Sigma notation and the nth term

Solve the inequality 2x + 8 < 5x - 4

Novay_Z [31]

The answer is A) X > 4

4 0

3 years ago

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1/4 2/10 correct comparison answer

lubasha [3.4K]

Not exactly

2/10 = .2
1/4 = .25

1/4 is 0.05 bigger than 2/10

4 0

3 years ago

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A building company employs 3 labourers 12 joiners 8 electrician 4 plumbers. For a job, the company needs one of each type of wor

Novay_Z [31]

The number of ways that the company can choose four workers is 40920 ways.

<h3>How to calculate the number?</h3>

From the information, the building company employs 3 laborers 12 joiners 8 electrician 4 plumbers. The total number of workers will be:

= 3 + 12 + 8 + 4

= 27 workers

It should be noted that combination will be used to choose the 4 workers. This is illustrated as

Combination formula

ⁿCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

where n = 33

r = 4

ⁿCr = n! / ((n – r)! r!)

³³C₄ = 33! / (33 - 4)! 4!

= 33! / 29! 4!

= 33 × 32 × 31 × 30 / 4 × 3 × 2

= 40920 ways

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

7 0

2 years ago

Write -3 2/5 as a rational number

natali 33 [55]

Answer: Your answer is: -17/5

Step-by-step explanation: You just have to convert the mixed number into an improper fraction.

5 0

3 years ago

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HELP ME PLEASE!

shusha [124]

Answer:

Part A) The probability is closer to 0, because is less than 50%

Part B) The probability is closer to 1, because is greater than 50%

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

$P=\frac{x}{y}$

Part A) Is the probability of hitting the black circle inside the target closer to 0 or 1?

In this problem we have

x------> is the area of the black circle

y------> is the total area of the square target

<em>Find the area of black circle</em>

$r=3/2=1.5\ units$

$x=(3.14)(1.5)^{2} =7.065\ units^{2}$

<em>Find the total area of the square target</em>

$y=9^{2}=81\ units^{2}$

Find the probability

$P=\frac{7.065}{81}=0.0872$

Convert to percentage

$0.0872*100=8.72\%$

The probability is closer to 0, because is less than 50%

Part B) Is the probability of hitting the white portion of the target closer to 0 or 1?

In this problem we have

x------> is the area of the white portion of the target

y------> is the total area of the square target

<em>Find the area of the white portion</em>

The area is equal to the area of the square minus the area of the circle

$x=81-7.065=73.935\ units^{2}$

Find the probability

$P=\frac{73.935}{81}=0.9128$

Convert to percentage

$0.9128*100=91.28\%$

The probability is closer to 1, because is greater than 50%

4 0

3 years ago