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Montano1993 [528]
3 years ago
5

PLEASE HELP NEEDS TO BE DONE TONIGHT HELP PLEASE ASAP!

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

<em></em>

  • <em>    Variable</em>
  • <em>    Variable expression</em>
  • <em>    Number</em>

Explanation:

A <em>literal equation</em> contains numbers, letters, and signs.

The letters represent variables, the numbers are constants, and the sign express relations, like equal (=), less than (<), and greater than (>).

You use the signs to make equations or inequalities.

Algebra is the use of mathematical rules applied to literal expressions. You can add, subtract, multiply and divide literal, expressions, like in arithmetic,  following some rules.

<em>To rewritte a literal equation in terms of a specific variable</em>, you may need to <em>divide by</em>  <em>another variable, a variable expression, or a number</em>, but never by an inequality sign.

Here you have one example for each case:

<u>1. Dividing by another variable.</u>

     x^2y^5=100\\\\\\ \dfrac{x^2y^5}{y^5}=\dfrac{100}{y^5}\\ \\ \\ x^2=\dfrac{100}{y^5}

<u>  2. Dividing by a variable expression.</u>

      x^2(z^3+y^5)=100\\\\\\ \dfrac{x^2(z^3+y^5)}{(z^3+y^5)}=\dfrac{100}{(z^3+y^5)}\\ \\ \\ x^2=\dfrac{100}{(z^3+y^5)}

<u>3. Dividing by a number:</u>

   

      200x^2=100\\\\\\ \dfrac{200x^2}{200}=\dfrac{100}{200}\\ \\ \\ x^2=\dfrac{100}{200}\\ \\ \\ x^2=0.5

As said above,  you cannot divide by an inequality sign.

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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a
antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use 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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so X = 1070

SAT scores have a mean of 950 and a standard deviation of 155. This means that \mu = 950, \sigma = 155.

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

Z = \frac{1070 - 950}{155}

Z = 0.77

ACT:

Scored 25, so X = 25

ACT scores have a mean of 22 and a standard deviation of 4. This means that \mu = 22, \sigma = 4

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

Z = \frac{25 - 22}{4}

Z = 0.75

Due to the higher z-score, he did better on the SAT.

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4 years ago
Although, in general, you cannot know the sampling distribution of the sample mean exactly, by what distribution can you often a
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Step-by-step explanation:

4 0
4 years ago
9.1(6)+8.7(7)=_+60.9<br> How do I solve this?
timurjin [86]

Answer:

The answer is <u>54.6</u>.

9.1(6)+8.7(7)=<u>54.6</u>+60.9

Step-by-step explanation:

Given:

9.1(6)+8.7(7)=_+60.9

Now, to solve it:

9.1(6)+8.7(7)=_+60.9

Let the _be x.

So, we remove parenthesis first that makes it multiply with the number next to it:

9.1\times 6+8.7\times 7=x+60.9

54.6+60.9=x+60.9

Now adding on L.H.S:

115.5=x+60.9

Subtracting on both sides by 60.9 we get:

54.6=x

x=54.6

Therefore, the answer is 54.6.

7 0
4 years ago
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