Answer:
1. 68%
2. 50%
3. 15/100
Step-by-step explanation:
Here, we want to use the empirical rule
1. % waiting between 15 and 25 minutes
From what we have in the question;
15 is 1 SD below the mean
25 is 1 SD above the mean
So practically, we want to calculate the percentage between;
1 SD below and above the mean
According to the empirical rule;
1 SD above the mean we have 34%
1 SD below, we have 34%
So between 1 SD below and above, we have
34 + 34 = 68%
2. Percentage above the mean
Mathematically, the percentage above the mean according to the empirical rule for the normal distribution is 50%
3. Probability that someone waits less than 5 minutes
Less than 5 minutes is 3 SD below the mean
That is 0.15% according to the empirical rule and the probability is 15/100
Answer:
x= - 35 over 89
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2
7
x−23+5x=18(x−1)
2
7
x+−23+5x=(18)(x)+(18)(−1)(Distribute)
2
7
x+−23+5x=18x+−18
(
2
7
x+5x)+(−23)=18x−18(Combine Like Terms)
37
7
x+−23=18x−1837
7
x−23=18x−18
Step 2: Subtract 18x from both sides.
37
7
x−23−18x=18x−18−18x
−89
7
x−23=−18
Step 3: Add 23 to both sides.
−89
7
x−23+23=−18+23
−89
7
x=5
Step 4: Multiply both sides by 7/(-89).
(
7
−89
)*(
−89
7
x)=(
7
−89
)*(5)
x=
−35
89
Step-by-step explanation:
Answer:
<h3><em>X=14.4</em></h3>
<em>Step-by-step explanation:</em>
<em>As triangles are similar </em>
<em>The ratio of the sides must be equal</em>
<em>so..</em>
<em />
<em />
<em />
<em />
<em />
<em />
<em>hope it helps...</em>
<em>have a great day!!</em>
Answer:
Prime
Step-by-step explanation:
Answer:
Yes he did break the speed limit
Step-by-step explanation:
If he stuck to the speed limit it would have taken him 6 hours to go 540 kilometers