How to solve :

\(\frac{3x}{2-|x|} \leq 1\)

Answer:

x = 1; not extraneous

Step-by-step explanation:

Answer:

23 sessions

Step-by-step explanation:

345min (total) ÷ 15min (each session)

= 23 sessions

Answer:

0, 4, -3

Step-by-step explanation:

replace y with 0 and then fro the sketch I recommend you tomuse desmos good luck buddie

Yes, two samples can have the same range but different means. The range of a dataset is a measure of the spread or dispersion and is determined by the difference between the maximum and minimum values. The mean, on the other hand, represents the average value of the dataset.

To illustrate this concept, let's consider two different samples:

Sample 1: 1, 5, 6, 9, 10

Sample 2: 2, 4, 7, 8, 10

Both samples have a range of 9 (10 - 1).

However, the means of the samples are different. The mean of Sample 1 is

(1 + 5 + 6 + 9 + 10) / 5 = 6.2,

while the mean of Sample 2 is

(2 + 4 + 7 + 8 + 10) / 5 = 6.2.

Despite having the same range, the means differ between the two samples.

The range only considers the extreme values of the dataset, whereas the mean takes into account all values and provides an average measure. It is possible for the individual values within the samples to be distributed differently, resulting in different means, even if the range remains the same.

Therefore, the range and the mean are distinct measures that capture different aspects of the dataset. While it is possible for two samples to have the same range, they can still have different means based on the specific values and their distribution within each sample.

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The probability that he or she actually used steroids is 0.779.

The test is accurate 95% of the time when an athlete has taken steroids. It is 97% accurate when an athlete hasn't taken steroids. Suppose that the drug test will be used in a population of athletes in which 10% have actually taken steroids. Let's choose an athlete at random and administer the drug test.

Based on prior knowledge of conditions that might be related to the event, Bayes' theorem, which is named after Thomas Bayes and is used in probability theory and statistics, describes the probability of an event.

Using Baye's theorem:

P(steroids | positive) = P(steroids)*P(positive|steroids) / P(positive) = (0.10*0.95)/0.122 = 0.779

If the selected athlete passes the test, the probability that they used steroids: 0.779

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(complete question)

A company has developed a drug test to detect steroid use by athletes. The test is accurate 95% of the time when an athlete has taken steroids. It is 97% accurate when an athlete hasn’t taken steroids. Suppose that the drug test will be used in a population of athletes in which 10% have taken steroids. Let’s choose an athlete at random and administer the drug test.

Suppose that the chosen athlete tests positive. What’s the probability that he or she used steroids?

The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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The expected value of the bet is -15.693

According to the question we have been given that

If we draw a card with value 5 or less, we will be payed = 57

If failed to draws cards, we have to pay = 48

Now first we will find the probability of drawing cards with value less than or equal to 5.

Cards with value less than five are : 2,3,4,5

Total number of cards will be 16.

Probability = 16/52

Also number of cards with values greater than five is 36

Probability = 36/52

Thus the expected value of the bet will be

   = 57*(16/52) + (-48)*(36/52)    [ negative sign as we have to pay if we loose to draw the required card]

   = 17.538 - 33.231

   = -15.693

Hence the expected value is -15.693

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Answer:

4.75

Step-by-step explanation:

u = 10  a = -2  t = 0.5 (half)

need to work out u times t add 0.5 times a times t ^2

so 10 x 0.5 + 0.5 x -2 x 0.25

= 4.75

Answer:

s=4.5 m

Step-by-step explanation:

in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.

\(s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m\)

Answer:

TOO MANY

Step-by-step explanation:

so if people are playing with 2 people at a time then it would go like this...

it would start with 4 billion v.s. 4 billion.

then it would narrow down to 2 billion v.s. 2 billion.

then it would go down to 1 billion v.s. 1 billion.

then i would go down to 500 million v.s. 500 million.

then it would go down to 250 million v.s. 250 million.

Then it would go down to 125 million v.s. 125 million.

then it would go down to 62,500 v.s 62,500.

then it would go down to 31,250 v.s. 31,250.

then it would go down to 15,625 v.s. 15,625.

then it would go down to 7,812 v.s. 7812.

then it would go down to 3,906 v.s. 3906.

then it would go down to 1,953 v.s. 1953.

then it would go down to 976 v.s. 976.

then it would go down to 488 v.s. 488.

then it would go down to 244 v.s. 244.

then it would go down to 122 v.s. 122.

then it would go down to 61 v.s. 61.

then it would go down to 30 v.s. 30.

then it would go down to 15 vs 15.

then it would go down to 7 vs 7.

then it would go down to 3 vs 3.

then it would go down to 1 vs 1.

so it would take 22 matches if the matches were conducted like tournements.

The equation is b1 = 2Ah - b2

Note that the subject of formula is described as the variable that is made to stand alone on one of the equality sign.

From the information given, we have the equation as;

A = 1/2h(b1+ b2)

Such that the parameters are;

Now, make B1, the subject of formula;

cross multiply the values

2Ah = (b1+ b2)

collect the like terms

b1 = 2Ah - b2

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Answer: I calculated the value after 5 years to be 5,734.40 or 5,734

Step-by-step explanation:

Answer:

x<13

Step-by-step explanation:

x < 13 is the solution of the inequality; 6x + 11 > 7x - 2

A relationship between two expressions or values that are not equal to each other is called 'inequality'.

Given that, an inequality 6x + 11 > 7x - 2

On solving for x, we get,

6x + 11 > 7x - 2

6x + 11 +2 > 7x

13 > x

x < 13

Hence, x < 13 is the solution of the inequality; 6x + 11 > 7x - 2

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angle x= 77° because base angles on an isosceles triangle are the same.

hope that helped^^

The judge's certainty of the suspect's guilt should be around 37.9% based on the given probabilities and Bayes' theorem.

Based on the given information, we can calculate the probability of the suspect's guilt using Bayes' theorem.

Initially, the judge believed there was a 65% chance of the suspect's guilt. Let's represent this as P(G).

The new information is that there is an 85% chance that the criminal is left-handed. Let's denote this as P(L|G), where L represents left-handedness and G represents guilt.

We also know that 23% of the population is left-handed, which can be represented as P(L).

Now, we can use Bayes' theorem to calculate the new probability of guilt (P(G|L)) given the left-handedness information:

P(G|L) = (P(L|G) * P(G)) / P(L)

Plugging in the values, we have:

P(G|L) = (0.85 * 0.65) / 0.23

Calculating this, we find that P(G|L) is approximately 0.379 or 37.9%.

Therefore, with this new information, the judge should be approximately 37.9% certain of the guilt of the suspect.

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Answer:

x = 22

Step-by-step explanation:

(4x + 28)° = 116° (corresponding angles)

4x + 28 = 116

4x = 116 - 28

4x = 88

x = 88/4

x = 22

For x = 22 line a parallel to line b.

Step-by-step explanation:

8) x=23sin(48) =17.1m

9) x=11cos42=8.2ft

Answer:

208 should be multiplied by 13 to make it a perfect square.

The product will be 2704 and its square root is 52.

Step-by-step explanation:

I used excel to solve this.

In column A, I put numbers from 1 to 60.

In column B, I put the square of column A (these are our perfect squares).

In columns C I put column B divided by 208.

Then I looked for the first spot where column C produced an integer. It was on row 52.

The distance a ball rolls after t seconds is given by the formula: s(t) = 6t + 5t²Given an initial velocity of 6 m/s, and assuming the ball rolls down an inclined plane with no friction.

Then the ball is in freefall and the formula of the distance it travels after t seconds is:s(t) = 0.5gt² + vi(t)

Where g = acceleration due to

gravity = 9.8 m/s²

and vi = initial velocity = 6 m/s

Therefore, the formula of the distance it travels after t seconds is: For instance, after 1 second, the ball travels a distance of:s(1) = 4.9(1)² + 6(1) = 10.9 m Therefore, the formula for the distance a ball rolls down an inclined plane after t seconds is s(t) = 4.9t² + 6t.

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To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

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Answer:

X=2, please mark me brainliest

Step-by-step explanation:

−5(4x−2)=−2(3+6x)

(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)(Distribute)

−20x+10=−6+−12x

−20x+10=−12x−6

Step 2: Add 12x to both sides.

−20x+10+12x=−12x−6+12x

−8x+10=−6

Step 3: Subtract 10 from both sides.

−8x+10−10=−6−10

−8x=−16

Step 4: Divide both sides by -8.

−8x

−8

=

−16

−8

x=2

Answer:it is C

Step-by-step explanation:

The equation \(y - 27 \geq 13\) has a solution \(y\geq 14\)

Data;

The given inequality is

\(y - 27 \geq -13\)

Collect like terms on the equation and solve for y

\(y -27\geq -13\\y \geq -13+27\\y \geq 14\)

The value of y in the equation is 14

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In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

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The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.

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Answer:

3.14

Step-by-step explanation:

The formula for the area of a circle is \(\pi r^2\), where r is the radius. In this circle, the area would therefore be \(3.14\cdot 2^2=12.56\). However, since this is only a quarter circle, you need to divide the area by 4, meaning that the area of this shape is 3.14 square units. Hope this helps!

Answer:

π

Step-by-step explanation:

calculate the the full circle: A = π*\(r^{2}\) = π*\(2^{2}\) = π*4 (the area of the full circle)

you've got 1/4 or the circle according to the picture, so divide the area of the full circle with 4:

(π*4)/4 = π

The probability that the student chooses both math and Spanish is 0.5.  

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that professor is deciding which classes to teach in the fall.

The chooses math 341 with probability 3/7 and math 340 with probability 1/4 and neither class with probability 1/2.

P(M) = 3/7

P(S) = 1/4

P (M' ∩ S') = 1/2

According to De-Morgans law

P (M ∩ S) = P(M) + P(S) - P (M' ∩ S')

P (M ∩ S) =1/2

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Answer:

Equation of Parallel Line:  y = -7x - 44

Equation of Perpendicular Line:  y = x/7 - 8/7

Step-by-step explanation:

1) Parallel

Substitute (-6, -2) to find C

-2 = -7(-6) + c

-2 = 42 + c

-2 - 42 = c

c = -44

y = -7x -44

2) Perpendicular

Negative reciprocal

Substitute (-6, -2) to find C

-2 = 1/7(-6) + c

-2 = -6/7 + c

-2 + 6/7 = c

c = -8/7

y = 1/7x - 8/7 or

y = x/7 - 8/7

If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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The expected value per ticket from the standpoint of the charity is $0.27.

The expected value represents the average amount that the charity earns by selling one ticket. In this case, the charity plans to sell 1100 tickets at a cost of $1.00 each, resulting in a total revenue of $1100.00. Since there is only one prize worth $400.00, the charity's net earnings will be $700.00 ($1100.00 - $400.00) if all the tickets are sold.

To calculate the expected value per ticket, we divide the net earnings by the number of tickets sold, which is $0.64 ($700.00 / 1100). Rounded to the nearest cent, the expected value per ticket is $0.27.

The expected value is a useful concept for assessing the potential outcomes of an event. In this context, it helps the charity estimate the average amount they can expect to earn per ticket sold. It is important to note that the expected value is not necessarily the actual amount that will be earned from each ticket, as individual outcomes can vary. However, it provides a baseline estimate based on probabilities and can help the charity make informed decisions about their fundraising efforts.

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