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3 years ago

12

What is the value of the sum? Drag and drop the answer into the box to match the sum with its value. 5/6 + (-1/2) A -1/3 b-1/3 1

/3 2/3 4/3

1 answer:

Jlenok [28]3 years ago

4 0

Answer:

Step-by-step explanation:

5/6 + (-1/2) =

5/6 - 1/2 =

5/6 - 3/6 =

2/6 which reduces to 1/3 <====

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Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

2 years ago

Value of ratio 3/4 to 2

MrMuchimi

Answer:

3/8 or 0.375

Step-by-step explanation:

0.75/2 = 3/8

4 0

3 years ago

The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount

Ivahew [28]

Answer:

8-i=g

Step-by-step explanation:

g= amount of rain Groesbeck gout

i = inches of rain

8 0

2 years ago

Read 2 more answers

Evaluate the expression for x = 3, y = 1/3 , and z = 5.<br><br> 12x − 3y / 4x − z

bixtya [17]

Answer:

30.25 in decimal form

30 1/4 in fraction form

Step-by-step explanation:

12(3) − 3(1/3) / 4(3)− (5) = 30.25 or 30 1/4

8 0

2 years ago

Read 2 more answers

Which expression represents the volume, in cubic

muminat

Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

$V_1=length\times breadth\times height$

$V_1=(8)(6)(4)$

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

$V_2=\dfrac{1}{3}\times length\times breadth\times height$

$V_2=(\dfrac{1}{3})(8)(6)(6)$

The volume of composite figure is

$V=V_1+V_2$

$V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)$

It can be written as

$V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)$

Therefore, the correct option is A.

3 0

3 years ago