Answer:
10 games
Step-by-step explanation:
Let C be cost and x be number of games
Arcade A: C = 5 + 0.6x
Arcade B: C = 7 + 0.4x
for both arcades to be the same price, Both C's must be equal, hence we equate the right side of both equations:
5 + 0.6x = 7 + 0.4x (subtract 5 fromboth sides)
0.6x = 7 + 0.4x - 5
0.6x = 2 + 0.4x (subtract 0.4x from both sides)
0.6x - 0.4x = 2
0.2x = 2 (divide both sides by 0.2)
x = 2 / (0.2)
x = 10
M∠LON=77 ∘ m, angle, L, O, N, equals, 77, degrees \qquad m \angle LOM = 9x + 44^\circm∠LOM=9x+44 ∘ m, angle, L, O, M, equals, 9,
timama [110]
Answer:
Step-by-step explanation:
Given
<LON = 77°
<LOM = (9x+44)°
<MON = (6x+3)°
The addition postulate is true for the given angles since tey have a common point O:
<LON = <LOM+<MON
Since we are not told what to find we can as well look for the value of x, <LOM and <MON
Substitute the given parameters and get x
77 = 9x+44+6x+3
77 = 15x+47
77-47 = 15x
30 = 15x
x = 30/15
x = 2
Get <LOM:
<LOM = 9x+44
<LOM = 9(2)+44
<LOM = 18+44
<LOM = 62°
Get <MON:
<MON = 6x+3
<MON = 6(2)+3
<MON = 12+3
<MON = 15°
I hope this helps you
s' (t)=0-4
s' (t)=-4
t=8
s' (8)=-4
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent points in a game of bowling of a population, and for this case we know the distribution for X is given by:
Where 
and 
We know that the value for Renee is X=175 and the z score obteined was Z=2.
Solution to the problem
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We are interested on the value of 
and we can solv for it:
And replacing the values we have:
