Answer:
x = 58
Step-by-step explanation:
Angle = 1/2(difference of intercepted arcs)
51 = 1/2 ( 160 -x)
Multiply each side by 2
2*51 = 160-x
102 = 160-x
Subtract 160
102 -160 = -x
-58 = -x
58 =x
Answer:
number 10
dy/dx =(dy/dt).(dt/dx)
now find
dy/dt=4t-1. , dt/dx=1
so : dy/dx=(4t-1).(1)
dy/dx= 4t-1 ,we have x=t-3-----> t=x+3
subtitute at t
dy/dx= 4(x+3)-1=4x+12-1= 4x+11
Lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.
So the Hank's age is 9 years
.
Answer:
1. This is a "RANDOMIZED CONTROLLED EXPERIMENT".
A randomized controlled experiment is a type of research study, were the researcher randomly select samples in other not to be biased. This samples are separated into two groups, which are the experimental and the controlled group.
2. The research has a treatment group and a controlled group.
A treatment group are those group that received some special treatment from the researcher, it can also be called the experimental group. According to the research, the treatment group are those who are in the POVERTA scheme. That is the 320 communities.
A controlled group are those group that were not given any special treatment, but are , separated and studied. According to the research the controlled group are those 185 communities
3. This research provides evidence that being in a community receiving POVERTA benefits is associated with a lower rate of childhood illness. Because after two years, it was noticed the children in the community that receives POVERTA has low rate of illness, than the children in a community that doesn't receive the benefits of POVERTA.
4. This study does not provide evidence that being in a community receiving POVERTA benefits causes a lower rate of childhood illness. Because the research did not involve treatment of illnesses and they is no experimental evidence that shows that POVERTA benefits is interrelated with illness, as illness involves the internal functions of human body.
5. Such study will be called a "RANDOMIZED CONTROLLED EXPERIMENT". Because their randomly isolated themselves, and the POVERTA treatment was not given to them. The researcher was not based in selecting them not to participate.
3x+4y = 375
6x+ 4y= 600
-------------------
6x-3x = 600 - 375
3x=225
x=225:3
x=75 cents
3*x+4y= 375
3*75+4y=375
225 +4y = 375
4y=375-225
4y=150
y=150:4
y=37,5 cents
the price is 75+37,5=112,5 cents for one bag of potato chips and one candy bar
