Answer:
each solo act will last 5 minutes and each ensemble act will last 14 minutes
Step-by-step explanation:
In the first show, we are told that there are 12 solo acts and 3 ensemble acts.
Now since each solo act lasts x minutes, and each ensemble act lasts y minutes and the show lasts 102 minutes, thus we have;
12x + 3y = 102 - - - - eq1
In the second show which lasts 72 minutes, we are told that there will be 6 solo acts and 3 ensemble acts.
Thus,we have;
6x + 3y = 72 - - - - eq2
Now, let's find x and y by subtracting eq 2 from eq1 to give;
6x = 30
Divide both sides by 6 to give;
x = 5
Put 5 for x in eq2;
6(5) + 3y = 72
30 + 3y = 72
3y = 72 - 30
3y = 42
y = 42/3
y = 14
Thus, each solo act will last 5 minutes and each ensemble act will last 14 minutes
Answer:
The average of the four numbers is 79.
Answer:
i would choose 9°
Step-by-step explanation:
The answer is 0.3413 because Explanation:
<span>z=<span><span>x−u</span>σ</span></span>, where <span>u=6 0andσ=10</span>.
Therefore the probability student finish the test between 50 to 60 minutes is,
<span>P<span>(50≤x≤60)</span>=P<span>(<span><span>50−60</span>10</span>≤z≤<span><span>60−60</span>10</span>)</span></span>
<span>P<span>(−1≤z≤0)</span>=P<span>(z≤0)</span>−P<span>(z≤−1)</span></span>
<span>=0.5000−0.1587=<span>0.3413</span></span>
Answer:
IQR = 22
Step-by-step explanation:
IQR Formula:
IQR = Q3 - Q1
In order you find Q3 and Q1, please follow these steps:
1. First, you need to order the list of numbers from least to greatest:
2, 6, 9, 10, 16, 28, 33
2. Then, you need to find the median, or the middle number.
2, 6, 9, 10, 16, 28, 33
3. In order to find IQR, you must find the first and third quartiles.
2, 6, 9, 10, 16, 28, 33
Q1 = 6
Q3 = 28
This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.
Now since you have Q1 and Q3, you follow the formula.
28 - 6 = 22
IQR = 22
