Answer:
8.4 cm
Step-by-step explanation:
The sides involved are opposite and adjacent to the given angle. Therefore, you should use the tangent ratio.
Substitute:
tanx = opp/adj
tan35 = x/12
Multiply by 12 on both sides:
12(tan35) = (x/12)12
12(tan35) = x
Solve:
12(tan35) = x
8.4 = x
Answer:
And we can find this probability with the complement rule:
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 disagreements 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:
Answer:
3.25
Step-by-step explanation:
13÷4=3.25
Everyone gets 3.25 kg of chocolate
We will take the common terms in the expressions-
Here in the expression, 3y is a common term.
So,


So, the answer is
Answer:
The proportion would be 0.1
Step-by-step explanation:
Given, the function that shows the proportion of students in a psychology experiment who could remember an eight-digit number correctly for t minutes,

If t = 7 minutes,

Hence, the proportion that remembered the number for 7 minutes is 0.1 ( approx )