1. 45.8-7.48=38.32 in
2. 5/6-3/4=10/12-9/12= 1/12 miles farther
Answer:
16% of students will complete the exam in less than 60 minutes
Step-by-step explanation:
The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 70
Standard deviation = 10
What percentage of students will complete the exam in less than 60 minutes
60 = 70-10
So 60 is one standard deviation below the mean
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.
16% of students will complete the exam in less than 60 minutes
Since T is the midpoint of PQ, this means that PT and TQ must be equal to each other. Make them equal to each other in an equation.
PT = TQ
4x + 2 = 7x - 7
- Subtract 2 from both sides.
4x = 7x - 9
- Subtract 7x from both sides.
-3x = -9
<u>x = 3</u>
- Now substitute 3 for x into PT.
PT = 4(3) + 2
<h3>PT = 14</h3>
Answer:
see below
Step-by-step explanation:
shape LNMP is :
- flip of mirrored along y-axis
- reflected imaged is ABCD as given
