a machine fills boxes at a constant rate at the end of 35 minutes it has filled 5 boxes which table represents the relationship between the number of minutes the minutes fills boxes and the number of boxes it has filled.​

Considering the parameters of the normal distribution for American men's heights, it is found that:

a) The percentage greater than 74 inches is: 2.5%.

b) The proportion between 64 and 71.5 inches is: 0.815.

The z-score of a measure X of a variable that has mean \(\mu\) and standard deviation \(\sigma\) is given by the following equation:

\(Z = \frac{X - \mu}{\sigma}\)

In the context of this problem, the mean and the standard deviation of the heights of American men are given as follows:

\(\mu = 69, \sigma = 2.5\)

The proportion of heights that is greater than 74 inches is one subtracted by the p-value of Z when X = 74, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (74 - 69)/2.5

Z = 2.5

Z = 2.5 has a p-value of 0.9772.

1 - 0.9772 = 0.0228, hence the percentage is of 2.28%. Using the Empirical Rule, this percentage is rounded to 2.5%.

The proportion of heights between 64 inches and 71.5 inches is the p-value of Z when X = 71.5, subtracted by the p-value of Z when X = 64, hence:

X = 71.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (71.5 - 69)/2.5

Z = 1

Z = 1 has a p-value of 0.84. (rounded with the Empirical Rule).

X = 71.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (64 - 69)/2.5

Z = -2

Z = -2 has a p-value of 0.025. (rounded with the Empirical Rule).

Hence the proportion is:

0.84 - 0.025 = 0.815.

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The percent of students that preferred alternative ​music is 23.7%

The music type and the preference are given as:

Music Preferences

Rap            945

Alternative 462

Rock and Roll 275

Country         168

Jazz              15

Other          85

From the above table, we have:

Alternative = 462

Total = 945 + 462 + 275 + 168 + 15 + 85

Total = 1950

The percentage is then calculated as:

Percentage = Alternative/Total * 100%

This gives

Percentage = 462/1950 * 100%

Evaluate

Percentage = 23.7%

Hence, the percent of students that preferred alternative ​music is 23.7%

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The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Answer:

there is no solutions.

I hope this helps!

:D

Answer: 216

Step-by-step explanation:its just 6x6x6

Answer:

8,855

Step-by-step explanation:

The number of possible orders is 2,30,230.

Combinations are ways to choose things from a collection where the order of the choices is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining the words indicates "Selection of things," where the order of the items is irrelevant.

Given total numbers of flavours = 26

number of dip = 6

Combinations allows us to create various sets of x components from a total of n elements, where their order is irrelevant and no member is repeated.

Combinations can be mathematically stated as:

ⁿCₓ = \(\frac{n!}{(n - x)!x!}\)

we have n = 26

and x = 6

ⁿCₓ =  \(\frac{n!}{(n - x)!x!}\)

²⁶C₆ = \(\frac{26!}{(26 - 6)!6!}\)

26! = 26 x 25 x 24 x 23 x 22 x........ x 1

6! = 6 x 5 x 4 x 3 x 2 x 1

²⁶C₆ = 26!/(20!6!)

²⁶C₆ = 26 x 25 x 24 x 23 x 22 x 21 x 20!/(20!6!)

²⁶C₆ = 26 x 25 x 24 x 23 x 22 x 21/(720)

²⁶C₆ = 2,30,230

Hence the numbers of orders are 2,30,230.

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test

more updates after image upload

Answer:

1/2

Step-by-step explanation:

List the possibilities

b b g

b b b

b g b

b g g          two out of four have oldest two boys    2/4 = 1/2

\(\qquad\qquad\huge\underline{{\sf Answer}}♪\)

Let's solve for x ~

\(\qquad \sf  \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2} \)

\(\qquad \sf  \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2} \)

\(\qquad \sf  \dashrightarrow \:2 \sin(x) = \sqrt{2} \)

\(\qquad \sf  \dashrightarrow \: \sin(x) = \sqrt{2} \div 2\)

\(\qquad \sf  \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} } \)

\(\qquad \sf  \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad\)

・ ．━━━━━━━†━━━━━━━━━．・

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

A. P = 50,200(1 + 0.09)2

Answer:

P = 50200(1+0.09)²

Step-by-step explanation:

To find the answer to this question we use the equation new value = original value x \(d^{n}\), where d is the multiplier

We are told that our original value is 50200 and to find the multiplier we have to do 1 + 0.09. This is because the population is increasing by 9% which as a decimal is 0.09!

This means that our equation would be P = 50200(1+0.09)²

Hope this helps, have a lovely day! :)

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

Check the picture below.

\(\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{7\times 7}{49}\\ V=82 \end{cases}\implies \begin{array}{llll} 82=\cfrac{49h}{3}\implies 246=49h\implies \cfrac{246}{49}=h \\\\\\ 5.02\approx h \end{array}\)

option(1), option(2) and option(3) are correct they can be used to prove LMNO a rhombus.

According to the figure attached, we have to select all the options which help us to conclude that LMNO is a rhombus.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.

The properties of rhombus are:

1) All sides of a rhombus are congruent (equal).

2) Diagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other.

3) Opposite angles are equal and the opposite sides are parallel.

4) Adjacent angle are added up to 180°.

Now, as we look at the options given to us in the question then,

option(1), option(2) and option(3) are correct.

Therefore, option(1), option(2) and option(3) are correct they can be used to prove LMNO a rhombus.

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Answer:

is 9

Step-by-step explanation:

9 x 9 = 81

yes, the answer is 9. ,,,,

Answer:

70 + (-30) + 2 + (-9) + 0.3 + (-0.1) = [70 + (-30)] + [2 + (-9)] + [0.3 + (-0.1)]

Answer:

70 + (-30) + 2 + (-9) + 0.3 + (-0.1) = [70 + (-30)] + [2 + (-9)] + [0.3 + (-0.1)]

Step-by-step explanation:

same answer from edmentum

Answer:

No, because the correlation coefficient is closer to 0 than to 1, which indicates a weak association between the variables.

Step-by-step explanation:

Answer is correct from Plato.

No, because the correlation coefficient is closer to 0 than to 1 , which indicates a weak association between the variables.

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

Given:

Charlie found the relationship between the number of clues, x, and the time required to complete the puzzle, y, is modeled by the equation

y = 0.376x + 15.48,

and the correlation coefficient for the data is 0.219.

A correlation coefficient that is quite near to zero but may be either positive or negative suggests that there is little to no link between the two variables.

If the correlation coefficient is near to 1, it indicates that the two variables are positively correlated, with rises in one of the variables being accompanied by increases in the other.

And here, r = 0.219

Which is close to zero than one.

Therefore, the line is not best fit to be used to make reliable predictions about the time it takes Charlie to complete a crossword puzzle

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Answers:  1)  " 2ab ".
                2) "  2xz ".

________________________

Step-by-step explanation:

ab + ba = ab + ab = 1ab + 1ab = (1+1)*ab = 2ab .

xz +  zx = xz  + xz = 1xz  + 1xz = (1+1)*xz  = 2xz.

________________________

D. y=2sec[2(x+pi )]-2

Step-by-step explanation:

Answer:

For x<1, answer would be A.

Step-by-step explanation:

Since the less than sign doesn't have a line under it "making it less than or equal to" the dot on the graph is not shaded, and if you simply read the inequality, x is less than 1, so it goes in the direction less than 1.

The graph of y=-3x-1 is given in the attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is  y=-3x-1

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

In the given equation slope is -3.

Let us find few values of x and y.

x    0    1    2     3    4

y    -1   -4   -7    -10  -13

Hence, the graph of y=-3x-1 is given in the attachment.

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Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

The z-score for the lowest final grade for a freshmen is given as follows:

Z = -1.83.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 74.38, \sigma = 4.445, X = 66.25\)

Hence the z-score for the lowest final grade for a freshmen is obtained as follows:

Z = (66.25 - 74.38)/4.445

Z = -1.83.

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Work Shown:

r = 6 = radius

h = 9 = height

\(V = \text{volume of cylinder}\\\\V = \pi*r^2*h\\\\V = \pi*6^2*9\\\\V = \pi*36*9\\\\V = \pi*324\\\\V = 324\pi\\\\\)

Answer:

x² + y² = 49

Step-by-step explanation:

The circle being centred at the origin simplifies things a lot.  Also, given an x-intercept point makes it easy to find the origin.

The equation for a circle is:

(x - x₁)² + (y - y₁)² = r²

Where (x₁, y₁) is the centre point of the circle.

In this case, the centre of the circle is (0, 0), giving us:

x² + y² = r²

We are told that the circle intercepts (-7, 0), which tells us that it has a radius of 7.

We can simply plug that into the given equation and say:

x² + y² = 7²

x² + y² = 49

***NOTE***

This is not part of the answer to the question, just an expansion of it.

Generically speaking, The equation for a circle is:

(x - x₁)² + (y - y₁)² = r²

Which applies when the centre of the circle is not at the origin.  For example, if the given circle was centred around the point (6, 8), with the same radius of 7, then the circle's equation would be (x - 6)² + (y - 8)² = 49.

The other complication that could show up is if the given border point does not have the same x or y coordinate as the circle's centre.  For example, if we are given a centre point of (-4, 6) and a border point of (-1, 2), we would first need to use the Pythagorean theorem to find the circle's radius:

r² = (x - x₁)² + (y - y₁)²

r² = (-4 - (-1))² + (6 - 2)²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

We can then plug that into the proper equation, giving us:

(x + 4)² + (y - 6)² = 25

You can also expand and group terms to express that in general form:

x² + 8x + 16 + y² - 12y + 36 = 26

x² + y² + 8x - 12y  + 26 = 0

Again, note that this part of the answer is not related to the original question, but an expansion on it.

Answer:

$11/hr

Step-by-step explanation:

$319 divided by 29 hours she worked= getting paid 11/hr

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.

given

The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.

Calculating the sample proportion is necessary:

The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:

P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031

Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:

\(z = (0.476 - 0.34) / 0.031 = 4.39\)

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

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Answer:

13

Step-by-step explanation:

AB = 20

DE =12

Since AB and DE bisect each other, therefore:

AC = CB = ½(AB)

AC = CB = ½(20)

AC = CB = 10

Also,

DC = CE = ½(DE)

DC = CE = ½(12)

DC = CE = 6

Since F is the midpoint of DC, therefore:

FC = ½(DC)

FC = ½(6)

FC = 3

Find the value of FC + CB. Plug in the values of FC and CB:

3 + 10 = 13