pls explain what porprtion is

120 many combinations are possible.

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

Consider a collection of three integers P, Q, and R. The number of ways that we may choose two numbers from each group is thus determined by combination.

It is represented as: \(^nC_r\)

where, n = total number of objects in the set

r = number of choosing objects from the set

Given that,

Cell Phone Models A particular cell phone company offers:

4 models of phones

each in 6 different colors

each available with any one of 5 calling plans

Thus, possible combination numbers are:

= (No. of models) × (No. of colors) × (No. of calling plans)

= (4)× (6)× (5)

= 120 possibilities

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Answer:

y = 1/6x

Step-by-step explanation:

linear equations don't have exponents

The lowest common denominator of the fraction is 6

The lowest common denominator (LCD) is the smallest common multiple of the denominators of a set of fractions. It is used to add or subtract fractions with different denominators.

The LCD of a set of fractions is the smallest number that is divisible by all the denominators in the set. When all the denominators are divided into the LCD, each fraction has an equivalent fraction with the same value and a denominator equal to the LCD.

In the fraction given;

x / 3 + x / 2 = 20

The lowest common denominator is 6

Using 6, we can divide through each of the fraction.

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Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

Answer:

x = 12, y = -1

Step-by-step explanation:

x - 2y = 14            (call this equation '1.')

x + 3y = 9             (call this '2')

'2' - '1' :

0x  + (3 - -2)y = 9 -14

(3 + 2)y = -5

5y = -5

y = -1.

substitute than into '1':

x - 2(-1) = 14

x + 2 = 14

x = 12.

check we are correct by subbing into '2'.

x + 3y = 9

12 + 3(-1) = 12 - 3 =9

so, x= 12 and y = -1

Answer:

X=14+2y

14+2y+3y=9

14+5y=9

5y=9-14

5y=–5

Y=–1

Question 1

Answer:

You have to make an equation. The equation for sphere is V=4/3 π r^3

radius is half of diameter. Radius is 3 cm

Step-by-step explanation:

4/3 x3.14 x 3^3

= 113.04 cm

than you have to do the cubic root of 113.04.

By doing it like that, you can answer the rest of the 3 questions.

Thank you, I hope this is helpful!

Answer:

x = 7    y = -3

Step-by-step explanation:

x - y = 10   ⇒   x = 10 + y

Substitute  x = 10 + y  into 2x - y = 17:

2(10 + y) - y = 17

20 + 2y - y = 17

y = -3

Substitute the found value of y into x = 10 + y to find x:

x = 10 - 3 = 7

The according to the dot plot, the true statement is: the data is left-skewed and shows Shira never scored fewer than 2 points or more than 12 points in a game

A data distribution that is left-skewed is negatively skewed. This means that the long tail goes in the negative direction of the number line, with most of the values being concentrated on the right side.

The dot plot given is left-skewed, which means it is negatively-skewed.

Therefore, the according to the dot plot, the true statement is:

The data is left-skewed and shows Shira never scored fewer than 2 points or more than 12 points in a game

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Answer:

c

The data is skewed to the left and shows that she never scored fewer than 2 points or more than 12 points in a game.

Step-by-step explanation:

swag

Answer:

q5 is 4

q6 is 72

Step-by-step explanation:

yan na po ..sana maktulong sau

Answer:

A) Function 1

Step-by-step explanation:

Function 1:

the slope in y=mx+b is m

the slope is 1/3

Function 2:

(4,1) (8,2)

(2-1) / (8-4) = 1/4

Steps to solve:

b + 4.22 = 7.08

~Subtract 4.22 to both sides

b = 2.86

Best of Luck!

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

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Answer:

22

Step-by-step explanation:

Answer:

Plot the points on the graphing calculator, and then generate the best regression model. That model is:

F = 16.65x + 15.7

The closest equation is D.

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

A bag of numbered lottery balls contains he numbers 1 through 50.

One ball is selected at random.

From 50 balls, one ball can be selected in 50 different ways.

So, the total number of points in sample space is 50.

Let us consider the event that the number is a multiple of 8 be A.

There are six numbers between 1 o 50 which are multiple of 8.

Therefore, one ball can be selected from 6 balls in 6 different ways.

So, the number of points in sample space in favour of the event A is 6.

Therefore, by the classical definition of probability,

Then, the probability that the selected number is not a multiple of 8 is

So, the required probability is 22/25.

Answer:

We accept with 99 % of confidence that p₁ ( the proportion in the group aged 18 - 34 ) is bigger than p₂ (the proportion in the group aged 35-44)

Step-by-step explanation:

Group aged  18 - 34

Sample size n₁  =  655  sample size enough to apply a normal distribution aproximation for the test

p₁ = 0,45      and   q₁ =  1 - p₁      q₁ = 0,55

p₁*n₁  =  0,45*655 = 294     q₁*n₁  = 0,55*655 = 360

both bigger than 5

p₁  = 45 %     or     p₁  = 0,45          then  q₁  = 1 - 0,45    q₁ = 0,55

Group aged 35 - 44

Sample size  n₂  =  420 sample size enough to apply a normal distribution aproximation for the test

p₂  =  37%   p₂ = 0,37     and    q₂  = 0,63

p₂*n₂  =  0, 37*420 =  155     q₁*n₁  = 0,63*420 = 264

Test Hypothesis

Null Hypothesis        H₀                                             p₁  =  p₂

Alternative Hypothesis Hₐ                                        p₁  >  p₂

Significance level    α  =  1%   α  = 0,01

Confidence Interval     CI = 99 %

Then   from z table  we find   critical z   z (c )  = 3,1

Calculating   z(s)

z(s)  =  (  p₁ - p₂ )/ √[ ( p₁*q₁)/n₁ ] + [ (p₂*q₂)/n₂ ]

z(s ) = (0,45 - 0,37 ) /  √ 0,45*0,55)/655  +  0,37*0,63 /420

z(s)  = 0,08  /0,03

z(s) = 2,66

Comparing  z(s)  and z(c)

z(s) < z(c)

Then z (s) is inside the acceptance region for H₀

1. The Fill ups are as follow:

AB² +  BC² = AC. AD + AC. CD

2. Segment addition postulate

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

BC/ AC = CD/ BC and AB/ AC = AD/ AB

Now, BC² = AC. CD  and AB² = AC. AD

Using, Addition Property of Equality

AB² +  BC² = AC. AD + AC. CD

and, AB² +  BC² = AC (AD + CD)  [factor]

AD + CD = AD (segment addition postulate)

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PLATO

i got it correct :)

Answer:

65

Step-by-step explanation:

I hope it helps

A^2 + B^2 = C^2

Let a=\(4x^{4} -20x^{2} -3x^{2} +15\) . So the resulting polynomial after factorization is a= \((4x^{2} -3)(x^{2} -5)\).

A polynomial is an expression that only uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Let

\(a=4x^{4}-20x^{2} -3x^{2} +15\\=4x^{4} -3x^{2} -20x^{2} +15\\=x^{2} (4x^{2} -3)-5(4x^{2} -3)\\=(4x^{2} -3)(x^{2} -5)\)

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Step-by-step explanation:

x=4 and y= 1 because of 4+1=5 and add 2y to both sides

x-2y+2y=2+ 2y

x=2y+2

4-2=2

\(\left \{ {{x+y=5} \atop {x-2y=2}} \right.\)

Here we have 2 equations in one system.

System of Equations/Simultaneous Equations are for finding the intercepts of both graphs.

We can solve these Simultaneous Equations in many ways. However, I'll be solving by substitution.

To solve by using substitution, we need to move either x or y to the another side. I'll move x term to another side for the first equation. (We'll substitute the first equation in the second.)

\(\left \{ {{y=-x+5} \atop {x-2y=2}} \right.\)

Now we substitute y = -x+5 in x-2y = 2

\(x-2(-x+5)=2\\\)

Then distribute -2 in (-x+5) | Note that multiplying the negative will get positive. |

\(x-2(-x+5)=2\\x+2x-10=2\\3x=2+10\\3x=12\)

We should get this. When we get this, we move 3 to divide 12 (Opposite when moving to another side so from plus to minus and from multiply to divide.)

\(x=4\)

But we are not done yet. We have to find the y-value. After all they are two variables equations.

If we want to find the y-value then we have to substitute x = 4 in any given equations. I'd suggest to substitute in the equation that doesn't have a coefficient with high value.

So I'll be substituting in x + y = 5 instead.

Substitute x = 4 in x + y = 5

\(4+y=5\\y=5-4\\y=1\)

Thus, we get both x and y value. Answer in either coordinate point or writing form.

Therefore, the answer is

x = 4 when y = 1 or (4,1)

Both works. Hope this helps.

Answer:

I would guess about 187 people out of the 850. I'm not really sure though.

Step-by-step explanation:

Answer:

People smoking= 187

Step-by-step explanation:
Take ratio of 22 people smoking out of 100,
\(\frac{22}{100}\)
now take ratio of unknown people smoking to 850 that is,
\(\frac{x}{850}\)
Compare them[i.e. take into proportion]
\(\frac{22}{100} = \frac{x}{850}\)
\(\frac{22}{100} . 850 = x\)
\(x= 187\)

The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

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Answer:

Step-by-step explanation:c 15

The probability of rolling the dice and having the three faces land on top is 1/4.

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place.

In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%.

The higher the likelihood, the more likely it is that the event will take place.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n. In order to better grasp probability, let's look at a straightforward application.

So, we are aware of the formula:

P(E) = Favourable events/Total events

Now, substitute the values and calculate as follows:

P(E) = Favourable events/Total events

P(E) = 3/12

P(E) = 1/4

Therefore, the probability of rolling the dice and having the three faces land on top is 1/4.

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Complete question:

A fair die has 12 sides and they are labeled 1, 2, 3, …, 12.  What is the probability of rolling the die and it lands with the 3 faces on top?

A. A system of equations in standard form that can be solved to find the number of adults and children who attended the performance is:

x + y = 282

3x + 5y = 1046

B. The number of adults who attended the performance is 182 adults.

The number of children who attended the performance is 100 children.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of adult tickets sold and number of children tickets sold, and then translate the word problem into an algebraic equation as follows:

Since 282 people attended the recent performance by Cinderella, a linear equation that models the situation is given by:

x + y = 282     ....equation 1.

Additionally, adult tickets sold for $5 while children tickets sold for $3 each with a total revenue was $1046, a linear equation that models the situation is given by:

3x + 5y = 1046   .......equation 2.

Part B.

By multiplying equation 1 by 3, we have:

3x + 3y = 846     .......equation 3.

By subtracting equation 3 from equation 2, we have:

2y = 200

y = 100 children.

For the x-value, we have:

x = 282 - y

x = 282 - 100

x = 182 adults.

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Answer:

Lets choose y

Plug in

Answer:

I'll choose 'x' variable first to eliminate because -

Step-by-step explanation:

Eqn.1 → -3x - 8y = -24

Eqn.2 → 3x - 5y = 45

If we'll add both the equations , then '3x' would be getting cancelled first.

⇒ \((-3x - 8y) + (3x - 5y) = (-24) + (45)\)

⇒ \(3x - 3x - 8y - 5y = 45 - 24\)

⇒ \(-13y = 21\)

⇒ \(y = \frac{-21}{13}\)

Putting the value of y in eqn.2 ,

⇒ \(3x - 5(\frac{-21}{13}) = 45\)

⇒ \(3x + \frac{105}{13} = 45\)

⇒ \(3x = 45 - \frac{105}{13}\)

⇒ \(3x = \frac{585 - 105}{13} = \frac{480}{13}\)

⇒ \(x = \frac{480}{13 \times 3} = \frac{480}{39}\)

Reducing the fraction gives ,

⇒ \(x = \frac{160}{13}\)

Answer: true

Step-by-step explanation: cuz

Answer:

False

Step-by-step explanation:

So, the length of WZ is 24 in kite WXYZ with diagonals WY and XZ.

A triangle is a closed, two-dimensional geometric shape that is formed by three line segments, called sides, that intersect at three points, called vertices. Triangles are one of the most basic shapes in geometry and are studied extensively in mathematics. The properties of triangles depend on the length of their sides and the size of their angles. Triangles can be classified based on the length of their sides as equilateral, isosceles, or scalene, and based on the size of their angles as acute, right, or obtuse. In an equilateral triangle, all three sides are of equal length. In an isosceles triangle, two sides are of equal length, while the third side is of a different length. In a scalene triangle, all three sides are of different lengths.

Here,

Since WXYZ is a kite, we know that its diagonals, WY and XZ, intersect at a right angle and bisect each other. Let M be the point of intersection of the diagonals, so that MW = MY and MX = MZ.

We can use the Pythagorean theorem to find MW and MX, and then use the fact that they are equal to find WZ.

Using the Pythagorean theorem in right triangles WMX and WMY, we have:

MW² = WX² - MX²

= 17² - 5²

= 264

MY² = WY² - MW²

= 13² - 264

= 25

MX² = XZ² - MZ²

= 17² - 13²

= 144

Since MW = MY, we have MW = √(25)

= 5

Therefore, WZ = 2MX

= 2√(144)

= 2*12

= 24

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Answer:

The last one looks like its not true

Answer:

Step-by-step explanation:

4) looks wrong , or untrue.