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scZoUnD [109]
2 years ago
13

. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.

Mathematics
1 answer:
Anarel [89]2 years ago
5 0
  • 5v+8w

put values

  • 5(-i+2j)+8(-3i+4j)

Do like you do algebraic addition

  • -5i+10j-24i+32j
  • -5i-24i+10j+32j
  • -29i+42j

Option A

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Suppose a shipment of 120 electronic components contains 3 defective components. to determine whether the shipment should be​ ac
Likurg_2 [28]

For this problem, the most accurate is to use combinations


Because the order in which it was selected in the components does not matter to us, we use combinations

Then the combinations are nC_r = \frac{ n! }{r! (n-r)!}

n represents the amount of things you can choose and choose r from them


You need the probability that the 3 selected components at least one are defective.

That is the same as:

(1 - probability that no component of the selection is defective).

The probability that none of the 3 selected components are defective is:

P = \frac{_{117}C_3}{_{120}C_3}


Where _{117}C_3 is the number of ways to select 3 non-defective components from 117 non-defective components and _{120}C_3 is the number of ways to select 3 components from 120.

_{117}C_3 = 260130

_{120}C_3 = 280840


So:

P = \frac{260130}{280840} = 0.927


Finally, the probability that at least one of the selected components is defective is:


P = 1-0.927 = 0.0737

  P = 7.4%

3 0
3 years ago
A local salesman receives a base salary of $975 monthly. He also receives a commission of 6% on all sales over $1200. How much w
IrinaK [193]

He has to sell in a month $26616.67.

Given that a local salesman receives a base salary of $975 monthly and he also receives a commission of 6% on all sales over $1200.

A numerical assertion wherein two articulations are delivered equivalent to each other is known as an algebraic condition.

Let the Sales amount be s.

We have:

Sales over 1,200 is written as

s-1200

6% is also 0.06  as a decimal,

so according to question, we have

0.06(s - 1200) + 975=2500

Now, we will apply the distributive property a(b+c)=ab+ac, we get

0.06s-0.06×1200+975=2500

Further, we want to simplify the left-hand side, we get

0.06s-72+975=2500

0.06s+903=2500

Furthermore, we will subtract 903 from both sides, we get

0.06s+903-903=2500-903

0.06s=1597

Now, we will divide both sides with 0.06, we get

0.06s/0.06=1597/0.06

s=26616.67

Hence, he have to sell in a month if he needed to have a monthly income of $2500 is $26616.67.

Learn more about algebraic equation from here brainly.com/question/4344214

#SPJ4

5 0
1 year ago
Combine the like terms to create an equivalent expression −n+(−3)+3n+5
spin [16.1K]

Answer:

2n+2

Step-by-step explanation:

6 0
2 years ago
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Can someone explain scientific notation please it’s so confusing.
Vladimir [108]

Answer: Scientific Notation is the expression of a number n in the form a∗10b. where a is an integer such that 1≤|a|<10. and b is an integer too. Multiplication: To multiply numbers in scientific notation, multiply the decimal numbers. Then add the exponents of the powers of 10.

Step-by-step explanation:

6 0
2 years ago
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Which point on the number line represents the approximate volume of a cone with the radius of 3 units and a height of 4 units? U
alekssr [168]

Answer: Third red dot after 30 on the number line represents the approximate volume of a cone.

Step-by-step explanation:

Since we have have given that

Radius of cone = 3 units

Height of cone = 4 units

So, Volume of cone is given by

Volume=\frac{1}{3}\pi^2\times h\\\\Volume=\frac{1}{3}\times 3.14\times 3\times 3\times 4\\\\Volume=37.68\ units^3

Hence, Third red dot after 30 on the number line represents the approximate volume of a cone.

5 0
2 years ago
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