Answer:
275 is 30% of 916.67
Step-by-step explanation:
We have, 30% × x = 275
or 
Multiplying both sides by 100 and dividing both sides by 30,
we have x = 275 ×
x = 916.67
If you are using a calculator, simply enter 275×100÷30, which will give you the answer.
Answer=9
This question is asking how many times can 4 go into 36. Basically 36/4
36÷4=9
36 is 9 times greater than 4
-24 - 4(x + 2) = 4x Use the Distributive Property
-24 - 4x - 8 = 4x Combine like terms (-24 and -8)
-32 - 4x = 4x Add 4x to both sides
-32 = 8x Divide both sides by 8
-4 = x Switch the sides to make it easier to read
x = -4
Answer:
Not binomial: the trials are not independent.
Step-by-step explanation:
Binomial distribution:
In samples with replacement, as the probability has to be the same for each trial, that is, they are independent.
Hypergeometric distribution:
Samples without replacement, as the probabilities depends on the previous outcomes, that is, they are not independent.
In this question:
Marbles are chosen without replacement, which means that for each trial the probabilities of choosing a red marble are different, which means that the trials are not independent. So the answer is:
Not binomial: the trials are not independent.
Answer:
97.35%
Step-by-step explanation:
Empirical rule formula states:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
From the question, we have the mean of :
Mean of 56 and a standard deviation of 10.
For 36
36 = μ - xσ
36 = 56 - 10x
56 - 36 = 10x
20 = 10x
x = 20/10
x = 2
Hence, the data falls within 2 standard deviation of the mean
Hence, since it is one side,
= 95%
= 47.5%
For 86
86 = μ - xσ
86 = 56 - 10x
56 - 86 = 10x
-30 = 10x
x = -30/10
x = -3
Hence, the data falls within 3 standard deviation of the mean
Hence, since it is 99.7% one side,
= 99.7%
= 49.85%
Hence, we add up
= 47.5% + 49.85%
= 97.35%
The approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86 is 97.35%
