Answer: 5x2^5
Step-by-step explanation: Divide 160 by 2 as many times as you can to get 80x2, 40x2x2, 20x2x2x2, 10x2x2x2x2, 5x2x2x2x2x2. Then re-write your answer so that it is 5x2^5.
45 because 1set equals 3 push ups and she did ten sets so 10sets equal 30 push ups and then her coach asked her to do 15 more so 30 plus 15 equals 45 so she did 45 push ups that day!
Answer:
Slope is -5/4
Step-by-step explanation:
to find the slope of two points, you subtract the y values/x values. So 8-13/5-1 which ends up as -5/4 which is the answer.
Answer:
Step-by-step explanation:
Given: 76,45,64,80,92
Required: Determine the standard deviation
We start by calculating the mean
Where x-> 76,45,64,80,92 and n = 5
Subtract Mean (71.4) from each of the given data
Determine the absolute value of the above result
Square Individual Result
Calculate the mean of the above result to give the variance
Hence, Variance = 255.298
Standard Deviation is calculated by 
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
