Using the binomial distribution, the probabilities are given as follows:
- 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
- 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
- Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
The values of the parameters for this problem are:
n = 10, p = 0.4.
The probability that more than 4 weigh more than 20 pounds is:
In which:
Then:
Hence:
0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
The probability that fewer than 3 weigh more than 20 pounds is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673
0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
For more than 7, the probability is:
Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
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Answer:
The angle x is equal to 30°.
Step-by-step explanation:
We are given that
- Lines A and B are parallel.
- These lines are transversed by Line C.
We can find out what angle is the supplement of 150° by setting up a simple equation.
Then, we can use the Corresponding Angles Postulate. This states that when two parallel lines are cut by a transversal, the angles that are corresponding (not a supplement) are congruent to each other.
Therefore, the angle that is to the top right of x is equal to 150°.
Finally, we need to find x. We can do this by using the same equation above and finding the supplement. We know this is 30°, so x = 30°.
Answer:
step 1
Step-by-step explanation:
Given
(x - 2)(3x + 4) ← apply distributive property
= (x - 2)(3x) + (x - 2)(4)
↑ error is here , she put (x + 2)
There were 11 birds at the shelter on Wednesday.
Step-by-step explanation:
Cost of care for one bird = $4.00
Cost of care for one cat = $8.00
Total spent = $148.00
Total birds = 24
Let,
Number of birds = x
Number of cats = y
According to given statement;
x+y=24 Eqn 1
4x+8y=148 Eqn 2
Multiplying Eqn 1 by 4
Subtracting Eqn 3 from Eqn 2;
Dividing both sides by 4
Putting y=13 in Eqn 1
There were 11 birds at the shelter on Wednesday.
Keywords: linear equations, subtraction
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Answer:
well I don't know how you learn this, but if the sign doesn't have a line underneath then its an open circle other than that great job!
Step-by-step explanation: