Use the point-slope form y-y1=m(x-x1) to find the equation of the line
y = 3/19x + 132/19
Answer:
1.25 miles
Step-by-step explanation:
Lisa takes a night walk after dinner every night.
She walks 1/4 mile in 2 minutes.
Distance = 1/4 mile
Time, t = 2 minutes
For covering 1 mile,
1/4 mile = 2 minutes
In 1 minute she will cover
For 10 minutes, she will cover
So, she will cover 1.25 miles.
Answer:
m<RST = 32°
m<TSQ = 58°
Step-by-step explanation:
m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.
m<RSQ + m<TSQ = m<RST
15x — 43 + 8x + 18 = 90
23x — 25 = 90
+25 +25
---------------------------
23x = 115
/23 /23
----------------------------
x = 5
Now, plug this into the equation for m<RSQ and m<TSQ to find their values.
m<RSQ = 15x — 43
= 15x - 43
= 15(5) - 43
= 75 - 43
= 32
m<TSQ = 8x + 18
= 8x + 18
= 8(5) + 18
= 40 + 18
= 58
Now, check to see if our values are right or not.
15x — 43 + 8x + 18 = 90
15(5) — 43 + 8(5) + 18 = 90
75 - 43 + 40 + 18 = 90
32 + 40 + 18 = 90
90 = 90 <u>CORRECT</u>
a. Let be a random variable representing the weight of a ball bearing selected at random. We're told that , so
where . This probability is approximately
b. Let be a random variable representing the weight of the -th ball that is selected, and let be the mean of these 4 weights,
The sum of normally distributed random variables is a random variable that also follows a normal distribution,
so that
Then
c. Same as (b).
I think the answer is $166,742.24