−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?

Note: Each horizontal or vertical division represents one unit.

Therefore, 65% of all nurses have a starting salary, z = invNorm(0.35) ≈ -0.3853 and z = (41861.5 - 67694) / 10333 ≈ -2.49.

b) We need to find P(X ≥ 78371.8). To do this, we can standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Then we can look up the probability in a standard normal distribution table or use a calculator.

\(z = (78371.8 - 67694) / 10333 \approx 1.04\)

Using a standard normal distribution table or calculator, we find that P(Z ≥ 1.04) ≈ 0.1492. Therefore, the probability that a randomly selected nurse has a starting salary of 78371.8 dollars or more is about 0.1492.

c) We need to find P(X ≤ 91407.1). Again, we can standardize the value and look up the probability in a standard normal distribution table or use a calculator.

\(z = (91407.1 - 67694) / 10333 \approx 2.30\)

Using a standard normal distribution table or calculator, we find that P(Z ≤ 2.30) ≈ 0.9893. Therefore, the probability that a randomly selected nurse has a starting salary of 91407.1 dollars or less is about 0.9893.

d) We need to find P(78371.8 ≤ X ≤ 91407.1). We can standardize the values and use a standard normal distribution table or calculator to find the probability.

z1 = (78371.8 - 67694) / 10333 ≈ 1.04

z2 = (91407.1 - 67694) / 10333 ≈ 2.30

Using a standard normal distribution table or calculator, we find that P(1.04 ≤ Z ≤ 2.30) ≈ 0.4657. Therefore, the probability that a randomly selected nurse has a starting salary between 78371.8 and 91407.1 dollars is about 0.4657.

e) We need to find P(X ≤ 41861.5). Again, we can standardize the value and use a standard normal distribution table or calculator.

z = (41861.5 - 67694) / 10333 ≈ -2.49

Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.49) ≈ 0.0062. Therefore, the probability that a randomly selected nurse has a starting salary that is at most 41861.5 dollars is about 0.0062.

f) Yes, a starting salary of 41861.5 dollars is unusually low for a randomly selected nurse. This is because the probability of getting a starting salary at or below this value is very small, as we calculated in part (e).

g) We want to find the value x such that 65% of all nurses have a starting salary greater than x. This means we need to find the 35th percentile of the distribution, which we can do using a standard normal distribution table or calculator.

z = invNorm(0.35) ≈ -0.3853

Using the formula z = (x - μ) / σ, we can solve for x:

-0.3853 = (x - 67694) / 10333

x - 67694 = -0.3853 * 10333

x ≈ 63757.72

To know more about distribution visit:

https://brainly.com/question/31197941

#SPJ1

Answer:

Multiply total meters by 100 to get total centimeters:

6 meters x 100 = 600 centimeters.

Step-by-step explanation:

Now divide total centimeters by 2.554 to get total inches:

600 centimeters / 2.54 = 236.22 inches.

Rounded to the nearest inch = 236 inches.

Answer:

669.291

so the answer is 669.291 because you divide the value by 39.37

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

Answer:

D) The product of two rational numbers is rational.

Function: The function itself represents the relationship between the input and output variables. It gives the values of the dependent variable (usually denoted as y) for different values of the independent variable (usually denoted as x).

First derivative: The first derivative of a function measures the rate of change of the function at a given point. It tells us where the function is increasing or decreasing, as it indicates the slope of the function at each point. A positive first derivative indicates an increasing function, while a negative first derivative indicates a decreasing function.

Second derivative: The second derivative of a function measures the rate of change of the first derivative. It tells us where the function is concave up or concave down, as it indicates the curvature of the function at each point. A positive second derivative indicates a concave up function, while a negative second derivative indicates a concave down function. The second derivative also provides information about the inflection points of the function.

In summary, the function itself represents the relationship between variables, the first derivative tells us about the function's increasing or decreasing behavior, and the second derivative tells us about the function's concavity or curvature.

To learn more about second derivative  : brainly.com/question/29005833

#SPJ11

Answer:

X is the opposite of X

Step-by-step explanation:

The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

According to the statement

We have given that the brenton gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour.

and we have to find that the those set which describes the domain of p(h).

So,for this purpose

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}.

So, The set {h| 0 ≤ h ≤ 60} describe the domain of p(h).

Learn more about Domain here https://brainly.com/question/1770447

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800

#SPJ4

Answer:

B.{h|0<h<60}

Step-by-step explanation:

Answer:

60 boys are in the grade.

Step-by-step explanation: Since there are 150 students, we can divide that number by the combined ratio, which in this case is 5. Dividing 150 by 5 would yield 30 students. We can use this information to multiply the given number of boys in the ratio by 30, which would produce 60.

Step-by-step explanation:

x = 145°

we don't even need the upper parallel line with the 35° angle.

it is simply based on the fact that the angles on both sides of 2 intersecting lines have to be the same (just left-right mirrored).

Answer:

x > 3

Step-by-step explanation:

Answer:

(4,2)

Step-by-step explanation:

System of Equations

Solve the following system of equations:

11x + 22y = 88

x = 10 - 3y     [2]

By the substitution method.

We can divide the first equation by 11:

x + 2y = 8    [1]

Substitute x from [2] into [1]:

10 - 3y + 2y = 8

Simplifying:

10 - y = 8

Subtracting 10:

-y = -2

Multiplying by -1:

y = 2

From [2]:

x = 10 - 3y

x = 10 - 3*2 = 4

Solution: (4,2)

Based on the data for a British Ford escort, the way fuel consumption of a car change as its speed increases represents a relationship that is curved with higher at extremes when scatter plot is constructed. It shows fuel efficiency is high at moderate speeds.

A scatter plot is a type of mathematical diagram using Cartesian coordinates to demonstrate values for typically two variables for a set of data. In the given case, the scatter plot shows a relationship between the speeds of a car and fuel consumption. The curved relationship which is high on extreme and low in the middle. As the car speed increases from 10km/h to 60 km/h, the fuel consumption decreases. As the car speed increases from 60km/h to 150khm/h, the fuel consumption increases. Hence, the fuel consumption is lowest at 60km/h and its generally low for moderate speeds – 40 km/hr to 100 km/h. It can be deduced that fuel efficiency (which pertains to how well a vehicle uses fuel) is high for moderate speeds. Hence, at moderate speeds best performance is achieved.

Learn more about Scatter plot:

https://brainly.com/question/6592115

#SPJ4

θ is in Quadrant I and tanθ = 5/12, the value of tan(4θ/5) to the nearest hundredth is approximately 18.10. The correct option is A.

To find the value of tan(4θ/5), we need to use trigonometric identities and the given information that θ is in Quadrant I and tanθ = 5/12.

Let's start by finding the value of θ. Since tanθ = 5/12, we can determine the corresponding angle using the inverse tangent function:

θ = tan⁻¹(5/12)

Using a calculator, we find that θ ≈ 22.62 degrees.

Next, we need to find 4θ/5. Plugging in the value of θ, we have:

4θ/5 = (4 * 22.62) / 5

4θ/5 ≈ 90.48 degrees

Now, we want to find tan(4θ/5). Since tan is a periodic function with a period of 180 degrees, we can subtract 180 from the angle if it is greater than 180 degrees. In this case, 90.48 degrees is less than 180 degrees, so we can proceed with finding tan(4θ/5) directly.

Using a calculator or trigonometric table, we find that tan(90.48 degrees) ≈ 18.10.

Therefore, the value of tan(4θ/5) to the nearest hundredth is approximately 18.10.

The correct answer is (A) 18.10.

To know more about trigonometric identities, refer to the link below:

https://brainly.com/question/31837053#

#SPJ11

Answer:

The answer is 1,2,3

Step-by-step explanation:

Answer:

plant b doesn't grow

Step-by-step explanation:

Plant be doesn't grow becuase it gets no sun

Answer:

its actually 4.5

Step-by-step explanation:

it told me i was wrong and told me it was 4.5

Answer:

1. )0.35

2. )1.15

3.)0.5 (5 repeating's)

4.)2.72

Step-by-step explanation:

7 divide  20=0.35

-23 divide 20=1.15

-60 divide 22 = 2.727272 but it is 2.72

Answer:

c is the and

no worries thank you to each of the Fourth of that mother you have any other questions please contact me

Answer:

m = ‐ 30

Step-by-step explanation:

it is because I say it is

The average mean of all 40% of all adults in increase p-hats will be approximately 0.4.

If 40% of all adults in Ohio support the increase, this means that the population proportion is p = 0.4. We can use this value to calculate the mean of the sampling distribution of p-hat, which is given by the formula:

mean of p-hat = p

That is, the mean of the sampling distribution of p-hat is equal to the population proportion. In this case, the mean of the sampling distribution of p-hat is:

mean of p-hat = p = 0.4

So, if we take all possible samples of the same size from the population and calculate the proportion of adults who support the increase in each sample, the average mean of all those proportions (p-hats) will be approximately 0.4.

To know more about average mean:

https://brainly.com/question/20941018

#SPJ4

Hey there!

We have

8×8×8×8

Let's write it using an exponent.

8=8¹

8×8=8²

8×8×8=8³

8×8×8×8=8⁴

So we multiplied 8 times itself 4 times (that's why the exponent is 4)

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.

To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.

This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.

Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.

Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.

To learn more about arithmetic operations,

Visit; brainly.com/question/16679150

#SPJ4

Answer:

Step-by-step explanation:

Because a square has 4 equal sides:

P = 4x

A = \(x^{2}\)

\(P=\frac{4x^2+4}{x^2-2x+1}\)                              (original P equation)

\(4x=\frac{4x^2+4}{x^2-2x+1}\)                             (substitute P = 4x)

\(4x(x^2-2x+1)={4x^2+4}\)         (multiply denominator on both sides)

\(4x^3-8x^2+4x={4x^2+4}\)          (distribute 4x)

\(4x^3-12x^2+4x-4=0\)            (combine like terms, set = to 0)

\(4(x^3-3x^2+x-1)=0\)             (factor)

Continue using quadratic formula to find x

Hope this helps! Cannot finish answer right now, so sorry

side=Perimeter/4

side:-

\(\\ \rm\Rrightarrow \dfrac{4(x^2+1)}{4(x^2-2x+19}\)

\(\\ \rm\Rrightarrow \dfrac{x^2+1}{x^2-2x+19)}✓/tex]

Area=side ²

\(\\ \rm\Rrightarrow \left(\dfrac{x^2+1}{x^2-2x+19}\right)^2\)

Answer:

(-3,2)

Step-by-step explanation:

It was correct on mine

The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).

Now,

The coordinate of A' after dilation of k = 1/3 is,

⇒ (1/3 × - 3, 1/3 × 2)

⇒ (- 1, 2/3)

⇒ (- 1, 0.67)

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ2

Answer:

Yes

Step-by-step explanation:

The ratio for Danny would be 3 / 6 which simplifies to 1 / 2

For Jeff the ratio would be 2 / 4 which simplifies to 1 / 2 as well

Answer:

no real roots

Step-by-step explanation:

0 has one square root which is 0. Negative numbers have no square roots since a square is either positive or 0.

Answer:

\(5(x + 3) = 2x + 3\)

\(c)5x + 15 = 2x + 3\)

is the answer of your question

The circle and measuring its perimeter in the same way a straight line, the circumference is calculated as 14π cm.

Circumference is the length of the circumference.

The circumference of a circle can be calculated using units of length, such as centimeters, meters, and kilometers, by opening the circle and measuring its perimeter in the same way a straight line is measured.

The perimeter of a circle or ellipse is its perimeter.

In other words, the circumference of a circle expanded and straightened to a line segment is the length of the arc. The perimeter is more broadly the length of the curve of the closed shape.

A circle of radius r encloses a region named πr².

The Greek letter represents a fixed ratio of the circumference to the diameter of a circle, equivalent to approximately 3.14159.

Assuming radius = 7 cm

C = 2πr

= 2π7

= 14π cm

For more information about circumference:

https://brainly.com/question/28757341

#SPJ8

La tableta de chocolate de Demetrio puede representarse como la unidad entera. Si Demetrio dejó 1/4 de la tableta para sí mismo, entonces se puede decir que se comió 3/4 de la tableta.

A continuación, si le dio 1/3 de la tableta a su hermano, entonces queda:

3/4 x 1/3 = 1/4

Por lo tanto, Demetrio le dio 1/4 de la tableta a su hermano.

Teniendo en cuenta que le quedaba 1/4 de la tableta, se puede deducir que eso es lo que le dio a su profesor.

En resumen, Demetrio se comió 3/4 de la tableta, le dio 1/4 de la tableta a su hermano y el otro 1/4 de la tableta se lo dio a su profesor.

Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A

The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.

To find the percentage error, we need to divide the difference between the measured value and the actual value by the actual value and multiply by 100%. In this case, the difference between the measured value and the actual value is 10 - 9.5 = 0.5. The actual value is 9.5. So the percentage error is (0.5 / 9.5) * 100% = 5.26%.

The percentage error tells us how much the measured value differs from the actual value as a percentage. In this case, the measured value (10 square feet) is 5.26% larger than the actual value (9.5 square feet).

To learn more about the percentage error, visit:

brainly.com/question/17207115

#SPJ4

Remo's percentage error is 5.26%

In this question we have been given Remo calculated the area as 10 square feet.

And the actual area is 9.5 square feet.

We need to find Remo's percentage error

We know that the formula for the percentage error.

E = (V_o - V_a)/V_a × 100

where V_a is the actual value

V_o is the observed value

E is the percentage error

From given data: calculate area A_o = 10 square feet

actual area A_a = 9.5 square feet

So,  Remo's percentage error would be.

E = (A_o - A_a)/A_a × 100

E = [(10 - 9.5)/9.5] × 100

E = 5.26%

Therefore, the percentage error is 5.26%

Learn more about the error here:

https://brainly.com/question/28969535

#SPJ4