 92, 98, the highest score is 98 and the lowest score is 65. Therefore, the range of the test scores is 98 - 65 = 33.

While range is a simple and easy-to-calculate measure of dispersion, it can be sensitive to outliers or extreme values in the dataset, which may not be representative of the overall data. Other measures of dispersion, such as variance or standard deviation, may be more appropriate in some cases.

The correct measure of variability to use in this case is the interquartile range (IQR).

For Bus 47, the IQR is the difference between the third quartile (Q3) and the first quartile (Q1), which can be read off the graph. The third quartile is 22 minutes and the first quartile is 14 minutes, so the IQR is 22 - 14 = 8 minutes.

For Bus 14, the IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The third quartile is 20 minutes and the first quartile is 14 minutes, so the IQR is 20 - 14 = 6 minutes.

Therefore, Bus 47 is more consistent because it has a larger IQR, which means that its travel times are more tightly clustered around the median travel time. The range, which is the difference between the maximum and minimum values, is not the best measure of consistency in this case because it does not take into account the distribution of the data.

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