Find the 8th term of the geometric sequence -324, -108, -36, -12, . . .
Answers
Answer:
the 8th term is 0.148148148148...
Step-by-step explanation:
-108÷(-324)=0.333333333333 = 1/3
(-36)÷(-108)=0.333333333333
(-12)÷(-36)=0.333333333333
then the common ratio of the sequence is 1/3
then
the 5th term is 12×(1÷3) = 4
the 6th term is 4×(1÷3) = 1.333333333333
the 7th term is 1.333333333333×(1÷3) = 0.444444444444
the 8th term is 0.444444444444×(1÷3) = 0.148148148148
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The ratio of the longer leg to the hypotenuse of a 30-60-90 triangle is option √3 : 2.
How did we arrive at the value?
In a 30-60-90 triangle, the longer leg is opposite the 60-degree angle and the hypotenuse is opposite the 90-degree angle.
Make x the length of the shorter leg, then the longer leg is x√3 and the hypotenuse is 2x.
So the ratio of the longer leg to the hypotenuse is:
x√3 : 2x
Simplifying, we get:
√3 : 2
Therefore, the ratio of the longer leg to the hypotenuse of a 30-60-90 triangle is √3 : 2.
So the correct answer is (A).
learn more about hypotenuse:brainly.com/question/2217700
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1. 6 chalkboards per grade
2. 3 grades
3. $98 per chalkboard
then you multiply 6 by 3 to get 18
next you multiply 18 by 98 to get 1764
So your answer is ........($1764.00)
hope this helps hope i am brainliest i need 1 more
B.He incorrectly determined the actual number of times he chose a red card.
C.He used too few trials for the sample space.
D.He used too many trials for the sample space.
Answers
Answer: C. He used too few trials for the sample space.
Step-by-step explanation:
Given: Josh used a standard deck of 52 cards to conduct an experiment.
As half of the cards in the deck were red.
If we take sample space= 52 cards
Then probability of getting a red card
But Josh took 8 cards as sample space which is not enough for the sample space.
therefore, C. is the right answer. "He used too few trials for the sample space."
Answer:
Option C - He used too few trials for the sample space.
Step-by-step explanation:
Given: Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were black.
Josh predicted that he would choose a red card in 4 out of 8 trials.
When he conducted the experiment, he actually chose a red card 6 out of 8 times.
To find : Which explains the most likely reason for the discrepancy between Josh’s predicted and actual results?
Solution :
Sample space = 52 cards
As half of the cards in the deck were red.
Probability of getting a red card is
He predict and conduct to choose a red card out of 8 trials which is not enough for the sample space.
Therefore, Option C is correct.
He used too few trials for the sample space.