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2 years ago

QUESTION 4

Mathematics

2 answers:

katrin2010 [14]2 years ago

5 0

Complete Question Statement:

QUESTION 4

Select the equation in which you use the zero property of multiplication to find the solution.

A.) (20 x 1/20) - 7 = -6

B.) (4/7 X 7/4) - 8 = -7

C.) (- 1/6 x 0) + 8 = 8

D.) [7 x (6/7 - 5/7)] + 4 = 5

Answer:

Option C i.e. C.) (- 1/6 x 0) + 8 = 8 is the correct option in which you use the zero property of multiplication to find the solution.

Step-by-Step Explanation:

The multiplication property is said to be the property which states that the result of any product number would be zero, if any number of the product is multiplied with zero.

For example, if you multiply 4 with zero, you answer will be zero.

i.e. 4 x 0 = 0

Whatever the number you have, the result will be always be zero if you multiply it with zero.

Out of all the given options, only option C a clear answer as it involves the zero multiplied with - 1/6.

So, the product of 0 and - 1/6 would be zero i.e. 0 x - 1/6 = 0

As - 1/6 x 0 = 0, hence, the complete equation would be computed as:

(- 1/6 x 0) + 8 = 8

0 + 8 = 8 ∵ - 1/6 x 0 = 0

8 = 8

So, the equation becomes true when substitute - 1/6 x 0 = 0 in it.

Therefore, Option C i.e. C.) (- 1/6 x 0) + 8 = 8 is the correct option in which you use the zero property of multiplication to find the solution.

Keywords: zero property of multiplication , solution, equation

Lear more about zero property of multiplication from brainly.com/question/13304038

#learnwithBrainly

ANEK [815]2 years ago

3 0

(2x-1)(x+4)=0

Step-by-step explanation:

A random zero property of multiplication is taken to find the solution

(2x-1)(x+4)=0

consider a=2x-1 and b=x-4 a.b=0

either a or b or both must be 0

equating both the equations

2x-1=0 or x=4=0 x-4=0

2x-1=0 x=4

2x=1

x=1/2

substitute the values of x in the main equation

[2(1/2)-1][(1/2)+4]=0

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2 years ago

Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random

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Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

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The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

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The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P( $\bar X$ > $52,000)

P( $\bar X$ > $52,000) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } }$ ) = P(Z > 2.53) = 1 - P(Z $\leq$ 2.53)

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Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

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