Answer:
segment EF over segment LM equals segment FG over segment MN
Step-by-step explanation:
The triangles are similar, not congruent, so any answer choice with the word "congruent" can be ignored.
The sequence of letters in the triangle name tells you the corresponding segments:
- EF corresponds to LM
- EG corresponds to LN
- FG corresponds to MN
Corresponding segments have the same ratio, so ...
EF/LM = FG/MN . . . . . . matches the first answer choice
EF/LM = EG/LN . . . . does not match the 3rd answer choice
Answer:
-3x+25
16
Step-by-step explanation:
Answer:
5.78×10¹⁵
Step-by-step explanation:
The playlist has 12 songs, and he wants the same number of songs for each genre, so he must pick 4 songs per genre.
The number of ways he can choose 4 country songs (ignoring the order) is ₂₂C₄ = 7315.
The number of ways he can choose 4 reggae songs (ignoring the order) is ₁₁C₄ = 330.
The number of ways he can choose 4 pop songs (ignoring the order) is ₅C₄ = 5.
The total number of combinations is 7315 × 330 × 5 = 1.21×10⁷.
Once he has his 12 songs selected, the number of ways he can arrange them is ₁₂P₁₂ = 12! = 4.79×10⁸.
So the total number of possible playlists is:
(1.21×10⁷) × (4.79×10⁸) = 5.78×10¹⁵
Answer:
The probability is 0.9938
Step-by-step explanation:
In this question, we are asked to calculate the probability that the mean blood pressure readings of a group of people is less than a certain reading.
To calculate this, we use the z score.
Mathematically;
z = (mean - value)/(standard deviation/√N)
From the question, we can identify that the mean is 125, the value is 123 , the standard deviation is 9.6 and N ( total population is 144)
Let’s plug these values;
z = (125-123)/(9.6/√144) = 2.5
Now we proceed to calculate the probability with a s score less than 2.5 using statistical tables
P(z<2.5) = 0.9938
Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!
Step-by-step explanation: hope i helped please mark brainliest!