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eduard
3 years ago
9

Simplify and state restrictions.

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

We have the equation

\frac{4*a^2*b^2*c}{-3*a*b} + \frac{8c^2}{15}

First, we want the same denominator in both equations, so we can multiply in the left by 5, and in the right bt -ab, and now we have:

\frac{20*a^2*b^2*c}{-15*a*b} + \frac{-ab8c^2}{-15ab} = \frac{-20*a^2*b^2*c +8*a*b*c^2}{15*a*b}

Now we have all in the same rational.

The only restriction in this type of equation is that the denominator never can be zero.

so 15*a*b = 0 is a restriction:

This means that a can not be zero, and b can not be zero.

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3 years ago
Antibiotics in Infancy
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Answer:

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

Step-by-step explanation:

The proportion we will use for the test is  p  = 70 %

From a random sample we got

n  =  616

x = 438      then   p₁ = 438/616     p₁  =  0,71    p₁  = 71 %

Then  q₁  =  1 - p₁      q₁  = 1 - 0,71    q₁ = 0,29   q₁ = 29 %

a) Hypothesis test:

Null hypothesis                      H₀           p₁   = p

Alternative hypothesis          Hₐ           p₁  > p >70 %

CI = 95 % significance level    α  = 5 %   α = 0,05

z(c) for  α  =  0,05   from z-table is    z(c)  = 1,64

b) To calculate  z(s)  =  ( p₁  -  p ) / √ p₁*q₁ / n

z(s) = ( 0,71  -  0,70 )/ √ 0,71*0,29/616

z(s) = 0,01 /0,01828

z(s) = 0,547 ≈ 0,55

c) p-value for   z(s) is from z-table   p-value ≈ 0,7088

d) p-value > 0,05   then we accept H₀  we don´t have enough evidence to reject H₀

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

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3 years ago
Find the geometric mean between 8 and 18. Write answer as a simplified radical. No Decimals!!!!
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Answer: Therefore, the geometric mean of 8 and 18 is 12. Therefore, the geometric mean of 8 and 18 is 12.

Step-by-step explanation:

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Allushta [10]

Answer:

y = 3/7x - 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 3/7

Point (14, 0)

<u>Step 2: Find y-intercept </u><em><u>b</u></em>

  1. Substitute:                    0 = 3/7(14) + b
  2. Multiply:                        0 = 6 + b
  3. Isolate <em>b</em>:                       -6 = b
  4. Rewrite:                         b = -6

<u>Step 3: Write linear equation</u>

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Answer:

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Step-by-step explanation:

3 0
3 years ago
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