Write the word sentence as an inequality. Then solve the inequality. Three less than a number x is more than 15.

The probability of rolling a 1 on a die or rolling an even number on a die is 1/3. This is because the probability of rolling a 1 is 1/6, the probability of rolling an even number is 1/2

The probability of rolling a 1 on a die or rolling an even number on a die is P(E) = P(rolling a 1) + P(rolling an even number).

There are six possible outcomes of rolling a die: 1, 2, 3, 4, 5, or 6.

There are three even numbers: 2, 4, and 6. So, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The probability of rolling a 1 is 1/6.

Therefore, P(E) = 1/6 + 1/2 = 2/6 or 1/3.

The correct answer is P(E) = P(rolling a 1) + P(rolling an even number).

If we roll a die, then there are six possible outcomes, which are 1, 2, 3, 4, 5, and 6.

There are three even numbers, which are 2, 4, and 6, and there is only one odd number, which is 1.

Thus, the probability of rolling an even number is P(even) = 3/6 = 1/2, and the probability of rolling an odd number is P(odd) = 1/6.

The question asks for the probability of rolling a 1 or an even number. We can solve this problem by using the addition rule of probability, which states that the probability of A or B happening is the sum of the probabilities of A and B, minus the probability of both A and B happening.

We can write this as:

P(1 or even) = P(1) + P(even) - P(1 and even)

However, the probability of rolling a 1 and an even number at the same time is zero, because they are mutually exclusive events.

Therefore, P(1 and even) = 0, and we can simplify the equation as follows:P(1 or even) = P(1) + P(even) = 1/6 + 1/2 = 2/6 = 1/3

In conclusion, the probability of rolling a 1 on a die or rolling an even number on a die is 1/3. This is because the probability of rolling a 1 is 1/6, the probability of rolling an even number is 1/2, and the probability of rolling a 1 and an even number at the same time is 0. To solve this problem, we used the addition rule of probability and found that P(1 or even) = P(1) + P(even) - P(1 and even) = 1/6 + 1/2 - 0 = 1/3. Therefore, the answer is P(E) = P(rolling a 1) + P(rolling an even number).

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

Answer:

theres no percent to start off with so this question doesnt make sense unless the answer is 8

Step-by-step explanation:

Answer:

33% maybe ???

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a rectangle = length × width

Since we are finding the width

We have

\(width = \frac{area}{length} \\ \)

From the question

area = 6216 cm²

length = 84 cm

The width is

\(width = \frac{6216}{84} \\ \)

We have the final answer as

Hope this helps you

Answer:

54/60 and 35/60 (60)

Step-by-step explanation:

Find the first number that 10 and 12 will both go into, and multiply respectively if needed.

Answer:

Step-by-step explanation:

Use periodic compound formula:

\(F=P\cfrac{(1+r/n)^{nt}-1}{r/n}\)

Substitute the values and calculate:

\(F=200\cfrac{(1+0.032/12)^{12*2}-1}{0.032/12} =4950.12\)     rounded

Step-by-step explanation:

Use periodic compound formula:

\( \sf \: F=P\cfrac{(1+ \frac{r}{n})^{nt}-1}{\frac{r}{n}}\)

Substitute the values and calculate:

\(\sf \: F=200\cfrac{(1+ \frac{0.032}{12})^{12 \times 2}-1}{\frac{0.032}{12}}\)

\(\sf \: F=200\cfrac{( \frac{ 12 + 0.032}{12})^{24}-1}{\frac{0.032}{12}}\)

\(\sf \: F=200\cfrac{( {11.002 }{})^{24}-1}{0.002} \)

\(\sf \: F=200 \times 24.7506\)

\(\sf \: F=4950.12rounded\)

Answer:

33.2

Step-by-step explanation:

When you add the left side of the equation, you get 33.2 because 70-30 is 40, 40+2 is 42, 42-9 is 33, 33+0.3 is 33.03, 33.3-0.1 is 33.2.

When you add the right side of the equation, you get 33.2, because they are the same problem but on side has brackets.

Hope this helps you.

-2 gal/min

sry if it wrong

Answer:

17 pencils

Step-by-step explanation:

Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.

Tell me if I'm wrong :)

Answer:

12

Step-by-step explanation:

Plot the points (0, -20) and (10, 5) on a graph, and draw a line connecting them to represent the gross sales function S(x) = -20 + 2.5x.

To draw the graph of the gross sales function S(x) = -20 + 2.5x, we need to plot two points: the S-intercept and another point.

First, let's find the S-intercept. The S-intercept is the value of S when x = 0. Substituting x = 0 into the function, we get:

S(0) = -20 + 2.5(0) = -20

So the S-intercept is -20, which means that when the production facility produces 0 curtains, they will not make any sales.

Now, let's find another point. We can choose any value of x and calculate the corresponding value of S. Let's choose x = 8 (you can choose any other value if you prefer). Substituting x = 8 into the function, we get:

S(8) = -20 + 2.5(8) = 0

So when the production facility produces 8 curtains, their gross sales will be $0. This means that the break-even point is at x = 8, where the revenue from selling the curtains covers the production costs.

To plot the graph, we can use these two points: the S-intercept (-20, 0) and the point (8, 0). The graph should look like this:

```
        |
        |
        |
        |         *
        |      *
        |   *
        |*_______
        0   8    x-axis
              S-axis
```

The x-axis represents the number of curtains produced, and the S-axis represents the gross sales in hundreds of dollars. The graph shows that the gross sales function is a linear function that increases as the number of curtains produced increases. The break-even point is at x = 8, and after that, the production facility starts making a profit.

To learn more about function, click here:

brainly.com/question/12431044

#SPJ11

SOLUTIONS

Hence the correct answer is

The expression using the greatest common factor is 6x²(x⁸ - 16).

The complete factored form of the expression is 6x²(x⁴ + 4)(x² + 2)(x² - 2).

The greatest common factor of function 6x¹⁰ - 96x², is 6x².

6x¹⁰ - 96x² = 6x²(x⁸ - 16)

The complete factorization of the expression is calculated as follows;

expand the function x⁸ - 16;

x⁸ - 16 = (x⁴ + 4)(x⁴ - 4)

We can also simplify the function x⁴ - 4 further as shown below;

x⁴ - 4 = (x² + 2)(x² - 2)

The complete factored form of the function 6x¹⁰ - 96x² is calculated as;

6x¹⁰ - 96x²  = 6x²(x⁴ + 4)(x² + 2)(x² - 2)

Learn more about factorization here: https://brainly.com/question/25829061

#SPJ1

Answer: 66/2 or in simplest form, 33/1

Step-by-step explanation:

11/2 divided by 1/6

*Keep the first fraction, flip the sign to multiplication, reciprocal or flip the fraction*

= 11/2 x 6/1

=66/2

=33/1

Assuming an equal probability of having a girl or a boy for each child, the probability that a couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).

If we assume that the probability of having a girl or a boy for each child is equal (which is a simplifying assumption), then the probability of having a girl for each child is 1/2, and the probability of having a boy is also 1/2.

To find the probability that the couple does not have girls for all three children, we need to find the probability of having a boy for each child. Since the gender of each child is independent of the others, we can multiply the probabilities together.

So, the probability of having a boy for the first child is 1/2, for the second child is also 1/2, and for the third child is also 1/2.

Multiplying these probabilities together, we get:

(1/2) * (1/2) * (1/2) = 1/8

Therefore, the probability that the couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).

To learn more about probability  Click Here: brainly.com/question/31828911

#SPJ11

the function f is well-defined from O (the set of odd integers) to 2Z (the set of even integers), we need to show that for every odd integer n in O, there exists a unique even integer f(n) in 2Z.

Given any odd integer n, by definition, there exists an integer k such that n = 2k + 1.

Now, let's define f(n) = 2k.

To show that f(n) is well-defined, we need to demonstrate two things:

1. f(n) is even: Since f(n) = 2k, it is a multiple of 2 and therefore an even integer.

2. f(n) is unique: Suppose there is another even integer m in 2Z such that m = 2k'. We need to show that

k = k'.

Since n = 2k + 1 and m = 2k', we have 2k + 1 = 2k'.

Rearranging the equation, we get 2k - 2k' = -1, which implies k - k' = -1/2. But this contradicts the assumption that k and k' are integers, so k = k' and f(n) is unique.

Hence, we have shown that f(n) = 2k is a well-defined function from O to 2Z, as it assigns a unique even integer to every odd integer.

To know more about Odd Integer visit:

https://brainly.com/question/99852

#SPJ11

Answer:

Step-by-step explanation:

A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol.

This is the definition

Answer:

D

Step-by-step explanation:

I think it is the right answer, but I am not sure

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i just took the test and it said that was the answer

"The school sold 8 adult tickets and 5 child tickets for a total of $104", we can express it as follows

"On the second day they sold 4 adult tickets and 6 child tickets for a total of $80", we can express it as follows

These two equations form a linear system of equations, which we can solve by multiply the second equation by -2

Then, we combine the equations

Now, we find x

According to this solution, each adult ticket costs $8 and each child ticket costs $8.

If they sold 10 adult tickets and 4 child tickets on the third day, then they made

If they sold 22 adult tickets and 8 child tickets on the last day, then they made

Answer:

Step-by-step explanation:

Given that:

There are 96 automobile accident fatalities in Connecticut and 44 were alcohol related.

The null hypothesis and the alternative hypothesis for this study can be computed as:

\(H_o: P =0.39 \\ \\ H_1:P> 0.39\)

The sample proportion \(\hat p\)= 44/96 = 0.45833

Using the Z formula for a single proportion test, we get;

\(Z = \dfrac{\hat p - P }{\sqrt\dfrac{{P(1-P)}}{{n}}}\)

\(Z = \dfrac{0.45833 - 0.39 }{\sqrt\dfrac{{0.39(1-0.39)}}{{96}}}\)

\(Z = \dfrac{0.06833 }{\sqrt\dfrac{{0.39(0.61)}}{{96}}}\)

\(Z =1.37\)

The p-value = 1 -P(Z< 1.37)

The p-value = 1 - 0.9147

The p-value = 0.0853

At the level of significance (∝) 0.05 ;

Since p-value is greater than level of significance (∝);  we accept the null hypothesis and conclude that there is no sufficient evidence to say that higher percentage of alcohol is related to automobile fatalities.

Answer:

a. 36

b. 8.5

c. 2.5

d. 6

e. 9

f. 8

The standard format for electronic document submission in U.S. federal courts is PDF (Portable Document Format).

PDF, or Portable Document Format, is a widely used file format that allows for the electronic representation of documents. It is designed to be platform-independent, meaning it can be viewed and accessed on different devices and operating systems while retaining its original formatting. In the context of U.S. federal courts, PDF has become the standard format for attorneys to submit documents electronically.

The adoption of PDF as the standard format for electronic document submission in U.S. federal courts brings several advantages. PDF files are generally compact in size, making them easier to transmit and store. They also preserve the interest, fonts, and graphics of the original document, ensuring that the submitted materials are accurately represented.

Learn more about interest here:

https://brainly.com/question/30955042

#SPJ11

The relative frequency is 85/120, which is approximately 0.708. The relative frequency of employees who drive 10 miles or less to work can be found by dividing the frequency of employees in the 0-10 mile range by the total number of employees. Correct option is D.

In this case, the frequency of employees in the 0-10 mile range is 55 + 30 = 85, and the total number of employees is 120. Therefore, the relative frequency is 85/120, which is approximately 0.708.

Among the given answer choices, the closest option to the calculated relative frequency of 0.708 is (d) 0.71. This means that approximately 71% of the employees surveyed drive 10 miles or less to work. The relative frequency provides a proportionate measure of how many employees fall into the specified range compared to the total number of employees. It helps to understand the distribution and patterns within the data set, in this case, the commuting distances of the employees.

Learn more about relative frequency here:

https://brainly.com/question/28342015

#SPJ11

The number of miles from their residence to their place of work for 120 employees is shown below. Number of Miles 0-5 6-10 11-15 16-20 Frequency 55 30 25 10

The relative frequency of employees who drive 10 miles or less to work is _____

a. 0.85 O b. 0.85 O c.0.25 03 O d. 0.708

Answer:

Step-by-step explanation:

The constant of proportionality for x gallons water and y miles is k = 25

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.

Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.

A proportionate connection is simple to represent as a straight line on a coordinate plane. It is a straight line because it is directly proportional; the slope serves as the constant of proportionality.

The proportionate change along the x and y axes never varies, hence the slope or increase is constant.

According to the question,

x(gallons)     y(miles)

 1                       25

 2                      50

 3                      75

 4                      100

As we know, If y is proportional to x

=> y ∝ x

=> y = kx , where k is constant of proportionality

Using the table,

when x = 1 => y = 25

=> 25 = k(1)

=> k = 25

To know more about Constant of Proportionality here

https://brainly.com/question/29126727

#SPJ4

Answer:

3.6=30%    3.6+12=15.6       $15.6

Step-by-step explanation:

I hope this helps! Have a fantastic fri-yay! May I have brainliest!

Answer:

y=4 cos (x)

Step-by-step explanation:

y=4 cos (x)

Answer:

B and E

Step-by-step explanation:

2/9 is a fraction, so it belongs in the rational numbers set. The rational numbers set is part of the real numbers set, so 2/9 belongs there, too.

Simplifyibg the polynomial will be u^2v^2(-5u^6 + 3 + 3u^3v^2)

Starting with -71uv^2u, we can simplify this by multiplying the coefficients together to get -71u^2v^2.

Moving on to (3vu^2v - 5u^6u^2v^4), we can simplify this by combining like terms. First, let's simplify u^6u^2 to u^8:

3vu^2v - 5u^8v^4

Now, we have two terms that contain the variable v, so we can combine them by adding their coefficients:

-5u^8v^4 + 3vu^2v = -5u^8v^4 + 3u^2v^2

Finally, we add this result to the last term, 3u^3v^2v^2u^5, which does not have any like terms to combine:

-5u^8v^4 + 3u^2v^2 + 3u^3v^2v^2u^5

Simplifying further, we can factor out a common factor of u^2v^2:

u^2v^2(-5u^6 + 3 + 3u^3v^2)

This is the simplified form of the polynomial.

Learn more about polynomial on

https://brainly.com/question/1496352

#SPJ1