two office aids at lake norman high school are responsible for getting the daily tardy list to the appropriate principals by 3:00pm each day. livi works on the lists 30% of the days and caitlyn works on the tardy lists 70% of the days. livi gets the lists to the correct principals in time 90% of the time. caitlyn gets the tardy lists to the correct principals 92% of the time. if mr. gentle sees that the tardy list is on time, what is the probability that today livi is responsible for the list?

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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Answer:

hello

Step-by-step explanation:

Answer:

1. superscript number

2. exponential growth

3. exponential decay

Step-by-step explanation:

In an exponential expression, the exponent (superscript) number indicates how many times the factor (i.e., the base number) is repeated. For example, the expression 2ⁿ indicates that the base number (2) is repeated n times.

The exponential growth indicates how a specific quantity increases over time, thereby the curve drawing an exponential function. The exponential growth is produced when the rate of increase of a quantity in a given time is directly proportional to the quantity itself.

The exponential decay describes how a specific quantity proportionally decreases across time, thereby showing a percentage decrease rate over time.

Answer:

1. superscript number

2. exponential growth

3. exponential decay

Step-by-step explanation:

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +5 (from -3 to 2)

y changes by -15 (from 10 to -5)

so, the slope is -15/+5 = -3

the equation looks now like

y = -3x + b

let's use the first point

10 = -3×-3 + b = 9 + b

1 = b

so, the equation is

y = -3x + 1

Answer:

a,c,d

Step-by-step explanation:

\(a. \\4i^9+4i^7\\=4i(i^2)^4+4i(i^2)^3\\=4i(-1)^4+4i(-1)^3\\=4i-4i\\=0\\b.\\2i^{18}-3i^{11}\\=2(i^2)^9-3i(i^2)^5\\=2(-1)^9-3i(-1)^5\\=-2+3i\\c.\\7i^{36}-11i^{11}-11i^9\\=7(i^2)^{18}-11i(i^2)^5-11i(i^2)^4\\=7(-1)^{18}-11i(-1)^5-11i(-1)^4\\=7+11i-11i\\=7\\d.\\8i^{22}-1\\=8(i^2)^{11}-1\\=8(-1)^{11}-1\\=-8-1\\=-9\)

e.

\(2i^{27}+4\\=2i(i^2)^{13}+4\\=2i(-1)^{13}+4\\=-2i+4\)

The cost is 4.99(5.75) = $28.69.

She spends $28.69 amount of money on the beef for the spaghetti.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

Given that she purchased five and three-fourths pounds of beef

The rate of beef is $4.99 per pound

The price of five pounds of beef = 5 × 4.99 = 24.95

The price of three-fourths pounds of beef = (3/4)4.99 = 3.74

Total price of beef = 24.95 + 3.74 = 28.69

Hence, she spends $28.69 amount of money on the beef for the spaghetti.

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Answer:

-4x²y + 17xy² - 15xy

Step-by-step explanation:

Step 1: Write out expression

6x²y + 8xy² - 10x²y - 15xy + 9xy²

Step 2: Combine like terms (x²y)

-4x²y + 8xy² - 15xy + 9xy²

Step 3: Combine like terms (xy²)

-4x²y + 17xy² - 15xy

The exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × \(10^5\)

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

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A total of 45 vehicles in the parking are minivans.

Fractions are defined in mathematics as portions of a whole. The entire might be a single thing or a collection of objects. When we cut a slice of cake from the whole thing, the portion is the fraction of the cake. A fraction is a term that comes from Latin. "Fractus" means "broken" in Latin.

The total number of vehicles present in the parking lot= 45 vehicles

Total number of minivans = 3/5th

As for calculating the total number of minivans, we need to determine the value of the (3/5) of the total number of vehicles.

So, the value of total number of minivans = (3/5)*45 = 27

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Answer:

27

Step-by-step explanation:

45 divided by 5 = 9

9 times 3 = 27

Answer:

Solution given;

3-(7-3x)=2x+2

3-7+3x=2x+2

3x-2x=2+4

x=6 is your answer.

Answer:

\(y=\dfrac{-x}{5}+2\)

Step-by-step explanation:

The given equation of line :

y = 5x + 3 ....(1)

The general equation of a line is :

y = mx +b ...(2)

From equation (1) and (2)

Slope, m = 5

The slope of the line perpendicular to this one will have a slope equal to the negative reciprocal such that,

\(m_1\times m_2=-1\\\\m_2=-\dfrac{1}{5}\)

The perpendicular slope = -1/5. It contains point A(0,7).

Put x = 0 and y = 7 in eqution (2)

\(2=(\dfrac{-1}{5})(0)+b\\\\b=2\)

Hence, required equation that is perpendicular to the line y = 5x + 3 is :

\(y=\dfrac{-x}{5}+2\)

Answer:

\( \frac{23}{5} \)

Step-by-step explanation:

4 3/5

\( \frac{4 \times 5 + 3}{5} \)

\( \frac{20 + 3}{5} \)

= 23/5

Answer:

0.

Step-by-step explanation:

1.8 + 3.4 = 5.2.

The sum of two sides is less than the length of the third side (5.6 cm)  so the answer is 0 triangles,

x^2=37 ===》 x = + radical 37( acceptable )

===》 x = - radical 37(unacceptable)

Answer: 82

Step-by-step explanation:

We simply need to substitute the values for x and y into the equation

Both variables are already given to us, x=9, y=2

8(9)+2+4(2)

72+2+8

82

Answer:

Step-by-step explanation:

\(\text{distance} =\sqrt{\left( 11--13\right)^{2} +\left( 2-9\right)^{2} }\)

             \(=\sqrt{\left( 24\right)^{2} +\left( -7\right)^{2} }\)

             \(=\sqrt{576 +49 }\)

             \(=\sqrt{625 }\)

             \(=25\)

Answer:

25

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The slope of the line on the graph is 2, determined by counting up from one point and over to another point.

Perpendicular lines have opposite reciprocal slopes.

Step-by-step explanation:

cot(θ) = 1/tan(θ)

tan(θ) = sin(θ) / cos(θ)

Given cos(θ) = 15/17, we can find sin(θ) using the Pythagorean identity:

sin(θ) = sqrt(1 - (cos(θ))^2) = sqrt(1 - (15/17)^2) = 4/17

So, tan(θ) = 4/15

And, cot(θ) = 1/tan(θ) = 15/4

Answer: 15/8

Step-by-step explanation: We know that sin(0) will equal 8 by the 8,15,17 triangle. We using the restricted domain value for theta and using the pythagorean identities to get cot(0) as cos(0)/sin(0) and substitute the values. The denominators cancel and the result is 15/8.

Answer:

Maria's vacation was 56 days long

Step-by-step explanation:

Maria went on a vacation for 8 weeks.

We have to find how many days long her vacation was,

Now,

there are 7 days in 1 week.

so, in 8 weeks we will have,

1 week = 7 days

8 weeks = (8)(7) days

8 weeks = 56 days

Hence, she went on vacation for 56 days.

Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

Answer:

3x + y + 2 = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+9<15

x<6

5>2+y

y<3

z-2.3<4.7

z<7

Answer:

52% and 7

Step-by-step explanation:

There are 25 squares of which 13 are shaded , then

\(\frac{13}{25}\) × 100% = 13 × 4% = 52°

(b)

1 square represents \(\frac{1}{25}\) × 100% = 1 × 4% = 4%

Then 80% = 80% ÷ 4% = 20

That is for 80% , 20 squares require to be shaded

That is 7 more than the 13 already shaded

Answer:

256 DIVIDE BY 8 THEN PLUS 1

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

the probability that at least flights are on time is

P(7) + P(8) + P(9) + P(10)

To calculate the probability that at least a certain number of flights are on time using the binomial distribution, we need the probability of success (p), the number of trials (n), and the desired number of successful trials.

Let's assume we have the following information:

Probability of a flight being on time: p = 0.8 (80%)

Number of flights: n = 10

To find the probability that at least a certain number of flights are on time, we need to sum the probabilities of the desired number of successful trials and all higher numbers of successful trials.

Let's say we want to find the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Using the binomial probability formula: P(x) = C(n, x) * p^x * (1-p)^(n-x)

where C(n, x) represents the number of combinations of n items taken x at a time.

Calculating the probabilities: P(7) = C(10, 7) * (0.8)^7 * (0.2)^(10-7) P(8) = C(10, 8) * (0.8)^8 * (0.2)^(10-8) P(9) = C(10, 9) * (0.8)^9 * (0.2)^(10-9) P(10) = C(10, 10) * (0.8)^10 * (0.2)^(10-10)

Finally, we sum up these probabilities to get the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Performing the calculations will give us the specific probabilities and the final probability.

Complete Question :- According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 24 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Find and interpret the probability that exactly 14 flights are on time.

​(c) Find and interpret the probability that fewer than 14 flights are on time.

​(d) Find and interpret the probability that at least 14 flights are on time.

​(e) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.

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\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_2(x)=-5\implies 2^{-5}=x\)

Answer:

y=mx+b

Step-by-step explanation:

The measure of each arc.

a. JL =  132

b. KM =147

c. JLM = 200

d. JM =120

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.

The measure of JL

=m JK+ m KL

= 53+79

= 132

The measure of KM

=m KL+ m LM

= 79+68

=147

The measure of JLM

= 53+68+79

= 200

The measure of JM

=360-200

=120

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