Additive Inverse of 63 = -63
Since the additive inverse of 63 is -63, additive inverse is also known as the opposite number.
45 degreesssss please brainliest answer plsss.
Answer:
Step-by-step explanation:
Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 6 minutes
σ = 1 minute
the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as
P(4 ≤ x ≤ 8)
For x = 4,
z = (4 - 6)/1 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75
The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is
0.75 × 100 = 75%
Answer:
Diapers costs $11 and formula is $13.
Step-by-step explanation:
Let's name diapers as A and formula as B.
Simply the equations:
1A + 2B = $37(1)
2A + 5B = $87(2)
Clear D from one equation.
A = $37 - 2B(1)
Replace D into the other equation.
2*($37 - 2B) + 5B = $87(2)
$74 - 4B + 5B = $87
$74 + B = $87
B = $87 - $74 = $13
Find A, now knowing B.
A = $37 - 2($13)
A = $37 - $26 = $11
The angles inside a triangle add up to 180°
The 3rd angle is supplementary to (6x+1)°
Supplementary means they make a straight line (i.e 180°)
1st angle = 79°
2nd angle = (2x+10)°
3rd angle = 180° - (6x+1)°
180 = 79 + (2x+10) + 180 - (6x+1)
180 = 79 + 2x + 10 + 180 - 6x - 1
combine like terms
180 - 180 - 79 - 10 + 1 = 2x - 6x
-88 = -4x
-88/-4 = x
22 = x
