Put -2, 33, -33, -100, -101, -99, 0, -1, 1, 100, 99 and 25 in order from greatest to least.

Answer:

New cut off salary = 30,592

Step-by-step explanation:

Given:

Normal distributed mean = $37,000

Standard deviation = $5000

Cut off salary = 10%

Find:

New cut off salary

Computation:

Z - left tale value of 10% is -1.2816

Corresponding x-value using x = zs + u

New cut off salary = (-1.2816)(5,000) + 37,000

New cut off salary = -6,408 + 37,000

New cut off salary = 30,592

Answer:

p = 2 + l w

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

We want to find the distance between (0,6) and (-3,-1)

We can find the distance between any two points using the distance formula

Distance between two points =

\( \sqrt{(x2 - x1)^{2} +(y2 - y1) {}^{2} } \)

Where the values of x and y are derived from the the two points. (x1,y1) and (x2,y2)

Here the two points are (0,6) and (-3,-1)

So we have (x1,y1) = (0,6) so x1 = 0 and y1 = 6

And we have (x2,y2) = (-3,1) so x2 = -3 and y2 = -1

Now we plug in the values of x and y into the formula and evaluate to get the distance.

Again recall distance = √(x2-x1)²+(y2-y1)²

==> plug in x2 = -3 , x1 = 0, y2 = -1 and y1 = 6

Distance = √(-3-0)²+(-1-6)

==> evaluate operations inside of parenthesis

Distance = √(-3)²+(-7)²

==> evaluate all exponents

Distance = √9+49

==> and 9 and 49

Distance = √58 = 7.6 (rounded)

Because the temperature is greater, the relative humidity of the atmosphere is higher.

Water vapor is also measured by relative humidity (RH), which is stated as a percentage but RELATIVE to the air's temperature. In plenty of other terms, it is a comparison between the quantity of water vapor that is really present in the air and the maximum amount water vapor that is possible for the air at the current temperature.

By deducting the temperature just on wet-bulb thermometer from of the temperature just on dry-bulb thermometers and utilizing a relative humidity chart, one may determine the relative humidity.

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Julius is correct that it will take less time for them to mow the lawn when working together.

Both Julius and Marcos have different predictions on how long it will take them to mow the lawn when working together. Marcos believes it will take them 5 hours, while Julius thinks it will take less time. Without any calculations, we can determine who is correct based on the concept of work rates.

When working alone, Julius takes 4 hours to mow the lawn. This means his work rate is 1 lawn per 4 hours. Similarly, Marcos takes 6 hours to mow the lawn alone, so his work rate is 1 lawn per 6 hours.

When working together, their work rates are combined. To find the total work rate, we add their individual work rates: 1/4 + 1/6 = 5/12.

This means that together, Julius and Marcos can mow 5/12 of the lawn in one hour. To mow the entire lawn, they need to complete 1 whole unit of work.

Since their combined work rate is 5/12, it will take them less than 5 hours to finish mowing the lawn. Therefore, Julius is correct in saying that it will take them less time than what Marcos predicted.

In conclusion, Julius is correct that it will take less time for them to mow the lawn when working together.

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Answer:

c

Step-by-step explanation:

because the i just worked it out

The first option "S is linearly independent in R³" is true about S.

To determine if the set S={(4,1,0);(1,0,−2);(0,1,−5)} is linearly independent in R³, we need to check if the only solution to the equation a(4,1,0) + b(1,0,−2) + c(0,1,−5) = (0,0,0) is a = b = c = 0.

Assume that there exist scalars a, b, and c, not all equal to zero, such that a(4,1,0) + b(1,0,−2) + c(0,1,−5) = (0,0,0). This leads to the following system of equations:

4a + b = 0

a + c = 0

-2b - 5c = 0

Solving this system of equations, we find that a = b = c = 0. Therefore, the only solution to the equation is the trivial solution.

Hence, the set S is linearly independent in R³ because the vectors in S cannot be linearly combined to form the zero vector unless all the coefficients are zero.

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Answer:

4 out of 256

Step-by-step explanation:

trust me. Also I’m trying to level up my Brainly so when someone else answers the question can you try to mark me brainliest.

Answer:

   -2/3

Step-by-step explanation:

We have two points on the line

(0,4) and (6,0)

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (4-0)/ (0-6)

   = 4/-6

   -2/3

Answer:

They are known as "Adjacent Angles"

Step-by-step explanation:

They are two angles  that have a common vertex and a common side but do not overlap.

Answer: 2y+18

Step-by-step explanation:

(y+9)2

=2*y + 2*9

=2y + 18

Answer:

2y + 18 is the answer your looking for.

Answer:

\(\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0\)

Or:

\(pm = qn \text{ and } pn + qm \neq 0\)

Step-by-step explanation:

We are given two complex numbers:

\(\displaystyle m + ni \text{ and } p + qi\)

Where m, n, p, and q are real numbers.

And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.

Find the product:

\(\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}\)

Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:

\(\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0\)

In conclusion, the relationship between m, n, p, and q is:

\(\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0\)

Or:

\(pm = qn \text{ and } pn + qm \neq 0\)

(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)

Answer:

24+56 is equivalent to 80.

Y is 27.8

Just trust me please :)

Answer:

h = V/lw

Step-by-step explanation:

We know the formula for the volume of a rectangular prism is V = lwh. We need to use this equation and solve for h by dividing lw on both sides.

V = lwh

V/lw = h

Answer:

29 cm

Step-by-step explanation:

We Know

Pinocchio’s nose is 9cm long.

His nose grows by 6cm if he lies.

His nose shortens by 2cm if he tells the truth.

He lies 4 times and truth 2 times.

We Take

9 + (6 x 4) - (2 x 2) = 29 cm

So, Pinocchio's nose now is 29 cm.

Answer:

29 cm

Step-by-step explanation:

(6x4) + 9

(6x4) = 24 cm

24 + 9 = 33 cm

(2x2) - 33

(2x2) = 4 cm

4 - 33 = 29 cm

I hope this helps!

Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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The temperature at 2 PM will be  x +16°F

Temperature is a phrase used to describe the degree of heat or cold on any scale, including Fahrenheit and Celsius. A thermometer is used to determine temperature. It is calibrated using different temperature scales that historically defined themselves using different reference points and thermometric substances.

The most popular scales are the Celsius scale, also known as "centigrade," with the unit °C, the Fahrenheit scale, with the unit °F, and the Kelvin scale, with the unit K. The latter is primarily used for scientific research and is the primary temperature scale specified by the International System of Units (SI).

Let temperature at 6 AM be x°F

Time difference between 2 PM and 6 AM:

Δt = 14 -6

 = 8 hour

increase in temperature after every 1 hour = 2°F

increase in temperature in 8 hour will be:

ΔT = 2 * Δt = 2*8 = 16°F

Temperature at 2 PM will be = x + ΔT

                                                = x +16°F

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Answer:

\(\displaystyle \frac{dy}{dx}\Big|_{(1, 1)}=0\)

Step-by-step explanation:

We are given the equation:

\((x^2+y^2)^2=4x^2y\)

And we want to find the slope of the tangent line at the point (1,1).

Recall that the slope of the tangent line to a point of a function is given by the function's derivative.  

Thus, find the derivative of the equation. Take the derivative of both sides with respect to x:

\(\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=\frac{d}{dx}\left[4x^2y\right]\)

Let's do each side individually.

Left:

We can use the chain rule:

\((u(v(x))'=u'(v(x))\cdot v'(x)\)

Let v(x) be x² + y² and u(x) is x². Thus, u'(x) is 2x. Therefore:

\(\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=2\left(x^2+y^2\right)\left(\frac{d}{dx}\left[x^2+y^2\right]\right)\)

Differentiate:

\(\displaystyle \frac{d}{dx}[(x^2+y^2)^2]=2(x^2+y^2)\left(2x+2y\frac{dy}{dx}\right)\)

Factor. Therefore, our left side is:

\(\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)\)

Right:

We have:

\(\displaystyle \frac{d}{dx}\left[4x^2y\right]\)

We can move the constant multiple outside:

\(\displaystyle =4\frac{d}{dx}\left[x^2y\right]\)

We will use the Product Rule:

\(\displaystyle =4\left(\frac{d}{dx}\left[x^2\right]y+x^2\frac{d}{dx}\left[y\right]\right)\)

Differentiate:

\(\displaystyle =4\left(2xy+x^2\frac{dy}{dx}\right)\)

Therefore, our entire equation is:

\(\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)=4\left(2xy+x^2\frac{dy}{dx}\right)\)

To find the derivative at (1,1), substitute and evaluate dy/dx when x = 1 and y = 1. Hence:

\(\displaystyle 4((1)^2+(1)^2)\left((1)+(1)\frac{dy}{dx}\right)=4\left(2(1)(1)+(1)^2\frac{dy}{dx}\right)\)

Evaluate:

\(\displaystyle 4((1)+(1))\left(1+\frac{dy}{dx}\right)=4\left(2+\frac{dy}{dx}\right)\)

Further simplify:

\(\displaystyle 8\left(1+\frac{dy}{dx}\right)=8+4\frac{dy}{dx}\)

Distribute:

\(\displaystyle 8+8\frac{dy}{dx}=8+4\frac{dy}{dx}\)

Solve for dy/dx:

\(\displaystyle 4\frac{dy}{dx}=0\Rightarrow \frac{dy}{dx}=0\)

Therefore, the slope of the tangent line at the point (1, 1) is 0.

Answer:

the line segment is a part of an infinite line.

Answer:

Ebuka is correct.  Ivy is thinking about a line, not a line segment.  And ethan is the one saying that a line segment is about more than a length.

Answer:

Average rate of temperature increase is 2 degrees per hour

Step-by-step explanation:

Here, we want to calculate the average rate of increase in temperature

From what we have above, we can calculate this by dividing the total temperature rise by the number of hours

The total temperature rise is 6 + 4 = 10 degrees

This means that the temperature rose by 10 degrees between 10 am and 3 pm

The number of hours between 10 am and 3 pm is 5 hours

So the average rate of temperature increase is 10 degrees/ 5 hours = 2 degree per hour

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

The Crude Birth Rate is estimated to be approximately 26.29/1000.

The Crude Birth Rate is calculated by dividing the total number of live births by the total population, and then multiplying by 1,000.

In this case, the total number of live births is given as 1,437,154. To calculate the Crude Birth Rate, we divide 1,437,154 by the total population, which is the sum of the total number of males and females, resulting in 27,437,246 + 27,231,086 = 54,668,332.

Multiplying this ratio by 1,000 gives us the Crude Birth Rate per 1,000 population.

So, the Crude Birth Rate can be calculated as:

(1,437,154 / 54,668,332) * 1,000 ≈ 26.29/1000

Therefore, the Crude Birth Rate is approximately 26.29 births per 1,000 population.

In summary, based on the given information, the Crude Birth Rate is estimated to be approximately 26.29/1000.

This rate represents the number of live births per 1,000 individuals in the population.

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I attached a picture showing a graph of y<6 and y>=x-6. As you can see, the point (10,5) is in y<6 and y>=x-6.

You can also tell this because y<6 highlights everything with the y value of less than 6. 5 is less than 6, so instantly you can realize that (10,5) is a solution to the system.

(a) The probability that two radios are being defective= 0.035

(b) The probability that all radios are not defective = (11/12)^4

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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Answer:

$72.5

Step-by-step explanation:

4 hours of babysitting = $29.00

Therefore $29.00 divided by 4 is 1 Hour of babysitting which is $7.25

To find 10 hours we multiply $7.25 by 10 = $72.5

So Erin would make $72.5 babysitting for 10 Hours.

Answer:

No

Step-by-step explanation:

-4^2 is -4 * 4 = -16

(-4)^2 = (-4) * (-4) = 16

The statement "The interaction prepares Louisa for the disappointment that Niles will likely not publish her book" best describes the purpose of the clerk's interaction with Louisa in scene 2.

With elegance and wit characteristic of author Jane Austen's writing style, "Pride and Prejudice" transports readers into England's early 19th century society where main character Elizabeth Bennet endeavors to find love within societal conventions that demand she secure a marriage partner.

Similarly positioned is her friend Louisa who pursues potential suitors while also seeking publication for her own written works. However, when seeking aid from a publishing house, Louisa encounters an unencouraging clerk who highlights the challenges of publication within the industry.

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