What is the measure of EAC?


In circle O, AD and BE are diameters. The measure of arc


AB is 55° and the measure of arc CD is 25°.


100°


125°


235°


280°

The expected value the bookstore can make per student in one hour is; $4

How to find the Expected value?

The missing table is;

No. of Heads     Probability

       \(0~~~~~~~~1/16\\1~~~~~~~~4/16 \\2~~~~~~~~6/16\\3~~~~~~~~4/16\\4~~~~~~~~1/16\)

Thus, the expected value the bookstore can make per student in one hour is;

\([(0\) × \(\frac{1}{16}) + (1\) × \(\frac{4}{16}) + (2\) × \(\frac{6}{16}) + (3\) × \(\frac{4}{16}) + (4\) × \(\frac{1}{16})]\) × \(2\)

E(X) = $4

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Using the empirical rule, we can estimate that approximately 97.5% of the students have GPAs that are greater than 1.66 at this university.

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To apply this rule to the given scenario, we first need to calculate how many standard deviations away from the mean a GPA of 1.66 is.

Z = (X - μ) / σ

Where X is the GPA in question, μ is the mean (2.56), and σ is the standard deviation (0.45).

Z = (1.66 - 2.56) / 0.45 = -2

This tells us that a GPA of 1.66 is 2 standard deviations below the mean.

Now, using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Since a GPA of 1.66 is 2 standard deviations below the mean, we can conclude that only about 2.5% (half of the remaining 5%) of the students have a GPA lower than 1.66.

Therefore, the percentage of students who have GPAs that are greater than 1.66 would be approximately 97.5%.

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Answer:

SSS: Side-Side-Side
SAS: Side-Angle-Side
ASA: Angle-Side-Angle

AAS: Angle-Angle-Side

Step-by-step explanation:

They are the conditions used to determine whether two triangles are congruent or not.

Answer:

a couple different obes

Step-by-step explanation:

there are five

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Since Tony is self-employed, he will have to pay all of the tax himself.

Take his adjusted earnings times the tax rate

58238.74 * 2.9%

58238.74 * .029

1688.92346

Rounding to the nearest cent

1688.92

Answer:

13.4 or 13 if rounded to the nearest 10th

Answer:

C. 9/8

Step-by-step explanation:

\( \frac{6}{8} \div \frac{8}{12} \)

Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:

\( \frac{6}{8} \times \frac{12}{8} \)

multiply the numerator together:

6 × 12 = 72

multiply the denominator together:

8 × 8 = 64

now the fraction is:

\( \frac{72}{64} \)

simplify further by dividing both numbers by 8:

72 ÷ 8 = 9

64 ÷ 8 = 8

so the fraction is 9/8

Answer

-11/3>x>7/3

Step-by-step explanation:

|3*7/3+2|=9

|7+2|=9

|9|=9

9=9

therefore, x must be > 7/3

|3*-11/3+2|=9

|-11+2|=9

|-9|=9

9=9

therefore, x must be < -11/3

The number of pieces in the bowl before she added the 20 is 8 pieces of candy

Here, we want to get the number of pieces in the bowl before the addition of the 20 pieces

Let the number of pieces before the addition be n

she added 20 pieces to what is there initially, this brings the total to;

Now, two days after the addition, half of the above is gone

Half of the above is;

Now, the difference between the number of pieces in the bowl after the addition of the 20 and the half gone is 14; we have the equation as thus;

step 1

the probability of get 4 in one dice is

P=1/6

so

the probability of get 4 in two dices is

(1/6)*(1/6)=1/36

Answer:

To perform a 180° rotation about the origin, we simply switch the signs of the coordinates and flip them across the x-axis. So, the new coordinates of the vertices will be:

(2, 1) -> (-2, -1)

(4, 2) -> (-4, -2)

(2, 4) -> (-2, -4)

Plotting these points and connecting them, we get the triangle:

      (2, 4)

        *

       / \

      /   \

(-2, -4)---(-4, -2)

    (2, 1)

After the 180° rotation, the triangle is flipped upside down and its position is mirrored across the origin.

Step-by-step explanation:

Answer:

Step-by-step explanation:This is a standard question which is to be answered according to the definition.If any complex number is written in the form of an ordered pair (a, b), it is written as'z = a + ib.Here, a=3 and b=4Hence, z=3+4i

The answer is 25

Sooooo to find the hypotenuse you gotta use this formula: a^2+b^2=c^2.

Answer: \(R = \dfrac{E}{I}\)

Given Ohm's formula:

\(E = IR\)

divide both sides by I

\(\dfrac{E}{I} = \dfrac{IR}{I}\)

simplify

\(\dfrac{E}{I} = R\)

Answer:

R = E/I

Step-by-step explanation:

Ohm's Law :- E = IR .

We need to solve for R ,

==> E = IR

Divide both the sides by I ,

==> E/I = IR/I

simplify,

==> E/I = R

Hence the required answer is R = E/I

c=√a2+b2 I really hope this helps

Given:

Length of each side of the box = 25  cm

Diameter of the ball = 9.55 inches.

To find:

Whether the ball will fit inside the box.

Solution:

The ball will fit inside the box if the diameter of the ball is less than or equal to length of each side of the box.

Length of each side of the box = 25  cm

We know that, 1 inch = 2.54 cm

Diameter of the ball = 9.55 inches.

                                 = (9.55 × 2.54) cm

                                 = 24.257 cm

Clearly, 24.257 cm < 25 cm. Diameter is approximately 1 cm shorter than the side of the box.

Therefore, the ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

Hence, the correct option is C.

Answer:

B) a = 2.25

Step-by-step explanation:

Isolate the variable, a. Divide 2 from both sides:

(4.5)/2 = (2a)/2

a = 4.5/2

a = 2.25

B) a = 2.25 is your answer.

~

Answer: its B

Step-by-step explanation: 1. identify the operation in the equation

2. use inverse operations to isolate the variable, division or multiplication property of equality

3. check the solution using substitution or estimation

Answer:

lose 300 lbs in 6 months

Step-by-step explanation:

Answer:

Apply the distributive property, and then combine like terms.

Step-by-step explanation:

I jus got 100% on the quiz.

The pair of steps which can be used to show that the expressions are equivalent are Apply the distributive property, and then combine like terms.

Distributive property is a property defined for three numbers or terms a, b and c as follows.

a (b + c) = ab + ac

The formula for difference of cubes is,

a³ − b³ = (a − b) (a² + ab + b²).

Starting from right hand side,

using the distributive property, (a − b) (a² + ab + b²) can be written as,

(a − b) (a² + ab + b²) = a (a² + ab + b²) - b (a² + ab + b²)

                                 = a³ + a²b + ab² - ba² - ab² - b³

Combining like terms,

(a − b) (a² + ab + b²) = a³ - b³

Hence he correct option is A.

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The shape of the distribution for the following set of data {X f 5 4 3 2 1 5 3 1 5} is B) Positively skewed.

A positively skewed distribution is a distribution in which the majority of the data falls on the lower side of the scale, with the tail extending to the right side of the scale.

Positive skewness is present in a distribution when the mean is higher than the median.

As a result, the mean is skewed to the right, causing the tail on the right side of the distribution.

As a result, the tail is often referred to as the "positive" tail.

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Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)

A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.

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The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

According to the statement

We have given that the there is a algorithm which is used to data cleanup problem of removing 0 values from a data set, and scans a list from left to right and copies every legitimate value into a new list.

and we have to explain about that algorithm.

So,

Here we given that the algorithm copies and paste the values in the new files then

the algorithm is called the copy over algorithm.

So, The copy over algorithm is a a single specimen of something that occurs in a multiple edition, such as a book, article, etc. a matter to be reproduced in print or an imitation or reproduction of an original.

So, The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

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Answer:

The y intercept is always (0,y) so in this case it is (0,8)

Step-by-step explanation:

Answer:

so on a graph you have two axis's: the x (horizontal) and y (vertical). The y intercept is the point at which your line touches the y axis which is also when x=0. So your y intercept will always be (0,y) in this case when x is t and when t is 0, C (or y) is 8. x is your input (independent) and y is your output (dependent). The y intercept in the above model can be written as (0,8) or m=8

Step-by-step explanation:

To compare the greater pay between a salary of $74,000 per year and an hourly rate of $40 for 80 hours every fortnight, we need to calculate the total earnings for each option.

Salary per year:

To calculate the total earnings for the salary option, we simply take the annual salary of $74,000.

Total earnings = $74,000 per year

Hourly rate:

To calculate the total earnings for the hourly rate option, we need to determine the total number of hours worked in a year. Since there are 26 fortnights in a year, and the lawyer works 80 hours per fortnight, the total number of hours worked in a year would be:

Total hours worked per year = 26 fortnights * 80 hours/fortnight = 2,080 hours

Now we can calculate the total earnings:

Total earnings = Hourly rate * Total hours worked per year

= $40/hour * 2,080 hours

= $83,200

Comparing the two options, we find that the greater pay is $83,200 from the hourly rate, which exceeds the $74,000 salary per year.

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Answer:

Let's assume the width of the door is x inches. Then, according to the problem, the length of the door is 48 inches longer than the width, which means the length is x+48 inches.

The area of the door is given as 3024 square inches, so we can set up an equation:

Area = width x length

3024 = x(x+48)

Simplifying the equation, we get:

x^2 + 48x - 3024 = 0

Now we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

where a = 1, b = 48, and c = -3024

x = (-48 ± √(48^2 - 4(1)(-3024))) / 2(1)

x = (-48 ± √(2304 + 12096)) / 2

x = (-48 ± √14400) / 2

We take the positive root since the width of a door cannot be negative:

x = (-48 + 120) / 2

x = 36

Therefore, the width of the door is 36 inches.

Step-by-step explanation:

The gage pressure in bars needed to pressurize the airplane to simulate sea level conditions is approximately `0.26366 bar`.

The pressure in an airplane is determined by the altitude above the sea level and the atmospheric pressure.

The following relation is used to determine the pressure, `P` at a given altitude, `h` above the sea level where `P_0` is the atmospheric pressure at sea level,`R` is the specific gas constant, and `T` is the temperature in Kelvin.`P=P_0e^(-h/RT)`Here, `P_0=1.01325*10^5 Pa`, the atmospheric pressure at sea level,`h=35,000 ft=10,668m`.

We can convert the altitude from feet to meters by using the following conversion factor:1 foot = 0.3048 meter.So, 35000 feet = 10668 m. `R=287 J/(kgK)` (for dry air). `T=273+20=293K` (assuming a standard temperature of 20°C at sea level)

Now, we can substitute all these values in the formula and calculate the pressure. `P=P_0e^(-h/RT)P=1.01325*10^5 e^(-10,668/287*293)`P = 26,366 Pa or 0.26366 bar

Therefore, the gage pressure in bars needed to pressurize the airplane to simulate sea level conditions is approximately `0.26366 bar`.

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The amount of nitrogen in the tank containing 505 cubic meters of air is approximately 390.9 cubic meters.

To find the amount of nitrogen in a tank containing 505 cubic meters of air, we can set up a proportion using the given information.

Let's represent the amount of nitrogen in the tank as 'N'. Since the atmosphere is 78% nitrogen by volume, we can set up the following proportion:

(78/100) = N/505

To solve for N, we cross-multiply and then divide:

78 * 505 = 100 * N

N = (78 * 505) / 100

N ≈ 390.9

Therefore, the amount of nitrogen in the tank containing 505 cubic meters of air is approximately 390.9 cubic meters.

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Fred owes $14,250 in credit card debt.

We must total up all of Fred's assets and liabilities, then subtract them to arrive at the amount he owes on his credit cards.

Let's figure it out:

Total Assets:

House (current value) = $105,900

Checking Account = $375

Vehicle (current value) = $13,500

Savings Account Value = $1,275

Total Liabilities:

Credit Card Debt = ?

Student Loans = $32,000

Personal Loans = $800

Total Assets - Total Liabilities = Net Worth

105,900 + 375 + 13,500 + 1,275 - (Credit Card Debt + 32,000 + 800) = 74,000

Solving for Credit card debt =

Credit Card Debt = 74,000 - 88,250

Credit Card Debt = -14,250 [The negative sign identifies it as a liability, as you can see.]

Therefore, Fred owes $14,250 in credit card debt.

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