Solve the equation -6+3×=-9


Answer 1
Answer: -6 + 3x = -9

And 6 to both sides:
3x = -3

Divide by 3 on both sides:
x = -1

Answer: x = -1

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Determine the truth value of each of these statements if the domain of each variable consists of all real numbers.a) ∀x∃y(x2 = y)


The statement ∀x∃y(x² = y) is true for all real numbers, as for each real number x, there exists a real number y such that x² = y.

How to determine the truth value of a statement?

The statement ∀x∃y(x² = y) is true as explained below:

For every real number x, there exists a real number y such that x² = y.

For example:

If x = 2, then y = 4 because 2² = 4.

If x = -3, then y = 9 because (-3)² = 9.

Since you can always find a real number y that satisfies the equation x² = y for any real number x, the statement is true for all real numbers in its domain.

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The statement is true. If x and y are both real numbers, the statement is:

"for every x, there exist y such that x^2=y"

This is true, because you can pick any real number, square it, and obtain another real number, y. The relation is not surjective, i.e. we will not use all possible values for y, but it doesn't matter. The statement is only asking to find a value for x^2, which we can always do.

A pump discharges 278 gallons of water in 3.5 minutes. How long would it take to empty a container with 750 gallons? Round up to the nearest minute


It would take 10.5 minutes

In this equation what do i have to change to make x equal 0 instead of 1/4


To solve for x:
- add 2 to both sides
- subtract 4 from both sides
- divide both sides by 2
/x= 1/2
- square both sides
x = 1/4

How do I solve a mathematics problem that is too complex for me to solve?



First, you should read that statement many time and just try to learn the concepts of that chapter and look at your examples you will find something same as your questions. Then if you cannot solve that question ask your elder to understand. After understanding that question do that question 4 to 5 times then you will understand that question easily..

Hope you like it please thank me or mark it as a brainliest answer.....


If you really can't solve it and you have no idea what the question is talking about, ask someone for help. For example, your teacher or your friends.

You can literally post your question on Brainly for us to answer if we can. That is the purpose of Brainly. Even if it is a really complex and hard question, you should still take the chance of posting it since there are like millions of people using Brainly and this will make it much more easier to find someone to help you.

. Emma is making bracelets for her friends. She noticed that 12 out of 20 of her beads are red. What decimal is equivalent to the fraction of Emma's beads that are red?




Step-by-step explanation:

12/20 = 6/10 = 0.6

A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per week. Based on a simple random sample, they surveyed 144 dentists. The statistics showed that dentists spent an average of 20 hours per week on fillings with a standard deviation of 10 hours. What is the probability of finding a sample mean less than 18 hours?



The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)=(X-M)/((s)/(√(N) ) ) where

  • X is the sample mean (18 hours)
  • M is the average hours dentists spend per week on fillings (20 hours)
  • s is the standard deviation (10 hours)
  • N is the sample size (144)

Putting the numbers, we get:

z(18)=(18-20)/((10)/(√(144) ) )=-2.4

Using z- table we can find that P(z<z(18)) = 0.0082

Final answer:

Based on given mean & standard deviation, by using principles of Central Limit Theorem and Z-score calculation, the probability of finding a sample mean less than 18 hours is approximately 0.0082 or 0.82%.


This question is about the probability of a specific sample mean in statistics, based on provided mean and standard deviation values. It requires the principle of the Central Limit Theorem which states that means of samples taken from a population are normally distributed irrespective of the population's distribution.

To answer this question, we first need to calculate the standard error (SE), which is the standard deviation divided by the square root of the sample size (n). In this case, SE = 10/sqrt(144) = 10/12 = 0.83 (rounded to 2 decimal places).

Next, we calculate the Z score, which tells us how many standard deviations an element is from the mean. So, Z = (Sample Mean - Population Mean) / SE = (18 - 20) / 0.83 = -2.4 (rounded to one decimal place).

Using the Z score table (also known as a standard normal distribution table), we find that the probability of a Z value of -2.4 or less is approximately 0.0082. Thus, the probability of finding a sample mean less than 18 hours is 0.0082, or 0.82% when expressed as a percentage.

Learn more about Probability here: