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2 years ago

12

Express as a trinomial.(x-7)(3x+2)

1 answer:

vagabundo [1.1K]2 years ago

7 0

3x^2-19x-14

Explanation:

You need to multiply each number in the parenthesis by the other numbers in the parenthesis then combine like terms

(X-7)(3x+2)

3x*x=3x^2
-7*3x=-21x
X*2=2x
-7*2=-14

So you have 3x^2-21x+2x-14
Then you would add -21x+2x and you get -19x

So your final answer would be:

3x^2-19x-14

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nikitadnepr [17]

Answer:

a. $f(x)= 1.25\ \ \ \ , \ for \ 31.8\leq x\leq 32.6$

$b. \ P(X=32)=0\\P(X>32.3)=0.375\\P(X$

c. No. Delicious Candy isn't violating any government regulations

Step-by-step explanation:

a.

-A uniform distribution is given by the formula:

$f(x)=\frac{1}{b-a} \ \ \ for \ \ \ a\leq x\leq b$

#we substitute our values in the formula above to determine the distribution:

$f(x)=\frac{1}{b-a}\\\\=\frac{1}{32.6-31.8}\\\\=1.25\\\\\therefore f(x)=1.25, \ \ \ 31.8\leq x\leq 32.6$

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b. The probability of the box's weight being exactly 32 ounces is obtained by integrating f(x) over a=b=32:

$f(x)=1.25, \ \ \ a\leq x\leq b\\\\=\int\limits^{32}_{32} {1.25} \, dx \\\\\\=[1.25x]\limits^{32}_{32}\\\\\\=1.25[32.0-32.0]\\\\\\=0$

Hence, the probability that a box weighs exactly 32 ounces is 0.000

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$f(x)=1.25, \ \ \ a\leq x\leq b\\\\=\int\limits^{32.6}_{32.3} {1.25} \, dx \\\\\\=[1.25x]\limits^{32.6}_{32.3}\\\\\\=1.25[32.6-32.3]\\\\\\=0.375$

Hence, the probability that a box weighs more than 32.3 ounces is 0.3750

iii. The probability that a box weighs less than 31.8 is 0.000 since the weight limits are $31.8\leq x\leq 32.6$ .

-Any value above or below these limits have a probability of 0.000

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$1.25(32.6-32)=0.75\\\\0.75>0.60$

Hence, Delicious Candy isn't violating any government's regulations.

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