Answer:
Domain: 6,10,8,20
Step-by-step explanation:
Domain is basicly the x-value.
Answer:
Step-by-step explanation:
The model for an exponencial function is:
'c' is the value of the asymptote, so we have c = 3.
To find the value of 'a', let's use the point (0,5):
Now, to find the value of 'b', let's use the point (1, 7):
So our function is:
Let's check if the point (-1, 4) is inside our function:
Answer:
Step-by-step explanation:
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = variable
µ = mean output
σ = standard deviation
From the information given,
µ = 14
σ = 3
1) P(x < 20)
For x = 20,
z = (20 - 14)/3 = 2
From the normal distribution table, the corresponding probability value is 0.98
% = 0.98 × 100 = 98%
2) P(11 ≤ x ≤ 17)
For x = 11,
z = (11 - 14)/3 = - 1
From the normal distribution table, the corresponding probability value is 0.16
For x = 17,
z = (17 - 14)/3 = 1
From the normal distribution table, the corresponding probability value is 0.84
P(11 ≤ x ≤ 17) = 0.84 - 0.16 = 0.68
% = 0.68 × 100 = 68%
3) P(x > 14) = 1 - P(x ≤ 14)
For x = 14,
z = (14 - 14)/3 = 0
From the normal distribution table, the corresponding probability value is 0.5
P(x > 14) = 1 - 0.5 = 0.5
% = 0.5 × 100 = 50%
4) P(5 ≤ x ≤ 17)
For x = 5,
z = (5 - 14)/3 = - 3
From the normal distribution table, the corresponding probability value is 0.00135
For x = 17,
z = (17 - 14)/3 = 1
From the normal distribution table, the corresponding probability value is 0.84
P(5 ≤ x ≤ 17) = 0.84 - 0.00135 = 0.839
% = 0.839 × 100 = 83.9%
a is correct
Step-by-step explanation:
Area of Bigger rectangle = 4x2 + 5x - 2
Area of Smaller rectangle = x2 + 3× + 5
diff. = ( 4x2 + 5x - 2) - (x2 + 3x - 5)
= 4x2 + 5x -2-x2 - 3x - 5
= 3x2 + 2x - 7
Answer:
the answer is 90 (typing more to reach the limit)
