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quester [9]
3 years ago
8

Simplify the equation 32^3/5

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0
Ok so to simplify 32^3/5, you will need to know the steps, so I'll tell u the step by step solution. ;D

So Step 1: You have to <span>Raise 32 to the 3rd power:

</span><span><span>1.1 </span>    32 = 2</span>⁵
(32)³ = (2⁵)³ = 2¹⁵

<span>the equation has ended on step 1, so now is:

</span><span>  2</span>¹⁵
<span>------
  5
</span>
Now step 2:
Simplify it 

(you can't simplify this equation but these is the steps you gotta do on other equations so I'm just giving an example.)

  2¹⁵
------
  5

So basically your final result is:

  2¹⁵
------
  5

=====End=====

Hope you understand it :D

-Skylor/Crystal
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Which expression is equivalent to the expression shown?
Basile [38]

Answer:

5^0

Step-by-step explanation:

(5^3)^9 = 3 + 9 = 12

= 5^12

5^12/5^12 = 12 - 12 =0

5^0

brainliest is appreciated

4 0
3 years ago
The Town of Hertfordshire clerk knows that 23% of dogs in the town have completed emotional support training. Hertfordshire plan
Nataly_w [17]

Answer:

95.64% probability that under 30% of the dogs are emotional support trained

Step-by-step explanation:

For each dog, there are only two possible outcomes. Either they have completed emotional support training, or they have not. So we use the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

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:

\mu = E(X) = np = 100*0.23 = 23

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.23*0.77} = 4.21

What is the probability that under 30% of the dogs are emotional support trained?

30% of 100 is 0.3*100 = 30

So this is the pvalue of Z when X = 30.

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

Z = \frac{30 - 23}{4.1}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564.

So there is a 95.64% probability that under 30% of the dogs are emotional support trained

5 0
3 years ago
(This is very confusing)Tania planted five seeds in her garden nadia planted times as many seeds as Tania how many seeds did nad
Fittoniya [83]
There's a number missing from the question. It's supposed to be right before the word "times".
If it were there, the answer would be (5 times that number).
The way the question is written, without that number, there's no answer.
5 0
3 years ago
Read 2 more answers
For which value of b can the expression x2 + bx + 18 be factored?
Dmitry_Shevchenko [17]

Answers:

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

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

Explanation:

Here are all the ways to multiply to 18 when using integers only:

  • -1*(-18) = 18
  • -2*(-9) = 18
  • -3*(-6) = 18
  • 1*18 = 18
  • 2*9 = 18
  • 3*6 = 18

Sum each pair of factors to find out a possible value of b.

  • -1 + (-18) = -19
  • -2 + (-9) = -11
  • -3 + (-6) = -9
  • 1 + 18 = 19
  • 2 + 9 = 11
  • 3 + 6 = 9

Therefore, the possible values of b are

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

which are the final answers.

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

An example:

Let's say b = 11. This would mean x^2+bx+18 becomes x^2+11x+18

It would factor to (x+2)(x+9) since it was stated earlier that:

2+9 = 11

2 * 9 = 18

You can use the FOIL rule, distributive property, or the box method to confirm that x^2+11x+18 = (x+2)(x+9) is a true equation for all real numbers x.

This same idea applies for the other values of b.

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

If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)

Use the FOIL rule to get (x+p)(x+q) = x^2+qx+px+pq = x^2+(p+q)x + pq

The middle term (p+q)x has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).

7 0
2 years ago
What is 6/10 plus 7/12? And please give me the estimate of the sum or difference. Thank you
sesenic [268]
6/10+7/12

=72/120+70/120

=142/120

=120/120+22/120

=1+22/120

=1+11/60

<em>*Good estimate would be 1+1/6 = 1.17</em>
8 0
3 years ago
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