Is 6/12 equivalent to 1/2?

Answer: Probability = 90%

Step-by-step explanation:

In a drawer we have:

2 black shirts

7 white shirts

11 gray shirts

If we would randomly pick a shirt, what are the chances of it not being black?

To do that, we first need to calculate the probability of getting a black shirt.

To calculate that, we need to divide the number of black shirts by the total number of shirts.

Black shirts = 2

Total shirts = 2 + 7 + 11 = 20

That will be 2 black shirts divided by 20.

We get 0.1

If we multiply 0.1 by 100%, we get a 10% chance to get a black shirt.

Now, to know to chances of not getting a black shirt, we just need to subtract 10% from 100%.

And that will be 90% chances of not getting a black shirt.

Probability = 90%

Hope I Helped!

The resulting equilateral triangle will have each of its vertices touching the circumference of the circle, making it inscribed.

To inscribe an equilateral triangle in a circle, follow these steps:

Start with a blank sheet of paper or a drawing board.

Draw a circle with a compass by placing the compass point at the center and drawing a circle that defines the desired size of the triangle.

Place the compass point on the circumference of the circle and draw an arc that intersects the circle at two points.

Without adjusting the compass width, place the compass point on one of the intersection points and draw another arc that intersects the circle.

Repeat the previous step from the second intersection point, drawing an arc that intersects the circle.

The points where the arcs intersect the circle will form an equilateral triangle inscribed within the circle.

Connect the three points to complete the equilateral triangle.

Erase any unnecessary construction lines, leaving only the equilateral triangle inscribed within the circle.

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The given equation is:\($$ \log_4(x+3) + \log_4(x-3) = 2 $$\)Writing the given equation in exponential form:

\($$ \log_4(x+3) + \log_4(x-3) = 2 $$$$ \Rightarrow 4^2 = (x+3)(x-3) $$$$ \Rightarrow 16 = x^2 - 9 $$\)

Solving the above equation\(:$$ \Rightarrow x^2 - 9 = 16 $$$$ \Rightarrow x^2 = 25 $$$$ \Rightarrow x = \pm 5 $$\)

For the given equation to be valid, x must be greater than 3.

Hence, the solution is \($x = 5$.\)

Hence, the solution of the given equation is x = 5.

Note:As we know that logarithmic functions are the inverse of exponential functions.

Hence, any exponential equation can be written in logarithmic form and vice versa.

Also, while solving logarithmic equations we need to keep in mind that the value of the argument must be positive.

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The position of -1 and > -1 it would be located on the right side of -1 on the number line

In the above question,

We need to indicate > -1 about the positions of and −1 on the number line

The horizontal straight lines in mathematics known as number line are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. This line continues forever at both ends.

So, if we look at the position of -1 and > -1 it would be located on the right side of -1 on the number line

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The if `a^2+b^2=0`, then `a=0` and `b=0`. And, if `a=0` and `b=0`, then `a^2+b^2=0`. Hence, we have proved that `a^2+b^2=0` if and only if `a=0` and `b=0`.

Given that `a^2+b^2=0`, show that `a=0` and `b=0`.To show that `a=0` and `b=0` if and only if `a^2+b^2=0`.Let us assume that `a=0` and `b=0`. Substituting these values in `a^2+b^2=0`, we get `0+0=0`. Therefore, `a^2+b^2=0` is satisfied when `a=0` and `b=0`.Now, let us assume that `a^2+b^2=0`.

This implies that `a^2 = -b^2`. Since `a^2` is always non-negative, `-b^2` must be non-negative as well, which can only happen when `b=0`. Substituting `b=0` in the given equation, we get `a^2+0=0`, which implies that `a=0`.Therefore, if `a^2+b^2=0`, then `a=0` and `b=0`. And, if `a=0` and `b=0`, then `a^2+b^2=0`. Hence, we have proved that `a^2+b^2=0` if and only if `a=0` and `b=0`.

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The number of stuffed bears with Su=153181

Total number of bears Erin has=555555

The number of bears Erin took out=777

Remaining number of bears with Erin=555555-777

                                                                 =554778

Now, these remaining stuffed bears are to be divided equally among 333 sisters.

So, each sister gets \(\frac{554778}{333}\)=\(1666\) stuffed bears.

To find the number of stuffed bears Su has, find the sum of her share of stuffed bears and the number of stuffed bears she already had.

Number of stuffed bears Su already has=151515

Total number of bears she has at present=151515+1666

                                                                     =153181

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The statement "Within any group of 50 persons, there must be at least 6 who were born in the same month" is True. The Pigeonhole Principle is a fundamental principle in combinatorics that states that if there are more pigeons than pigeonholes.

According to the Pigeonhole Principle, which is a basic principle of combinatorial mathematics, if there are more items (or "pigeons") than there are available places to put them (or "pigeonholes"), then at least one of the pigeonholes must contain more than one item. In the context of the question, there are 12 months in a year, and only 50 persons in the group. Since there are more persons than there are months, by the Pigeonhole Principle, there must be at least one month with more than one person born in it.

Therefore, there must be at least 6 persons who were born in the same month in any group of 50 persons.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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(a) The probability that both score more than 175 is 0.12 and (b) the probability that Thomas scores more than 175 and Sarah scores higher than Thomas is 0.04

If the occurrence of one event say A does not affect the occurrence of event B, then the two events are said to be independent such that;

P (A ∩ B) = P (A) × P (B)

a:

consider; event A represents Sarah scoring more than 175 and event B represents Thomas scoring more than 175

Thus, P(A) = Probability that Sarah scores more than 175 = 0.6

P(B) = The probability that Thomas scores more than 175 = 0.2

Since the scores are independent, therefore the probability that both Sarah and Thomas score more than 175 is,

P (A ∩ B) = (0.6) × (0.2)

P (A ∩ B) = 0.12

b:

If the occurrence of one event say A affects the occurrence of another event say B, then the two events are said to be dependent on each other such that;

P (A ∩ B) = P (B) × P (A|B)

As; P(B) = The Probability that Thomas scores more than 175 = 0.2

and P(A|B) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.2

Therefore;

P (A ∩ B) = (0.2) × (0.2) = 0.04

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Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

Answer:

90°

Step-by-step explanation:

follow the tangent rule.

Answer:

The S&P 500 index had a nominal 12-month return of 18.3% at the end of ... the rate of inflation was: Over the last 12 months, the consumer price index ... Expect a revisit to turmoil - an end to the relative calm energy markets of the past 12 months ... From June 30 through August 31, the value of the index decreased by 4.4% ...

Step-by-step explanation:

hope this help my best friend

and check your email

Answer:

Hi... Your answer is... C=5

SPC is widely used in manufacturing, healthcare, and other industries to improve quality and efficiency.

The process you are referring to is called Statistical Process Control (SPC), which involves monitoring and analyzing a process to ensure it is within the acceptable range of variation. This is done by comparing the current amount of outcome variation against the established outcome specifications, allowing for corrective action to be taken if necessary. SPC is widely used in manufacturing, healthcare, and other industries to improve quality and efficiency.

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Process control is based on comparing the current amount of outcome variation against outcome specifications.

Process control is a management approach that involves monitoring and adjusting a process to ensure that it meets its intended outcome specifications.

The goal of process control is to maintain consistent outcomes over time, despite natural variation in the inputs or other factors that may affect the process.

In order to achieve this goal, process control typically involves monitoring the process using statistical methods and comparing the current level of variation in the process outcomes against the desired outcome specifications.

If the variation is within acceptable limits, the process is considered to be under control.

If the variation is outside of acceptable limits, the process may require adjustment or other corrective action to bring it back into control.

Overall, process control is an important tool in quality management, manufacturing, and other fields where consistent outcomes are critical to success.

By monitoring and adjusting processes over time, organizations can ensure that their products and services meet the needs and expectations of their customers, while minimizing waste, errors, and other sources of variation.

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Answer: d. No, because the study was not taken from a random sample of scholarship athletes.

Step-by-step explanation:

Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.

Answer:

hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may  be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.

Answer:

The answer is m = 8 + 2p.

m = 2n

n = 4 + p

m = 2(4 + p) = 8 + 2p

Therefore, the only formula that is also true is m = 8 + 2p.

Step-by-step explanation:

Answer:

From the given equation-

4(3p+2)−5(6p−1)=2(p−8)−6(7p−4)

⇒12p+8−30p+5=2p−16−42p+24

⇒−18p+13=−40p+8

⇒−18p+40p=8−13

⇒22p=−5

⇒p=

22

−5

.

Step-by-step explanation:

basicly what I said

Answer:

112

Step-by-step explanation:

Answer:

177

Step-by-step explanation:

Answer: a_10 = 177147/65536. Write the general term through the pattern:: a_n = 36 3/4 n - 1 Substitute and calculate:: a_10 = 177.

the probability that a positive integer less than 100 picked at random has all distinct digits is 90.

He has 99 positive integers less than 100.

The integers that do not have all distinct digits have the same digit twice.

11, 22, 33, 44, 55, 66, 77, 88, 99

There are 9 integers that do not have distinct digits, therefore there are 99-9 integers that do.

Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.

A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final results of an experiment. Getting a Heads whilst tossing a coin is an event.

Simple probability is the calculation of an outcome or the chance of an event ever taking place. coverage companies use possibility statistics to determine the possibilities of having to pay out a declare. A simple chance is calculated by way of dividing a particular outcome through all of the feasible outcomes.

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Answer:Subtract  

from both sides of the equation

from both sides of the equation

Multiply all terms by the same value to eliminate fraction denominators

Answer:

x= -88

Step-by-step explanation:

We move all terms to the left:

x/4+9- (-13)=0

Then we add all the numbers together, and all the variables:

x/4+22=0

We multiply all the terms by the denominator:

x+22*4=0

We all all the numbers together, and all the variables:

x+88=0

We move all the terms containing x to the left, all other terms to the right:

x= -88

Answer:

l is 6/10 w is 4/10

Step-by-step explanation:

width = 2/3 length and perimeter = 2l +2w which is 2ft you can sub w for 2/3l 2l + 2(2/3l) =2 so 6/3l +4/3l =2 10/3l =2 10l = 6 l = 6/10 w = 2/3l 2/3(6/10) is 4/10

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the areas.

Let the length be x and width be y, hence we get the relation as,

2(l+b) = perimeter, here l=x and b =y

2(x+y) = 2 feet, but since y = 2/3x

so we get as,

2(x+(2/3)*x)= 2 ft

===> 2x + (4/3)*x = 2 ft

===> taking the lcm

===> 6x + 4x = 6 ft

===> x = 6/10 = 0.6 ft

so x = 0.6 ft and y = (2/3)*(6/10) = 2/5 ft

hence, x = 3/5 feet and y = 2/5 feet

Answer: D. Rolling a 6 on the number cube and spinning a 7 on the spinner.

This is assuming that neither device touches one another when being used. The outcome of the dice will have a probability 1/6 since there is 1 side we want out of 6 total. The spinner's probability is 1/n where n is the number of sections (each section being equal in area).

Choices A and B are dependent events because of the phrasing that the item is not put back. The second selection's probability will be altered if you do not replace the first selection. So we can rule these out.

Choice C is dependent because if you own cows, then you are most likely on a dairy farm. The same is even more true in reverse because a dairy farm is defined to be one where cows are present to produce dairy products. If you know one event is true, then it leads to a higher probability the other event is true. One event is linked to the other.

Rolling a 6 on a number cube and spinning a 7 on a spinner is an example of independent events, so the correct answer is D.

Two events are understood to be independent when the fact that one of them occurs does not affect the probability that the other will also occur.

Thus, there is no relationship, neither of causality nor of result, between the two situations, which means that they do not affect each other.

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If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should  record for Year 2 is: $1,000.

Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the  Amortization expense using this formula

Amortization expense = New overhead lighting fixtures / 2 years

Let plug in the formula

Amortization expense =  $2,000 /2

Amortization expense = $1,000

Therefore the  Amortization expense  is the amount of $1,000.

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The complete question:

On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?

Answer:

4/9 or 0.44

Step-by-step explanation:

Two sticks : x and 1-x

Find the probability that \(\frac{x}{1-x}\)  less than \(\frac{4}{5}\)  

\(P( \frac{x}{1-x} < \frac{4}{5} )\) = 4/9

attached below is the detailed solution

The five values in a summary are the median, the lower and upper quartiles, the maximum and minimum values in the data set. Minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value are all listed together in this sequence.

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The correct answer is results of the memory test.

Given that,

Dr. Huang asked the healthy volunteers in a group to read a chapter for an hour. The other half of the attendees spent 15 minutes studying. Dr. Huang next asked participants to recall specifics from the paragraph in a test.

To find :what was the dependent variable ?

It is something on which other elements depend. The test score for a instance, may be the dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.

Therefore, the correct answer is results of the memory test.

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Answer:

-9y+-13x

Step-by-step explanation:

add all the x's and just leave -9y