From Mickey Grace to Everyone:

Suppose 180 geology students measure the mass of an ore sample. due to human error and limitations in the reliability of the ba

Over [174]

Given the total number of students are 180, the mean of data is 88g, and standard deviation is 1g.

A normal curve is a bell-shaped curve with symmetry about the mean and it spreads uniformly on both sides (left side and right side) of the mean.

The empirical rule is also called "68-95-99.7" rule. It says that :-

A) 68% of the data values fall between 1 standard deviation about mean (34% on left side and 34% on right side),

B) 95% of the data values fall between 2 standard deviations about mean (47.5% on left side and 47.5% on right side), and

C) 99.7% of the data values fall between 3 standard deviations about mean (49.85% on left side and 49.85% on right side).

According to distribution of normal curve and "68-95-99.7" empirical rule, we can say 49.85% of data values are above the mean within 3 standard deviations.

So it means 49.85% of total students report readings more than 88g.

Number of students reporting readings more than 88g = 49.85% of 180 = 0.4985 × 180 = 89.73

Hence, approximately 89 students report readings more than mean value.

3 0

3 years ago

Find the equation lines (4, 5)(7, 3)

mash [69]

Step-by-step explanation:

Hey there!

The equation of a st.line passing through points (4,5) and (7,3) is;

$(y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)$

Put all values.

$(y - 5) = \frac{3 - 5}{7 - 4} (x - 4)$

Simplify it.

$(y - 5) = \frac{ - 2}{3} (x - 4)$

$3(y - 5) = - 2x + 8$

$3y - 15 = - 2x + 8$

$2x + 3y - 23 = 0$

Therefore therequired equation is 2x+3y-23=0.

Hope it helps..

8 0

4 years ago

PLEASE HELP ME GIVING 30 POINTS!!!

kramer

Using trigonometric identities, it is found that the sine and the tangent of the angle are given as follows:

$\sin{\theta} = \frac{1}{2}$ .

$\tan{\theta} = -\frac{\sqrt{3}}{3}$

<h3>How do we find the sine of an angle given the cosine?</h3>

We use the following identity:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

In this problem, the cosine is:

$\cos{\theta} = -\frac{\sqrt{3}}{2}$

Hence the sine is found as follows:

$\sin^{2}{\theta} + \left(-\frac{\sqrt{3}}{2}\right)^2 = 1$

$\sin^{2}{\theta} + \frac{3}{4} = 1$

$\sin^{2}{\theta} = \frac{1}{4}$

$\sin{\theta} = \pm \sqrt{\frac{1}{4}}$

Second quadrant, so the sine is positive, hence:

$\sin{\theta} = \frac{1}{2}$

<h3>What is the tangent of an angle?</h3>

The tangent is given by the sine divided by the cosine, hence:

$\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}$

Hence:

$\tan{\theta} = \frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2}}$

$\tan{\theta} = -\frac{1}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

$\tan{\theta} = -\frac{\sqrt{3}}{3}$

More can be learned about trigonometric identities at brainly.com/question/7331447

#SPJ1

5 0

2 years ago

Find the percent change 50 is decreased to 14.

marusya05 [52]

Answer:

<h2>50, percentage decreased by 14% (percent) of its value = 43</h2>

5 0

2 years ago

Please help me answer this so i dont fail its due very soon!! i will mark you brainliest

monitta

I think it’s 77 feet

4 0

3 years ago