Add the following decimals

Mathematics

1 answer:

Fantom [35]3 years ago

5 0

Answer:

148.91

Step-by-step explanation:

hope it helps<333

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(3x+2)∧2=9 how do i solve this in the square root property

Irina18 [472]

$(3x+2)^2=9 \\\\9x^2+12x+4-9=0\\\\9x^2+12x-5=0\\\\a=9,\ \ b=12, \ \ c=-5$

$x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{-12-\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12-\sqrt{144+180}}{18}=\\\\=\frac{-12-\sqrt{324}}{18}=\frac{-12-18}{18}=\frac{-30}{18}=-\frac{5}{3}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-12+\sqrt{12^2-4 \cdot9 \cdot (-5)}}{2 \cdot 9}=\frac{-12+18}{18}=\frac{6}{18}=\frac{1}{3} \\\\Answer: \ x=-\frac{5}{3}\ \ and \ \ x=\frac{1}{3}$

6 0

3 years ago

Determine the point estimate of the population proportion and the margin of error for the following confidence interval.Lower bo

Kamila [148]

Answer: The point estimate of the population proportion is . 485.

The margin of error is 0.273.

Step-by-step explanation:

Confidence interval for population proportion(p):

sample proportion ± Margin of error

Given: Lower bound of confidence interval = 0.212

Upper bound = 0.758

⇒sample proportion - Margin of error=0.212 (i)