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yulyashka [42]
3 years ago
9

Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b

ecomes unsolvable. Kelly explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Kelly how the equation is still solvable and explain your reasoning.
Mathematics
2 answers:
Lera25 [3.4K]3 years ago
6 0
1/2 + 3/x = 3/4
3/x = 3/4 - 1/2
3/x = 3/4 - 2/4
3/x = 1/4....this is a proportion, so we cross multiply
(1)(x) = (3)(4)
x = 12

check..
1/2 + 3/12 = 3/4
6/12 + 3/12 = 3/4
9/12 = 3/4
3/4 = 3/4 (correct)

so x = 12

fredd [130]3 years ago
4 0

Answer:

we are given a variable equation as:

\dfrac{1}{2}+\dfrac{3}{x}=\dfrac{3}{4}

we can take variable on one side and constant terms on the other to get

\dfrac{3}{x}=\dfrac{3}{4}-\dfrac{1}{2} \\\\\dfrac{3}{x}=\dfrac{3-1\times 2}{4}\\\\\dfrac{3}{x}=\dfrac{3-2}{4}\\\\\dfrac{3}{x}=\dfrac{1}{4}\\\\x=12

Hence on solving the following variable equation we get that x=12.



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3 years ago
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di
tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}

Where;

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\bar {x}_2 = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

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Step-by-step explanation:

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A cylinder has a radius of 3 and a height of 4 Using 3.14 (pi) Round your answer to the nearest hundredth What is the volume of
tensa zangetsu [6.8K]

Answer:

113.04 cubic units. ".04" is four hundredths.

(the units are not given here. They could be cubic feet, cubic inches, cubic meters, cubic centimeters. or other measurements.)

Step-by-step explanation:

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The base of a cylinder is a circle.

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28.26 × 4 = 113.04

The volume if this cylinder is 113.04 cubic units.

6 0
3 years ago
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