Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.
<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
Do cross multiplication, we get
Divide by 2x on both sides, we get
Answer:
4 T-shirts and 5 long sleeves shirts.
Step-by-step explanation:
T-shirt cost =$10
Long sleeve shirt cost = $15
Total number of shirts = 9
Total number of T-shirts = 4
Cost of 4 T-shirts = 4 × 10 =$ 40
Total number of long sleeve shirt = 5
Cost of 5 long sleeve shirt = 5 × 15 =$ 75
Verification:
75+40 = $115 proved!
Answer:
And we can find this probability using excel or the normal standard tabe and 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 temperatures 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 using excel or the normal standard tabe and we got:
Answer:
the variable terms are the ones with the letters 6g and 5h
Step-by-step explanation: