Answer:
s = 4
Step-by-step explanation:
3r = 10 + 5s
3×10 = 10 + 5s
5s = 30 - 10
5s = 20
s = 20 : 5
s = 4
Answer: 
Step-by-step explanation:
We see that g(x) is a straight line that passes through the origin, just like f(x), so g(x)=kx for some constant k.
Since g(x) passes through (4,2), we know that 2=4k, and thus k=1/2.
So, 
Answer:
The classification of the set of circumstances is presented in the following subsections of the understanding.
Step-by-step explanation:
A 7-year health research project revealed that individuals for whom the mom took DES throughout pregnancy seem to have been twice as probable as women for whom the mothers didn't use the medication to establish tissue irregularities that could cause cancer.
(a)
Women with whom the mothers have taken DES throughout pregnancy as well as women where its mothers haven't taken DES during pregnancy.
(b)
The information collected seems to have been a sample or survey.
(c)
A sampling unit of 3980 (women) showed that performance 63 industrialized tissue irregularities that could contribute to disease (cancer) in the proportion of females with whom the mom brought the powerful DES all through pregnancy.
The proportion of abnormalities in tissues established by females does seem to be:
= 
= 
Of every thousand women, 15.8 established tissue abnormalities.
Answer:
The correct option is C: the isotope of iodine contains 81 neutrons.
Step-by-step explanation:
The mass (A) of the iodine isotope is given by:

Where:
Z: is the number of protons
N: is the number of neutrons
For iodine Z= 53, so if A = 134 the number of neutrons is:

Therefore, the correct option is C. The isotope of iodine contains 81 neutrons.
I hope it helps you!
Answer:

Step-by-step explanation:
The probability of
can be read as the probability of event B occurring given event A. In this question, event A occurs when the chosen player is a girl. There are 7 girls on the soccer team. Event B occurs when the chose player plays defense. Since
stipulates that event A already occurred, we want the probability of choosing a player who prefers defense from the 7 girls. There are 2 girls who prefer defense, hence
.
<u>Alternative:</u>
For dependent events
and
, the conditional probability of event B occurring given A is given by:

indicates the intersection of
and
. In this case, it is the probability that both events occur. Since there are 16 kids on the soccer team and only 2 are girls and prefer defense,
. The probability of event A occurring (chosen player is a girl) is equal to the number of girls (7) divided by the number of kids on the team (16), hence
.
Therefore, the probability of event B occurring, given event A occurred, is equal to:
