Answer:

Step-by-step explanation:
y = 3x + 14
y = x
.
x = 3x + 14
3x - x = -14
2x = -14

x = -7
.
y = x
y = -7
Answer:
54.67 cm²
Step-by-step explanation:
Given that the two sides of Δ ABC are 8.2 cm and 13.5 cm and the angle included by those sides is 81°.
Let, b = 8.2 cm and c = 13.5 cm and ∠ A = 81°
Hence, area of triangle ABC, Δ =
⇒ Δ =
⇒ Δ =
⇒ Δ = 54.67 cm² (Answer)
Answer:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%
Step-by-step explanation:
We can define X the random variable of interest "number of voters that will prefer Candidate A", since we have a sample size given and a probability of success we can use the binomial distribution to model the random variable. And on this case we can assume the following distribution:
The probability mass function for the Binomial distribution is given by:
Where (nCx) means combinatory and it's given by this formula:
For this problem we want to find this probability:

And usign the probability mass function defined before we got:
Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%
Answer:
48
Step-by-step explanation:
3 times 4 times 4 = 48