Since we are going to check the similarity of the triangles and we have given two sides and angle we have to check the Side-Angle-Side option of the similarity. We have equal angles. Then, we have to check the proportionality of the sides. If these triangles are equal, then VT/QR=UT/RS. If we calculate it, 28/7=44/11=4. This last number is the similarity ratio and since we have proportionality, ΔQRS <span>~ </span>ΔVTU. The correct answer is D)
The only number all of these numbers can be divided by is 2. Therefore, the GCF is 2
They would meet 30 times after 10 minutes.
Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:
- 30 x 20 + 2 x 20 = 60 + 40 = 100
- 10 minutes = 600 seconds
- 600/20 = X
- 30 = X
Therefore, they would meet 30 times after 10 minutes.
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Answer:
And using the normal standard distribution or excel 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 weights of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the dsitribution for x is normal then we know that the distribution for the sample mean 
is given by:
We want to find this probability:
And we can use the z score formula given by;
And if we find the z score for the limits given we got:
So we can calculate this probability like this:
And using the normal standard distribution or excel we got:
Answer:
1.5m +4.5
Step-by-step explanation:
This is the function 1.5m +4.5
