The function h(t)=6+3ln(t+1) is a logarithmic function
The height of the tree will exceed 18 feet after 53.6 years
<h3>How to determine the number of years?</h3>
The function is given as:
h(t)=6+3ln(t+1)
When the height is 18 feet, we have:
6+3ln(t+1) = 18
Subtract 6 from both sides
3ln(t+1) = 12
Divide both sides by 3
ln(t+1) = 4
Take the exponent of both sides
t + 1 = e^4
Evaluate the exponent
t + 1 = 54.6
Subtract 1 from both sides
t = 53.6
This means that the height of the tree will exceed 18 feet after 53.6 years
Read more about logarithmic functions at:
brainly.com/question/25953978
Answer:
standard error = 1.63
Step-by-step explanation:
To calculate the standard error we need to know the standard deviation (σ) and the sample size (n) (see the attached formula).
To obtain the standard deviation we use the given sample variance of 77.4 years:
σ²= variance
Therefore:
σ = √77.4 = 8.8
Now we can calcuate the estimated standard error:
standard error = σ /√n = 8.8/√29 = 1.63
The standard error gives us an estimation about how far the mean of the sample is from the mean of the entire population, and in this case is 1.63.
Answer:
AB = 42.15 units
Step-by-step explanation:
In triangle ABD,
By applying Cosine rule in this triangle,
cos(30)°= 
= 
AD = 
By applying tangent rule in ΔACD,
tan(44)° = 
tan(44)° = 
0.9657 = 
0.9657 = 
x = 
x = 42.15
≈ 42.2 units
Answer:
15
Step-by-step explanation:
3 stars = 18
1 star = 6
14-6=8/2 = 4
1 heart = 4
1 spade = -1
4 + -1= 3
3 + (2 stars)
3 + 12 = 15
Answer:
single sample z test
Step-by-step explanation: The correct statistics test is the single sample A test.
A one-sample z-test is used to test whether a population parameter is remarkably different from some hypothesized value. Each makes a statement about how the true population mean μ is related to some hypothesized value M. It is used to test whether the mean of a population is greater than, less than, or not equal to a specific value.
