What is another important math contribution fibonacci made.

Answer:

1/8 + 1/2 = 5/8

Step-by-step explanation:

Total number of beads = 8

Number of green beads = 4

Number of yellow beads = 1

Fraction of green beads :

Number of green / total number of bead = 4 / 8 = 1/2

Fraction of yellow beads :

Number of yellow / total number of bead = 1 / 8

Number of green or yellow bead :

1/8 + 1/2 = (1 + 4) / 8 = 5/8

16.

$12.99 - $3.95 = $9.04

Answer:

Step-by-step explanation:

Aubrey's Pie Shop recently sold \(20\) pies in total, \(6\) of them being cherry pies, so the experimental probability is \(\dfrac{6}{20} = \dfrac{3}{10} = 30\%\) chance of the next one being a cherry pie.

h(x) can also be expressed as f(x) - g(x) where f(x) = 3x and g(x) = x² - 3x.

What is function ?

A function is a mathematical rule or relationship between two sets of objects, often called the input and output, that assigns each input value exactly one output value. In other words, a function is a set of ordered pairs, where each input has only one output value.

For example, the function f(x) = 2x assigns to each value of x its double. If we put in x=1, the output is f(1) = 2(1) = 2. If we put in x=2, the output is f(2) = 2(2) = 4. Each input value has exactly one corresponding output value, which is the definition of a function.

Functions are often represented as graphs, with the input values on the x-axis and the output values on the y-axis. The graph of a function is a visual representation of the set of ordered pairs that define the function.

To express h(x) = 3x = x² as f - g, we need to find two functions f(x) and g(x) such that f(x) - g(x) = h(x).

One possible way to do this is to let f(x) = x² + 3x and g(x) = x². Then we have:

f(x) - g(x) = (x² + 3x) - x² = 3x = x² = h(x)

Therefore, h(x) can be expressed as f(x) - g(x) where f(x) = x² + 3x and g(x) = x².

Another possible way to do this is to let f(x) = 3x and g(x) = x² - 3x. Then we have:

f(x) - g(x) = 3x - (x² - 3x) = 6x - x² = h(x)

Therefore, h(x) can also be expressed as f(x) - g(x) where f(x) = 3x and g(x) = x² - 3x.

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Answer:

On a coordinate plane, 2 triangles are shown. Triangle F G H has points (1, 1), (4, 5), (5, 1). Triangle F prime G prime H prime has points (negative 1, negative 1), (negative 4, negative 5), (negative 5, negative 1). What are the coordinates of vertex F" of ΔF"G"H"?

Step-by-step explanation:

It's B. (x, y) → (x + 7, y – 6)

Answer:

\(delta = {b}^{2} - 4ac = {p}^{2} - 4 \times 3 \times 3 = {p}^{2} - 36\)

The equation has no real roots if delta <0

that is -6<p<6

After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

Answer:

41,49,57

Step-by-step explanation:

the difference between each no. is 8

so add 8

Answer:

Step-by-step explanation:

$450 at 7% for 2 years. $

1st year

450 + 7% = 481.5

2nd year

481.5 + 7% = 515.205

Answer:

Z - score = 2.83

Step-by-step explanation:

Given the following :

Number of samples (N) = 60

Sample mean (x) = 41.9mg

Population mean (μ) = 40mg

Population standard deviation (sd) = 5.2

Using the relation :

Z = (x - μ) / (sd / √N)

Z = (41.9 - 40) / (5.2 / √60)

Z = 1.9 / (5.2 / 7.7459666)

Z = 1.9 / 0.6713171

Z = 2.8302570

Therefore, the z-score = 2.83

Answer:

The decimal 0.78 is a rational number. It is read as seven-tenths and is equivalent to the fraction 39/50

Step-by-step explanation:

hope this is helpful for you and others !!

Answer:

-1, 7

Step-by-step explanation:

Based on the graph (it's a little blurry!) it looks like f(x) = 0 when x = -1 and x = 7.  The question is asking, for what values of x is y=0?  Answer is x = -1, 7

Answer:

factor out the co-efficient of x^2 (x squared) from all the x terms, which is 6.

Step-by-step explanation:

f(x) = 6(x-h)^2 + k

h = -42/2(6) = -7/2

then plot h in as y to find k

The store has a surplus of 10000 pencil packs and decided to donate them to area schools. If there are 27 schools and the store wants to donate the same number of packs to each school, each school will receive 370 packs.

To calculate the number of packs each school will receive, we need to divide the total number of packs by the number of schools.

In this case, we have:

Total number of packs = 10000

The number of schools = 27

The number of packs each school will receive = Total number of packs / Number of schools= 10000 / 27= 370

Therefore, each school will receive 370 pencil packs.

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Answer: Commutative property of addition

The order doesn't matter when it comes to adding.

The general rule can be written as x+y = y+x.

Answer:

the first choice

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

then it means if the events are independent then the probability is multiplying the probability of each event.

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer:

2

Step-by-step explanation:

8+14 = 22

22-5 = 17

17-7 = 10

10+3 = 13

13-7 = 6

6-4 = 2

Answer:

d) 2

Step-by-step explanation:

The strongest negative correlation is represented by the r-value that is closest to -1. In this case, option a, -0.7, represents the strongest negative correlation.

The answer is a. –0.7. A correlation coefficient (r-value) ranges from –1 to +1, where –1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation. The closer the r-value is to –1 or +1, the stronger the correlation. Therefore, –0.7 represents a stronger negative correlation than –0.22 or 0.38, and is not a positive correlation like 0.9.

The strongest negative correlation is represented by the r-value that is closest to -1. In this case, option a, -0.7, represents the strongest negative correlation.

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Answer:

most functions are similar but this function shows that...

Step-by-step explanation:

Answer:

the correct answer is two halves

Step-by-step explanation:

10/10 divided by 5 is 2/2

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

slope is 1

Step-by-step explanation:

slope is usually placed in front of the variable x. When there is no number, the assumption is that there's a 1 beside it.

The point on the line y = (-6/7) x + 6 that is closest to the origin is (2.96, 8.54)

The equation of the line is,

y = (-6/7) x + 6

So each point on the given line can be expressed as (x, (-6/7) x + 6).

So the distance of the point on the line to the origin (0, 0) is given by,

d = √[x² + {(-6/7) x + 6}²]

d² = x² + {(-6/7) x + 6}²

d² = x² + {(-6/7) x}² + 6² + 2 (-6/7)x * 6

d² = x² + 36x²/49 + 36 - 72x/7

d² = 85x²/49 - 72x/7 + 36

Let, z = 85x²/49 - 72x/7 + 36

differentiating the above relation with respect to 'x' we get,

dz/dx = 170x/49 - 72/7

d²z/dx² = 170/49

Now, dz/dx = 0. So,

170x/49 - 72/7 = 0

170x/49 = 72/7

x = (72*49)/(7*170)

x = 252/85

At x = 252/85, d²z/dx² = 170/49 > 0

So, at x = 252/85, z is minimum.

So, at x = 252/85, d² is minimum thus d is minimum.

So, the point is = (252/85, [(-6/7)(252/85) + 6]) = (2.96, 8.54) [Rounding off to nearest hundredth].

Hence the required point is (2.96, 8.54).

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Answer: 240 people

Step-by-step explanation:

If each class has 23 students and 1 teacher then there are a total of 24 people in each class. Multiply that by 10 classes, you should get 240 people.

Answer: 27

Step-by-step explanation: Because, (I am pretty sure that the " * " symbol means multiply) 243 divided by 9 is 27.

I hope my answer helps!

Answer:

Step-by-step explanation:

Answer:

-2/3x + -4

Step-by-step explanation:

to get the equation of any straight line, we only need two points off of it, let's use those two on the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{6}{2}\implies 3\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{3}(x-\stackrel{x_1}{2}) \\\\\\ y-2=3x-6\implies y=3x-4\)

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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Answer:

Henry will need a total of 15 pints of paint. The 3 pints of yellow were multiplied by 3 to get 9 total, so 2 pints of red would be multiplied by 3 to get 6 total.

Step-by-step explanation: