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-Dominant- [34]
3 years ago
7

A survey among freshman at a certain university revealed that the number of hours spent studying before final exams was normally

distributed with mean 25 and standard deviation 15. A sample of 36 students was selected. What is the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours
Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer: 0.0775

Step-by-step explanation:

Given : Mean : \mu = 25

Standard deviation : \sigma =15

Sample size : n=36

Since its normal distribution , then the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x= 28.2 hours

z=\dfrac{28.2-25}{\dfrac{15}{\sqrt{36}}}=1.28

For x= 30 hours

z=\dfrac{30-25}{\dfrac{15}{\sqrt{36}}}=2

The P- value = P(1.28

=P(z

Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775

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Find mZPQR.<br> help asap
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<h3>Answer: D) 72</h3>

======================================

Work Shown:

Angle PQR = (far arc - near arc)/2

2x+72 = ( (2x+252) - (2x+108) )/2

2x+72 = 144/2

2x+72 = 72

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ALGEBRA 2 HELP!!!!!!
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42.667 mm to 42,673 mm

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3 years ago
What is the linear function equation represented by the graph?<br><br><br> f(x)=______________
Katen [24]

The linear function equation represented by the graph is \boxed{y =  - \frac{1}{2}x + 1}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Given:

Explanation:

From the graph it has been observed that the line passes through the points \left( {0,1} \right) and \left( {2,0} \right).

The line intersect y-axis at \left( {0,1} \right).

Therefore, the y-intercept is 1.

The line the line passes through the points \left( {0,1} \right) and \left( {2,0} \right).

The slope can be obtained as follows,

\begin{aligned}m&=\frac{{0 - 1}}{{2 - 0}}\\&= \frac{{ - 1}}{2}\\\end{aligned}

The slope of the line is - \dfrac{1}{2}.

Substitute - \dfrac{1}{2} for m and 1 for c in equation y = mx + c to obtain the equation of the line.

y = - \dfrac{1}{2}x + 1

The linear function equation represented by the graph is \boxed{y =  - \frac{1}{2}x + 1}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

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