marty can go to one movie on either friday or saturday. he will be able to choose either comedy or an action movie. which list shows all possible outcomes of one move on one day?

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

only the first option is correct

Step-by-step explanation:

Let the bank balance be b

b is less than $20;

This mean ;

b < $20

So let us select the correct options;

a. This is correct

As we can see, b represents the bank balance which is the variable in the inequality

b. This is incorrect

The inequality symbol is <

c. This is incorrect

The inequality symbol needed is not 20

Answer:

1,3,4,5

Step-by-step explanation:

The expected mass of the sample in the year 2012 is 280 grams

Given data ,

The exponential decay formula is given by:

N(t) = N0 * e^(-λt)

where:

N(t) is the remaining mass of the radioactive isotope at time t,

N0 is the initial mass of the radioactive isotope,

e is Euler's number (approximately equal to 2.71828),

λ is the decay constant of the radioactive isotope, and

t is the time elapsed since the initial measurement.

We know that the initial mass of the sample in 2006 was 490 mg, and the mass of the sample in 2008 was measured to be 370 mg

So , r = ( 490 / 370 )^1/2 - 1

On simplifying , we get

The exponential growth rate r = -13.103392 %

Now , the year = 2012 , t = 4 years

So , x₄ = 490 ( 1 + 13.10/100 )⁴

On simplifying , we get

x₄ = 279.4 grams

On rounding to the nearest whole number ,

x₄ = 280 grams

Hence , the amount of the sample left in 2012 is 280 grams

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Step-by-step explanation:

3y-13>-9

3y-13<-1

3y>4

3y<12

12>3y>4

y=2,3,4

Answer:

\(\left[ \dfrac{4}{3},4 \right]\)

Step-by-step explanation:

Inequality 1

\(3y-13\geq -9\)

Add 13 to both sides:

\(\implies 3y-13+13\geq -9+13\)

\(\implies 3y\geq 4\)

Divide both sides by 3:

\(\implies \dfrac{3y}{3}\geq \dfrac{4}{3}\)

\(\implies y \geq \dfrac{4}{3}\)

Therefore, y is equal to or bigger than 4/3.

Inequality 2

\(3y-13\leq -1\)

Add 13 to both sides:

\(\implies 3y-13+13\leq -1+13\)

\(\implies 3y\leq 12\)

Divide both sides by 3:

\(\implies \dfrac{3y}{3}\leq \dfrac{12}{3}\)

\(\implies y\leq 4\)

Therefore, y is equal to or smaller than 4.

Therefore, the solution to the inequalities in interval notation is:

\(\left[ \dfrac{4}{3},4 \right]\)

Answer:

Option H

Step-by-step explanation:

Option F

If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.

True.

Option G

If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.

True

Option H

If two line are cut by a transversal so that a pair of vertical angles are congruent, then the lines are parallel.

Since, vertical angles don't prove the lines cut by a transversal are parallel.

So the statement is False.

Option J

If two lines are are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel.

True.

Answer:

A

Step-by-step explanation:

if we simplify 8/12 we would get 2/3.

which means 8/12 is an equivalent fraction so comparing them would give us the same value which is true

A half-adder truth table shows that the sum output is the XOR of inputs x and y, whilst the convey output is the AND of inputs x and y. By cascading two half-of-adders and connecting the convey-out of the first to the bring-in of the second one, a complete adder can be constructed.

1. Diagram of a half adder built the usage of half of-adders:

In a half of-adder, the "Sum" output represents the XOR operation of inputs x and y, whilst the "Carry" output represents the AND operation of inputs x and y.

2. Diagram of a full adder built the usage of half of-adders:

 In this diagram, the inputs x, y, and z are connected to the first 1/2-adder. The carry output from this half-adder is hooked up to the second half-adder, together with the input z. The sum output from the second half of-adder is the final sum output of the full adder. The bring output from the second half-adder is the final convey output of the overall adder.

Each half of-adder inside the diagram is categorized with "Sum" and "Carry" to indicate their respective outputs.

Please notice that the input "z" inside the diagram represents the bring-in (Cin) to the entire adder, whilst the outputs "Carry" and "Sum" correspond to the deliver-out (Cout) and sum outputs of the entire adder, respectively.

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Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

Answer:

x + 4 ⩽ 15

Step-by-step explanation:

Let

The number = x

At least in inequality is ⩾ (greater than or equal to sign)

At most in inequality is ⩽ ( less than or equal to sign)

A number increased by 4 is at most 15.

x + 4 ⩽ 15

The inequality that represent the statement is x + 4 ⩽ 15

x + 4 ⩽ 15

x ⩽ 15 - 4

x ⩽ 11

In T3 and T4, LOCK-EXCLUSIVE(A) is used to acquire an exclusive lock on tuple A for writing. After the write operation, U(A) is used to release the lock on A.

To perform the LOCKING related operations in the given transactions, we need to consider the transactions and their respective operations on the tuples in R(A). Here are the locking operations for each transaction:

Transaction T1:

LOCK-SHARED(A)

READ(A)

U(A)

Transaction T2:

LOCK-SHARED(A)

READ(A)

U(A)

Transaction T3:

LOCK-EXCLUSIVE(A)

WRITE(A)

U(A)

Transaction T4:

LOCK-EXCLUSIVE(A)

WRITE(A)

U(A)

In T1 and T2, LOCK-SHARED(A) is used to acquire a shared lock on tuple A for reading. After the read operation, U(A) is used to release the lock on A.

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The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

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Answer:

The answer is B.

Step-by-step explanation:

3 times 3 is 9. 2 times -6 is -12. 9 + -12 is -3.

9 times 3 is 27. 4 times -6 is -24. 27 + -24 is 3.

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

A university is applying classification methods in order to identify alumni who may be interested in donating money. The accuracy, sensitivity, specificity, and precision can be calculated based on the provided information.

To calculate the accuracy, sensitivity, specificity, and precision, we use the information from the confusion matrix and the predicted and actual classes of the observations in the validation set.

The confusion matrix summarizes the performance of the random forest on the validation set. It shows the number of observations that were correctly or incorrectly classified. Based on the confusion matrix, we can calculate the accuracy, sensitivity, specificity, and precision.

Accuracy is calculated by dividing the sum of the correctly predicted observations (20 + 5375) by the total number of observations (20 + 268 + 23,439 + 5375). In this case, accuracy = (20 + 5375) / (20 + 268 + 23,439 + 5375).

Sensitivity is calculated by dividing the true positive (donation correctly predicted) by the sum of true positive and false negative (donation incorrectly predicted as no donation). In this case, sensitivity = 20 / (20 + 268).

Specificity is calculated by dividing the true negative (no donation correctly predicted) by the sum of true negative and false positive (no donation incorrectly predicted as donation). In this case, specificity = 23,439 / (23,439 + 5375).

Precision is calculated by dividing the true positive (donation correctly predicted) by the sum of true positive and false positive (no donation incorrectly predicted as donation). In this case, precision = 20 / (20 + 5375).

By substituting the values and performing the calculations, the specific values of accuracy, sensitivity, specificity, and precision can be obtained.

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Answer:

16A. 42 cm

16B. 7 cm  

Step-by-step explanation:

The image of v is (1, 17).

The preimage of w is (12, -7).

To find the image of v and the preimage of w using the given function T(V₁, V₂) = (V₁ + V₂, V₁ - V₂), we substitute the coordinates of v and w into the function.

Given:

v = (9, -8)

w = (5, 19)

Image of v:

To find the image of v, we substitute its coordinates into the function:

T(9, -8) = (9 + (-8), 9 - (-8))

= (1, 17)

Therefore, the image of v is (1, 17).

Preimage of w:

To find the preimage of w, we need to solve the function for V₁ and V₂ when the result is equal to w = (5, 19).

V₁ + V₂ = 5

V₁ - V₂ = 19

To solve this system of equations, we can add the two equations:

(V₁ + V₂) + (V₁ - V₂) = 5 + 19

2V₁ = 24

V₁ = 12

Substitute V₁ = 12 into one of the equations to find V₂:

12 - V₂ = 19

V₂ = -7

Therefore, the preimage of w is (12, -7).

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Answer:

10

Step-by-step explanation:

(3x-1)+2x-4 turns into

(3x3 -1)+2x3 -4

(9-1)+6-4

8+2

10

7x-5=6x+4

first take like terms,

7x-6x=4+5

from the above, when a term moves to the other side, the sign automatically changes. therefore, we +6x becomes -6x and -5 becomes +5

7x-6x=4+5

1x= 9

x= 9/1

x=9

answer is 9.

76 degrees Fahrenheit was found to be equal to approximately 24.4 degrees Celsius using the formula of conversion.

To convert Fahrenheit to Celsius, you can use the following formula:

Celsius = (Fahrenheit - 32) x 5/9

Plugging in 76 degrees Fahrenheit, we get:

Celsius = (76 - 32) x 5/9

Celsius = 44 x 5/9

Celsius = 220/9

Celsius ≈ 24.4

Therefore, 76 degrees Fahrenheit is approximately 24.4 degrees Celsius.

On the Fahrenheit scale, water freezes at 32 degrees Fahrenheit (°F) and boils at 212 °F, at standard atmospheric pressure.

On the Celsius scale, the freezing point of water is defined as 0 degrees Celsius (°C), and the boiling point of water is defined as 100 °C, at standard atmospheric pressure.

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A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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Answer:

86.10/10.25= 8.4

The answer is the 4th one

Step-by-step explanation:

In this problem, and in general statistics, z represents the standard score of the data.

This standard score is the number of standard deviations that there are above or below a sample.

We have the mean: 173.38 cm

and the standard deviation: 8.78 cm

We first determined the standard score for the tallest living man:

We obtain the difference between this sample and the mean:

Then we calculate how many standard deviations are in this difference:

Then the standard score for the tallest living man is 9.87

We need to do the same to the shortest living man:

Remember that if the sample is minor than the mean we take the absolute value.

Then the standard score:

Then the standard score for the shortest living man is 7.38

The height that was more extreme is the height that has a standard score major, then we can conclude:

The standard score for the tallest living man is 9.87

The standard score for the shortest living man is 7.38

And the height that was more extreme is the tallest living man's height

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

42,504 watts

Step-by-step explanation:

154x276hours=42,504watts

Answer:

42504

Step-by-step explanation:

As it uses 154 watt-hours per hour, in 276 hours, it would use 42504 as we would multiply the energy usage by the amount of hours used:

154 watt-hours = 1 hour

276 hours = 42504 watt-hours

276*154 = 42504

Answer:

-5p+35

Step-by-step explanation:

=(5)(7+−p)

=(5)(7)+(5)(−p)

=35−5p

=−5p+35

Let's call the original productivity "P1" and the new productivity "P2".

P1 = 120 boxes / 30 hours = 4 boxes/hour

P2 = 220 boxes / 30 hours = 7.33 boxes/hour

The unit increase in productivity is P2 - P1 = 7.33 - 4 = 3.33 boxes/hour

The percentage increase in productivity is (P2 - P1) / P1 * 100% = (3.33 / 4) * 100% = 83.25%.

So, we conclude that original productivity of boxes is 4 boxes/ hour,  the new productivity is 7.33 boxes/hour, the unit increase in productivity is 3.33 boxes/hour, and the percentage increase in productivity is 83.25%.

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_______ The given question is incomplete, the complete question is given below:-

Chuck Sox makes wooden boxes in which to ship

motorcycles. Chuck and his three employees invest a total of 30

hours per day making the 120 boxes.

1) What is their productivity?

2) Chuck and his employees have discussed redesigning the process

to improve efficiency. If they can increase the rate to 220 boxes

per day, what will be their new productivity?

3) What will be their unit increase in productivity per hour?

4) What will be their percentage change in productivity?

Answer:

77777777777777777777

Answer:

y-9=7(x+5)

Step-by-step explanation:

Point-Slope form is

\(y-y_{1} =m(x-x_{1} )\)

where m equals the slope of the line and y1 and x1 represent the y and x coordinates of one of the points on that line.

First, let's find the slope (change in y divided by the change in x):

\(\frac{9-(-5)}{-5-(-7)} =\frac{14}{2} =7\)

Now, let's choose any one of the two points, I'll pick (-5,9), but (-7, -5) also works.

Substitute in the y value (in this case 9) for y1 and substitute the x value (in this case -5) for x1

We can also substitute the slope, m which we know is 7.

y-9=7(x-(-5)

y-9=7(x+5)

The number of mole of pure 11C (carbon-11) initially present is 0.2727 mole

The mole of a substance is related to it's mass and molar mass according to the following equation

Mole = mass / molar mass

With the above formula, we can obtain the number of mole of pure 11C. Detail below:

From the question given, the following data were obtained:

Mole = mass / molar mass

Mole = 3 / 11

Mole = 0.2727 mole

Therefore, the number of mole of pure 11C initially present is 0.2727 mole

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