A normal distribution has a mean u = 15.2 and a standard deviation of o = 0.9. Find the probability that a score is greater than 16.1

Answer:

I believe the answer is B I had a question like this as well i'm pretty sure its B

Step-by-step explanation:

Answer:

 0.0714

Step-by-step explanation:

The probability that the first is "working in nature" is 3/8.

The probability that the 2nd is "working in nature" is 2/7.

The probability that the 3rd is "not working in nature" is 5/6.

The probability that the 4th is "not working in nature" is 4/5.

Thus the probability that the first two of 4 opportunities are "working in nature" is ...

  (3·2·5·4)/(8·7·6·5) = 1/14 ≈ 0.0714

Answer:

Jury

The Trial of all Crimes, except in Cases of Impeachment, shall be by Jury; and such Trial shall be held in the State where the said Crimes shall have been committed; but when not committed within any State, the Trial shall be at such Place or Places as the Congress may by Law have directed.

Answer:

95% of Grade 6 pupils graduated

Answer:

95% of Grade 6 Pupils Graduated

Step-by-step explanation:

Express the Statement Mathematically:

Add Percentage

By Division

Then, Multiply

Answer:

a) X + X + 1 = 11

Step-by-step explanation:

Em matemática, a soma de consecutivos é expressa matematicamente como:

X + (X + 1) + (X + 2) + (X + 3) .............

Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11

Portanto, esta expressão algébrica é dada como:

X + (X + 1) = 11

X + X + 1 = 11

Portanto, a opção a) X + X + 1 = 11 é a opção correta

Answer:

the answer is 580cm in length

Answer:

b

Step-by-step explanation:

Answer:

The probability that a person adds both sugar and honey is 0.04.

Step-by-step explanation:

P(H) means "probability that a random person adds honey"

P(S) means "probability that a random person adds sugar"

P(H or S) means "probability that a random person adds AT LEAST ONE OUT OF honey and sugar"

P(H and S) means "probability that a random person adds BOTH honey and sugar"

We can simplify it as "percentage of people who add" instead of "probability that a random person adds", and then it should be clear to us that

P(H or S) = P(H) + P(S) - P(H and S)

The equation comes from the face that if we want to compute percentage of people who add at least one sweetener, we can sum people who add honey and people who add sugar, but we would have counted people who use both TWICE, so we can correct by subtracting. As follows:

P(H and S) = P(H) + P(S) - P(H or S)

P(H and S) = 0.15 + 0.68 - 0.79 = 0.83 - 0.79 = 0.04

So the probability that a person adds both sugar and honey is 0.04.

Answer:

He must sell 8 cards to reach the minimum goal.

Step-by-step explanation:

Giving the following information:

He wants to earn more than $50 at the fair.

He sells his cards for $2 and he has already earned $36.

First, we need to calculate the money required to reach the minimum goal:

51 - 36= $15

Now, we write the inequality:

2*x >15

x= number of cards sold.

x>15/2

x> 7.5

He must sell 8 cards to reach the minimum goal.

Step 1: Write the given expression

We have been given the equation:

If we compare coefficients this with the general quadratic equation

We can infer that

a= 1

b=-6

c=-6

To get x and y,

Step 2: Use the relationship provided

To get x

To get y, we will substitute the value of x=3 into the expression given

Hence

x = 3

y=-15

The functions y = 8•2ˣ and y = 8•2ˣ are equivalent using the laws of exponents

From the question, we have the following parameters that can be used in our computation:

y=2*+³ and y=8•2*

Express properly

So, we have

y = 2ˣ ⁺ ³ and y=8•2ˣ

When the first function expression is expanded, we have

y = 2ˣ * 2³ and y=8•2ˣ

Evaluate the exponent

y = 2ˣ * 8 and y=8•2ˣ

So, we have

y = 8•2ˣ and y = 8•2ˣ

hence, the functions are equivalent using the laws of exponents

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Answer:3.2

Step-by-step explanation:

3.2 because x =16/5=3 1/5=3.2

Answer:

The distributive property states that you can "distribute" the contents of one parentheses into the other to find an answer.

Let's first break down the larger number in the second parentheses:

400 + 10 + 5.

Then, let's multiply all those numbers by 3.

400 x 3 = 1200. 10 x 3 = 30. 5 x 3 = 15.

Then add up all the numbers and you get 1245.

Answer:

1245

Step-by-step explanation:

400+10+5

400×3=1200. 10×3=30. 5×3=15

Answer:

4.5

Step-by-step explanation:

Answer:

4.5. Since you‘re dividing x by 4.5, multiply it by 4.5 to cancel the 4.5. Do the same with the other side.

:)

When dividing 456.3 by 100, how should the decimal point be moved is:

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point. 12.5 is a decimal number, for instance.

In mathematics, the decimal system—also known as the Hindu-Arabic number system or the Arabic number system—is a positional numeral system that uses 10 as its base and calls for the use of 10 different numbers, including 0, 1, 2, 3, 4, 5, 6, 7, and 8. To indicate decimal fractions, a dot (decimal point) is also necessary.

We use decimals on a daily basis when dealing with things like money, weight, and length. Decimal numbers are used when higher accuracy is required than full numbers can provide.

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The probability is 0.96 that a randomly selected camper does not like to have a cookout, based on the given information and the complement rule of probability.

To determine the probability that a randomly selected camper does not like to have a cookout, we need to find the complement of the event C (the event that the camper likes to have a cookout).

Looking at the Venn diagram, we see that the probability of event C is 0.04 (represented by the intersection of circles C and A). Therefore, the probability of the complement of event C (not liking to have a cookout) is equal to 1 minus the probability of event C.

1 - 0.04 = 0.96

Hence, the probability that a randomly selected camper does not like to have a cookout is 0.96.

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Roger spent a fraction of 23% out of 100% of his allowance A on his movie ticket and beverage.

A value is 100, and his movie ticket cost is T, and his soda cost is S.

The difference between A and the cost of the soda is 100 - S.

The difference between A and the price of a movie ticket is 100 - T.

According to the information provided regarding the pricing of the movie ticket,

T = 20% × (100 - S)

T = (1 ÷ 5) × (100 - S)

T = 20 - (1 ÷ 5) × S

And the cost of the soda,

S = 5% (100 – T)

S = (1 ÷ 20) × (100 - T)

S = 5 - (1 ÷ 20) × T

Therefore, T = 20 - (1 ÷ 5) × S and S = 5 - (1 ÷ 20) × T

Substituting the value of S in T = 20 - (1 ÷ 5) × S,

T = 20 - (1 ÷ 5) × (5 - (1 ÷ 20) × T)

T = 20 - 1 + (1 ÷ 100) × T

T = 19 + (1 ÷ 100) × T

T - (T ÷ 100) = 19

T = (19 × 100) ÷ 99 ≅ 19% of A, since A = 100

Substituting the value of T in the equation S = 5 - (1 ÷ 20) × T,

S = 5 - (1 ÷ 20) × ((19 × 100) ÷ 99)

S = 400 ÷ 99

Therefore, S = (4 ÷ 99) × 100 ≅ 4% of A, since A = 100.

Therefore total amount spent is 19% + 4% = 23% out of a fraction of 100%.

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The question is -

Every week Roger pays for a movie ticket and a soda out of his allowance. Last week, Roger’s allowance was A dollar. The cost of his movie ticket was 20% of the difference between A and the cost of his soda, while the cost of his soda was 5% of the difference between A and the cost of his movie ticket. To the nearest whole percent, what fraction of A did Roger pay for his movie ticket and soda?

Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

It will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, Vincent deposits $165 at the end of each quarter, so P = $165. The annual interest rate is 6%, compounded quarterly, so the interest rate per compounding period, r, would be 6% divided by 4 (since there are 4 quarters in a year), which is 0.06/4 = 0.015.

We want to find the number of years, n, it will take for Vincent's savings to reach $9,000. Let's substitute the given values into the formula and solve for n:

9,000 = 165 * [(1 + 0.015)^n - 1] / 0.015

To solve this equation, we can use algebraic techniques or a financial calculator. Solving the equation, we find that n is approximately 15.83.

Since n represents the number of quarters, we need to convert it to years by dividing it by 4 (since there are 4 quarters in a year):

n (in years) = 15.83 / 4 ≈ 3.96

Therefore, it will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

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Answer:

A)  4 cats

Step-by-step explanation:

let x = 16-y

substitute to get:

18(16-y) + 30y = 432

288 - 18y + 30y = 432

12y = 144

y = 12

x = 4

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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In summary, we are given the power series Σ((-1)^(n)(4x - 4)^(n)√(n + 6)) for n = 1 to infinity. We need to determine the center and radius of convergence, as well as the interval of convergence.

The center of convergence, a, can be found by setting the term inside the parentheses, 4x - 4, equal to zero and solving for x. In this case, 4x - 4 = 0 gives x = 1. Therefore, the center of convergence is a = 1.

To find the radius of convergence, R, we can use the ratio test. By applying the ratio test to the series, we take the limit of the absolute value of the ratio of consecutive terms as n approaches infinity. Simplifying the ratio and taking the limit yields a value for R.

In the second paragraph, we would provide the detailed explanation and calculation for finding the radius of convergence using the ratio test. However, since the series expression provided does not match the standard form for applying the ratio test, it is not possible to calculate the radius of convergence or determine the interval of convergence without further clarification or a revised expression.

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#1= 36

#2=81

#3= 32

#4=125

Answer:

I thinks its F because you cant factor it

Step-by-step explanation:

Answer:

F) The expression does not have a real factor

Answer:

(x - 3) (x + 12)

Step-by-step explanation:

2x² + 18x - 72

divide the equation by 2

x² + 9x - 36 -36

(x - 3) (x + 12) 12 -3 = 9

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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The product of the functions is given as f(x) * g(x) = 77x⁷ +78x⁶ - 27x⁵

First, we need to know that functions are defined as rules or laws that expresses the relationship between two variables

These variables are;

From the information given, we have that;

f(x) = 11x³ - 3x²

g(x) = 7x⁴ + 9x³

To determine the product of the two functions as f(x) * g(x), we have to substitute the expressions, we get;

f(x) * g(x) = 11x³ - 3x²(7x⁴ + 9x³)

expand the bracket, and add the exponential values, we get;

f(x) * g(x) = 77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Collect the like terms and add or subtract, we have;

f(x) * g(x) = 77x⁷ +78x⁶ - 27x⁵

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The temperature approaches the steady-state solution:

\(u(x, y, t) = A_{00}\).

To solve the initial value problem, we begin by assuming a solution of the form u(x, y, t) = X(x)Y(y)T(t). Plugging this into the heat equation, we obtain:

X(x)Y(y)T'(t) = k(X''(x)Y(y) + X(x)Y''(y))T(t)

Dividing both sides by k X(x)Y(y)T(t), we get:

1/T'(t) = (X''(x)/X(x) + Y''(y)/Y(y))/k

Since the left-hand side depends only on t and the right-hand side depends only on x and y, both sides must be equal to a constant, which we denote by \(-\lambda^2\):

\(1/T'(t) = -\lambda^2\)

\(X''(x)/X(x) + Y''(y)/Y(y) = -\lambda^2k\)

Solving for X(x) and Y(y) separately, we obtain:

X(x) = A \(cos(n\pi x/L)\) (n=1,2,3,...)

Y(y) = B cos(\(m\pi y/H\)) (m=1,2,3,...)

Here A and B are constants determined by the initial condition u(x, y, 0) = f(x, y), and n and m are integers.

Substituting these expressions into the previous equation and simplifying, we obtain:

\(T'(t) + \lambda^2kT(t) = 0\)

The solution to this differential equation is:

\(T(t) = C exp(-\lambda^2kt)\)

Here C is a constant determined by the initial condition u(x, y, 0) = f(x, y). Therefore, the general solution to the heat equation is:

\(u(x, y, t) = \sum A_{nm} cos(n\pi x/L)\cos(m\pi y/H)\exp(-\lambda^2knt)\)

where the sum is over all integers n and m, and \(A_{nm}\) are constants determined by the initial condition u(x, y, 0) = f(x, y).

For the boundary conditions (a), we have:

u(0, y, t) = 0

u(L, y, t) = 0

u(x, 0, t) = 0

u(x, H, t) = 0

These are homogeneous Dirichlet boundary conditions, which imply that the Fourier series of u(x, y, t) has only sine and cosine terms, with the coefficients of the sine terms being zero due to the even symmetry of the problem.

Therefore, we have:

\(u(x, y, t) = \sum A_{nm} cos(n\pi x/L)\cos(m\pi y/H)\exp(-\pi ^2knt)\)

where the sum is over all even integers n and m, and \(A_{nm}\) are constants determined by the initial condition u(x, y, 0) = f(x, y).

The constant \(\lambda^2\) is determined by the boundary conditions and is given by:

\(\lambda^2 = (n\pi /L)^2 + (m\pi /H)^2\)

As t approaches infinity, the exponential term \(exp(-\lambda^2knt)\) goes to zero for all values of n and m except n=m=0, which gives λ=0.

Therefore, the temperature approaches the steady-state solution:

\(u(x, y, t) = A_{00}\)

where \(A_{00}\) is the constant determined by the initial condition u(x, y, 0) = f(x, y).

For the boundary conditions (b), we have:

partial differential u/partial differential x (0, y, t) = 0

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