Answer:
30(2+3)
Step-by-step explanation:
1) Find GCF of 60 and 90 (30)
2) Divide both by GCF
3) Put GCF in front of parentheses, then add quotients within the parentheses
We know that
if t<span>he temperature T of a given mass of gas varies inversely with its volume V
</span>then
T=k/V
Step 1
Find the value of k
for T=30º C and V=105 cm³
we have
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³
therefore
for V=84 cm³
T=3150/84=37.5 °C
the answer is 37.5 °C
Answer:






Step-by-step explanation:
For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Fair coin:
Equally as likely to be heads or tails, so 
5 tosses:
This means that 
Probability distribution:
Probability of each outcome, so:







Answer:
t = 6/5
Step-by-step explanation:
Step 1: Define
k(t) = 10t - 19
k(t) = -7
Step 2: Substitute and Evaluate
-7 = 10t - 19
12 = 10t
t = 6/5
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:




Item a:
The sum of <u>all the probabilities has to be 1</u>, that is:

Thus:



The missing value is 0.04.
Item b:
The mean is given by the <u>sum of each outcome multiplied by it's probability</u>, thus:

The mean is of 0.37.
A similar problem is given at brainly.com/question/20709747