Use a decimal number to fill in the blank. a 16 input mux has _____ select lines.

Answer:

S = 0.6md

Step-by-step explanation:

Formula

\(⟼ \sf \: \blue { \boxed{s \: = 0.6m \times d}}\)

Step-by-step explanation:

As, we know it 60% is equal to 0.6

Therefore,:

\(⟼ \sf \: \green { \boxed{s \: = 0.6m \times d}}\)

In conclusion, according to the word problem the score was 60% the total mark multiplied by difficulty as and as we all know it 60% equals 0.6 therefore the score equals 0.6m which is Marks × difficulty factor of the dive

The number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let the number of calories per cup of popcorn be x and the number of calories per ounce of soda be y.

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories.

3x+6y=162 ------(I)

Carmel has 1 cup of popcorn and 11 oz of soda for a total of 162 calories.

x+11y=182

x=182-11y------(II)

Substitute equation (II) in equation (I), we have

3(182-11y)+6y=162

546-33y+6y=162

546-162-27y=0

384-27y=0

384=27y

y=384/27

y=14

Substitute y=14 in equation (II), we get

x=182-11(14)

x=28

Therefore, the number of calories per cup of popcorn is 28 oz and the number of calories per ounce of soda is 14 oz.

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"Your question is incomplete, probably the complete question/missing part is:"

Roselle has 3 cups of popcorn and 6 oz of soda for a total of 162 calories. Carmel has 1 cup of popcorn and 11 oz of soda for a total of 182 calories. Determine the number of calories per cup of popcorn and per ounce of soda

Answer:

80/295 = 27%

Step-by-step explanation:

Answer:

30 % of the costumers where serve tea

Mean is 27 and SD is 2 then the normal curve ​with highest range would be at domain 27.

The mean is the average of a set of numbers. It is calculated by adding all the numbers in the set together, and then dividing by the number of values in the set.  It is calculated by adding up all the numbers in the set, dividing by how many values there are in the set, and then multiplying by that number. The average of a group of numbers is called the mean.

Mean is 27 and SD is 2

a) P(23<x<27)= P((23-27)/2<z<(27-27)/2)=P(-2<z<0)=P(z<0)-P(z<-2) or P(z<0)-(1-P(z<2))

From normal distribution table we get 0.5-(1-0.9772)=0.4772

b) P(x>31)=P(z>(31-27)/2)=P(z>2) or 1-P(z<2)=1-0.9772=0.0228

c) P(x<29)= P(z<(29-27)/2)=P(z<1)=0.8413

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The measure of the average value of a random variable is called the expected value. So, the correct answer is B).

The expected value is a measure of central tendency that represents the average value of a random variable over an infinite number of trials. It is calculated by multiplying each possible outcome by its probability of occurring, and then summing up the products.

The expected value is a useful tool in probability theory and statistics, as it provides a way to predict the long-term behavior of a random variable. For example, in a game of chance, the expected value represents the average amount of money that a player can expect to win or lose over a large number of plays.

It is also used in decision-making under uncertainty to compare different alternatives based on their expected outcomes. So, the correct option is B).

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Lucas bought 6 scarves and 4.8 hats.

Lucas has $100 to spend on scarves (X) and hats (Y).

Each scarf costs $7 and each hat costs $11.

If Lucas buys two or more scarves, he gets one scarf for free.

If he buys 4.8 hats, how many scarves does Lucas consume?

Let us suppose that Lucas buys x scarves and y hats.

He has to satisfy the following conditions:Cost of x scarves = 7x Cost of y hats = 11y

His budget is $100.

Therefore, 7x + 11y = 100 ----------- (1)

If Lucas buys two or more scarves, he gets one scarf for free.

In other words, if he buys n scarves, then he pays for (n-1) scarves.

Hence, if Lucas buys 2 scarves, he gets 1 for free and he pays for only one.

Therefore, cost of 2 scarves = 7(2-1) = $7

Similarly, if Lucas buys 3 scarves, he gets 1 for free and he pays for only two.

Therefore, cost of 3 scarves = 7(3-1) = $14 And so on...

We can write this information in a table:

Let us assume that Lucas buys n scarves. He gets (n/2) scarves for free.

Total cost of n scarves is given by:C(n) = 7(n - n/2) + 11y ----------- (2)

Since he buys 4.8 hats, we can write:y = 4.8

Therefore, equation (1) becomes:7x + 11(4.8) = 1007x = 100 - 11(4.8)7x = 45.6x = 6.51

Thus, Lucas bought 6 scarves and 4.8 hats.

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Graphically, the intersection of the two lines is the solution of the system of equation. The number of games played is 6 and the number of rides y = 2.

While using the graphical approach to solve simultaneous or systems of equations, we build a graph for each equation and search for the intersection of the two graphs. The answer to the system of equations would be the coordinates of the point of intersection.

There is no solution if the two graphs are parallel, which indicates that they do not intersect.

Let us suppose games = x.

Let us suppose rides = y.

Cost of x games = 1.50x

Cost of y rides = 3y

Given that, Julieta spent $15 altogether:

1.50x + 3y = 15

She played a total of 8 games and rides:

x + y = 8

The system of equation is:

1.50x + 3y = 15........eq 1

x + y = 8........eq2

Plot the graph by substituting different values of x and obtaining the value of y.

Graphically, the intersection of the two lines is the solution of the system of equation.

The graph intersects at (6, 2) hence the value of x = 6 and y = 2.

Hence, the number of games played is 6 and the number of rides y = 2.

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Answer: She can buy 35 apples, if she only buys apples

Step-by-step explanation: Divide $10 by $0.28 and you get 35.7, don’t round up because she won’t have enough money to pay for the last apple

hope this helps :)

Answer:

$9.8 for 35 apples.

Step-by-step explanation:

I know this because she is spending $9.86 on oranges on apples she would spend $9.8 on apples therefor she bought 35 apples.

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.

To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:

lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1

Simplifying the expression, we get:

lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1

Taking the absolute value and rearranging, we have:

lim(n->∞) |x - 2| < 1

This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.

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Examining measures of dispersion about the mean is important because:
1. They provide information about the spread of the data.
2. They help in interpreting the overall distribution more accurately.
3. They assist in understanding the degree of variability in the data, which is crucial for making informed decisions.

The reason it's important to examine measures of dispersion about the mean is that these measures, such as variance and standard deviation, can provide valuable information about the spread of the data in the distribution. When there are extreme values, the mean might not accurately represent the center of the data.

In such cases, measures of dispersion help in understanding how the data is spread out, which in turn aids in better interpreting the overall distribution. These measures provide insights into the degree of variability in the data, which is crucial for making informed decisions based on the data set.

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Answer:

it would be C≈13.19cm

hope this helps :)

Claim: Youth voting can be beneficial for democracy and civic engagement.

Evidence: Only 6 percent of countries allow 16 year olds to vote which indicates is potential for more countries to explore this option.

Based on evidence, the author's third and final claim is that youth voting can be beneficial for democracy and civic engagement as its shows that allowing 16 and 17 year old to vote has been associated with higher voter turnout and increased civic engagement among young people.

The fact that only 6 percent of countries currently allow 16 year olds to vote suggests that there is potential for more countries to explore this option.

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The following is the scatter plot of Price ($) vs Number:

Notice that this scatter plot is congruent with Plot C

Now, a situation that could be modeled by this data could be the following:

A store keeps track of the products sold by transaction and the total cost of such transaction, resulting in the given table and scatter plot of Price vs Number of items.

Answer:

10th term is the answer

Step-by-step explanation:

33-8= 25

25-8= 17

17-8= 9

9-8= 1

1-8= -7

-7-8= -15

-15-8= -23

-23-8= -31

-31-8 = -39

Yes; the domain values are at regular intervals and the range values have a common factor of 0.25 so option (D) will be correct.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

Given a table of dependent(x) and independent variable (y)

Now the domain is set of the dependent variable so x {3,2,1,-1} so it is decreasing between two points so it is an interval.

Now in the independent variable (x)

If we multiply by 0.25 then the next term will come so it has a common factor of 0.25.

Hence "Yes; the domain values are at regular intervals and the range values have a common factor of 0.25".

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The given question is incomplete, the complete question with a table is given below ;

From the table below, determine whether the data shows an exponential function. Explain why or why not.

a No, the domain values are at regular intervals and the range values have a common factor of 0.25.

b. No, the domain values are not at regular intervals although the range values have a common factor.

c. Yes, the domain values are at regular intervals and the range values have a common factor 4.

d. Yes; the domain values are at regular intervals and the range values have a common factor of 0.25.

The level of equilibrium (GDP) or Y in the hypothetical economy is 600.

To calculate the equilibrium level of GDP, we need to equate aggregate expenditure to GDP. The aggregate expenditure (AE) is given by the formula AE = C + I + G + (X - M), where C is consumption, I is investment, G is government purchases, X is exports, and M is imports.

Given the values:

C = 200 + 0.8Yd

I = 150

G = 100

X = 100

M = 50

We can substitute these values into the AE formula:

AE = (200 + 0.8Yd) + 150 + 100 + (100 - 50)

AE = 450 + 0.8Yd

To find the equilibrium level of GDP, we set AE equal to Y:

Y = 450 + 0.8Yd

Since Yd is the disposable income, we can calculate Yd by subtracting income taxes from Y:

Yd = Y - taxes

Yd = Y - 50

Substituting this into the equation for AE:

Y = 450 + 0.8(Y - 50)

Now we solve for Y:

Y = 450 + 0.8Y - 40

0.2Y = 410

Y = 410 / 0.2

Y = 2050

Therefore, the equilibrium level of GDP (Y) is 600.

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Answer:

Area= 4,200 square feet

Step-by-step explanation:

If I read your question correctly, I'm assuming the dots (".") mean a multiplication sign ("x").

If they are all being multiplied, use PEMDAS to solve this. First, find to value for any exponents you have (in this case, it's \(2^3\) and \(5^2\)).

\(2^3=2*2*2=8\\5^2=5*5=25\)

Now that you have the values for these two exponents, multiply all the numbers together.

8 x 3 x 25 x 7 = 4,200

(√7)3=732

Explanation:

To write

(√7)3

in exponential form, one needs two identities - n√a=a1n

and (am)n=a(m×n)

which is true for all rational

m and n.

Hence,

(√7)3= (712)3

= 7(12×3)

= 732

Answer:

44

Step-by-step explanation:

If Sandra has a bunch of grapes that weighs 48.64 g and a bag of mangoes that weighs 937.2 g. The amount that the fruit weight in total is: $985.84.

Using this formula to determine the fruit weight in total

Total fruit weight = Weight of bunch of grapes + Weight of bag of mangoes

Where:

Weight of bunch of grapes = 48.64g

Weight of bag of mangoes = 937.2g

Let plug in the formula

Total fruit weight = 48.64g +  937.2g

Total fruit weight = 985.84g

Therefore $985.84 is the total weight of the fruits.

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The complete question is:

Sandra has a bunch of grapes that weighs 48.64 g and a bag of mangoes that weighs 937.2 g. How much does the fruit weigh in total?

Answer - 8.4 × 10^9

Hope this helps :)

Answer:

8x-6

12x-9-4x+3

Step-by-step explanation:

12x-4x-9+3

=8x-6

Answer:

\( \sf \: 8x - 6 \)

Step-by-step explanation:

Given expression,

→ 12x - 9 - 4x + 3

Let's simplify the expression,

→ 12x - 9 - 4x + 3

→ (12x - 4x) + (-9 + 3)

→ (8x) + (-6)

→ 8x - 6

Hence, the answer is 8x - 6.

Using the exchange rate, Amy converted $75 into pounds.

The exchange rate is the unit at which one currency is changed to or converted into another.

The exchange rate converts a country's currency into another.

The exchange rate shows the worth of one currency against another.

Exchange rate = $1: £0.54

Amount received = £40.50

The dollars converted into pounds = $75 (£40.50/£0.54)

Check:

$75 to pounds = £40.50 ($75 x £0.54)

Thus, we can conclude that more dollars buy fewer Australian dollars at this exchange rate.

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The values of a and b in the equations are 100 each

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

The given equations are

a. 5x²/2 when x = 10

By substitution, a= 5(10)²/2

This implies that a=( 5 * 100)/2

a= 200/2 = 100

b = [2x²(x-5)]/10x

Substituting x=10 in the equation we have

b = 2*10²(10-5)]/[10(10)]

200(5)/100

b= 10000/100

Therefore b = 100

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that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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