Answer:
0.0025551
Step-by-step explanation:
Given that:
Mean (m) = 40000
Standard deviation (s) = 2500
P(x < 33,000) :
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (33000 - 40000) / 2500 = - 2.8
p(Z < -2.8) = 0.0025551 ( Z probability calculator)
Probability of Tyre wagering out before mileage limit is reached = 0.0025551
Well first you need to show the rest of the problems before i can truely help you sorry.
1 is milli. 2 is kilo. 3 is centi. 4 is meter. 5 is kilogram. 6 is liter.
Answer:
17ft wide
Step-by-step explanation:
The room is 9 by 19ft
Length (x) = 19ft
Width(y) = 9ft
Area of the rug = 119ft^2
x*y = 119 ...........(1)
For the second equation we will make sure the strip around the room is uniform in size
9 - x = 19 - y
-x = 19 - 9 -y
-x = 10 - y
x = y - 10 ..........(2)
Put the value x in equation 1
(y - 10)y = 119
y^2 - 10y = 119
y^2 - 10y - 119 = 0
a = 1, b = -10, c= -119
Use quadratic formula to solve the equation
y = (-b +/-√b^2 -4ac) / 2a
y = [-(-10) +/- √ (-10)^2 - 4(1)(-119)] /2(1)
y = (10 +/- √100 + 476) /2
y = (10+/-√ 576 ) / 2
y = (10 +/- 24) / 2
y = (10 + 24) /2 or (10 - 24)/2
y = 34/2 or -14/2
y = 17 or -7
y = 17 ft
Recall that x = y - 10
x = 17 - 10
x = 7ft
Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals, 
Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.
Unknown:
Number of people attending Lollapalooza and Bonnaroo.
Let the number of people attending Bonnaroo be
.
Therefore, the number of people attending Lollapalooza is equal to 
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,

Substitute and Solve:
Now, we have,
.
Substitute 81000 for
and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo = 
Number of people attending Lollapalooza = 
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.