Answer:
23.97
Step-by-step explanation:
All you have to do is Divide 36 by 12 then multiply the answer you got from dividing by 7.99
Use cross multiplication. 42 inches is your 100%. your fraction would be 42/100
then, to find by what percent it has increased, since 47 is your new height, and you are trying to find the percentage for that, the fraction will be 47/X.
42 47
----- -----
100 X
(100 * 47) / 42 = X
100 multiplied by 47, then divided by 42, the result is X
your answer should be 111%. Subtract 100 from 111, to get the increased percent.
Answer: 11%
I did this last year, so it may be a little rusty. If im wrong, hopefully someone will correct me, if not, im pretty sure this looks rights. Your methods may also be different. i use cross mulitplication
The alternative and null hypotheses is given below,
Null Hypothesis, H0: μ1 - μ2 = 0
Alternative Hypothesis, Ha: μ1 - μ2 < 0
Compound Variance is given as,
sp = sqrt( s12n1+s22n2)
sp = sqrt(16973 + 112.3673)
sp = 1.9632
Test statistic of z is,
z = (x1bar - x2bar)/sp
z = (69 - 71)/1.9632
z = -1.02
P-value Approach, P=0.1539 as long as P>= 0.
As P-value >= 0.01, failing to rule out the null hypothesis.
<h3>
What is known as a decimal mark?</h3>
To differentiate between a whole number and its fractional component, a decimal point is used either as a point or a dot. It is also referred to as a decimal mark. The symbol for the decimal point is (.). In daily life, decimals are also frequently used. That whenever a shirt costs $10.50, for instance, the price can be written as 10.50.
To learn more about decimal point, Visit brainly.com/question/14938802
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Answer:
.
Step-by-step explanation:
We have been given that a variable force of 
pounds moves an object along a straight line when it is x feet from the origin. We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.
We know that 
, where F represents force.
Now, we will integrate both sides of equation as:
Take the constant out:
Upon applying power rule of integrals, we will get:
![w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5C%2F%5B%20%5Cfrac%7Bx%5E%7B-2%2B1%7D%7D%7B-2%2B1%7D%20%5D%5E%7B10%7D_1)
![w =3[ \frac{x^{-1}}{-1} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20%5Cfrac%7Bx%5E%7B-1%7D%7D%7B-1%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{x} ]^{10}_1](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7Bx%7D%20%5D%5E%7B10%7D_1)
![w =3[ -\frac{1}{10} -(-\frac{1}{1})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%20-%28-%5Cfrac%7B1%7D%7B1%7D%29%5D)
![w =3[ -\frac{1}{10}+\frac{10}{10})]](https://tex.z-dn.net/?f=w%20%3D3%5B%20-%5Cfrac%7B1%7D%7B10%7D%2B%5Cfrac%7B10%7D%7B10%7D%29%5D)
![w =3[\frac{9}{10}]](https://tex.z-dn.net/?f=w%20%3D3%5B%5Cfrac%7B9%7D%7B10%7D%5D)
Therefore, the work done by the object is .
