Answer:
the number of black tokens in the bag is 2
Step-by-step explanation:
The computation of the number of black tokens in the bag is as followS
Given that
There is 8 green tokens
and, the ratio of green tokens to black tokens is 4:1
So let us assume the black tokens be x
So,
Now do the cross multiplication
x = 2 tokens
Hence, the number of black tokens in the bag is 2
Answer:
Step-by-step explanation:
In order to find the measure of angle KMI, we need to note some angle relationships here.
GK and HJ are parallel lines cut by a transversal, meaning the angles formed by this transversal line will be the same along the parallel lines.
We know that the 29° angle is an alternate interior angle to KMI. This means their angle measures are the same.
Therefore, KMI is also 29°.
Hope this helped!
Answer:
And if we solve for we got
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 scores of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
For this case we know these conditions:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.49 of the area on the left and 0.51 of the area on the right it's z=-0.025. On this case P(Z<-0.025)=0.49 and P(z>-0.025)=0.51
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for we got