3 years ago

What is the value of x in the inequality 7x-26>=3(3x-2)

Mathematics

1 answer:

mina [271]3 years ago

6 0

Answer:

work is shown and pictured

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(9-a+5a)/c (a=6,c=9)

SIZIF [17.4K]

$\frac{9-a+5a}{c} = \frac{9-(6)+5(6)}{(9)}= \frac{3+30}{9} = \frac{33}{9} = \frac{11}{3}$

7 0

3 years ago

A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence

EastWind [94]

Answer:

a) 96% CI: $0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

$p=\frac{114}{200}=0.57$

The standard deviation of the sample proportion is

$\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035$

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

$p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63$

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

6 0

3 years ago

In the equation, 7x^2 + 14xy = 7x (x + 2y), what is the binomial factor ?

KonstantinChe [14]

(x+2y)

How?

$\\ \rm\longmapsto 7x(x+2y)$