All categories

2 years ago

What is the result of factoring out the gcf from the expression (24 36)?

Mathematics

2 answers:

lisov135 [29]2 years ago

6 0

Answer:

gcf of the given expression (24 , 36) is 12.

Step-by-step explanation:

Given: expression (24 , 36)

We have to find the gcf of the given expression (24 , 36).

GCF stands for greatest common factor that divide the two numbers.

24 can be written as 2 × 2 × 2 × 3

36 can be written as 2 × 2 × 3 × 3

Thus, factors that are Common to both numbers 24 and 36 are 2 × 2 × 3

Thus, gcf of the given expression (24 , 36) is 12.

Gelneren [198K]2 years ago

5 0

Greatest common factor of 24 and 36 is 12. By just observing.

Factoring out 12.

24 = 12*2

36 = 12*3

(24 36) = 12(2 3)

You might be interested in

11. A basketball team of 16 players consists of 6 guards, 7 forwards, and 3 centers. The coach decides to randomly select 5 play

Citrus2011 [14]

Answer:

0.2163

Step-by-step explanation:

Firstly, we need to evaluate the total number of possible outcomes. Since there are 16 players, and we are selecting just 5, the total number of possibilities is 16C5= 4,368

Now, we know we need 2 guards from 6 , 2 forwards from 7 and 1 center from 3 to start the game. Since we are selecting, it is a combination problem. These can be done in the following number of ways:

6C2 * 7C2* 3C1

The probability is thus (6C2 * 7C2* 3C1 )/16C5 = 945/4368 = 0.2163

8 0

2 years ago

3.30 Survey response rate. Pew Research reported in 2012 that the typical response rate to their surveys is only 9%. If for a pa

Artist 52 [7]

Answer:

0% probability that at least 1,500 will agree to respond

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 15000, p = 0.09$

$\mu = E(X) = np = 15000*0.09 = 1350$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15000*0.09*0.91} = 35.05$

What is the probability that at least 1,500 will agree to respond

This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1499 - 1350}{35.05}$

$Z = 4.25$

$Z = 4.25$ has a pvalue of 1.

1 - 1 = 0

0% probability that at least 1,500 will agree to respond

6 0

2 years ago

How many solutions are there to the system of equations?

hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

$\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.$

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

$4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1$

You can identify that:

$m=0.8\\b=-1$

Apply the same procedure with the second equation. Then:

$-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1$

You can identify that:

$m=0.8\\b=1$

The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.

7 0

2 years ago

Read 2 more answers

Katie has a necklace for $14.5 plus 6% tax. sharon buys a bracelet for $12 plus 6% tax. enter the sum, in dollars, that Katie an

REY [17]

$28.09
Because 6 percent of both of them combined is 1.59
1.59 + 14.5 + 12 = $28.09

5 0

2 years ago

Read 2 more answers

If Jimmy increases a number by 10%, and then decreases this new value by 10%, what percent of the original number will the final

ludmilkaskok [199]

If he increases the number by 10%, he will have 110% of the number.
Then he reduces it by 10% of the new number, which s 11%.
110% - 11% = 99%
The answer is 99%.
Hope this helps!

8 0

2 years ago