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Usimov [2.4K]
3 years ago
7

Evaluate 6+2•3-1 A) 23 B)16 C)10 D)11

Mathematics
2 answers:
Brums [2.3K]3 years ago
8 0

Answer:

D) 11

Step-by-step explanation:

  1. You always Multiply/Divide  first, so you would first multiply 2*3, which equals 6.
  2. after you multiply, you add. 6 + 6 = 12.
  3. Finally, subtract. 12-1 = 11.

If it helps, remember the order of opperations:

PEMDAS.

P = Parenthesis (you don't have any ( ) in this equation, so skip it.)

E = Exponents ( skip this step too. )

M = Multiply, (this is your first step.)

D = Divide

A = Add

S = Subtract

Ratling [72]3 years ago
7 0

6 + 2 * 3 - 1

2 * 3 = 6

6 + 6 - 1

6 + 6 = 12

12 - 1 = 11

D) 11

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27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 47 college students are randomly sele
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Answer:

0.12995

0.47508

0.0841

0.738

Step-by-step explanation:

Given that:

Percentage of STEM (p) = 27% = 0.27

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Using Normal approximation :

Mean (m) = n*p = 47 * 0.27 = 12.69

Standard deviation (s) = √(n*p*q)

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Standard deviation (s) = √(47*0.27*0.73) = 3.04

a. Exactly 13 of them major in STEM.

P(12.5 < x < 13.5)

USing the z formula :

(x - m) / s

(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04

-0.0625 < z < 0.2664

Using the z probability calculator:

P(Z < - 0.0625) = 0.47508

P(Z < 0.2664) = 0.60503

0.60503 - 0.47508

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P(X ≤ 12.5)

Zscore = (x - m) / s

Zscore = (12.5 - 12.69) / 3.04

Zscore = −0.0625

P(Z ≤ - 0.0625) = 0.47508

c. At least 9 of them major in STEM.

P(X ≥ 8.5)

Zscore = (x - m) / s

Zscore = (8.5 - 12.69) / 3.04

Zscore = −1.378

P(Z ≤ - 1.378) = 0.0841

d. Between 8 and 15 (including 8 and 15) of them major in STEM.

(8.5 - 12.69) / 3.04 < x (15.5 - 12.69) / 3.04

-1.378 ≤ z ≤ 0.924

Using the z probability calculator:

P(Z ≤ 0.924) = 0.82226

P(Z ≤ - 1.378) = 0.084102

0.82226 - 0.084102

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