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sattari [20]
3 years ago
8

What's 8subtract 2 over 3

Mathematics
1 answer:
torisob [31]3 years ago
3 0
To subtract fractions, find the LCD and then combine.
Exact form:
22/3

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Triangle ABC is formed by the vertices A(1,2,-1), B(-3,-6,2)and C(3,-2,0).
Vesnalui [34]

Answer:

Point D: (0,-4, 1 )

<em>d</em> = √41

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Pre-Calculus</u>

  • Midpoint Formula [3D]: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} )
  • Distance Formula [3D]: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point A(1, 2, -1)

Point B(-3, -6, 2)

Point C(3, -2, 0)

<u>Step 2: Find Point D</u>

Simply plug in your coordinates B and C into the midpoint formula to find midpoint

  1. Substitute [MF]:                    (\frac{-3+3}{2},\frac{-6-2}{2}, \frac{2+0}{2} )
  2. Add/Subtract:                       (\frac{0}{2},\frac{-8}{2}, \frac{2}{2} )
  3. Divide:                                  (0,-4, 1 )

<u>Step 3: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates A and D into the distance formula to find distance <em>d</em>

  1. Substitute [DF]:                    d = \sqrt{(0-1)^2+(-4-2)^2+(1+1)^2}
  2. Subtract/Add:                       d = \sqrt{(-1)^2+(-6)^2+(2)^2}
  3. Exponents:                           d = \sqrt{1+36+4}
  4. Add:                                      d = \sqrt{41}
5 0
3 years ago
A population of values has a normal distribution with
Naily [24]

Using the normal distribution, we have that:

  • For a single value, P(X < 79.1) = 0.5517.
  • For the sample of n = 155, P(X < 79.1) = 0.9463.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The mean and the standard deviation are given, respectively, by:

\mu = 76.2, \sigma = 22.4.

The probability is the <u>p-value of Z when X = 79.1</u>, hence:

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

Z = (79.1 - 76.2)/22.4

Z = 0.13

Z = 0.13 has a p-value of 0.5517.

Hence: P(X < 79.1) = 0.5517.

For the sample of 155, applying the Central Limit Theorem, the standard error is:

s = 22.4/sqrt(155) = 1.8

Hence:

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

Z = (79.1 - 76.2)/1.8

Z = 1.61

Z = 1.61 has a p-value of 0.9463.

P(X < 79.1) = 0.9463.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

3 0
1 year ago
-1 +(-3) is units from -1 in the direction
likoan [24]

Answer:

-4

Step-by-step explanation:

5 0
4 years ago
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
DedPeter [7]
19 yards maybe i dont know
7 0
3 years ago
Read 2 more answers
2•(3 (5+2) - 1) Geometry Math.​
bagirrra123 [75]

Answer:

40

Step-by-step explanation:

2 • (3(5 + 2) - 1) =

Start with the innermost parentheses.

= 2 • (3(7) - 1)

Now do the multiplication inside the parentheses.

= 2 • (21 - 1)

Do the subtraction inside the parentheses.

= 2 • 20

= 40

3 0
4 years ago
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