You pick two marbles from a bag with 5 blue marbles, 3 red marbles, and 2 green marbles. You pick the second marble without replacing the first one. Find each probability.

P(red then blue)
P(two blues)
P(green then yellow)

Answer:

Option A, $65,280

Step-by-step explanation:

The volume of the tank is,

12×20×15+40×(50-15)×12

= 3600+16800

=20400 cubic meters

For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,

20400×$3.20

= $65,280

Answered by GAUTHMATH

The variability of these data is low, as the range is only 1.

The researcher recorded the following data: 4, 4, 4, 4, and 3. To describe the variability of these data, we can use the term "range."

The range is the difference between the highest and lowest values in a data set. In this case, the range would be 4 - 3 = 1.

Therefore, the variability of these data is low, as the range is only 1.

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Turning of head is rooting reflex.

Reflex is defined as the action which is performed without thought. In other words, it is an unconscious behaviour or involuntary movement. Newborns have different reflexes such as rooting reflex, moro reflex, stepping reflex, tonic neck reflex and grasp reflex.

Rooting reflex acts on touch. Based on this, babies feed themself. They start sucking when the roof of their mouth is touched. Moro reflex occurs on sudden sound or movement of high intensity. Tonic neck reflex results in fencing position of baby. Grasp reflex is seen when baby closes their fingers and stepping reflex concerns legs.

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Answer:

  C.  51 -10√2

Step-by-step explanation:

You want the square of 5√2 -1.

The square of 5√2 -1 can be found using the distributive property.

  \((5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}\)

Answer:

5 minutes or 1/12 of an hour.

Step-by-step explanation:

3/4 of an hour is 45 minutes.

2/3 of an hour is 40 minutes.

45-40 = 5 minutes or 1/12 of an hour.

Answer:

a) 7x words

b) 1000/x days

c) 15000 + 10x words

Step-by-step explanation:

The best way to do this would be to plug in real numbers to see how each situation would play out.  For example, for part a, let's say he learns 20 new words each day.  One week has seven days, so that would be 20 x 7, which is 140 words.  You multiply the # of days by the # of words, which is x.

For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days.  You divide the # of new words he's trying to reach by the # of words a day.

For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).

6. Unit rate (constant of proportionality) for Sam = 10 miles hour.

Using (0, 0) and (2, 18) unit rate for Bobby = 9 miles hour.

So, Sam cycled faster.

7. Unit rate (constant of proportionality) of Pauli Pizzeria = $15 per pizza

Leo's unit rate = 48/4 = $12 per pizza.

Pauli Pizzeria takes in more money per pizza per.

The constant of proportionality is a value that relates two quantities that are directly proportional to each other. In other words, if two quantities x and y are directly proportional, then their relationship can be expressed as:

y = kx

where k is the constant of proportionality.

Therefore:

6. Unit rate (constant of proportionality) for Sam = 20/2 = 10 miles hour.

Using (0, 0) and (2, 18) unit rate (constant of proportionality) for Bobby = (18 - 0) / (2 - 0) = 18/2 = 9 miles hour.

So, Sam cycled faster.

7.  unit rate of Pauli Pizzeria = $15 per pizza since the equation, y = 15x, shows that the constant of proportionality is 15.

Using a point on the graph of Leo, (4, 48), unit rate = 48/4 = $12 per pizza.

Pauli Pizzeria takes in more money per pizza per.

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Answer:

Step-by-step explanation:

25x6

The dividing by 0.5 is not the same as dividing by 2 , because 0.5 and 2 are different numbers  .

Let us understand the Division with the help of example ;

let the number be 10 ;

first we divide the number 10 by 0.5 ;

this can be written mathematically as ⇒ \(\frac{10}{0.5}\)  ;

⇒ \(\frac{10}{\frac{1}{2} }\) = \(10\times2\) = 20 ;

So , on dividing 10 by 0.5 , we get the answer as 20 .

Second , the number 10 is divided by 2 ;

this can be written mathematically as ⇒ \(\frac{10}{2}\) ;

⇒ \(\frac{10}{2 }\)  = 5  ;

So , on dividing 10 by 2 , we get the answer as 5  .

Therefore , dividing by 0.5 is not same as dividing by 2 .

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Answer:

what it means ,if there is already ans

the answer is B your welcome

Answer:

Choice D: A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 times as far as the rabbit.

Step-by-step explanation:

Ok if I have to explain this, this might be the only way.

(rabbit)(rabbit)

(Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo) (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo) (Kangaroo)(Kangaroo)   (Kangaroo)(Kangaroo)

I know this is bad but this shows how many feet the rabbit and kangaroo had jumped. The rabbit jumps twice, but the kangaroo jumps 8 more times than the 2 times the rabbit had jumped.

Total time Olumide spends practicing piano is 40 minutes.

For every five minutes of piano practice, Olumide spends 8minutes practicing guitar.

Total time he spends practicing guitar = 64 minutes

We need to divide 64 by 8 to get the number of times he plays guitar.

The number of times he plays guitar = 64 / 8 = 8

According to question, he plays guitar after every piano practice.

So, The number of times he plays piano = The number of times he plays guitar = 8

Each time he practice piano for 5 minutes. So,

Total time he spends practicing piano = 8 × 5 = 40 minutes.

Total time Olumide spends practicing piano is 40 minutes.

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In summary: Mean (μ): 120, Standard deviation (σ): 6.93, Minimum usual value (μ - 2σ): 106.14 and Maximum usual value (μ + 2σ): 133.86

To find the mean mu μ of the binomial distribution, we use the formula mu = n*p. Therefore, mu = 200*0.6 = 120.

To find the standard deviation sigma σ, we use the formula sigma = sqrt(n*p*(1-p)). Therefore, sigma = sqrt(200*0.6*0.4) = 6.93.

Using the range rule of thumb, we can estimate the minimum usual value by subtracting 2 times the standard deviation from the mean, and the maximum usual value by adding 2 times the standard deviation to the mean. Therefore, the minimum usual value is mu - 2*sigma = 120 - 2*6.93 = 106.14, and the maximum usual value is mu + 2*sigma = 120 + 2*6.93 = 133.86.

So, in summary, the mean mu μ of the binomial distribution is 120, the standard deviation sigma σ is 6.93, the minimum usual value mu minus 2 sigma μ−2σ is 106.14, and the maximum usual value mu plus 2 sigma μ+2σ is 133.86.
For a binomial distribution, the mean (μ) and standard deviation (σ) can be calculated using the formulas:

μ = n * p
σ = √(n * p * (1 - p))

Given n = 200 and p = 0.6, we can find μ and σ:

μ = 200 * 0.6 = 120
σ = √(200 * 0.6 * (1 - 0.6)) = √(200 * 0.6 * 0.4) = √48 ≈ 6.93

Next, we can use the range rule of thumb to find the minimum and maximum usual values:

Minimum usual value (μ - 2σ):
120 - (2 * 6.93) = 120 - 13.86 ≈ 106.14

Maximum usual value (μ + 2σ):
120 + (2 * 6.93) = 120 + 13.86 ≈ 133.86

In summary:
Mean (μ): 120
Standard deviation (σ): 6.93
Minimum usual value (μ - 2σ): 106.14
Maximum usual value (μ + 2σ): 133.86

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Answer:

20%

Step-by-step explanation:

25%+(35%)+(20%)=80%

100-80=20%

The parametric equations for the motion of a particle in the xy-plane are x = cos(2π - t), y = sin (2π - t), 0 ≤ t ≤ 2π.

To find the Cartesian equation for the particle and identify the particle's path, we substitute for x and y in terms of t. x = cos(2π - t) = cos(t), y = sin (2π - t) = -sin(t).

Therefore, the Cartesian equation for the particle's path is y = -sin(x), where x is between 0 and 2π. The graph of y = -sin(x) is shown below:

The particle starts at (1,0) and moves counterclockwise along the curve to (-1,0) over the interval 0 ≤ t ≤ 2π.

Thus, the portion of the graph traced by the particle is the curve y = -sin(x) between x = 0 and x = 2π in the direction of decreasing x.

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Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:

(8.34%, 17.66%).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

For this problem, the estimate and the sample size are given, respectively, by:

\(\pi = 0.13, n = 200\)

Hence the bounds of the interval are:

As a percentage, the interval is:

(8.34%, 17.66%).

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The conditional probability mass function P(X=k∣X+Y=m)= P(X=k, Y=m-k) / P(X+Y=m)

To find the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y, follow these steps:

1. Write down the joint probability mass function of X and Y:

P(X=k, Y=n)

= P(X=k) * P(Y=n)  since X and Y are independent.
2. Express P(X=k) and P(Y=n) using the Poisson probability mass function:

P(X=k) = (e^(-λx) * λx^k) / k! and P(Y=n) = (e^(-λy) * λy^n) / n!

3. Plug these expressions into the joint probability mass function:

P(X=k, Y=n)

= [(e^(-λx) * λx^k) / k!] * [(e^(-λy) * λy^n) / n!]

4. Write down the marginal probability mass function for

X+Y: P(X+Y=m)

= Σ [P(X=k, Y=m-k)]   for k=0 to m, where the summation is over all possible values of k.

5. Calculate the conditional probability mass function P(X=k∣X+Y=m) by dividing the joint probability mass function by the marginal probability mass function:

P(X=k∣X+Y=m) = P(X=k, Y=m-k) / P(X+Y=m)

In summary, the conditional probability mass function P(X=k∣X+Y=m) for independent Poisson random variables X and Y can be found using the joint probability mass function, the Poisson probability mass function, and the marginal probability mass function.

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Answer:

Divide the two

Step-by-step explanation:

_____________________

Solution:

Exact Form:

\(\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}\)

______________________

(^Note^)

To subtract fractions, find the LCD (Least Common Denominator), then combine.

Hope this helps! If so, please lmk! Thanks and good luck!

Answer: 53/56

Step-by-step explanation:

sorry if im wrong but since there is 2 negative signs it is going to become positive. so..

4/7+3/8

then make the denominators the same (56)

then multiply the numerators by the number you multiplied for the denominator for the question.

answer: 32/56+21/56 = 53/56

The sets of numbers that could not represent the three sides of a triangle is {7,21,28}

Each side of a triangle that is considered legal must have a length that is less than the total of the lengths of the other two sides. hence, the longest side must be shorter than the total length of the other two sides.

fFor  option A , biggest side =11 and this can be seen to be greater than  9+ 11 = 20, so that is valid

for  option B  the biggest side  is 28 which is considered to be less equal to 21 +7 = 28, so that is  invalid

for option C the biggest side 39 which is considered to be not  less than 13 + 28 = 41, so that is invalid

for  option D, the biggest side 18 is less than 5 + 14  = 19, so that is valid

Therefore, option B is correct.

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Work Shown:

Solve for d.

(vf)^2 = (vi)^2 + 2*a*d

(0)^2 = (43)^2 + 2*(-7)*d

0 = 1849 + -14*d

-1849 = -14*d

d = (-1849)/(-14)

d = 132.071428571429 approximately

d = 132.07 feet approximately

Round this however your teacher instructs.

For more info, search out "kinematics equations".

Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

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Answer:

B

Step-by-step explanation:

The term 2013 in this context refers to the amount invested.

Mathematically, in finance, we can express the amount to be recouped on an investment, having a particular rate of return over a couple of years using the general formula;

V = P(1+r)^t

Such as in the case of amount obtained in a compound interest formula

Where P is the present value or principal or amount invested

V is the future value

r is the rate of investment

with t being the time taken

Answer:

Step-by-step explanation:

A fraction consists of two parts the top number and the bottom one.

Think of the top number as the count and the bottom as the size indicator. So you have:

countsize indicator −−−−−−−−−−→proper names numeratordenominator

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider the action example of dividing 3 into 6.

We can do this division directly because their size indicators are the same. That is, we have: 61÷31. People do not normally write it this way but it is correct.

To directly divide the counts the size indicator must be the same

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So we need to see how many of 18 will fit into 34

We can not do this directly in one operation as the size indicators are not the same.

Lets make the size indicators (denominators) the same

Multiply by 1 and you do not change the value but

1 comes in many forms.

[34×1]÷18 → [34×22]÷18

[3×24×2]÷18 → 68÷18

Now that the size indicators (denominators) are the same we can just divide the counts (numerators)

countsize indicator→[68÷18]=6÷1=6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I could explain more showing the connection between this and the shortcut method but what I have shown you will do for now.

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)