Answer:
p = 2 or p = -2 4/9
Step-by-step explanation:
We can substitute x=3/2 into the equation and solve for the values of p that make the result be zero.
p^2(3/2)^2 -12(3/2) +p +7 = 0
9/4p^2 -18 + p + 7 = 0 . . . . eliminate parentheses
9p^2 +4p -44 = 0 . . . . . . simplify and multiply by 4
(9p +22)(p -2) = 0 . . . . . factor
Values of p that make 3/2 be one of the zeros are ...
p = -22/9, p = 2
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<em>Additional comment</em>
The <em>zero product rule</em> tells you a product will be zero if and only if a factor is zero. Hence the solutions to the quadratic are values of p that make the factors zero.
9p +22 = 0 ⇒ 9p = -22 ⇒ p = -22/9
p -2 = 0 ⇒ p = 2
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For p=2, the solution 3/2 has multiplicity 2. For p=-22/9, the other zero is x=123/242.
Answer:
200.64
Step-by-step explanation:
Volume = Length x Width x Height
200.64 = 5.5 x 11.4 x 3.3
The probability of drawing two blue marbles if the first marble is not replaced is 1/5
<h3>How to determine the probabilities?</h3>
<u>The probability of tossing a head and drawing a red marble</u>
The given parameters are:
White = 1
Blue =3
Red = 2
Total = 6
The probability of a head is
P(Head)= 1/2
The probability of drawing a red marble is
P(Red)= 2/6 = 1/3
The required probability is
P = P(Head) * P(Red)
This gives
P = 1/2 * 1/3
P =1/6
<u>The probability of drawing two blue marbles if the first marble is not replaced.</u>
Here, we have:
P(B1) = 3/6 = 1/2
P(B2) = 2/5
The required probability is
P = P(B1) * P(B2)
This gives
P = 1/2 * 2/5
P =1/5
Hence, the probability of drawing two blue marbles if the first marble is not replaced is 1/5
Read more about probability at:
brainly.com/question/24756209
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Answer:
2) cos theta
Step-by-step explanation:
0 = theta
√(1- sin 0)(1+sin 0)
=√(1 - sin²0)
=√cos²0
= cos 0 => (cos theta)
Answer:
20 ounces
Step-by-step explanation:
The line plot is attached below.
From the line plot, we can see that there is a total of 7 snack mix. Two of the snack mix weigh 1 and half (1.5) ounces each, one snack measure 2 and three quarter (2.75) ounce, three snack mix measure three and half (3.5) ounce each and one snack measure 3 and three quarter (3.75) ounce. Therefore the total weight of the snack mix is:
Total weight = (2 * 1.5) + (1 * 2.75) + (3 * 3.5) + (1 * 3.75)
Total weight = 20 ounces
