The time spent to travel a certain distance varies inversely as a car's speed. If it takes 5½ hours to travel a certain distance
1 answer:
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Answer:
1)
2)
Step-by-step explanation:
You can convert he mixed numbers to improper fractions:
1. Multiply the whole number part by the denominator of the fraction.
2. Add the product obtained to the numerator.
3. The denominator does not change.
Then:
Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:
Divide 15 by 4. The quotient will be 3 and the remainder 3.
Then:
Answer:
And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:
And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C
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
Let X the random variable that represent the maximum monthly temperature of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:
And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C
Solution of 8 x 4 - 4 divided by 2 +1 is 9.33
<h3><u>Solution:</u></h3>Given that,
8 x 4 - 4 divided by 2 +1
We have to compute the above equation
Let us write the given sentence mathematically:
Let us BODMAS rule to solve the above expression
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.
So let us first perform multiplication of 8 and 4 in numerator
Now we can perform addition of 2 and 1 in denominator
Now we can perform subtraction of 4 from 32 in numerator
Now perform division of 28 by 3
Thus solution of 8 x 4 - 4 divided by 2 +1 is 9.33