Answer:
The probability is 0.8944
Step-by-step explanation:
The probability of Z<1.25 in a normal distribution is
P(Z<1.25) = 0.5 + P(Z<1.25)
P(Z<1.25) = 0.5 + 0.3944
P(Z<1.25) = 0.8944
Hence, the probability of randomly selecting a z-score less than z = 1.25 from a normal distribution is 0.8944
Vertex-either the highest point or lowest depending on which way the parabola is (-1,-9)
Y- int- where the graph intersects the y int- (0,-8)
X- int- where the graph intersects the x int- (-4,0) and (2,0)
axis of symmetry- where the line could be folded in half and be the same- x=-1
equation: (x-1)^2 -9=y
Answer:
Paula's Dog = 3 * Carla's Dog
A) PD + CD = 48
B) PD - 3 * CD = 0
Multiplying A) by -1
A) -PD -CD = -48 then adding to B)
B) PD -3*CD = 0
-4 * CD = -48
Carla's dog weighs 12 pounds
Paula's dog weighs 36 pounds
Step-by-step explanation:
Answer:
p = -3.5
Step-by-step explanation:
Simplifying
9 + -4(2p + -1) = 41
Reorder the terms:
9 + -4(-1 + 2p) = 41
9 + (-1 * -4 + 2p * -4) = 41
9 + (4 + -8p) = 41
Combine like terms: 9 + 4 = 13
13 + -8p = 41
Solving
13 + -8p = 41
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + -8p = 41 + -13
Combine like terms: 13 + -13 = 0
0 + -8p = 41 + -13
-8p = 41 + -13
Combine like terms: 41 + -13 = 28
-8p = 28
Divide each side by '-8'.
p = -3.5
Simplifying
p = -3.5
Answer:
3) 36
2) 55
Step-by-step explanation:
We have to place the numbers in order from least to greatest.
3) 23, 26, 26, 32, 32, 36, 50, 52, 52, 52, 59,
4) 40, 42, 49, 54, 62, 67, 67, 70, 95
The more is the the difference between the lowest and highest values.
95-40=55
