What is the answer of 10-squareroot of 4 divided by 2

The following parts can be answered by the concept of Probability.

a. The probability mass function is given by: P(X=k) = (10 choose k) × 0.6^k × 0.4^(10-k)

b. The probability that in a random sample of 10 female students more than two read the magazine is 0.803, or approximately 80.3%.

(a) The name of the probability distribution of X is the binomial distribution with parameters n=10 (sample size) and p=0.6 (probability of success, i.e. reading the magazine). The probability mass function is given by:

P(X=k) = (10 choose k) × 0.6^k × 0.4^(10-k)

where (10 choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

(b) To find the probability that more than two students read the magazine in a random sample of 10, we can use the complement rule and calculate the probability of the complement event, which is that two or fewer students read the magazine. Thus, we have:

P(X > 2) = 1 - P(X ≤ 2)

Using the cumulative distribution function (CDF) of the binomial distribution, we can calculate:

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

P(X=0) = (10 choose 0) × 0.6⁰ × 0.4¹⁰ = 0.006

P(X=1) = (10 choose 1) × 0.6¹ × 0.4⁹ = 0.044

P(X=2) = (10 choose 2) × 0.6² × 0.4⁸ = 0.147

Therefore,

P(X > 2) = 1 - (0.006 + 0.044 + 0.147) = 0.803

Thus, the probability that in a random sample of 10 female students more than two read the magazine is 0.803, or approximately 80.3%.

To learn more about Probability here:

brainly.com/question/30034780#

#SPJ11

Answer:

DE is 15

Step-by-step explanation:

22.5 divided by 13.5 = 1.66666 repeating

9 times 1.6666 repeating is 15

Answer:

Step-by-step explanation:

If x = 4, then the factor is (x - 4); if x = -5, then the factor is (x + 5); if x = 7, then the factor is (x - 7).  We need to FOIL all these together to get a third degree polynomial.  (x - 4)(x + 5) = (x^2 + x - 20).  Now multiply that by (x- 7):  (x^2+x-20)(x-7) = .  Combine like terms to get  ,  the first choice above.

The correct answer is option C. Yes, because the data are ordered in some way.

C. Yes, because the data are ordered in some way. Ordinal data is data that is ordered or ranked in a specific way. In the case of the placement of a runner in a marathon, the data is ordered based on the runner's finish time. The runner who finishes first is given a rank of 1, the runner who finishes second is given a rank of 2, and so on. This is an example of ordinal data because the data is ordered in a specific way based on the variable of finish time. Therefore, the correct answer is option C. Yes, because the data are ordered in some way.

Learn more about Answer

brainly.com/question/30374030

#SPJ11

Answer:

k = -3

Step-by-step explanation:

Generally, we determine k by observing

the vertical translation of the original graph

in this case it’s the graph of f

and count the number of units by which it’s translated.

Checking the sign of k :

If the graph is translated up then k > 0

If the graph is translated down then k < 0

……………………………………………………………………

in order to get the graph of g ,the graph of f

is translated 3 units vertically but down

then

k = -3

If Arianna decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.

The gain basis for Arianna's converted personal residence to rental property can be calculated by determining the lower value between the adjusted basis and the fair market value.

In this case, the adjusted basis is $300,450 and the fair market value is $270,405.

The gain basis is the lower of the two values, which in this case is $270,405. This means that the gain basis for Arianna's rental property is $270,405.

The gain basis is important for tax purposes as it is used to calculate the taxable gain or loss when the property is eventually sold.

If the property is sold for a higher price than the gain basis, there will be a taxable gain.

On the other hand, if the property is sold for a lower price than the gain basis, there will be a deductible loss.

In Arianna's case, if she decides to sell the rental property in the future, the gain or loss will be calculated based on the $270,405 gain basis.

It is important to note that there may be additional factors and adjustments that could affect the final tax calculations, such as depreciation deductions and any improvements made to the property.

Consulting a tax professional would provide more accurate and detailed information regarding the tax implications of selling the rental property.

Learn more about tax here:

https://brainly.com/question/12239687

#SPJ11

A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

Learn more about the Law of Cosines at : https://brainly.com/question/30766161

#SPJ11

ANSWER

25

EXPLANATION

We are given that p and q intersect to form <1 and <2 that are adjacent.

Let us represent that with a diagram:

We have that <1 and <2 are supplementary.

This means that they add up to 180 degrees.

So:

<1 + <2 = 180

4x - 3 + 3x + 8 = 180

Collect like terms:

4x + 3x + 5 = 180

7x = 180 - 5

7x = 175

x = 175 / 7

x = 25

That s the value of x for which <1 and <2 are supplementary.

Answer:

2) 50° 3) 55°

Step-by-step explanation:

2) 120 + 10 + x = 180, x = 50

3) 35 + 90 + x = 180, x = 55

Answer: search it up

Step-by-step explanation:

Answer:

The name of the solid with 20 faces that are congruent equilateral triangles is icosahedron.

The solid you are referring to is called an icosahedron. An icosahedron is a specific type of convex polyhedron that has 20 faces. In this case, all 20 faces are congruent equilateral triangles. Option d is correct answer.

To understand why this solid is called an icosahedron, let's break down the term. "Icosa-" comes from the Greek word for twenty, while "-hedron" means face. Therefore, an icosahedron is a polyhedron with twenty faces.

Each face of an icosahedron is an equilateral triangle, meaning that all three sides of the triangle are equal in length, and all three angles are equal to 60 degrees. Since all 20 faces are congruent, they have the same side lengths and angles.

The icosahedron has a total of 12 vertices and 30 edges. The vertices are the points where three edges meet, and the edges are the line segments connecting the vertices. The icosahedron has a symmetrical and regular structure, making it one of the five Platonic solids.

An icosahedron is a convex polyhedron with 20 congruent equilateral triangle faces, 12 vertices, and 30 edges.

Option d is correct answer.

For more question icosahedron

https://brainly.com/question/10357380

#SPJ8

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

Answer:

its b

Step-by-step explanation:

Answer:

The answer would be $67.2.

Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2

Answer:

14

Step-by-step explanation:

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

To learn more about the total cost click here:

https://brainly.com/question/2433744

#SPJ1

The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

1

Step-by-step explanation:

\(\frac{2}{-3}\) × \(\frac{-3}{2}\) ( cancel - 3 on numerator/ denominator

= \(\frac{2}{1}\) × \(\frac{1}{2}\) ( cancel 2 on numerator/ denominator )

= 1 × 1

= 1

Answer:

Solution:

2x×(x+3)

Step-by-step explanation:

oper brackets

80........................

The constant of integration C1 was found by using the initial condition X'(0) = (-3/8), and the constant C2 was found by using the initial condition X(0) = (0) - (5).

To solve the given initial-value problem, we start by rearranging the equation:
3 11 16 × -(: * *:)* X' = 1 1 3
-(: * *:)* X' = (1/16)  (1/11)  (1/3)
Integrating both sides with respect to t:
-(: * *:)* X = (1/16) t + C1, where C1 is the constant of integration.
Multiplying both sides by the inverse of the matrix -(: * *:) gives:
X = (-1/8) t + C1/8 + C2, where C2 is another constant of integration.
To find the values of C1 and C2, we use the initial condition X(0) = (0) - (5):
X(0) = (-1/8) (0) + C1/8 + C2 = -5
C1/8 + C2 = -5
Since X'(t) = (-3/8), we have X'(0) = (-3/8). Using the equation X'(t) = (-3/8) and the initial condition X(0) = (0) - (5), we can solve for C1:
X'(t) = (-1/8) => (-3/8) = (-1/8) + C1/8 => C1 = -2
Substituting C1 = -2 into C1/8 + C2 = -5 gives:
(-2)/8 + C2 = -5 => C2 = -39/8
Therefore, the solution to the initial-value problem is:
X = (-1/8) t - 1/4 - (39/8)

The solution to the given initial-value problem is X = (-1/8) t - 1/4 - (39/8). The constant of integration C1 was found by using the initial condition X'(0) = (-3/8), and the constant C2 was found by using the initial condition X(0) = (0) - (5).

Learn more about integration

brainly.com/question/18125359

#SPJ11

a. The probability density function for the random variable x generated using the RAND function in Excel is: 3. Uniform distribution on the interval [0, 1].

b. The probability of generating a random number between 0.25 and 0.85 is: 0.6.

c. The probability of generating a random number less than or equal to 0.3 is: 0.3.

d. The probability of generating a random number greater than 0.6 is: 0.4.

e. Using the given 50 random numbers, the mean is: 0.498279.

Using the given 50 random numbers, the standard deviation is: 0.286468.

a. The probability density function for a random variable x generated using the RAND function in Excel is a uniform distribution on the interval [0, 1]. This means that all values within this interval have an equal probability of being generated.

b. The probability of generating a random number between 0.25 and 0.85 can be calculated by finding the length of the interval [0.25, 0.85] and dividing it by the total length of the interval [0, 1]. In this case, the interval [0.25, 0.85] has a length of 0.6, and the total interval [0, 1] has a length of 1. Therefore, the probability is 0.6.

c. The probability of generating a random number less than or equal to 0.3 can be calculated by finding the length of the interval [0, 0.3] and dividing it by the total length of the interval [0, 1]. In this case, the interval [0, 0.3] has a length of 0.3, and the total interval [0, 1] has a length of 1. Therefore, the probability is 0.3.

d. The probability of generating a random number greater than 0.6 can be calculated by finding the length of the interval (0.6, 1] and dividing it by the total length of the interval [0, 1]. In this case, the interval (0.6, 1] has a length of 0.4, and the total interval [0, 1] has a length of 1. Therefore, the probability is 0.4.

e. To calculate the mean of the given 50 random numbers, we sum all the numbers and divide by the total count, which is 50. The calculated mean is 0.498279.

To calculate the standard deviation of the given 50 random numbers, we can use the formula for sample standard deviation. This involves calculating the squared differences between each number and the mean, summing the squared differences, dividing by the sample size minus 1, and then taking the square root of the result. The calculated standard deviation is 0.286468.

To know more about probability density function,

https://brainly.com/question/31002747

#SPJ11

The multiplier that would be used to calculate the depreciation of the car is 0.83^y.

Depreciation is when the value of an asset declines due to wear and tear.

The equation that can be used to represent depreciation is:

Value of the asset x (1 - rate of depreciation)^years

$31,000 x 0.83^y.

To learn more about depreciation, please check: https://brainly.com/question/25552427

\(m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 6 - 3}{ - 1 - 2} \\ \\ m = \frac{ - 9}{ - 3} \\ m = 3\)

ATTACHED IS THE SOLUTION

They have 400 bottles left to package to meet their goal.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”

In the problem above, we are given that:

In order to find how many bottles do they have left to package to meet their goal, we will multiply the percentage by the bottles to figure out how much they got left.

So,

\(\rightarrow\text{x}=0.40\times1000\)

\(\rightarrow\bold{x=400 \ bottles}\)

Therefore, they have 400 bottles left to package to meet their goal.

To know more on percentages, visit:

https://brainly.com/question/28463297

To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

Learn more about spirometry and its significance in assessing lung function:

https://brainly.com/question/18155241

#SPJ11

1. 7 log3 k + 6 log3 m − 9 log3 n simplifies to log3\((k^7m^6/n^9\)).

2.4 log3 km over n simplifies to log3\((k^4m^4/n)\).

3. log3 \(k^7m^6/n^9\) simplifies to 7 log3 k + 6 log3 m − 9 log3 n.

4. log3 42 km over 9n simplifies to log3 (2*7*km/3n).

To simplify 7 log3 k + 6 log3 m − 9 log3 n, we can use the properties of logarithms. Specifically, we know that log (a*b) = log a + log b and log (a/b) = log a - log b. Thus:

7 log3 k + 6 log3 m − 9 log3 n

= log3 k^7 + log3 m^6 - log3 n^9

= log3\((k^7m^6/n^9)\)

To simplify 4 log3 km over n, we can use the property that log a - log b = log(a/b). Thus:

4 log3 km over n

= log3\((km)^4 - log3 n\)

= log3\((k^4m^4/n)\)

To simplify log3\(k^7m^6/n^9\), we can use the property that log (a*b) = log a + log b. Thus:

log3 \(k^7m^6/n^9\)

= log3 k^7 + log3 m^6 - log3 n^9

Finally, to simplify log3 42 km over 9n, we can factor 42 into its prime factors as 2*3*7. Thus:

log3 42 km over 9n

= log3 (2*3*7*km / 3^2*n)

= log3 (2*7*km/3n)

For such more questions on log

https://brainly.com/question/30193034

#SPJ8

False. The intercepted arc is actually twice the measure of the inscribed angle only if the inscribed angle is an angle at the center. If the inscribed angle is not at the center, the intercepted arc will have a different measure.

So, in general, the relationship between the measure of the intercepted arc and the inscribed angle it was created from depends on the location of the inscribed angle in the circle. This is a long answer, but it provides a detailed explanation of the relationship between the intercepted arc and the inscribed angle in different scenarios.

AN intercepted arc is twice the measure of the inscribed angle it was created from.
In a circle, when an inscribed angle is formed by two chords, it intercepts an arc on the circle. According to the Inscribed Angle Theorem, the measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the intercepted arc is indeed twice the measure of the inscribed angle.

To know more about inscribed angle visit:-

https://brainly.com/question/29028021

#SPJ11

The given differential equation is `(27xy + 45y²) + (9x² + 45xy)y' = 0`.We have to solve this differential equation by using integrating factor `u(x, y) = (xy(2x+5y))-1`.The integrating factor `u(x,y)` is given by `u(x,y) = e^∫p(x)dx`, where `p(x)` is the coefficient of y' term.

Let us find `p(x)` for the given differential equation.`p(x) = (9x² + 45xy)/ (27xy + 45y²)`We can simplify this expression by dividing both numerator and denominator by `9xy`.We get `p(x) = (x + 5y)/(3y)`The integrating factor `u(x,y)` is given by `u(x,y) = (xy(2x+5y))-1`.Substitute `p(x)` and `u(x,y)` in the following formula:`y = (1/u(x,y))* ∫[u(x,y)* q(x)] dx + C/u(x,y)`Where `q(x)` is the coefficient of y term, and `C` is the arbitrary constant.To solve the differential equation, we will use the above formula, as follows:`y = [(3y)/(x+5y)]* ∫ [(xy(2x+5y))/y]*dx + C/[(xy(2x+5y))]`We will simplify and solve the above expression, as follows:`y = (3x^2 + 5xy)/ (2xy + 5y^2) + C/(xy(2x+5y))`Simplify the above expression by multiplying `2xy + 5y^2` both numerator and denominator, we get:`y(2xy + 5y^2) = 3x^2 + 5xy + C`This is the general solution of the differential equation.

To know more about differential equation, visit:

https://brainly.com/question/32645495

#SPJ11

Answer:

$20.55

Step-by-step explanation:

Plz give brainliest

Geometric series should you use to find total amount of money after 30 days geometric series should you use to find total amount of money after 30 days

after 30 days the total is 0737418.23

Given that

A geometric series is a collection of terms in mathematics that have an unlimited number and a fixed ratio between each term. Because each succeeding term may be produced by doubling the previous term by half, for instance, the series

1/2+1/4+1/8+1/16+ ..........is geometric, because each successive term can be obtained by multiplying the previous term by 1/2.

The geometric series had an important role in the early development of calculus, is used throughout mathematics, and can serve as an introduction to frequently used mathematical tools such as the Taylor series, the complex Fourier series, and the matrix exponential.

Each term in a geometric series is the geometric mean of its two adjacent terms, as indicated by the name.

now, we need to find geometric series  should you use to find total amount of money after 30 days

geometric series = Σ\(\left \ {{30} \atop {n=1}} \right.\)

= (1)\((2)^{1-1}\) + (1)\((2)^{2-1}\) + (1)\((2)^{3-1}\) + (1)\((2)^{4-1}\) + ......................+(1) \((2)^{29-1}\) +(1)\((2)^{30-1}\)

= 10737418.23

To learn more about geometric series:

https://brainly.com/question/21087466

#SPJ4

Answer:

A and then the 2nd one is 10737418.23

Step-by-step explanation:

yw

The expected reward amount is -10$.

The product of the likelihood of each occurrence and the related reward results in the anticipated reward amount, which is equal to the expected reward value.

According to the question

We must multiply the odds of rolling an even number by the payout for rolling an even number, the odds of rolling an odd number by the payout for rolling an odd number, and then sum the results to determine the expected payoff.

P(odd) = P(1) + P(3) + P(5) = 0.1 + 0.1 + 0.1 = 0.3

P(Even) = P(2) + P(4) + P(6) = 0.3 + 0.2 + 0.2

The expected reward is calculated as follows:

(p(even) * 100 + (p(odd) * 200)) = (0.7 * 100 + (0.3 * 200)) = 70 - 60 = -10

As a result, the predicted reward is -10$.

To know more about expectations on brainly : brainly.com/question/15497993

#SPJ4