Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of employees selected from financial companies in New York City showed that they received an average bonus of last year with a standard deviation of. Construct a confidence interval for the average bonus that all employees working for financial companies in New York City received last year.


Round your answers to cents.


$________ to _______ $

52 × 22

find the prime factorization of its terms. For example, when you have numbers like 100  you need to find its prime factors and you get 5 × 5 × 2 × these prime factors can be written in the exponential form as  52 × 22

To calculate the pressure required to compress the sample of helium gas, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.

According to Boyle's Law: P₁V₁ = P₂V₂ Where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume. Given: Initial volume (V₁) = 28.4 L Initial pressure (P₁) = 1.00 atm Final volume (V₂) = 3.47 L Let's substitute these values into the equation and solve for the final pressure (P₂):

\(P₁V₁ = P₂V₂\)

(1.00 atm)(28.4 L) = P₂(3.47 L)

28.4 atm·L = 3.47 P₂

Dividing both sides by 3.47 L:

P₂ = 28.4 atm·L / 3.47 L

P₂ ≈ 8.19 atm

Therefore, the pressure required to compress the sample of helium gas from 28.4 L (at 1.00 atm) to 3.47 L at constant temperature is approximately 8.19 atmospheres (atm).

learn more about pressure here :

https://brainly.com/question/30673967

#SPJ11

Answer: D. 6 cm

Step-by-step explanation:

V = 4/3πr^3

r = (3 V/4π)^1/3 = (3* 900/4*π)^1/3 = 5.98942

The thing to tell Irene to convince her that these cards don’t match is that the addition of the variables will not give 4x + 2.

An expression can be used to illustrate the relationship between the variables that are given in the data.

The addition of the variables will be illustrated thus:

x + 2 + x + 2 + x + 2 + x + 2 = 28

4x + 8 = 28

In the question, it was written as 4x + 2 = 28. This shows that it won't match.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

3k3

Step-by-step explanation:

Answer:

The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

know more about first law of thermodynamics states.

https://brainly.com/question/31275352

#SPJ11

Answer:

7 + 35i

Step-by-step explanation:

\(7i(5 - i) \\ \\ = 7i \times 5 - 7 {i}^{2} \\ \\ = 35i - 7( - 1) \\( \because \: {i}^{2} = - 1) \\ = 35i + 7 \\ \\ = 7 + 35i\)

Answer:

7+35i

Step-by-step explanation:

the answer above seems more correct so

Answer:

The equation of the perpendicular line (PR) to line PQ is; y = -0.5x - 1.5

Step-by-step explanation:

The line is perpendicular to line adjoined by points P(-3,0) and Q(0,6)

The slope of line PQ is;

Slope = change in y ÷ change in x = \(\frac{6 - 0}{0 -- 3}\) = 2

The product of slopes of two perpendicular lines = -1

Hence the slope of line PR = -1 ÷ slope of line PQ = -1/2

Taking another point (x,y) and point P(-3,0) the equation of line PR is;

Slope = \(\frac{y - 0}{x - -3} = -\frac{1}{2}\)

Cross-multiplying gives;

2y = -x - 3 , y = -x/2 - 3/2 , y = -0.5x - 1.5

Answer:

The answer is A.......

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

y = 3x - 7

y = 7 - x

следовательно,

3x - 7 = 7 - x

=> 2x = 14

=> x = 14/7

=> x = 2

The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.

Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.

For such more question on height:

brainly.com/question/73194

#SPJ4

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees

x-22 + 3x+19 + x-17 = 180

x+3x+x-22+19-17=180

5x - 20=180

5x=180+20

5x=200

5x/5=200/5

x=40

Angle A= x-22

Substitute x in the question

= 40 - 22

=18

Therefore angle A is 18 degrees

Answer:

7, you can just your calculator to test it out.

Answer:

Step-by-step explanation:

Where to start?

It isn't 2 and it isn't 3. You tell it's not 2 because it is an odd number.

It isn't 3 because the digits (26411 = 2 + 6 + 4 + 1 + 1) add up to 14 which is not divisible by 3, so the whole number is not divisible by 3.

It is not divisible by 5 because numbers divisible by 5 end either in 0 (which would make it even and divisible by 2) or 5. This one doesn't end in 5.

The very first number you can try is 7. That works. 3773 is the result.

The next prime to try is 11. I have a feeling that will work as well. Let's try it. It works as well. It's the symmetry of 3773 that made me look at eleven. There is a very complicated rule having to do with the odd and even places subtracted that tells you whether a number is divisible by 11 or not.

343 is the resulting number. I think that is 7^3  which is correct. So here's your answer

7 * 7 *7 * 7 * 11  is the answer. It's worthwhile to know how to do this. Factoring large numbers is one of the cornerstones of mathematics. Computers love this kind of thing.

Answer:

see explanation

Step-by-step explanation:

using the formula V = lwh , then

(a)

volume of first box = 3x × x × 2x = 6x³ units³

(b)

volume of second box = 4x × 2x  × x = 8x³ units³

(c)

volume of 2 boxes = 6x³ + 8x³ = 14x³

(d)

if x = 6 , then

volume of 2 boxes = 14x³ = 14(6)³ = 14 × 216 = 3024 units³

The The square root of R² (the coefficient of determination) is not r, the correlation coefficient. Therefore, it's false.

It should be noted that the correlation coefficient is used to measure how string the relationship between two variables are.

The correlation formula tells us the linear relationship between the variables. R² is the square of the correlation coefficient.

Learn more about correlation on:

brainly.com/question/4219149

#SPJ1

For a one-tailed dependent samples t-Test with 30 participants at the p < .05 level, we need to overcome a specific critical value of 1.697.

This value can be obtained from a t-table or calculated using statistical software. It is important to note that the critical value may vary depending on the specific alpha level chosen and the study's degrees of freedom (df). However, for a one-tailed dependent samples t-Test with 30 participants at the p < .05 level, the critical value of 1.697 is appropriate. This critical value represents the minimum t-value that must be obtained to reject the null hypothesis and conclude that there is a significant difference between the two dependent groups being compared.

Learn more about hypothesis here:

https://brainly.com/question/31319397

#SPJ11

Answer:

x=8

Step-by-step explanation:

I am assuming you need to find which x value fits this.

So set the two equations equal to each other

158=70+11x, subtract 70 from both sides

88=11x, now, divide by 11 to get x by itself,

8=x, to find these answers, use a calculator or any other method you want.

Answer:

False.

Step-by-step explanation:

The RMS (Root Mean Square) value of a sine wave represents the equivalent DC voltage that would produce the same amount of power in a resistive load. However, the heat produced in a resistor is directly proportional to the square of the current passing through it (according to Joule's Law). In the case of an AC waveform, the current continuously changes direction, resulting in a time-varying power dissipation. Therefore, comparing the RMS value of an AC waveform to a DC voltage is not directly applicable in terms of heat produced in a resistor.

Answer:

the answer should be c

Step-by-step explanation:

The answer is -13 and -15.

The given cross product formula is slightly incorrect. The correct cross product of two vectors in R3 is defined by (a1, a2, a3) × (b1, b2, b3) = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1). We are given vector v = (-1, 3, 0) and asked to find the matrix A of the linear transformation \(T(x) = v × x.\)
Let x = (x1, x2, x3) be a vector in R3. Then, using the cross product formula, we have:
T(x) =\(v × x = (-1, 3, 0) × (x1, x2, x3) = (3x3 - 0x2, 0x1 - (-1)x3, (-1)x2 - 3x1)\)
T(x) =\((3x3, x3, -x2 - 3x1)\)
Now, we can express the linear transformation as a matrix A multiplied by the vector x:
\(A * (x1, x2, x3) = (3x3, x3, -x2 - 3x1)\)
The matrix A can be found by comparing the components of the vectors:
A = | 0  -3   0 |
     | 0   0   1 |
     |-3  -1   3 |
So, the matrix A of the linear transformation from R3 to R3 given by T(x) = v × x is:
A = | 0  -3   0 |
     | 0   0   1 |
     |-3  -1   3 |

for such mor questions on linear transformation

https://brainly.com/question/29642164

#SPJ11

Assume that Peter will invest $x

Then he will invest 1/2 x with a rate of 6% and 1/2 x with a rate of 14%

Since the rule of the interest is

P is the amount of investment

R is the rate in decimal

T is the time

For the first account

For the second account

Then the interest of each account is

Since the total interest is $500, then add I1 and I2, equate the sum by 500

Divide each side by 0.10

Then he invested in each account 5000/2 = $2500

He invested a total of $5000

The work done pulling the bucket to the top of the well is 104,299.4 pound-force-feet (lb*ft).

To find the work done pulling the bucket to the top of the well, we need to consider the weight of the bucket, the weight of the water, and the work done against gravity.

First, let's calculate the weight of the bucket and water combined. The weight of the bucket is 4 pounds, and the weight of the water is 35 pounds. Therefore, the total weight is 4 + 35 = 39 pounds.

Next, let's calculate the distance the bucket is pulled up. The well is 83 feet deep, so the bucket is pulled up a distance of 83 feet.

Now, let's calculate the work done against gravity. Work is calculated by multiplying the force applied by the distance over which the force is applied. In this case, the force is equal to the weight of the bucket and water, which is 39 pounds. The distance is 83 feet.

Work = Force * Distance
Work = 39 pounds * 83 feet

To calculate the work, we need to convert the weight from pounds to a unit called pound-force (lbf). 1 pound force is equal to the force exerted by a mass of 1 pound under acceleration due to gravity.

To convert from pounds to pound-force, we need to multiply by the acceleration due to gravity. The acceleration due to gravity is approximately 32.2 feet per second squared.

39 pounds * 32.2 feet per second squared = 1255.8 pound-force

Finally, we can calculate the work done pulling the bucket to the top of the well.

Work = 1255.8 pound-force * 83 feet
Work = 104,299.4 pound-force-feet (or lb*ft)

Learn more about the work done:

https://brainly.com/question/28356414

#SPJ11

If the neighbors have any pets, cell C2 will display 30. Otherwise, if they have no pets, it will display 0.

To determine the if true argument (second argument) for an if statement in cell C2 that enters 30 if neighbors have pets and 0 if they do not, you can use the following formula:

=IF(SUM(B2:C2)>0, 30, 0)

SUM(B2:C2) calculates the sum of the values in cells B2 and C2. This will give the total number of pets the neighbors have.

The IF function checks if the sum of the pets is greater than 0.

If the sum is greater than 0, the statement evaluates to TRUE, and the value 30 is entered.

If the sum is not greater than 0 (i.e., equal to or less than 0), the statement evaluates to FALSE, and the value 0 is entered.

So, if the neighbors have any pets, cell C2 will display 30. Otherwise, if they have no pets, it will display 0.

Learn more about Excel click;

https://brainly.com/question/29787283

#SPJ4

Answer:

20%

Step-by-step explanation:

The percent of the compound that is made of uranium is calculated as:

(Number of ounces of uranium /Number of ounces of the compound)

× 100

Total amount of uranium in the compound weighs = 18 ounces

A compound is made up of various elements totaling = 90 ounces.

Hence:

= 18/90 × 100

= 1800/90

= 20%

Therefore, the percent of the compound that is made up of uranium is 20%

The height of the arch at a distance of 10 feet from the center is to be 8 feet. The height of the arch at its center is approximately 15.59 feet.

To find the height of the arch at its center, we'll use the equation of an ellipse: (x^2/a^2) + (y^2/b^2) = 1, where a is the semi-major axis (half of the span) and b is the semi-minor axis (half of the total height). The given information tells us that the span is 140 feet, so a = 70 feet.
We are also given that the height of the arch is 8 feet at a distance of 10 feet from the center. This means that when x = 60 (70 - 10), y = 8. Plugging these values into the ellipse equation, we get:
(60^2/70^2) + (8^2/b^2) = 1
(3600/4900) + (64/b^2) = 1
Now, we need to solve for b^2:
64/b^2 = 1 - (3600/4900)
64/b^2 = 1300/4900
Cross-multiply and simplify:
b^2 = (64 * 4900) / 1300
b^2 = 243.077
Taking the square root of both sides, we find that b is approximately 15.59 feet. Since the semi-minor axis represents half of the total height, the height of the arch at its center is 15.59 feet.
To know more about ellipse equation, visit:

https://brainly.com/question/30995389

#SPJ11