Answer:
20349.
Step-by-step explanation:
It is given that,
Total number of toys = 21
Number of toys to be selected = 5
Total number of ways to select 5 toys from 21 toys is
Therefore, the required ways are 20349.
Well, in this case we can take a as the protagonist.
We can, for example, take the a in the first member of the disequation, the 2 in the second one, changing the signs
so
+ 2 > - a
a > - 2
In fact,
"If 2 > - a, then a > -2."
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
Answer: See explanation
Step-by-step explanation:
Total number of text messages = 800
Amount used by Tommy and Mary = 1/2 × 800 = 400
Number of messages uses by Jack and Stefanie = 240
The expression to find the number of messages Cathy uses will be:
= 800 - (1/2 × 800) - 240
Since the expression is 800 - (1/2 × 800) - 240, the number of messages that Cathy will use will be:
= 800 - (1/2 × 800) - 240
= 800 - 400 - 240
= 160 messages
Answer:
The answer is: 10^5=100'000