Find the Egyptian fraction for or Illustrate the solution with drawings and use Fibonacci's Greedy Algorithm.(The rectangle method).

The number of yes votes there is 4140 votes

A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

A ratio compares two quantities by division, with the division.

For example if the ratio of votes Yes to No is 5:7

the total ratio is 12

value of yes votes= 5/12 × y

value of No votes= 7/12× y

where y is the total number of votes

therefore the total number of yes votes is

5/12×9936= 4140 votes.

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Answer:

b

Step-by-step explanation:

used a calucator

Answer:

A. x = 75

Step-by-step explanation:

if two triangles are similar then we will be able to write the following equation:

YJ/LM = JK/KL

x/30 = 125/50 cross multiply expressions

50x = 3.750 divide both sides by 50

x = 75 is the value of x that proves the triangles are similar.

Therefore , the solution of the given problem of expression comes out to be 2x² (2x² - 1 ) / (x⁴ + 1 - 2x²) .

Mathematical operations including addition, subtraction, multiplication, and division are required. They result in the following when combined: An equation, some information, and an arithmetic operator Values, parameters, and operations like adds, omissions, multiplications, and divisions make up a statement of fact. Different phrases and words can be contrasted and compared.

Here,

Given :

=> 2x² / x² -1

=> 2x² / x² -1  *  x² -1 /x² -1

=> 2x²(x²-1) / (x² -1)²

=> 2x⁴ - 2x² / (x⁴ + 1 - 2x²)

=>  2x² (2x² - 1 ) / (x⁴ + 1 - 2x²)

Therefore , the solution of the given problem of expression comes out to be 2x² (2x² - 1 ) / (x⁴ + 1 - 2x²) .

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The unit multiplier for the conversion is 24 ft/min = (24 ft² / 1 min) * (12 inch / ft) * (12 inch / ft) * (1 min / 60 sec)

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

1 minutes = 60 seconds

1 foot = 12 inch

The unit multiplier for the conversion of 24 square feet per minute to square inches per second

24 ft/min = (24 ft² / 1 min) * (12 inch / ft) * (12 inch / ft) * (1 min / 60 sec)

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

your welcome.

Answer:

‍♀️‍‍‍‍‍⚕️‍⚕️☺☺

Answer:

8.5

Step-by-step explanation:

15x+10+6x+2=180 (add up to we 180 because they are alternate eachother

21x+12=180 combine like terms

21x=178 subtract 12 from both sides

x~~8.5 divide both sides by 21

Answer:

4

Step-by-step explanation:

Answer:

I think it is 11

Step-by-step explanation:

Answer:

A. 11

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g∘f(x) or g(f(x)) is equal to 27x + 43.

To find g∘f(x) or g(f(x)), we need to substitute the function f(x) into the function g(x).

Given:

f(x) = 3x + 4

g(x) = 9x + 7

To find g∘f(x), we substitute f(x) into g(x) as follows:

g(f(x)) = g(3x + 4)

Now, we substitute 3x + 4 for x in the function g(x):

g(f(x)) = 9(3x + 4) + 7

Expanding and simplifying:

g(f(x)) = 27x + 36 + 7

g(f(x)) = 27x + 43

Therefore, g∘f(x) or g(f(x)) is equal to 27x + 43.

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The approximate percentage of women in this group with platelet counts between 71.3 and 443.9 is approximately 95%  .

To find the approximate percentages using the empirical rule, we can refer to the standard deviations from the mean.

The range within 1 standard deviation of the mean includes approximately 68% of the data in a bell-shaped distribution. In this case, the mean is 257.62, and the standard deviation is 62.1. Therefore, the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7, is also approximately 68%.

To find the approximate percentage of women with platelet counts between 71.3 and 443.9, we need to determine the number of standard deviations away from the mean these values are.

For the lower value of 71.3:

Standard deviations below the mean = (71.3 - 257.62) / 62.1 ≈ -2.99

According to the empirical rule, the percentage below 2 standard deviations is approximately 2.5%.

For the upper value of 443.9:

Standard deviations above the mean = (443.9 - 257.62) / 62.1 ≈ 2.99

According to the empirical rule, the percentage above 2 standard deviations is also approximately 2.5%.

Since the values of 71.3 and 443.9 fall outside of the range within 2 standard deviations from the mean, the approximate percentage of women with platelet counts between 71.3 and 443.9 is approximately 100% - (2.5% + 2.5%) = 95%.

Therefore, the approximate percentage of women in this group with platelet counts between 71.3 and 443.9 is approximately 95%.

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The question is incomplete the complete question  is :

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1 (All units are 1000 cells/muμ L.)

Using the empirical rule, find each approximate percentage below.

What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7 ?

What is the approximate percentage of women with platelet counts between 71.3 and 443.9 ?

a. Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.

(Type an integer or a decimal. Do not round.)

Approximately ____ % of women in this group have platelet counts between 71.3 and 443.9.

(Type an integer or a decimal. Do not round.)

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

3

Step-by-step explanation:

Prime factorize 42 and 3 and you'll eventually get 3 as your answer.

Answer:

3

Step-by-step explanation:

Since you are looking for the greatest common factor, 3 cant have many factors other than itself. So it would be 3, when simplified its similar to 42/3 and 3/3 where it would be 14 and 1.

Part A:The sample space contains 20 possible outcomes.

Part B :there are 3 favorable outcomes.

Part C:The probability of selecting 2 cards that are consonants is 3/20.

The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.

Part A:  When two cards are selected from the pile, the set of all possible outcomes known as the sample space is created. Since one of the five cards has already been selected, there are five choices for the first card and four for the second.

As a result, the sample space contains 20 possible outcomes, or 5 x 4.

Part B: There are 3 consonants in the arrangement of cards: R, S, and T, so the number of ways to choose two consonants from the set of three is one of the favorable outcomes. The following combination formula can be used to find this:

f = (number of ways to choose 2 consonants from 3)

= C(3,2)

= 3

So there are 3 favorable outcomes.

Part C: The probability of selecting two consonant-containing cards in the sample space is the product of the number of favorable outcomes and the number of possible outcomes.

P(selecting two consonants) = f / n,

where n is the number of possible outcomes in the sample space and f is the number of favorable outcomes.

Substituting the values we found in parts A and B, we get:

P(selecting 2 consonants) = 3 / 20

Therefore, the probability of selecting 2 cards that are consonants is 3/20.

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Answer:

A

Step-by-step explanation:

a line parallel to the y- axis is a vertical line with equation

x = c ( c is the value of the x- coordinates the line passes through )

the only line in this form is

x = - 2

Answer:

x = -2

Step-by-step explanation:

Since x = -2 is a vertical line, there is no y-

Hence, x = -2 is a parallel line to y - axis

Answer: 1.25

Step-by-step explanation:

Answer:

There are 5 quarters and 1 nickel

Step-by-step explanation:

Let Q and N be the numbers of Quarters and Nickels that Senor Pena found, respectively.

The value of each coin is $0.25 for quarters and $0.05 for each nickel

The total of $1.30 would be the result of:

1)  Quarters:  $0.25*Q, and

2)  Nickels:  $0.05*N

So we can write:  $0.25*Q + $0.05*N = $1.30

We also know he found 6 coins, so:

 Q + N = 6

We have two equations and two unknowns.  We can use substitution to find the answer.

Rearrange the second equation to isolate one of the two variables.  lets isolate Q:

  Q = 6-N

We can use this definition of Q in the first equation by substitution:

$0.25*Q + $0.05*N = $1.30

$0.25*(6-N) + $0.05*N = $1.30

Leaving off the $ signs for clarity:

0.25(6-N) + 0.05N = 1.30

1.5 - 0.25N + 0.05N = 1.30

-0.2N = -0.20

   N = 1

There is 1 nickel

Since  Q = 6-N, Q = 5

There are 5 quarters and 1 nickel

CHECK

Do 5 quarters and 1 nickel add to $1.30?

5*($0.25) + 1*($0.05) = $1.30?

$1.25 + $0.05 = $1.30  YES

The weight of the astronaut with gear on the moon is 80 pounds.

The pull of gravity is different on Earth than on the Moon as gravity depends on factors such as the mass of the celestial body, the radius of the celestial body, and the density of the celestial body.

The pull of gravity on Earth = 10 m/s²

Thus, Given:

Weight of object on Earth: 25 pounds

Weight is described as the product of mass and the acceleration due to gravity

Thus, 25 = 10 * mass

mass = 2.5 unit

Weight of the object on the Moon: 4 pounds

4 = 2.5 * acceleration due to gravity on the moon

Acceleration due to gravity on the moon = 1.6 m/s²

Weight of astronaut with gear on earth = 500 pounds

500 = mass * 10

mass = 50 units

Weight of astronaut with gear on earth = 50 * 1.6

= 80 pounds

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Answer:

14

Step-by-step explanation:

Ok, 60! is a really big number

\(x!=x(x-1)(x-2)...1\)

So we have 60*59*58...*1

2 times 5 is 10 which makes a terminal zero (ending zero)

We need to count how many fives and twos are in 60!

There are 60/5=12 5^1's

There are 60/25=2 5^2's

So 12+2=14

There are way more 2's than fives so we take the lesser number

So the answer is 14

*Note that 60/25 is not 2, we need an integer rounded down

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

1/8

The probability of getting a head or a tail when flipping a coin is 1/2.  

Therefore, the probability of getting two heads when tossing two coins is 1/2 x 1/2 = 1/4.

The probability of getting three heads when tossing three coins is 1/2 x 1/2 x 1/2 = 1/8.

Since each person is tossing three coins, the probability that they both obtain the same number of heads is 1/8.

The probability of getting n heads when tossing n coins is 1/2^n. Therefore, the probability of getting the same number of heads when two people toss n coins is 1/2^n. This means that if two people each toss a coin, the probability that they both get heads is 1/4; if they each toss two coins, the probability that they both get two heads is 1/16; if they each toss three coins, the probability that they both get three heads is 1/64; and so on.

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Answer:

7

Step-by-step explanation:

7 hair bows for 21 dollars

\(\tt Step-by-step~explanation:\)

If you can purchase 6 hair-bows for $18, we will have to find out the individual price for each hair-bow.

\(\tt Step~1:\)

To find the value of each hair-bow, we have to divide 18 by 6.

\(\tt 18 \div6=3\)

\(\tt Step~2:\)

Now that we know the price of each hair-bow, we need to figure out how many of them you can buy with $21. To find the answer, we will need to divide 21 by 3.

\(\tt 21 \div 3=7\)

\(\Large\boxed{\tt Our~final~answer:7 ~hair-bows}\)

Answer:

11.86824cm

Step-by-step explanation:

Answer:

11.86824cm

Step-by-step explanation:

Answer:

-9 is the correct answer

Answer:

The discount is $3.40. The total price is $13.60.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

You can get this right from the table. 42 females had a positive opinion about the campus.

Answer:

42

Step-by-step explanation:

Let's look at the intersection of the "positive opinion" column and "female" row, the number we see at the intersection is 42.