Answer:
68%
Step-by-step explanation:
The mean is 32 minutes, and the standard deviation is 4 minutes.
28 is 1 standard deviation below the mean, and 36 is 1 standard deviation above the mean.
According to the empirical rule, 68% of a normal distribution is between -1 and 1 standard deviations. 95% is between -2 and 2 standard deviations. 99.5% is between -3 and 3 standard deviations.
So the answer is 68%.
Answer:
Step-by-step explanation:
1.41
Answer:
Correct answer is
Step-by-step explanation:
As per the given diagram, we know the following details:
Height of the triangular pyramid is <em>14m</em>.
<em>Side of base</em> = <em>10m
</em>
Height of Triangular base = <em>8.7m</em>
Formula for <em>surface area of triangular pyramid</em>:

(Triangular base is shown in the dotted lines in the question figure.
The other 3 triangles are the side triangles.)
We know that,


Hence correct answer is
.
The equation that model a quadratic function is: y=0.9673x²-0.8475x+10.4334
Step-by-step explanation:
A quadratic function has the form of ;
f(x) = ax²+bx+c where a, b and c are real numbers and a≠0
For this case, equation y=0.9673x²-0.8475x+10.4334 models a quadratic function where a>0 thus the parabola opens upwards
See attached figure below to visualize the graph
Learn More
Quadratic functions graphs: brainly.com/question/9048896
Keywords : equation, quadratic model, data set, calculator, spreadsheet program.
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Given:
Consider the equation is:

To prove:
by using the properties of logarithms.
Solution:
We have,

Taking left hand side (LHS), we get

![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)

![[\because \log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20x%5En%3Dn%5Clog%20x%5D)

![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)

Hence proved.