What is (2x + 1)(3x + 7) simplified
2 answers:
Answer:
+17x+7 and zeros are -7/3 and -1/2
Step-by-step explanation:
You multiply every property by every variable not in their own parentheses.
2x*3x=6x^2
2x*7=14x
3x*1=3x
7*1=7
6x^2+3x+14x+7
add like variables together 3x+14x
6x^2+17x+7
( To get the zeros just make each equation in the parentheses equal to zero and solve for x.) ex 2x+1=0 x=-1/2
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Answer:
The probability that a jar contains more than 466 g is 0.119.
Step-by-step explanation:
We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.
Let X = <u><em>Amount of peanut butter in a jar</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = population mean = 454 g
= standard deviation = 10.2 g
So, X ~ Normal()
Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)
P(X > 466 g) = P( >
) = P(Z > 1.18) = 1 - P(Z
1.18)
= 1 - 0.881 = <u>0.119</u>
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.