Answer:
Step-by-step explanation:
<u>Given:</u>
and
<u>Find g(f(x)), substitute the value of f(x) into equation:</u>
- g(f(x)) = g(2x + 1) = (2x + 1) - 3 = 2x - 2
Answer:
You can tell by using the degrees of the angles and the lengths of the sides, congruent triangles will have the same angle measures and same side lengths where as similar triangles will have the same angle measures but different side lengths.
Step-by-step explanation:
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
To find the total number of text messages sent, you will use the stem-n-leaf plot to create a data set of all the numbers of texts sent.
To read a stem-n-leaf plot you will use the number on the left as the tens place and each number to the right of it creates a new number in the data set.
See the key for help!
Here is the list of the all the data:
0, 0, 7, 9, 10, 10, 15, 20, 23, 32
To find the total number of text messages sent, add these together.
The answer is 126 text messages.
5x+(-4)-5x=6x+4-5x
-4=x+4
x=-8
To get rid of 5x on the left side.
