Answer:
x5
Step-by-step explanation:
Step 1: divide: 14-3+3*4^2
Step 2: evaluate the power: 14-3+3*16
Step 3: multiply: 14-3+48
Step 4: add and subtract: 59
Answer:59
ANSWER
9.7 units
EXPLANATION
According to the Pythagoras Theorem, the square of the hypotenuse is equal to the sum of the squares of the two shorter legs
This implies that,
Group similar terms,
to the nearest tenth.
Answer:
100
Step-by-step explanation:
First we find the mean of this set of data. We find the mean by finding the sum of data values and dividing it by the number of data values:
5+10+10+10+10+10+10+15 = 80
There are 8 data values; 80/8 = 10. The mean is 10.
To find the standard deviation, subtract the mean from each value; square the difference; add the squares; divide by the number of data values; and take the square root:
5-10 = -5; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 15-10 = 5
(-5)^2 = 25; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 5^2 = 25
25+0+0+0+0+0+0+25 = 50
50/8 = 6.25
√6.25 = 2.5
The standard deviation is 2.5.
This means two standard deviations, or 2σ, is 2(2.5) = 5.
This gives us μ-2σ = 10-5 = 5 and μ+2σ = 10+5 = 15.
Since all of our data is between 5 and 15, 100% is within two standard deviations of the mean.
