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Kobotan [32]
3 years ago
6

Without multiplying, tell whether the product 0.644 x 0.25 will be greater than 1 or less than 1? Explain how you know.

Mathematics
2 answers:
stepladder [879]3 years ago
7 0

Answer:

Less than 1

Step-by-step explanation:

As 0.644 and 0.25 are less than 1, then

0.644=\frac{1}{p}

0.25=\frac{1}{q}

where p and q are greater than 1

then

0.644\times0.24=\frac{1}{p.q}

But p.q is greater than 1, so 1/(p.q) is smaller than 1

Marat540 [252]3 years ago
3 0

Answer:

Less than 1

Step-by-step explanation:

Both the number are less than 1, i.e 0.64 and 0.25.

Hence, the result will always be less than 1 and will be in zeros.

If you write both numbers in fraction, the denominator will be greater than the numerator, hence the resulting fraction will be less than 1.

Hope this helps.

Good luck and thankyou.

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Given that z is a standard normal random variable, find z for each situation. The area between 0 and z is .4750. Answer The area
algol13

Answer:

P(0

And solving for z we have

P(Z

And we can find the value for z with the following excel code:

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"=NORM.INV(0.67,0,1)"

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

We want this probability:

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And solving for z we have

P(Z

And we can find the value for z with the following excel code:

"=NORM.INV(0.975,0,1)"

And we got z =1.96

For the next part we want to calculate:

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And we can use the complement rule and we got:

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And we can find the value for z with the following excel code:

"=NORM.INV(0.8686,0,1)"

And we got z =1.120

For the next part we want to calculate:

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And we can find the value for z with the following excel code:

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