Answer:
11.5 hours
Step-by-step explanation:
25 pages every 75 minutes (1 1/4)
Thats means 1 page every 3 minutes (divide 25 and 75 by 25 to get this)
230 pages would mean 690 minutes (times the 3 by 230)
690/6 = 11.5
Answer:
Part A
The probability of the treatment groups mean being greater than the control group mean by 8points or more = (26+8+2)/1000 = 0.036
Part B
Yes, the result is statistically significant because the probability of the difference being 8point or more is less than 5% significant level
Part C
The answers is 0.036 means that there is a very little chance of obtaining difference of 8points or more by random chance. So, if the difference between treatment group mean and control group mean is at least 8 , then the result is significant which means protein shaken is actually helpful in speeding up the weight-10 process
Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction)
First, subtract 6 from both sides
-4x + 6 (-6) = -38 (-6)
-4x = -38 - 6
-4x = -44
Next, fully isolate the x by dividing -4 from both sides
(-4x)/-4 = (-44)/-4
x = -44/-4
x = 11
11 is your answer for x.
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So u already know that the radius is half of the circle which in this case is 28 mm. And both circles at the top touch both sides of the rectangle.
Process:
28x4=112.
This is the top side, but because you could fit 2 circles at the top and you know the measurement, it is common sense to think that it would be the same on the other side. So the area of the square/ rectangle:
112x112= 12,534 mm
Use Multiplication Distribute Property: (xy)^a = x^ay^a
6^2(x^-2)^2(0.5x)^4
Simplify 6^2 to 36
36(x^-2)^2(0.5x)^4
Use this rule: (x^a)^b = x^ab
36x^-4(0.5x)^4
Use the Negative Power Rule: x^-a = 1/x^a
36 × 1/x^4(0.5x)^4
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
36 × 1/x^4 × 0.5^4x^4
Simplify 0.5^4 to 0.0625
36 × 1/x^4 × 0.0625x^4
Simplify
2.25x^4/x^4
Cancel x^4
<u>2.25</u>