2x+8=20
2x=20-8
2x=12
12/2=x
6=x
In the problem, we are given that the probability of getting
a bear is equal to p. Where probability is the share of successful outcome in
this case is the bear) over total outcomes (total amount of prizes).
The likelihood of not receiving a bear two times in a row is
containing of 2 tries:
try 1: 1st spin gets a bear, 2nd spin does not receive a
bear
total probability of try 1 = p * (1 – p)
try 2: 1st spin does not get a bear, 2nd spin gets a
bear
total probability of try 1 = (1 – p) * p
The total probability of the 2 tries is just the sum of
the 2:
Overall probability of not getting a bear twice in a row= p
* (1 – p) + (1 – p) * p
Simplifying this will give us:
Overall probability of not getting a bear twice in a row =
2p * (1 – p)
Therefore, the likelihood of not receiving a bear twice in a
row > 3 times the probability of getting the teddy bear. Rewriting the
statement, will give us the inequality of 2p * (1 – p) > 3 p
<span> </span>
As described in statistics the mean standard deviation of the headway is 0.890
what is the statistics ?
The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to a problem in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.
solution:
P(0.995 ≤ x ≤ 1.445) = F(1.445) - F is the given mean value (0.995).
The distribution's cdf is
f(x) = { (1 - 1/x⁶ , x > 1) (0. x ≤ 1)
F(1.445) = 1 - (1/(1.445)⁶)
F(0.995) = 0
Now, using the values of F(1.445) and F(0.995) in P( 0.995 ≤ x ≤ 1.445) to get F(1.445) - F(0.995):
P( 0.995 ≤ x ≤ 1.445)
=1 - (1/(1.445)⁶) - 0
=0.890
Therefore the mean value of standard deviation is 0.890
To learn more about the statistics from the given link
brainly.com/question/15525560
#SPJ4
Answer:
alternate interior angles theorem
Step-by-step explanation:
The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.
Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:
∠ 4 ≅ ∠6, ∠1 ≅ ∠7
Answer:
0.75 or 3/4 = r
Step-by-step explanation:
To figure out the value of r, you must find the square root of both sides, which would cancel the square. Now the equation would be 4r = 3. From there, you can divide both sides by 4 to get r by itself. so now, the equation is r=3/4 or 0.75