Answer: This parabola has 0.3875 x-intercepts,
<span>representing the times when the dolphin's height above water is </span>
0 feet.
The x-intercept is the point where the graph crosses the x-axis, which is when the value is y=0.
The calculation for y=0 would be
<span>Y = -16x2 + 32x - 10
</span><span>0 = -16x2 + 32x - 10
</span>-8x2 + 16x - 5=0
-b +-√(b^2-4ac) /2a=
-16 +-√(16^2-4(-8)(-5)) /2(-8) =
-16+- √(256-160/ -16 =
-16+- √(96/ -16 =
-16+- 9.8/ -16 =
x1= 0.3875
x2= -1.6125
Answer:
Pierre is right
Step-by-step explanation:
The correct formula for Exponential growth rate is given as:
y = a( 1 + r) ^t
Where
y = Amount after time t
a = Initial amount
r = Growth rate
t = time
From the question
a = 300
r = 2% = 0.02
Hence, our exponential growth rate =
y = 300( 1 + 0.02)^t
y = 300( 1.02)^t
Therefore, Pierre is right
Answer:
<h2>
$5.03</h2>
Step-by-step explanation:
Given data
Sample Mean (M): $48.77
Sample Size (n): 20
Standard Deviation (σ) : $17.58
Confidence Level: 80%
we know that z*-Values for 80% Confidence Levels is 1.28
the expression for margin of error is given bellow\
MOE= z*σ/√n
We can now substitute into the expression and solve for the MOE as
MOE= 1.28*17.58/√20
MOE= 22.502/4.47
MOE= 22.502/4.47
MOE= 5.03
The margin of error for a 80 % confidence interval is $5.03
