X +105 x+95 solve for x
1 answer:
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Answer: Second option is correct.
Step-by-step explanation:
Since we have two spinners,
Each spinner has 10 equal sectors labeled with the numbers from 1 to 10.
Primes numbers from 1 to 10 is given by
So, number of outcomes shows a primes number from 1 to 10 = 4
Similarly ,
Composite numbers from 1 to 10 is given by
So, number of outcomes shows a composite number from 1 to 10 =5
∴ Total outcomes show a prime number on the first spinner and a composite number on the second spinner is given by
Thus, Second option is correct.
Answer:
5000 particles of size 10 nanometer should be stacked
Step-by-step explanation:
Average diameter of the of the human hair = 50 micron = 50 × 10⁻⁶ m
Now,
let the number of 10 nanometer i.e 10 × 10⁻⁹ m particle be 'n'
thus,
n × 10 × 10⁻⁹ m = 50 × 10⁻⁶ m
Therefore to find the number of 10 nanometer i.e 10 × 10⁻⁹ m particle,
n =
or
n = 5000
Hence,
5000 particles of size 10 nanometer should be stacked
Answer:
There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.
This means, respectively, that
The test-statistic is:
The pvalue is:
2(P(Z < -2.69))
P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036
2*(0.0036) = 0.0072
0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.