Which equation has infinitely many solutions? 5(2x 4) = 10x – 12 5(2x 4) = 10(x 2) 5(2x 4) = 12x 5(2x 10) = 20(x 1)

We are given that the probability of selecting a yellow card is 3 times the probability of selecting a blue card, so we can write the following equation:

yellow = 3 * blue

We also know that the sum of the probabilities of selecting a red, yellow, or blue card must be equal to 1, so we can write the following equation:

red + yellow + blue = 1

Substituting the expression for yellow from the first equation into the second equation, we get:

red + 3 * blue + blue = 1

Combining like terms, we get:

red + 4 * blue = 1

We are given that the probability of selecting a red card is 1/9, so we can substitute this value into the equation:

1/9 + 4 * blue = 1

Solving for blue, we get:

blue = (1 - 1/9) / 4

blue = (8/9) / 4

blue = 2/9

Therefore, the probability of selecting a blue card on the first try is 2/9.

The equation of the transformed function is g(x) = -x² - 2

From the question, we have the following function that can be used in our computation:

f(x) = x² -- parent root function

When the graph is examined (see attachment), we have the transformation to be

g(x) = reflect f(x) across the x-axis and a downward shift of 2 units.

Mathematically, this can be represented as

g(x) = -f(x) - 2

Substitute the known values in the above equation, so, we have the following representation

g(x) = -x² - 2

Hence, the transformed function is g(x) = -x² - 2

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer:

answer is on the photo......

The sum of the first 20 terms of the geometric sequence is 20.25.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Example:

2, 4, 8, 16, 32 is a geometric sequence.

We have,

27, -9, 3, -1,.....

a = 27

Common ratio:

= -9/27 = -1/3

= 3/-9 = -1/3

The sum of the geometric sequence.

S(n) = a (1 - [tex]r^n[/tex]) / (1 - r)

Now,

a = 27,

r = -1/3

S(20):

= 27 (1 - [tex](-1/3)^{20}[/tex]) / (1 + 1/3)

= 27 (1 + 1/[tex]3^{20}[/tex]) / (4/3)

[ (1 + 1/[tex]3^{20}[/tex]) = 1 ]

= 27 x 3/4 x 1

= 20.25

Thus,

The sum of the geometric sequence is 20.25.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ1

The equation of the line is y = x. Then the rule of reflection is (x, y) ⇒ (y, x).

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection is given will be

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

The equation of the line that passes through (0, 0) and (1, 1) is given as,

y - 0 = [(1 - 0) / (1 - 0)](x - 0)

y = x

The equation of the line is y = x. Then the rule of reflection is given as,

(x, y) ⇒ (y, x)

More about the reflection of the point link is given below.

https://brainly.com/question/938117

#SPJ1

Answer:

The answer is ab32

Step-by-step explanation:

ab x 8 x 4 = ab32

Answer: a^4b^32

Step-by-step explanation: (ab^8)^4 = (ab^8)(ab^8)(ab^8)(ab^8) = a^4b^32

Part a: The margin of error and the interval estimate is E = 0.027 and 0.6120 < p < 0.666 respectively.

Part b:  The margin of error and the interval estimate is E = 0.027 and 0.3900 < p < 0.4440 respectively.

Considering the first query;

Since the confidence level for the question is 95%, the level of importance is;

α = (100 - 95)%

α = 0.05

Typically, the crucial value of comes out from normal distribution table of α/2 is;

Z(α/2) = 1.96

Typically, this margin of error is denoted mathematically as follows:

E = Z(α/2)*√P₁(1 - P₁)/n

E = 1.96*√0.639(1 - 0.639)/1200

E = 0.027

Mathematically, a 95% Interval estimate is typically written as;

P₁ - E < p < P₁ +E

0.639 - 0.027 < p < 0.639 + 0.027

0.6120 < p < 0.666

Thus, the margin of error and the interval estimate is E = 0.027 and 0.6120 < p < 0.666 respectively.

Part (b)

Since the confidence level for the question is 95%, the level of importance is;

α = (100 - 95)%

α = 0.05

Typically, the crucial value of comes from the normal distribution table and is;

Z(α/2) = 1.96

Typically, the margin of error is denoted mathematically as follows:

E = Z(α/2)*√p₂(1 - p₂)/n

E = 1.96*√0.417(1 - 0.417)/1200

E = 0.027

Mathematically, a 95% Interval estimate is typically written as;

P₁ - E < p < P₁ +E

0.417 - 0.027 < p < 0.417 + 0.027

0.3900 < p < 0.4440

Thus, the margin of error and the interval estimate is E = 0.027 and 0.3900 < p < 0.4440 respectively.

To know more about the margin of error, here

https://brainly.com/question/10218601

#SPJ4

The complete question is-

Fewer young people are driving. In 1995, 63.9% of people under years 20 old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample 1,200 of people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.

a. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 1995?

Margin of error(to four decimal places)

Interval estimate (to four decimal places)

b. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 2016?

Answer: Zeli shan tel

Step-by-step explanation:

-5 + 13x = 60

13x = 65

x = 5

CHECKING:

-5 + 13(5) = 60

-5 + 65 = 60

60 = 60

Step-by-step explanation:

The domain of the function y = 2x + 5 is [-4, 1), and the range of the function is  [5, 7). The graph is also attached below.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

As you can see from the graph, the coordinates of the line are (0, 5) and (1,7),

Calculate the equation of the line as shown below,

y - 5 = (7 - 5) / (1 -0) (x-0)

y - 5 = 2 (x +0)

y = 2x + 5

The domain of the above equation can be determined from the graph,

Domain = [-4, 1)

Range = [5, 7)

The graph is also attached below.

To know more about Graph:

https://brainly.com/question/10712002

#SPJ1

The lowest term of 38/46 can be expressed as a decimal as 0.826087 and percentage as 82.6087%.

The fraction 38/46 is equivalent to 19/23.

Once the absolute value of the top number, or numerator, (38) is less than the absolute value of the bottom number, or denominator, the fraction is considered to be correct (46).

The fraction 38/46 can be reduced.

To make things simpler, we'll employ the Greatest Common Factor (GCF) technique.

The GCF is the largest number equally divisible by two or more other numbers.

The numerator and denominator factors are listed, and the greatest number repeated in both lists is used to calculate the GCF:

The factors of 38 exists 1,2,19,38;

The factors of 46 exists 1,2,23,46.

We can see that the GCD is 2 because it is the largest number by which 38 y 46 can be divided without leaving any residue.

Simply divide the numerator and denominator by 2 to lower this fraction (the GCF).

So, [tex]$\frac{38}{46}=\frac{38 \div 2}{46 \div 2}=\frac{19}{23}$[/tex]

Therefore, 38/46 exists equivalent to 19/23 in the reduced form.

The factors exists numbers that multiply each other to get another number.

The fraction 38/46 exists even equivalent to 38÷46 and can also be expressed as a decimal as 0.826087 and expressed as a percentage as 82.6087%.

To learn more about fractions refer to:

https://brainly.com/question/78672

#SPJ1

At any point p(x, y), the tangent line to a particular curve has an x-intercept of 3 4 x. The point is also traversed by this curve (1, 16). The equation of the curve is y - 16 = (3/4)(x - 1)^2

To find the equation of the curve, we first need to find the equation of the tangent line at point P(x, y).

Since the x-intercept is 3/4x, the equation of the tangent line is

y - y_p = (3/4)(x - x_p).

We substitute the given point (1, 16) in the equation to find the value of y_p and x_p which are 16 and 1 respectively.

y - 16

= (3/4)(x - 1).

This equation is the equation of the curve.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:

the anwser is b

Step-by-step explanation:

Check the picture below.

Answer:

14.1

Step-by-step explanation:

You add all of your numbers up, and then you divide by how many numbers you have.

An equation of line having slope 1/4 and passes through the point (-4,-3) is y = 1/4x - 2

We know that the slope-point form of line is:

(y - y1) = m(x - x1)

Here, we need to find an equation of line having slope 1/4 and passes pae through the point (-4,-3)

let (x1, y1) = (-4, -3)

and m = 1/4

substitute values in above formula,

(y - (-3)) = 1/4 (x +4)

y + 3 = 1/4 (x+4)

y = 1/4x -2

which is slope-intercept form of line (y = mx + b)

Therefore, equation of line is y = 1/4x - 2

Learn more about equation of line here:

brainly.com/question/21511618

#SPJ4

10 kilometres

Explanation

1/3 + 4/5 = 5/8

5÷8 = 0.625

0.625 * 16 = 10

The new mean cost for all 13 items purchased by Mr. Yates is found to be $3.50.

The given data is-

mean cost =  $3.25

Number of items = 12.

When added with apple pie of $6.50.

Total number of items becomes = 13.

So,

New mean = 6.50x12 + 3.25 / 13

New mean =  3.50

Thus, the new mean for all 13 items purchased by Mr. Yates is found to be $3.50.

To know more about the mean value of the data, here

https://brainly.com/question/1136789

#SPJ4

Maria might have bought 9 tapes and 10 CDs of each type with her gift

certificate.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let,The no. of tapes be 'x' and the no. of CD be 'y'.

Given, She bought no more than 20 recordings.

Therefore, x + y ≤ 20.

And,

Each tape cost $5.95 and each CD cost $8.95.

Therefore,

5.85x + 8.95y ≤ 150.

By graph intersection method we find that (9.355, 10.645) is a solution.

But the numbers should be in integers so, 9  tapes and 10 CD recordings

she might have bought.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ1

6.25% is the the sales tax.

Percentage, a relative value indicating hundredth parts of any quantity.

Given that a store manager notes that gold rings that retail for $688 end up

costing customers $731 once the sales tax is added.

We need to find the sales tax percentage.

The percentage we can calculate by subtracting original amount minus new amount by original amount and multiplied with 100.

731-688/688

0.0625

Multiply 0.0625 with 100 as it is a hundredth part.

0.0625×100

6.25%

Hence, the sales tax percentage is 6.25%.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

From a group of two girls and five boys, all of the various ages, two pupils are randomly selected. The likelihood that the two selected students will be boys is 10/21.

In probability theory and other branches of mathematics, the term "combination" designates a series of results in which the order of the results is irrelevant.

Here given the total number of girls is 2 and boys is 5. Then, the total number of students is 7. The number of ways of selecting 2 students from 7 students is,

[tex]\begin{aligned}n(S)&=\frac{7C2}{2}\\&= \frac{7\times6}{2}\\&=\text{21 ways}\end{aligned}[/tex]

The number of ways of selecting 2 boys from 5 boys is,

[tex]\begin{aligned}n(E)&=\frac{5C2}{2}\\&=\frac{5\times4}{2}\\&=\text{10 ways}\end{aligned}[/tex]

Then, the required probability is calculated as,

[tex]\begin{aligned}P(E)&=\frac{n(E)}{n(S)}\\&=\frac{10}{21}\end{aligned}[/tex]

Therefore, the required answer is 10/21.

The complete question is -

Two students are chosen at random from a group of two girls and five boys, all of the different ages. Find the probability that the two students chosen will be: two boys

To know more about the combination:

https://brainly.com/question/11234257

#SPJ4

Answer:

7.4 mins

Step-by-step explanation:

135 -----> 1 min

1000 ----> x

1000/135 mins = x

= 7.4 mins

Answer:

To determine how long it will take to fill 1000 containers at a rate of 135 containers per minute, you can use the formula: time = number of containers / filling rate. In this case, the filling rate is 135 containers per minute, and the number of containers you want to fill is 1000. Plugging these values into the formula, we get: time = 1000 / 135 = 7.41 minutes.

Total no of racks in the store is 30 and grocery item is maximum.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.

Racks of confectionery items = 10

Racks of bread items = 5

Racks of grocery items = 15

The total no of racks in the departmental store is 30

Using the percentage formula we will calculate the percentage of each item

percentage of confectionery items rack =no. of confectionery racks/total no. of racks  x100

=10/30x100=33.33%

percentage of bread items rack = no. of bread racks/total no. of racks x 100

= 5/30x 100=16.66%

percentage of grocery items rack = no. of grocery racks/total no. of racks x 100

= 15/30 x 100 = 50%

To learn more about percentage visit the link:

https://brainly.com/question/24877689

#SPJ4

Answer: It should be 3rd onem 3/4n=5/8

Step-by-step explanation: if not my bad-

The numerical expression is -4(5+(-2)) by solving we get -12 is the number with a negative term.

Given that,

The expression is -4(5+(-2))

We have to find what is the solution for the given numerical expression.

We know that,

Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, joined by an operator. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Take the numerical expression

-4(5+(-2))

Adding 5+(-2)

Multiply + - we get -

So,

5-2=3

-4(5-2)=-4(3)

Multiply 4 to 3

-4(3)=-12

Therefore, The numerical expression is -4(5+(-2)) by solving we get -12 is the number with a negative term.

To learn more about numerical visit: https://brainly.com/question/7067665

#SPJ1

This equation is incorrect because it is missing a division sign between 1.7 and 0.65p. The correct equation should be t = (1.7 / 0.65p) * 0.10

First, we need to isolate the variable 't' in the equation. To do this, we need to divide both sides of the equation by 0.10. This will give us 0.65p/0.10 = 1.70/0.10, which simplifies to t = (1.7 / 0.65p) * 0.10. This is the correct equation that we need to solve for 't'.

t = (1.7 / 0.65p) * 0.10

t = (1.7 / (0.65 * p)) * 0.10

t = (17 / (6.5 * p)) * 0.1

t = (17 * 0.1) / (6.5 * p)

t = (1.7) / (6.5 * p)

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The answer is 11(a - b), To solve this expression, we need to perform the subtraction operation on the terms inside the parentheses. First, we subtract the term "a + 6b" from "12a - 5b". This gives us 11a - 11b. Then, we can simplify this expression by combining the like terms 11a and -11b to get 11a - 11b = 11(a - b). This is the final answer.

Answer:

25.12 in.

Step-by-step explanation:

C = 2πd

C = 2 × 3.14 × 4 in.

C = 25.12 in.

answer:

if because x does not have two y

Step-by-step explanation:

I hope it works