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3 years ago

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: $(0,-4, 1 )$

d = √41

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Pre-Calculus

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:

Step 1: Define

Point A(1, 2, -1)

Point B(-3, -6, 2)

Point C(3, -2, 0)

Step 2: Find Point D

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

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

Step 3: Find distance d

Simply plug in the 2 coordinates A and D into the distance formula to find distance d

Substitute [DF]: $d = \sqrt{(0-1)^2+(-4-2)^2+(1+1)^2}$
Subtract/Add: $d = \sqrt{(-1)^2+(-6)^2+(2)^2}$
Exponents: $d = \sqrt{1+36+4}$
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 p-value of Z when X = 79.1, 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:

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