Step-by-step explanation:
You are correct, it should either be ∫₁² (x)² dx or ∫₀¹ (x+1)² dx.
3x+17+5=7x+10
3x+22=7x+10
3x-7x=10-22
-4x-=-12
4x=12
X= 12/4
X=3
Trish would run 1 mile in:
50 mins/ (3 miles)= 50/3 mins/ 1 mile
If she ran 12 miles, it would take her:
50/3 mins/ 1 mile* 12 miles= 200 mins
Hope this would help~
The probability of a foot of male being between 10 and 12. 5 inches is 59%.
<h3>Define the term normal distribution?</h3>
- The normal distribution approximates any real-valued random distribution which clusters around one single mean value.
- A cumulative frequency is a procedure that determines if the total amount of information in such a data set is less than and equal to a specific value.
The z score of the distribution is found as-
z = (x - μ)/σ
In which,
μ = mean = (11)
σ = standard distribution (1.5)
The likelihood that a male's foot measures between 10 and 12. 5 inches.
P(10 < x < 12.5)
For x = 10
z = (10 - 11) / 1.5
z = -0.67
check the p-value fro z score table.
p (z = -0.67) = 0.2514
For x = 12.5
z = (1.5 - 11)/1.5
z = 1
p (z = 1) = 0.8413
P(10 < x < 12.5) = 0.8413 - 0.2514
P(10 < x < 12.5) = 0.5899
P(10 < x < 12.5) = 58.99%
P(10 < x < 12.5) = 59%.
Thus, the likelihood of a male's foot being between 10 and 12. 5 inches is 59%.
To know more about the normal distribution, here
brainly.com/question/4079902
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The complete question is attached in figure.