You have 10 cards numbered 0-9, what is the probability of drawing 1, replacing the cord and then drawing on odd number?​

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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Answer:

X=15

Step-by-step explanation:

Hope this helps

Answer:

x^2 + 2

Step-by-step explanation:

The value of (2x2 + 4) ÷ 2 =

(2x2 + 4)/2 =

(2(x2 + 2))/2 =

x^2 + 2

Answer:

3x = 6y

Step-by-step explanation:

8 - 2y = 6y and 3x is by itself so it would be 3x is equal to 6y.

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

300/60=5 more words per minute

80+5 = 85 words per minute

or

80 x 60 = 4800 + 300 = 5100

5100 / 60 = 85 words per minute

Hope this helps

Step-by-step explanation:

The total gross salary for FICA taxes is $4896 with the tax rates 6.2% and 1.45%.

The amount you earn each month before taxes and other deductions is referred to as your monthly gross income. In other words, it's your annual salary divided by 12. It's only a simple metric to aid in budgeting and other routine financial computations.

Annual Salary Amount / Number of Pay Periods = Gross Pay.

Gross pay equals the number of hours worked in a pay period multiplied by the hourly rate (+ overtime hours multiplied by the hourly overtime rate).

Given,

Tax rate=6.2%

=64000(6.2/100)

=3968

And also given another tax rate is 1.45%

=64000(1.45/100)

=92.8

Total=3968+928

=$4896

Therefore, the total gross salary for FICA taxes is $4896.

The total gross salary for FICA taxes is $4896 with the tax rates 6.2% and 1.45%.

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As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Answer: x = 138

Step-by-step explanation:

\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)

In a poker hand consisting of 5 cards, the probability of holding 3 kings is   0.0009 .  

The probability of holding 3 kings in a poker hand of 5 cards can be calculated as follows:

The number of ways to choose 3 kings from a deck of 4 kings is= ⁴C₃ = 4.

The number of ways to choose 2 other cards from the remaining 48 cards is = ⁴⁸C₂ = 1128.

The total number of 5-card hands from a standard deck of 52 cards is = ⁵²C₅ = 2598960.

So , the probability of holding 3 kings in a 5 card hand is

⇒ (4 × 1128)/2598960

⇒ 4512/2598960  .

⇒ 0.00085148 .

Therefore , probability of holding 3 kings in a 5card hand is approximately 0.0009 .

The given question is incomplete , the complete question is

In a poker hand consisting of 5 cards, find the probability of holding  3 kings .

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The 36th derivative of f(x) = cos(2x) is \(2^{17}\)* cos(2x).

To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).

Let's start by finding the first few derivatives of f(x) = cos(2x):

f'(x) = -2sin(2x)

f''(x) = -4cos(2x)

f'''(x) = 8sin(2x)

f''''(x) = 16cos(2x)

We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.

Based on this pattern, we can see that the 36th derivative will be:

f^(36)(x) =\((-1)^{17} * 2^{17} *\) cos(2x)

Simplifying this expression, we have:

f^(36)(x) = \(2^{17} * cos(2x)\)

Therefore, the 36th derivative of f(x) = cos(2x) is\(2^{17\) * cos(2x).

It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.

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================================================

Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

------------------------------

Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

-------------------------------

Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

-------------------------------

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

Answer:

V = -0.5

Step-by-step explanation:

Step 1: Define

V = u + at

u = 2

a = -5

t = 0.5

Step 2: Substitute and Evaluate

V = 2 + (-5)(0.5)

V = 2 - 2.5

V = -0.5

Answer:

x ≠ 1

Step-by-step explanation:

If 1 is used, this will happen:

f(x) = 4/-(1) + 1

f(x) = 4/-1 + 1

f(x) = 4/0 = Undefined

The red dot on the graph is (2, -8)

We need to know about writing equations given conditions to solve this problem. The equation for C1 is C1=0.27t and for C2 is C2=34.95+0.12t , the number of talk minutes that would produce the same cost for both plans is 233.

For writing equations for a variable given certain conditions we need to first assume the unknown variable to be x or something. Here in this question we know that the phone plans charge a particular cost for every minute, we have to assume the number of talk minutes to be t, so the total cost for the talk minutes can be calculated by multiplying the number of minutes to the cost per minute, if there is any additional constant charge then we add the cost to the equation which will give us the final cost equation.

For C1, it charges 27 cents for a minute, so the equation for C1 is

C1=0.27t [1 cent =$0.01]

For C2, it charges $34.95 monthly fee which is constant and 12 cents per minute.

C2=34.95+0.12t

To find the number of talk minutes that produce same cost we have to equate the two equations

0.27t=34.95+0.12t

0.15t=34.95

t=233

Therefore the equation for C1 is C1=0.27t and for C2=34.95+0.12t and the number of talk minutes that produce the same cost is 233.

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The required probabilities for the given sections of the question are a) P(A|B) = 0.111, b) P(B|A) = 0.059.

The probability of occurrence of any occasion A when one more occasion B corresponding to A has proactively happened is known as contingent likelihood.

A = occasion of tackling the first problem

B = occasion of tackling the second problem

Given

P(A) = 0.85

P(B) = 0.45

P(A and B) = 0.05

Section (a)

Jed has tackled the subsequent issue. So we're given that occasion B has occurred. We need to track down P(A|B) which is the likelihood of occasion An occurrence given B has occurred.

Utilize the restrictive likelihood equation

P(A|B) = P(A and B)/P(B)

P(A|B) = 0.05/0.45

P(A|B) = 0.111111

P(A|B) = 0.111

Part (b)

Same thought as to some degree (a), yet presently we need to track down P(B|A). We know occasion A has occurred and we need to find the likelihood of occasion B happening in light of A.

P(B|A) = P(B and A)/P(A)

P(B|A) = P(A and B)/P(A)

P(B|A) = 0.05/0.85

P(B|A) = 0.05882

P(B|A) = 0.059

Thus, required probability are a) P(A|B) = 0.111, b) P(B|A) = 0.059.

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Correct question:

a mathematics professor assigns two problems for homework and knows that the probability of a student solving the first problem is 0.90, the probability of solving the second is 0.45, and the probability of solving both is 0.20. (round your answers to three decimal places.)

(a) Jed has solved the second problem. What is the probability he also solves the first problem? (b) Edna has solved the first problem. What is the probability she also solves the second problem?

Answer: 3/8

Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.

Answer: 59/28

Step-by-step explanation: 59/28

Answer:

152 cm^2

Step-by-step explanation:

To calculate the surface area of this figure, we just need to calculate the surface area of each side and add the total.

Surface area of rectangle = length times width

4 * 8 = 32

Now, we need to multiply 32 by 4 because there are 4 of these rectangles. This yields a value of 128, and we can now find the surface area of the other rectangles:

Surface area of rectangle = length times width

4 * 3 = 12

Now, we need to multiply 12 by 2 because there are 2 of these rectangles. This yields a value of 24 and we can add 24 to 128 to get the total surface area of the prism. This means that the surface area of the prism is 152 cm^2

Answer:

Step-by-step explanation:

for the following reasons we need a new way of calculating a value for a value that we are using in our own example of the function we use to define the function we are calling to the object we want in the function of our own object in our example.

Answer: B

Step-by-step explanation: if 24 to 16 is 3:2 then because this is directly proportional it would be that x is 6:4

Check the picture below.

The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

The margin of error (E) can be calculated using the following formula:

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

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Answer:

71.54km/hr

Step-by-step explanation: