Answer:
x=-3
Step-by-step explanation:
The x values repeat and the y values are different that means its a vertical line
so it must be x=something the x value in both is -3 so
x=-3
Use SOH CAH TOA
sin(x) = opp/hyp
cos(x) = adj/hyp
tan(x) = opp/adj
sin(x) = 3.9/8.1
sin(x) = 0.481
Inverse sin of 0.481 = 28.8 degrees
Each answer should be between 0 and 90 :)
Answer:
21.3 m
Step-by-step explanation:
The exponent tells us how many times to multiply a base to itself. The base is, of course, the thing that's being multiplied. When we use exponents, we call it "raising to a power". The power equals to the exponent, so in our example, x is raised to a power of 4.
Or u can use this but the first one is better
Learning about exponents helps students think about and understand expressions. ... Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
Part A
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
-----------------------------------
To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
============================================================
Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
------------------
We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
============================================================
Part C
Answer: There is a greater chance to get two purple in a row
------------------
Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater