Answer:
18.5
Step-by-step explanation:
In the above question, we are given the following values
Cumulative probability ( confidence interval) = 0.95 = 95%
Mean = 10.5
Standard deviation = 4.10
We are asked to find the value of x.
To solve for x , we would be using the z score formula.
z score = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z score was not given in the question, but we have our cumulative probability as 95%(0.95).
Using the appropriate table,
the z score for 95% confidence is z = 1.96.
Therefore,
z score = (x-μ)/σ,
1.96 = x - 10.5/4.10
Cross multiply
1.96×4.10 = x - 10.5
x = (1.96 × 4.10) + 10.5
x = 8.036 + 10.5
x = 18.536
Approximately to 1 decimal place
x = 18.5
Answer:
Below in bold.
Step-by-step explanation:
No repetition.
There are a total of 7 numbers.
For the number to be even it must end in 0, 2 or 8.
The other 3 numbers will be the number of permutations of 3 from the 6 other numbers.
Number of 4 digit numbers ending in 0
= 6P3 = 6! / 6-3!
= 120.
Now the number could also end in 2 or 8,
so there are 3*120 = 360 4-digit even numbers (no repetition).
With repetition.
There are 3 * 7^3 = 1029 with repetition.
The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
<h3>How to determine the reflection?</h3>
The equation is given as:
f(x) = 2(0.35)^x
The reflection of a function over the y-axis is :
f'(x) = f(-x)
So, we have:
f(-x) = 2(0.35)^(-x)
From the list of options, we have
h(x) = 2(0.35)^(-x)
Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
Read more about reflection at:
brainly.com/question/12040866
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Answer:
2b + 3t = 60
Step-by-step explanation:
2b is the number of wheels on a bicycle
3t is the number of wheels on a tricycle
and 60 is the total number of wheels