1) its number 2. 30x^7y^4
Well yes, one triangle can be constructed, but you wouldn't recognize it.
One of its angles is 180 degrees and the other two are both zero degrees.
Anybody who looks at it would think it's just a straight line segment, 9 cm long.
Answer:
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
Step-by-step explanation:
The experimental probability is
P (<3) = ( getting a one or 2)/ number of times that he rolled
He rolled a one or a two 2 times of the 8 times rolled
= 2/8 = 1/4
Theoretical probability is what we expect happen
P (<3) = (getting a one or two) / 6
= 2/6 = 1/3
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2
the factors are then ( x - 1 ) and (x + 2)
and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2
thus x² + x - 2 is a factor
dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5
the third zero is x = 5
check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0
<span>Exactly 33/532, or about 6.2%
This is a conditional probability, So what we're looking for is the probability of 2 gumballs being selected both being red. So let's pick the first gumball.
There is a total of 50+150+100+100 = 400 gumballs in the machine. Of them, 100 of the gumballs are red. So there's a 100/400 = 1/4 probability of the 1st gumball selected being red.
Now there's only 399 gumballs in the machine and the probability of selecting another red one is 99/399 = 33/133.
So the combined probability of both of the 1st 2 gumballs being red is
1/4 * 33/133 = 33/532, or about 0.062030075 = 6.2%</span>
