4. The difference log2 (3) - log2 (12) is equal to

The friend is referring to an empirical probability.

Empirical probability is based on observed data or outcomes from experiments or real-world events. In this case, the friend is flipping a coin multiple times and making an observation about the probability of getting a head based on the outcomes they have observed.

Theoretical probability, on the other hand, is based on mathematical calculations and assumptions. It involves using mathematical models or formulas to determine the probability of an event occurring. Theoretical probabilities are derived from mathematical principles and do not rely on observed data or experiments.

In the given scenario, the friend's statement that the probability of getting a head is e because he got heads is based on the observed data from the coin flips. The friend is using the observed outcomes to estimate the probability of getting a head. This estimation is a result of empirical probability, which is based on observations and experiments rather than theoretical calculations.

to know more about probability visit:

brainly.com/question/32117953

#SPJ11

Answer:

I believe the answer is about 34

Step-by-step explanation:

Answer:

first you subtract 2 from both sides

-6x>18

then you divide

-6 by 18 which is -3 and since you divided with a decimal that flips your sign so your answer is X<-3

Answer:

x<-3

Step-by-step explanation:

First, write the equation and subtract 2 on both sides.

-6x+2>20

     -2  -2

-6x>18

Divide both sides by -6.

-6x>18

/-6  /-6

x<-3

(Remember, we have to flip the sign when multiplying or diving by a negative.)

Hope this helps! Have an amazing day C:

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Randy needs 8 loads.

To find the answer on the question we have to follow the method of multiplication and division .

A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.

\(\frac{3}{4}\) kg of laundry is equal to 1 load.

\(\frac{3}{4}\) kg of laundry =  1 load

1 kg of laundry  =  \(\frac{1 * 4}{3}\) load ( following the method of division )

1 kg of laundry = \(\frac{4}{3}\) load

Randy has 6kg of laundry.

So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.

6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)

                         = 8 loads

Hence, Randy needs 8 loads.

Read more about multiplication :

https://brainly.com/question/26669440

#SPJ4

The corresponding value of x when p = 7 is x = 11.

Given the equation PV = 81 - x², where x represents the number of hundreds of canisters and p is the price of a single canister in dollars.

To find the corresponding value of x when p = 7, we substitute p = 7 into the equation:

7V = 81 - x²

Rearranging the equation:

x² = 81 - 7V

To find the corresponding value of x, we need to know the value of V. Without the specific value of V, we cannot determine the exact value of x.

However, if we are given additional information about V, we can substitute it into the equation and solve for x. In this case, if the value of V is such that 7V is equal to 81, then the equation becomes:

7V = 81 - x²

Since 7V is equal to 81, we have:

7(1) = 81 - x²

7 = 81 - x²

Rearranging the equation:

x² = 81 - 7

x² = 74

Taking the square root of both sides:

x = ±√74

Since x represents the number of hundreds of canisters, the value of x must be positive. Therefore, the corresponding value of x when p = 7 is x = √74, which is approximately equal to 8.60. However, it's important to note that without additional information about the value of V, we cannot determine the exact value of x.

Learn more about corresponding value here:

brainly.com/question/12682395

#SPJ11

what do you need help with?

The ratio that represents the tangent of ∠G in the given  right angled triangle GHI is found to be 13/85.

All right-angled triangles with as one of whose angles are similar if we fix an acute angle. As a result, the ratio between equivalent pairs of sides is the same in all such triangles are defined by trigonometric ratios.

The hypotenuse is the side that faces the right angle. We designate the leftover side as the adjacent and the side across as the opposite.

Given data:

ΔGHI is the right angled triangle at ∠I = 90°.

GI = 84, IH = 13, and HG = 85.

Then,

tanθ = opposite / adjacent.

tangent G = HI / GH

tangent G = 13/ 85

Thus, the ratio that represents the tangent of ∠G in the given  right angled triangle GHI is found to be 13/85.

Know more about trigonometric ratios

https://brainly.com/question/24349828

#SPJ1

Therefore by solving the question from the equation we get ,total money he has now is $(m+100)/2

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics. Equations range in complexity from straightforward addition-and-multiplication equations in mathematics through differential equations, exponential equations that use exponential expressions, and integral equations.

Here,

He got $m for his birthday

therefore he spent half the money the money left =m/2

and he got extra $50

Thus

total money he has now is = m/2 +50

or m+100/2

Therefore ,total money he has now is $(m+100)/2

To know more about equation, visit

https://brainly.com/question/12788590

#SPJ1

Inequalities help us to compare two unequal expressions. The statements that are correct are B, D, and E.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The complete question is:

Which statements are true about the linear inequality y >3/4 x – 2? Check all that apply.

-The slope of the line is –2.

-The graph of y >3/4 x – 2 is a dashed line.

-The area below the line is shaded.

-One solution to the inequality is (0, 0).

-The graph intercepts the y-axis at (0, –2)

-The slope of the line is 3/4. Thus, the first statement is false.

-The graph of y >3/4 x – 2 is a dashed line. The given statement is true.

-The area below the line is shaded. The statement is false.

-One solution to the inequality is (0, 0). The given statement is true.

-The graph intercepts the y-axis at (0, –2) The statement is true.

Hence, the statements that are correct are B, D, and E.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ1

The adjacent angles in the figure are given as follows:

<HAI and <IAE.

Two angles are classified as adjacent if they have a common vertex and a common side, but do not overlap.

Hence the adjacent angles in the figure are given as follows:

<HAI and <IAE -> common vertex of H, common side of AI.

For the remaining three pairs, they either do not have a common vertex, such as the last option, or do not have common sides, such as the middle two options.

More can be learned about adjacent angles at https://brainly.com/question/23748725

#SPJ1

The school building is 36ft tall.

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Chris is 6 feet tall and he casts a shadow that is 5 feet long

He measures that the shadow cast by the school building is 30 feet long

We can say the ratios will be same  6/h = 5/30

h =6 × 6 = 36 ft

Hence the school building is 36ft tall.

Learn more about Pythagoras' theorem, by the following link

https://brainly.com/question/231802

#SPJ1

Answer:

I think is the last one

.

.

.

.

.

.

.

.

.

.

.

.

.

.

Answer:

perfect squares

Explanation:

4, 9, 16 are all perfect squares. In math perfect square is an integer that is the square of an integer.

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

Know more about level of significance here:

https://brainly.com/question/30542688

#SPJ11

Answer:

Correct

The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.

The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.

Step-by-step explanation:

The Statement support the box plot are:

The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given:

For Player X

Minimum value = 3.5

Maximum value = 7.5

First Quartile = 4.5

Median = 5

Third Quartile = 6.5

For Player Y

Minimum value = 3.5

Maximum value = 7.5

First Quartile = 4

Median = 4.5

Third Quartile = 5

Thus, from the above data we can conclude that:

The interquartile range of the data for Music Player X is greater than the interquartile range of the data for Music Player Y.

Learn more about box- plot here:

https://brainly.com/question/12591498

#SPJ2

A function geom_jitter() could the analyst use to make the points easier to find.

The correct answer is an option (c)

In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

We need to find a function that could the analyst use to make the points easier to find.

We know that overplotting is caused due to discreteness in smaller datasets.

A  function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.

Whereas the function geom_point() adds a layer of points to given plot, which creates a scatterplot.

Therefore, geom_jitter() make the points easier to find.

Learn more about the scatter plot here:

https://brainly.com/question/29231735

#SPJ4

The complete question is:

A data analyst creates a scatterplot with a lot of data points. it is difficult for the analyst to distinguish the individual points on the plot because they overlap. what function could the analyst use to make the points easier to find?

a) geom_line()

b) geom_bar()

c) geom_jitter()

d) geom_point()

The probability of getting a single tails =

p = 1/2

The probability of not getting a single one =

q = 1 -p = 1/2

Now, using binomial theorem of probability:

The probability of getting exactly r = 4 tails in total n = 10 tosses =

(10 x 9 x 8 x 7)/4! * (1/2^4) * (1/2^6) = 105/2^9 = 20.51%

The answer of the given question based on the finding the m∠QTS from a circle with the measure of minor arc the answer is the measure of angle ∠QTS is 60° degrees.

In geometry, arc is  portion of a curve or  circle. It is defined as the part of the curve that is contained between two points, called endpoints, on curve. The length of  arc is  fraction of the circumference of  circle, determined by the measure of  central angle that subtends it.

An arc is typically denoted by  two endpoints, with  small arc or arc symbol above the two letters. For example, an arc with endpoints A and B would be denoted as "⌒AB" or "AB".Arcs can be classified based on their measure or  position of their endpoints.

An arc with measure less than 180 degrees is called  minor arc, while an arc with measure greater than 180 degrees is called  major arc. An arc with measure equal to 180 degrees is called semicircle.

Since arc QS is a minor arc, we know that angle ∠QTS is half the measure of arc QS. Therefore, we have:

m∠QTS = (1/2) m arc QS

m∠QTS = (1/2) (120°) [Substituting the given value of m arc QS]

m∠QTS = 60°

Therefore, the measure of angle ∠QTS is 60° degrees.

To know more about Angle visit:

https://brainly.com/question/30162248

#SPJ1

Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Hanna have to walk her bike for 1/12 mile to complete the loop .

In the question , it is given that

distance Hanna had to ride to complete the loop  = 11/12 mile

distance rode by Hanna before rest = 1/2 mile

distance rode by Hanna before flat tire = 1/3 mile

So the distance Hanna has to walk her bike to complete the loop = total distance of the loop - distance rode by Hanna before rest - distance rode by Hanna before flat tire .

On substituting the values from above we get ,

distance Hanna has to walk her bike to complete the loop = 11/12 - 1/2 - 1/3

taking the LCM of 12 , 2 and 3 as 12

we get ,

= 11/12 - 6/12 - 4/12

Simplifying further we get ,

= (11-6-4)/12

= (11-10)/12

= 1/12

Therefore , the distance Hanna have to walk her bike to complete the loop is 1/12 mile .

Learn more about Fractions here

https://brainly.com/question/28489230

#SPJ1

Answer:

1/6 = 0.1667

Step-by-step explanation:

sample space = 6

the probability of rolling a number equal to 1 = 1/6

The probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm is 0.01715.

A normal distribution is a probability distribution that has been symmetrical around this mean, with most observations clustering around the central peak and probabilities tapering off evenly in both directions.

Now, according to the question,

The formula for normal distribution is;

z = (x - μ)/(σ/√s)

x is the sample size (= 96)

μ = standard mean (= 92)

σ = standard deviation (= 10)

s = random sample (= 28)

Substituting all the values in the equation;

z = (96 - 92)/(10/√28)

z = 2.117

Now, calculate the probability;

P(X > 96) = 1 - P(X ≤ 96)

               = 1 - P(X ≤ 2.117)

               = 1 - 0.98285

P(X > 96) =  0.01715

Therefore, the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm is 0.01715.

To know more about the normal distribution, here

https://brainly.com/question/4079902

#SPJ4

The complete question is-

The reading speed of a second grade students in a large city is approximately normal with a mean of 92 words per minute and a standard deviation of 10 wpm. What is the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm?

384,000 bacteria would be present at the end of 7 hours if it doubles itself every hour.

Initial number of bacteria=3000

Number of bacteria at the end = initial number of bacteria * (base)ⁿ

where, n= number of hours

Number of bacteria at the end=3000*2⁷

                                                    =3000*128

                                                     =384,000

Therefore, there will be 384000 bacteria at the end of seven hour if the bacteria doubles itself every hour.

To find similar problems visit;

https://brainly.com/question/29432536

#SPJ4

Answer:

50 muffins

Step-by-step explanation:

20 : 40%

y : 100%

\(\frac{20}{y} :\frac{40}{100}\)

y · 40 = 20 · 100

40y = 2000

40y ÷ 40 = 2000 ÷ 40

y = 50

Answer:

50

Step-by-step explanation:

first you must find out how many muffins are in 1%, that will be .5 muffins which also meens that every 2% there will be 1 muffin. so we do 100 dived by 2 and you will get 50 which is the amount of muffins that will be made

Answer:

\(x = \frac{ - 63}{2} \: or \: - 31.5\)

Step-by-step explanation:

\( \frac{x}{7} - \frac{x}{9} = - 1\)

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

\( = > \frac{9x - 7x}{63} = - 1\)

\( = > \frac{2x}{ 63} = - 1\)

Now lets multiply 63 on both the sides.

\( = > \frac{2x}{ 63} \times 63 = (- 1) \times 63\)

\( = > 2x = - 63\)

Now lets divide both the sides by 2.

\( = > \frac{2x}{2} = \frac{ - 63}{2} \)

\( = > x = \frac{ - 63}{2} = - 31.5\)

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

for such more question on data set

https://brainly.com/question/27358262

#SPJ8