Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
Take n = 1
Substitute 1 for n in
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
Answer:
$20
Step-by-step explanation:
New shoes = $80
What Ellie Saved = $60
80 - 60 = 20
To make sure this is correct simply add 20 to 60.
60 + 20 = 80
Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
Answer:
Domain: x=(0,∞)
Range: f(x)=(-∞,∞)
Step-by-step explanation:
For the domain:
The square root of a number is defined in real numbers only for positive numbers.
For the range:
The square root of a number could be positive or negative with any restriction. For example, 
could be 5 or -5.
