The age of a tree when the diameter is 11 inches is 80.
<h3>What is the age of the tree?</h3>
The age of the tree increases by 10 with a 1 inch increase in the diameter of the trunk. This represents a linear increase.
The equation that can be used to represent the age of a tree given its diameter is :
age of the tree when the diameter is 4 inches + [(difference between 11 inches and 4 inches) x rate of change in age)
10 + (10 x 7) = 80
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Answer:
24%
Step-by-step explanation:
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)^t . What is the rate of decrease of original oxygen?
The formula for Exponential Decrease is given as:
y = a(1 - r)^t
Where
y = Amount after time t
a = Original amount
r = Rate of decrease
t = Time
Comparing both Equations
y = 0.32(0.76)^t = y = a(1 - r)^t
We know that
0.76 = 1 - r
Solving for r
Collect like terms
r = 1 - 0.76
r = 0.24
Converting to Percentage
= 0.24 × 100
= 24%
Therefore, the rate of decrease of original oxygen is 24%
No se;-; think of PEMDAS (parenthesis,exponents,multiplication,division,adding,subtract)
Answer:
the statements given above are true.
Step-by-step explanation:
Given that Frederick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin.
He spun a 4 five times.
The statements true are:
i) For the experimental outcomes to be closer to the predicted outcome, the number of trials should be increased.
iii) If the number of trials is changed, the experimental probability also changes.
iv) If the number of trials is changed, the predicted number of outcomes also changes.
v) If the number of trials is changed, the number of experimental outcomes also changes.
Answer:
1.16
Step-by-step explanation:
Given that;
For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.
This implies that:
P(0<Z<z) = 0.3770
P(Z < z)-P(Z < 0) = 0.3770
P(Z < z) = 0.3770 + P(Z < 0)
From the standard normal tables , P(Z < 0) =0.5
P(Z < z) = 0.3770 + 0.5
P(Z < z) = 0.877
SO to determine the value of z for which it is equal to 0.877, we look at the
table of standard normal distribution and locate the probability value of 0.8770. we advance to the left until the first column is reached, we see that the value was 1.1. similarly, we did the same in the upward direction until the top row is reached, the value was 0.06. The intersection of the row and column values gives the area to the two tail of z. (i.e 1.1 + 0.06 =1.16)
therefore, P(Z ≤ 1.16 ) = 0.877
