We are going to take 132 divided by 6, because there are 6 different rolls he can get. So, 132/6=22
Answer:
2.5% of IQ scores are no more than 65
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 = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
1/3 and 3/8
First, you would need to find the lowest common multiple.
It would be 24.
Change both fractions to fractions with a denominator of 24
1/3*8=8/24
3/8*3=9/24
You can see that 9 is greater that 8. Therefore 3/8 is greater.
Answer:
12x + 2
Step-by-step explanation:
To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.
(8x + 5) + (4x - 3) Remove brackets to add a binomial (2-term brackets)
= 8x + 5 + 4x - 3 Collect like terms
= 8x + 4x + 5 - 3 I rearranged so you can see which terms are alike
= 12x + 5 - 3 Collected like terms with "x" (8x + 4x = 12x)
= 12x + 2 Collected like terms with no variables (5 - 3 = 2)
Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.
If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can <em>take it out</em> and put the other numbers in a bracket.
12x + 2
= 2(12x/2 + 2/2)
= 2(6x + 1) This is equal, but in factored form.
