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Sunny_sXe [5.5K]
3 years ago
6

Name two solutions for each inequality.

Mathematics
1 answer:
ahrayia [7]3 years ago
6 0
So,

#1: n  \geq 3 \frac{11}{16} + 4 \frac{1}{2}

Convert to like improper fractions.
n  \geq  \frac{59}{16} +  \frac{72}{16}

Add.
n  \geq  \frac{131}{16}\ or\ 8 \frac{3}{16}

So, one solution could be 8 \frac{3}{16}.

Another solution could by 9.  There is also 10, 11, 12, etc., and all numbers in between.


#2: k \ \textless \  6  \frac{2}{5} * 15

Convert into improper fraction form.
k \ \textless \ \frac{32}{5} * 15

Multiply.
\frac{(2^5)(3)(5)}{5}

Cross-cancel, and we have our final result.
(2^5)(3) = 96
k < 96

96 is not a solution.

95 is a solution.

So is 94, 93, 92, etc, and all numbers in between.
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Answer: 68

Step-by-step explanation:

Formula for sample size when prior estimate of population proportion (p) is available:  n=p(1-p)(\dfrac{z^*}{E})^2

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E= Margin of error.

Let p be the population proportion of  trees are infected with the citrus red mite.

As per given , we have

p=\dfrac{1}{5}=0.2

E= ± 0.08

The critical z-value corresponding to 90% confidence level = z*=1.645

Substitute all the values in the above formula , we get

Required sample size  :n=(0.2)(1-0.2)(\dfrac{(1.645)}{0.08})^2

\Rightarrow\ n=(0.2)(0.8)(20.5625)^2

\Rightarrow\ n=0.16(422.81640625)\\\\\Rightarrow\ n=67.650625\approx68 [Rounded to next integer.]

Thus, the minimum sample size should be taken =68

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3 years ago
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Step-by-step explanation:

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3 years ago
I HAVE A CYLINDER AND cone WITH THE
Vlad1618 [11]

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Step-by-step explanation:

Let the radius and height of each be r and h in. respectively.

Write an equation for the volume of cone.

Volume of cone= ⅓πr²h

⅓πr²h= 33

Multiply both sides by 3:

πr²h= 99

Volume of cylinder= πr²h

We have found the value of πr²h previously, which is 99.

Thus, the volume of the cylinder is 99 in³.

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Step-by-step explanation:

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The graph below represents which system of inequalities?
attashe74 [19]

Answer:

y ≤ 2x -2 Option C.

Step-by-step explanation:

Equation of the dotted line which passes through (3,0) and (0,8) will be

y = mx+C

m = \frac{y-y'}{x-x'}=\frac{3-0}{0-3} = -1

and C = 3

So equation will be y = x + 3

But shaded blue part is above the dotted line so inequality will be y> -x +3

Equation of the second solid line which passes through ( 0,-2) and (1,0) will be

y = mx + C

m = \frac{y-y'}{x-x'} = \frac{0+2}{1-0} = 2

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So inequality will be

y ≤ 2x -2

Option C. is the answer.

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3 years ago
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