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coldgirl [10]
2 years ago
13

Which geometric figures have a measurable quantity? A. line B. angle C. point D. lin

Mathematics
1 answer:
Jlenok [28]2 years ago
8 0

Answer:

b

Step-by-step explanation:

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Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10
son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
3 years ago
Consider A (-9, 4) and B (11, 17), find the coordinates for point P that partition A to B in a 3: 5 ratio.
Talja [164]

Answer:

C. (-1.5, 8.875)

Step-by-step explanation:

on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by

p = (nx1 + mx2/ m+n, ny1+my2/m+n)

_______________________________________________

Given point

A (-9, 4) and B (11, 17)

ratio 3:5

m:n = 3:5

m+n = 3+5 = 8

coordinate of point p that partition AB

x = (5*-9 + 3*11) / 5+3                   y =    (5*4 + 3*17) / 5+3

x = (-45 + 33) / 8                          y =    (20 + 51) / 8

x = (-12) / 8                                     y =    (71) / 8

x = -3 / 2 = -1.5                                    y =    8.875

Thus, coordinate of point p is (-1.5, 8.875).

7 0
3 years ago
Two birds sit at the top of two different trees. The distance between the first bed and a birdwatcher on the ground is 34 feet t
stira [4]

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle.

The distance between the first bed and the bird watcher on the ground represents the opposite side of the right angle triangle.

The distance between the birdwatcher and the second bird is 47 feet. This represents the hypotenuse of the right angle triangle. To determine the angle of depression, x degrees, we would apply the Sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin x = 34/47 = 0.723

x = Sin^-1(0.723)

x = 46.3 degrees to the nearest tenth.

5 0
3 years ago
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WILL DO ABSOLUTELY ANYTHING FOR THIS ONE HELP ASAP TIMES
Rina8888 [55]

Given:

The graph of a function y=h(x).

To find:

The interval where h(x)>0.

Solution:

From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, h(x)>0 for x and x>3.6.

The function between x=0 and x=3.6 lies below the x-axis. So, h(x) for 0.

Now,

For -1, the graph of h(x) is above the x-axis. So, h(x)>0.

For 0, the graph of h(x) is below the x-axis. So, h(x).

For 1, the graph of h(x) is below the x-axis. So, h(x).

Only for the interval -1, we get h(x)>0.

Therefore, the correct option is A.

3 0
2 years ago
How to write 710,200 in word form
Vilka [71]
Word Form: Seven hundred ten thousand two hundred.
8 0
3 years ago
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