A. 7 + 3 x (2 + 4) = 25
7 + 3 x 6 = 25
7 + 18 = 25
25 = 25
B. 8^2 divided by 4 x 8 = 2
64 divided by 4 x 8 = 2
64/32 = 2
2 = 2
C. (16 + 8) - 5 x 2 = 14
24 - 5 x 2 = 14
24 - 10 = 14
14 = 14
For each problem use the basis of the acronym PEMDAS.
P arentheses (grouping symbols)
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
Evaluate each step in that order.
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
Answer:
Area of Rectangle A
Area of Rectangle B
Fraction
Step-by-step explanation:
From the attached, we understand that:
The dimension of rectangle A is 2x by 2x
The dimension of rectangle B is x by 2x
Area of rectangle is calculated as thus;
Area of Rectangle A
Area of Rectangle B
Area of Big Rectangle
The largest rectangle is formed by merging the two rectangles together;
The dimension are 3x by 2x
The Area is as follows
The fraction of rectangle A in relation to the largest rectangle is calculated by dividing area of rectangle A by area of the largest rectangle;
Simplify
Well first do 20 children minus 8 girls to find how many boys there are:
20-8=16
So there are 16 boys. Therefore we can write the ratio of girls to boys as:
8/16
Then we can simplify this ratio by dividing it by 8 to get:
1/2
So the answer is the ratio of girls to boys in the group in simplest form is 1/2.
Answer:
0.932 miles
Step-by-step explanation:
To find out the difference we subtract
6 - 5.068 = 0.932
Add the units (miles)
0.932 miles
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-Chetan K
