Answer:
No. There is not enough evidence to support the claim that the population standard deviation is different from $12.
Step-by-step explanation:
The null hypothesis is that the true standard deviation is 12.
The alternative hypothesis is that the true standard deviation differs from 12.
We can state:
The significance level is 0.10.
The sample size is n=15, so the degrees of freedom are:
The sample standard deviation is 9.25.
The test statistic is
The critical values for rejecting the null hypothesis are:
As T=8.32 is within the acceptance region (5.01, 24.74), the null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the population standard deviation is different from $12.
<span>So the second candidate receives $28 votes and the third candidate receives 498 votes. To be in the first place it would need just about $99 votes.
Then the total number of votes would be 28 + 98 + 99 = 225.
Maximum number of votes gives the smallest possible value of x, so that would be like 99 / 225 = 44%</span>
My present age - x
Mom's age - 2x + 12
My age after 8 yrs - x +8
My mom's age after 8 years - 2x+20
Equation formed-
3(x+8)-20 = 2x+20
3x +24 -20 = 2x +20
x = 20-4 = 16
Therefore, my present age = x = 16 yrs
And my mom's present age = 2x + 12 = 32+12 = 44.
Answer:
The number of students reporting readings between 87 g and 89 g is 61
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 88g
Standard deviation = 1g
Percentage of students reporting readings between 87 g and 89 g
87 = 88-1
So 87 is one standard deviation below the mean.
89 = 88+1
So 89 is one standard deviation above the mean.
By the Empirical Rule, 68% of students are reporting readings between 87 g and 89 g.
Out of 90 students:
0.68*90 = 61.2
Rounding to the nearest whole number:
The number of students reporting readings between 87 g and 89 g is 61
Answer:
Another person already answered this question. Their name is writersparadise. I give all credit to him/her for this answer.
Step-by-step explanation:
There could be many answers for this question. In general, the number that comes after 16 is a number with 8 as the sum of its digits.
Explanation:
1st number 31 – Sum of digits is 3 + 1 = 4
2nd number 1031 – Sum of digits is 1 + 0 + 3 + 1 = 5
3rd number 402 – Sum of digits is 4 + 0 + 2 = 6
4th number 16 – Sum of digits is 1 + 6 = 7
Therefore, the missing number could be the single digit number 8 or any of the two-digit numbers 17, 26, 35, 44, 53, 62, 71 or 80. It could also be a bigger number with the digits of any of the given two-digit numbers and 0 for the other digits such as 260 or 7001.
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