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dem82 [27]
3 years ago
6

What is the probability of breaking a stick into 3 pieces and forming a triangle?

Mathematics
1 answer:
kicyunya [14]3 years ago
3 0

The probabilities:

-Two break points are selected randomly (and distributed uniformly) on the stick.

The stick is first broken into two pieces. The longest (or rather, not the shortest) is then broken into two.

-The stick is first broken into two pieces. A piece randomly selected with probability 1/2 is then broken into two.

-The stick is first broken into two pieces. A piece randomly selected with the probability proportional to its length is then broken into two.

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Suppose the mean GPA of all students graduating from a particular university in 1975 was 2.40. The registrar plans to look at re
ycow [4]

Answer:

Correct option:

(B) <em>H₀</em>: <em>μ</em> = 2.40 vs. <em>Hₐ</em>: <em>μ</em> ≠ 2.40.

Step-by-step explanation:

The registrar of particular university in 1975 plans to look at records of students graduating last year to see if the mean GPA has changed from 2.40.

The registrar can use a single mean test to determine whether the mean has changed or not.

The hypothesis can be described as:

<em>H₀</em>: The mean GPA is 2.40, i.e. <em>μ</em> = 2.40.

<em>Hₐ</em>: The mean GPA is different from 2.40, i.e. <em>μ</em> ≠ 2.40.

To perform the test the registrar can either use a <em>z</em>-distribution or a <em>t</em>-distribution.

If the data provided gives some insight about the population standard deviation and the sample selected is quite large then the <em>z</em>-distribution can be used.

Otherwise it is wiser to use a <em>t</em>-distribution.

The decision rule is:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Thus, the correct option is (B).

6 0
3 years ago
A clay block is 12 cm long 6cm wide and 2cm high and the density is 1.25cm3 what is the mass
Ksenya-84 [330]

Answer:

180

Step-by-step explanation:

formula density:

p =  \frac{m}{v}

find volume ..

v = 12 \times 6 \times 2  \\  = 144

subtitute into formula density..

1.25 =  \frac{m}{144}

m = 180

6 0
2 years ago
GUYSSSSS!!!! PLEASE I NEED HELP RIGHT NOWW!!! HELP PLEASE!​
nikdorinn [45]

Answer:

\angle ABC=20^{\circ}

Step-by-step explanation:

Since each side of a line is 180 degrees, we can write the following system of equations:

\begin{cases}2x+12y+x+2y=180,\\x+2y+8y-4x=180\end{cases},\\\begin{cases}3x+14y=180,\\-3x+10y=180\end{cases}

Add both equations to solve for y:

24y=360,\\y=\frac{360}{24}=15

Now substitute y=15 into 3x+14y=180 to solve for x:

3x+14(15)=180,\\3x=-30,\\x=-10

Finish by substituting both variables to solve for \angle ABC:

\angle ABC=x+2y,\\\angle ABC=-10+2(15),\\\angle ABC=-10+30=\boxed{20^{\circ}}

7 0
3 years ago
PLEASE HELP ME WITH THIS
SSSSS [86.1K]

Answer:

1

Step-by-step explanation:

angles on a straight line are 180 so u do 180 minus 47 gives u 133

5 0
3 years ago
I need help w this pls :)
Llana [10]

Answer:

x8 y6

Step-by-step explanation:

5 0
2 years ago
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