Answer:
See explanation
Step-by-step explanation:
<u><em>1st photo:</em></u>
x = 
= 15
x =
<u><em>2nd photo:</em></u>
(a) GEH ~ FGH ~ FEG
<em>similar triangles, use similar corners in the right order</em>
(b) 
AND 
<em>similar triangles, use similar sides in proportion</em>
<em />
<u><em>3rd photo:</em></u>
x = 4.5 or 4 1/2
<em>2x = 9</em>
<em>x = 4.5 or 4 1/2</em>
<em />
<u><em>4th photo:</em></u>
Length of string = 118.2 ft
<em>sin(40) = 76/x</em>
<em>x = 76/sin(40) = 118.2</em>
Answer:
1/5
Step-by-step explanation:
The stick has a length of 5 units
The stick is broken at two points chosen at random
First break: the probability that you get a piece that is 1 unit or longer than 1 units= 1/5.
Second break, the probability that you get a piece that is 1 unit or longer than 1 units is 1/5.
Therefore,
The total probability =probability of first break * probability of second break * original stick unit
=1/5 * 1/5 * 5
= 1/25 *5
=5/25
=1/5
Answer:
The correct option is (D).
Step-by-step explanation:
Percentiles are statistical measures that are used to interpret data. It represents the data value which is more that a specific percentage of the data set.
The <em>n</em>th percentile of a data set is the value that is more that <em>n</em>% of the data set.
⇒ It is provided that a test-taker's score was at the 94th percentile for their verbal grade.
This statement implies that the test taker scored a mark more than 94% of the other test-takers, i.e. he\she performed better than 94% of the other test-takers in the verbal grade.
⇒ Also the test-taker's score was at the 16th percentile for their quantitative grade.
This implies that the test taker scored a mark more than 16% of the other test-takers, i.e. he\she performed better than 16% of the other test-takers in the quantitative grade.
Thus, the correct option is (D).
Ok so in order to do this, you have to set up an equation. Let's make a=the score of the first test and b=the score of the second test. (You can choose different variables, it doesn't matter.) It says the sum of the two equals 170. So, a+b=170. It also says that the score of the first was 6 less than the second. This can be shown as a=b-6. Now you can plug this in for a in your original equation. It will look like:
(b-6)+b=170
You can solve for b.
2b-6=170
2b=176
b=88
Since you want a, plug into either equation for b. I'll use the second one.
a=88-6
So, a=82
Answer:
D.
Step-by-step explanation:
A.
9 (x - 3) = 9x - 27 ➡ 0 = 0 (this has infinite solutions)
B.
9x - 3 = 9x - 3 ➡ 0 = 0 (has infinite solutions)
C.
9x - 3 = 27x - 3 ➡ x = 0 (has one solution)
D.
9 (x + 3) = 9(x + 10) ➡9x +27 = 9x +90➡ 9x -9x = 90 - 27 ➡ 0 = 63 (doesn't make sense so it has no solution)
