y = x - 2 and x + y = 4 in substitution method please help me​

\(\{2,3\}\) is a set containing two elements - numbers 2 and 3

\(\{\{2,3\}\}\) is a set containing one element - a set \(\{2,3\}\)

Answer:

B is the answer; 16 = 4y. y is equal to 4

Answer:

Answer B :)

And four

Step-by-step explanation:

Part A

y+y+y+y=4y

Part B

Divide the 16 by four and u get four

Its okay :) when i was in 6th grade i did really bad just keep your head up

Answer:

±3

Step-by-step explanation:

y is directly proportional to the square of x.

\(y \propto x^{2}\)

\(y = kx^{2}\)

Find the value of k constant when y=32 and x=4.

\(32=k(4)^2\)

Square the number 4.

\(32=16k\)

Divide both sides with 16.

\(32/16=k\)

\(k=2\)

The value of k constant is 2.

Find the value of x when y=18

\(y=2x^2\)

\(18=2x^2\)

\(18/2=x^2\)

\(9=x^2\)

\(x= \± \sqrt{9}\)

\(x=\± 3\)

The value of x when y = 18 is ±3.

The volume of the pot is = 731.2 cubic inches.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Since the forms of various three-dimensional objects vary, so do their volumes.

According to our answer-

volume of a pot is = πr²h + 2πr³

22/7 * 698/3

731.2 cubic inches

Hence, The volume of the pot is = 731.2 cubic inches.

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On solving the provided question, we can say that An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.

Arithmetic sequences are groups of integers that are arranged in a certain order and share a common difference between each term. The tolerance, for instance, is six in the mathematical progression 3, 9, 15, 21, and 27. Arithmetic progression can also be referred to as such. a series that is produced by adding the same value repeatedly. for instance, 1, 4, 7, 10, 13, 16, 19, 22, and 25. Sequences that have an arithmetic difference between two successive phrases are known as arithmetic sequences. A progression in math with a tolerance of 2 is 2,4,6,8,10.

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. 2,4,6,8,10….is an arithmetic sequence with the common difference 2.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

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A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

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We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

84

Step-by-step explanation:

7/10 of them likes math and there are 240 student in total

240 / 10 = 24 and 24*7 = 168 student likes math if half of them are girls

then there are 84 girls that likes  math.

The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

at least 10 are repairable = (5)/15

at least 10 are repairable = 1/3

from 3 to 8 are repairable = 1/5 *8/15

exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

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After addition of the given unlike fractions 9/5 and 14/7 will be 133/35 after converting them to like fractions and then adding them.

As per the question statement, Rita and Sigmund are assigned to solve a problem involving the addition of two unlike fractions 9/5 and 14/7.

Our first step will be to convert the given pair of fractions to like fraction.

9/5 + 14/7 = 9*7/35 + 14*5/35

In the above step, we made the pair of fractions into like fraction by using the LCM of 5 and 7.

9/5 + 14/7 = 9*7/35 + 14*5/35

                = (63+70)/35

                = 133/35

Hence, after addition of the given unlike fractions 9/5 and 14/7 will be 133/35 after converting them to like fractions and then adding them.

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Tito purchased one raffle ticket as part of a Meals on wheels fundraiser.

1. The probability that Tito wins the grand prize is \(\frac{1}{50}\)

2. The probability that Tito does not win the grand prize is \(\frac{49}{50}\)

3. The odds against Tito winning the grand prized is \(\frac{1}{49}\)

4. The odds in favor of Tito winning the grand prize is 49.

               Probability means chance or possibility of an outcome. It explains the possibility of a particular event occurring.

Definition of probability: “Probability is a mathematical term for the likelihood that something will occur. It is the ability to understand and estimate the possibility of a different combination of outcomes.”

1. P(win)=\(\frac{1}{50}\)

2. P(not win)=\(1-\frac{1}{50}\)= \(\frac{49}{50}\).

3. odds in favor = \(\frac{P(E)}{1-P(E)}\)= \(\frac{P(win)}{1-P(win)}\) =\(\frac{\frac{1}{50} }{1-\frac{1}{50} } }\)= \(\frac{1}{49}\)

4. odds against = \(\frac{P(E')}{1-P(E')}\)= \(\frac{P(not win)}{1-P(not win)}\)= \(49\)

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The surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.

What is a rectangular prism?

A rectangular prism is simply a three-dimensional solid shape with six faces that are rectangles.

The surface area of a rectangular prism is the sum of the areas of all the faces.

The surface area of a rectangular prism is expressed as:

S.A = 2( wl + hl + hw )

where,

w is the width,

l is the length,

and h is the height;

Thus; A = 2( (24× 18) + (12×18) + (12× 24)

            = 2 ( 432 + 216 + 288 )

            = 2 × 936

            = 1,872 sq inches

Therefore, the surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.

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Answer:

Step-by-step explanation:

Given

To find

Solution

Answer:

7/10

Step-by-step explanation:

^

Answer:the tempature will be 22 degrees (i dunno if you measure in Farenheight or celcius so dunno)

Step-by-step explanation: because if the tempature

would rise it would be 22 whatever you measure with

The bias displayed by investors who consider the $60 price a bargain relative to the recent $100 price is: b) Anchoring

Anchoring bias refers to the tendency to rely heavily on the first piece of information encountered (the anchor) when making decisions or judgments. In this case, the initial anchor is the high price of $100, and investors are using that as a reference point to evaluate the $60 price as a bargain. They are "anchored" to the previous high price and are influenced by it when assessing the current value.

Anchoring bias is a cognitive bias that affects decision-making processes by giving disproportionate weight to the initial information or reference point. Once an anchor is established, subsequent judgments or decisions are made by adjusting away from that anchor, rather than starting from scratch or considering other relevant factors independently.

In the given scenario, the initial anchor is the high price of $100 per share for Walmart. When the price falls to $60 per share, some investors consider it a bargain relative to the previous high price. They are influenced by the anchor of $100 and perceive the $60 price as a significant discount or opportunity to buy.

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Answer:

8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+6^2=10^2

a^2=10^2-6^2

a^2=100-36

a^2=64

a=square root of 64

a=8

Value of x will be \(x=\frac{15}{a-b}\).

Equation given in the question → \(ax=15+bx\)

To find the value of 'x' in terms of a and b, we will simplify the given equation,

\(ax=15+bx\)

\(ax-bx=(15+bx)-bx\)

\(x(a-b)=15\)

\(x=\frac{15}{a-b}\)

           Therefore, Values to filled → Blank 1 = 15

                                                           Blank 2 = (a - b)

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The probability of getting a green ball and purple ball is 4/27

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and the equivalent in percentage is 100%.

Probability = sample space /Total outcome

total outcome = 4+3+2 = 9

For the first draw,

probability of picking a green = 4/9

for the second draw;

probability of picking a purple = 3/9 = 1/3

The probability of getting a green and a purple = 1/3 × 4/9

= 4/27

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The capacity of 1 thumb drive is 4 gigabytes and the capacity of 1 compact disk is 2 gigabytes.

The first step is to form the system of equations that represent the information in the question:

4x + y = 18 equation 1

4x + 3y = 22 equation 2

The elimination method would be used to determined the required values.

Subtract equation 1 from equation 2

2y = 4

y = 4/2

y = 2

Substitute for y in equation 1: 4x + 2 = 18

4x = 18 - 2

4x = 16

x = 16/4

x = 4

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The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

Let's use the following notation:

P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.

P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.

P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.

We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:

P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)

We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').

P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')

= 0.254 * 0.05 + 0.7653 * 0.95

= 0.7352

Now we can substitute the values into Bayes' theorem:

P(TB|NEG) = 0.254 * 0.05 / 0.7352

= 0.01725

Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

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You want to take $0.85 and multiply it by 3 for the 3 peaches and you get $2.55 then you do $3.50-2.55= $0.95

The probability P(GH) is 0%.

Since we know that,

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one.

Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur.

This is the fundamental probability theory, which is also utilized in probability distribution, in which you will learn about the possible results of a random experiment.

To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

Now to find the probability of GH,

We can see that there is no any poit G and H are showing in the given number line,

Therefore,

Favorable outcomes = 0

Since we know that,

Probability = number of favorable outcomes/total number of outcomes

Thus,

⇒ P(GH) = 0/total number of outcomes

Hence,

⇒ P(GH) = 0%

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The equation to find the number of players the team can bring to the tournament is xx = ( 2,143.50 - 888.50 )/62.75 and the number of players the team can bring to the tournament is 20.

An equation is a mathematical statement that shows that two or more mathematical expressions are equal.

Equations express the equality of mathematical expressions by using the equation mark (=).

The total amount raised for the tournament is $2,143.50

The price to rent a bus is $888.50.

The cost of budgeted meals per player is $62.75.

The number of players the team can bring to the tournament is:

xx = ( 2,143.50 - 888.50 ) / 62.75.

xx = ( 2,143.50 - 888.50 ) / 62.75

xx = 1,255 / 62.75

xx = 20

Therefore, the equation to calculate the maximum number of players the team can enter the competition is xx = ( 2,143.50 - 888.50 ) / 62.75.

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Answer:

49/120

Step-by-step explanation:

see image.

Simplify first. Then get a common denominator, this is 120 in this case. 120 is the smallest number that all the denominators (3 and 8 and 10) go into. To add fractions, add all the top numbers (numerators). Keep the same denominator. see image.

Answer:

\(\frac{-23}{120}\)

Step-by-step explanation:

\((\frac{3}{5}*\frac{-10}{9})+(\frac{-4}{5}*\frac{1}{-8})-(\frac{2}{5}*\frac{-15}{16})\\\\(\frac{1}{1}*\frac{-2}{3})+(\frac{-1}{5}*\frac{1}{-2})-(\frac{1}{1}*\frac{-3}{8})\\\\\frac{-2}{3} +\frac{1}{10} -\frac{-3}{8}\\\\\frac{-2}{3} +\frac{1}{10} +\frac{3}{8}\\\\\frac{-80}{120} +\frac{12}{120} +\frac{45}{120}\\\\\frac{-68}{120} +\frac{45}{120}\\\\\frac{-23}{120}\)

Hope this helps!