Answer:
60⁰
Step-by-step explanation:
A triangle has three angles.
The sum of its angles = 180⁰
[ By angle sum property ]
Let the unknown angle be 'x'
Then,
30⁰ + 90⁰ + x = 180⁰
120⁰ + x = 180⁰
x = 180⁰ - 120⁰
x = 60⁰
Therefore, the unknown angle will be equal to 60⁰
Answer:
9
Step-by-step explanation:
The left circle is the input and the right circle is the output. Looking at 9 in the left circle, it leads to 9 in the right circle, so 9 is the answer.
This would also mean f(-8)=-5 and f(-6)=1
Answer:
Correct option (B).
Step-by-step explanation:
A 95% confidence interval for a population parameter implies that there is 0.95 probability that the population parameter is contained in that interval.
Or, if 100, 95% confidence intervals are created then 95 of those intervals would contain the population parameter with probability 0.95.
In this question the 95% confidence interval was created for population proportion of all United States citizens who were optimistic about the economy.
Then this 95% confidence interval implies that if 100 such confidence intervals were created then 95 of those would consist of the true proportion of US citizens who were optimistic about the economy..
Thus, the correct option is (B).
<span>x+5y=8 ----------------- (1)
</span>y=3x ----------------- (2)
Substitute (2) into (1):
x + 5(3x) = 8
Distribute 5:
x + 15x = 8
Combine like terms:
16x = 8
Divide both sides by 16:
x = 0.5
Substitute x = 0.5 into (2):
y = 3(0.5)
Distribute 3
y = 1.5
Answer: x = 0.5, y = 1.5
