how do I solve this? x/4=3/2

The probability that no less than 4 of the entry forms will include an order = 0.1552

In this question we have been given the magazine mass marketing company has received 14 entries in its latest sweepstakes.

They know that the probability of receiving a magazine subscription order with an entry form is 0.4

We need to find the probability that no less than 4 of the entry forms will include an order.

P(subscription order with an entry form) = 0.4

We know that the formula for a binomial distribution,

P(x) = nCx p^x q^(n - x)

Here, n = 14, p = 0.4

q = 1 - p

  = 1 - 0.4

  = 0.6

We need to find P(x ≥ 4)

P(x ≥ 4) = 1 - [P(x = 1) + P(x = 2) + P(x = 3)]             .......(1)

Using binomial distribution,

P(x = 1) = 4C1 * (0.4)¹ * 0.6³

P(x = 1) = 0.3456

P(x = 2) = 4C2 * (0.4)² * 0.6²

P(x = 2) = 0.3456

P(x = 3) = 4C3 * (0.4)³ * 0.6¹

P(x = 3) = 0.1536

Substitute these values in (1)

P(x ≥ 4) = 1 - [0.3456 + 0.3456 +0.1536]

P(x ≥ 4) = 0.1552

Therefore, the required probability is 0.1552

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Replacing x=1 in the equations to verify if the value of y is equal to 8, we have:

A.

y= 5*(1) + 3 = 8 (Multiplying and adding) (It is correct as the result for y is equal to 8)

y= 9*(1) - 1 = 8 (Multiplying and subtracting)(It is correct as the result for y is equal to 8)

B

y= 4*(1) + 2 = 6 ≠ 8 (Multiplying and adding) (It is not correct as the result for y is not equal to 8)

C

y= -2*(1) + 10 = 8 (Mulitplying and subtracting) (It is correct as the result for y is equal to 8)

y= 8*(1) + 1 = 9 ≠ 8 (Multiplying and adding) (It is not correct as the result for y is not equal to 8)

D.

y= 7*(1) -5 = 9 ≠ 8 (Multiplying and subtracting) (It is not correct as the result for y is not equal to 8)

The answer is the option A.

Answer: -11 meters

Step-by-step explanation:

so for the waters surface, we are going to call that 0. if bob is at 15 meters below 0, then -15+4=-11, so he would be at-11 meters in relation to the waters surface.

Answer: x=-3

Step-by-step explanation:

2(x)-39=5(x+2x)

2x-39=5(3x)

2x-39=15x

-39=13x

-39/13=-3

Answer: answer is a

Step-by-step explanation:

Answer:

x = 1.71428571429 (1.7)

Step-by-step explanation:

4 - 7x= -8

-4         -4

-7x = -12

/-7      /-7

x = 1.71428571429

x = 1.7

Answer:

9/25

0.36

Step-by-step explanation:

Part 1:

You divide 36 by 100 to find the fraction:

36/100

Then, simplify:

36/100 = 9/25

.................................................................................

Part 2:

To find the decimal of a percentage, divide the percent by 100. When dividing by 100, you get the answer by moving the decimal point two spaces to the left.

36% = 0.36

Step-by-step explanation:

you know how functions work ?

the variable (or variables) in the findings expression is a placeholder for actual values.

when we have an actual value, we put that into the place of the variable and then simply calculate.

x = 5

therefore, the functional calculation is

y = 3×5 - 7 = 15 - 7 = 8

keep in mind the priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

therefore, we need to calculate "3×5" before we deal with the "- 7" part.

Answer:

Step-by-step explanation:

y=8

Answer:

$1,252.13 I believe  or $1,252

Step-by-step explanation:

Multiply the 1500 by .10 and you'll get 150

Now subtract that from 1500 that's 1350

.0725 multiplyed by 1350 is 97.875

Subtract that from 1350 and you'll get the answer!

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

Answer:

if the coefficient of y is 1

the coefficient of x is slope

then the slope of line is m

and if x=0 y=m×0+b=b

then the y-intercept is b

Using the limit laws, we can say that the limit of the given function is 2.

Hence, the correct option is (D). Answer: 2.

The given limit islim x→0(tan²x/(sin²x - xcos²x))

The given limit is an indeterminate form of 0/0.

To solve this limit, we need to use L'Hopital's Rule.

According to L'Hopital's Rule, to calculate the limit of an indeterminate form of 0/0, we need to take the derivative of both the numerator and denominator.

After taking the derivative of both, we again try to take the limit of the given function. I

f we still have the indeterminate form of 0/0, we again take the derivative of both the numerator and denominator.

We repeat this until the indeterminate form changes and we get the limit value. We will follow these steps to calculate the given limit:

lim x→0(tan²x/(sin²x - xcos²x))

Now, take the derivative of the numerator and denominator of the given function.

We get

lim x→0(sec²x(2tanx sin²x - 2cos²x + x2sinxcosx))/2sinx cosx - cos²x

We again put the value of x = 0 in the derivative function obtained above.

We get

lim x→0(sec²x(2tanx sin²x - 2cos²x + x²sinx cosx))/2sinx cosx - cos²x = [2(0)² - 2(1)]/(-1)

= 2

Using the limit laws, we can say that the limit of the given function is 2.

Hence, the correct option is (D). Answer: 2.

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Probability that 79 or more seeds germinate is 0.138, or about 13.8%.

To approximate the probability that 79 or more seeds germinate, we can use a normal approximation to the binomial distribution. First, we need to find the mean and standard deviation of the number of seeds that germinate.

The mean is the expected value of a binomial distribution, which is equal to the product of the number of trials (90) and the probability of success (0.84):

mean = 90 x 0.84 = 75.6

The standard deviation of a binomial distribution is equal to the square root of the product of the number of trials, the probability of success, and the probability of failure (1 minus the probability of success):

standard deviation = sqrt(90 x 0.84 x 0.16) = 3.11

Next, we can use the normal distribution to approximate the probability that 79 or more seeds germinate. We need to standardize the value of 79 using the mean and standard deviation we just calculated:

z = (79 - 75.6) / 3.11 = 1.09

Using a standard normal distribution table (or calculator), we can find the probability that a standard normal variable is greater than 1.09:

P(Z > 1.09) = 0.138

This means that the approximate probability that 79 or more seeds germinate is 0.138, or about 13.8%.

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Answer:

Step-by-step explanation:

Do you mean 130% of 69? If so then we multiply 69 by 1.3. The answer is 89.7. If you mean something else, please state your question more clearly and I'll be happy to answer it.

Answer:

n + n*1.30 = 69

The number is 30

Step-by-step explanation:

We have a number n

increased by 130%

n + n*130%

is 69

n + n*1.30 = 69

Combine like terms

2.30n = 69

Divide by 2.30

2.30n/2.3 = 69/2.3

n =30

The probability of getting exactly one face card is 0.72.

According to the questions two cards are drawn from a deck.

Since, we know that

Total number of cards in a deck = 52

Total number of face cards =  3 × 4 = 12

So, the number of ways of selecting 2 cards from a deck = \(^{52} C_{2}\)

And, the total number of ways of  getting exactly one face cards

= \(^{12} C_{1} \times ^{40} C_{1}\)  + \(^{40} C_{1} \times ^{12} C_{1}\)

= 2\(^{40} C_{1} \times ^{12} C_{1}\)

Therefore, the probability of getting exactly one face card

= \(\frac{2(^{40} C_{1} \times ^{12} C_{1})}{^{52C_{2} } }\)

\(= \frac{2(\frac{40 \times 39!}{1!\times 39!} \frac{12\times 11!}{11!}) }{\frac{52\times 51\times 50!}{2!\times50!} }\)

\(= \frac{2(40\times 12)}{26\times 51}\)

\(=\frac{2\times 480}{1326}\)

= 0.72

Hence, the probability of getting exactly one face card is 0.72.

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Answer:

1/12

Step-by-step explanation:

1/4 - 1/6

= 1/12

Answer:

From SOHCAHTOA

Cos17=73/y

y=73/cos17

y=76.34cm

Option B

Answer:

Step-by-step explanation:

Step 1: Find the total fraction of raisins he gave to his brothers

=

Step 2: Find the lowest common multiple(Lcm) of 6 and 4

Lcm of 6 and 4 = 12

Step 3: Add the fractions

= \(\frac{2+ 3}{12}\)

= \(\frac{5}{12}\)

Step 4: To find the fraction that he kept, you will subtract the total fractions he gave his brothers from 1.

\(1 - \frac{5}{12} \\= \frac{12-5}{12} \\= \frac{7}{12}\)

Final answer

The fraction that he kept = \(\frac{7}{12}\)

The solution to the system of linear equations 5x + 3y + 7z = 4, 3x + 26y + 2z = 9, 7x + 2y + 10z = 5 is:

x = -59/151

y = 228/151

z = -43/151

To show that the system of linear equations 5x + 3y + 7z = 4, 3x + 26y + 2z = 9, 7x + 2y + 10z = 5 is consistent, we need to check if the rank of the augmented matrix [A | B] is equal to the rank of the coefficient matrix A, where B is the column vector [4, 9, 5].

The augmented matrix for this system is:

[5  3  7 | 4]

[3 26  2 | 9]

[7  2 10 | 5]

Using row operations, we can simplify this matrix to reduced row echelon form as follows:

[1 0 0 | -59/151]

[0 1 0 | 228/151]

[0 0 1 | -43/151]

Since the rank of the coefficient matrix A is 3 and the rank of the augmented matrix [A | B] is also 3, the system is consistent and has a unique solution.

Therefore, the solution to the system of linear equations 5x + 3y + 7z = 4, 3x + 26y + 2z = 9, 7x + 2y + 10z = 5 is:

x = -59/151

y = 228/151

z = -43/151

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Answer:

3

Step-by-step explanation:

The Limited Liability Company has become a popular business structure option since its introduction in 1994. It combines the advantages of partnerships with limited liability, providing members with a high degree of protection and flexibility in terms of management and taxation.

Since 1994, a new form of business ownership called Limited Liability Company (LLC) has been approved in most states. This type of business combines the benefits of partnerships with limited liability of corporations. LLCs are owned by members who are not liable for the company's debts and obligations. Unlike partnerships, LLC members are not personally responsible for the company's losses, debts or legal liabilities. This allows them to enjoy a level of protection from the risks associated with the business while still benefiting from the partnerships' flexibility and tax benefits.
LLCs are relatively easy to establish and maintain, and they offer a lot of flexibility in terms of management and ownership structure. The profits of the LLC are distributed to the members, who can be individuals, corporations, or other LLCs. Additionally, the members can choose how the LLC is taxed, either as a pass-through entity or a corporation.
With the rising demand for more flexible business structures, the LLC is likely to remain a popular choice for entrepreneurs in the years to come.

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Answer:

1) No

2) Yes

3)No

4)Yes

Step-by-step explanation:

1) 3(8) is simplified to 24

But 24 < 24 is not a true statement because they are both equal.

2)  3(5) is simplified to 15

15 < 40 is a true statement because 15 is less than 24

3) 3(11) simplifies to 33

33 < 24 is not a true statement because 33 is more than 24

4) 3(6) simplifies to 18

18 < 24 is a true statement because 18 is less than 24

Hope this helped.

Answer:

7,11

Step-by-step explanation:

The width is x. x+4= the length. The area is side times side, so it’s

x × (x+4) = 77

We can simplify this to:

x × x + x × 4 = 77

x^2 + 4x = 77

x^2 + 4x - 77 = 0 This is a quadratic equation. So we can solve using the quadratic formula:

x = \(\frac{-4\pm\sqrt{4^2-4\cdot1\cdot-77}}{2\cdot1}\) ->

\(\frac{-4\pm18}{2}\)

\(\frac{14}{2} \implies7\)

That’s the positive solution and that’s x, the width. So the width is 7 and the length is 7+4=11

Step-by-step explanation:

the 4th answer option is correct.

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

The baker needs to use 100/3 pounds of 90% chocolate to make the cake.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 90% chocolate. Using equation:

100 * 70% + x * 90% = (x + 100) * 75%

100 * 0.7 + 0.9 * x = (x + 100) * 0.75

70 + 0.9x = 0.75x + 75

x = 100/3

The baker needs to use 100/3 pounds of 90% chocolate to make the cake.

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Answer:

100/3 pounds

Step-by-step explanation:

Answer:

x = 69

Step-by-step explanation:

Knowns:

y = 69

Problem Workout

180 - z = 2y

180 - z = 2 (69)

180 - z = 138

-z = -42

z = 42

Since there is no picture, I am guessing x is the third angle.

x = 180 - (y + z)

x = 180 - (69 + 42)

x = 180 - 111

x = 69

Based on the previous test scores, the conclusion is that you cannot enter the competition

The given parameters are

Previous test score = 91, 84, 76, 85

Worth of each test = 100

Goal = At least 440

Add up the previous test scores

So, we have:

Previous test score = 91 + 84+76+ 85

Evaluate the sum

So, we have

Previous test score = 336

Let the possible test score in the last test be x

So, we have the following equation

x + Previous test score = Goal

This gives

x + 336 = At least 440

Express as inequality

x + 336 >= 440

Evaluate the like terms

x >= 104

The highest score of a test is 100.

This means that you cannot score 104 in the last test

Hence, the conclusion is that you cannot enter the competition

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