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Brrunno [24]
3 years ago
13

2x=10y Determine the constant of proportionality. Assume that y represents all of the outputs and x represents the inputs

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

a = 0.2

Step-by-step explanation:

Let y = ax be a linear equation, where x is the input variable and y is the output variable, then "a" is the proportionality constant between x and y.

To find the proportionality constant of the given equation, we must take it to the form y = ax.

We have:

2x = 10y

We divide both sides of the equation by 10.

0.2x = y

y = 0.2x.

Then the constant of proportionality is:

a = 0.2

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a_sh-v [17]
Volume = length x width x height
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3 years ago
The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different we
Natali5045456 [20]

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

$H_0 : \mu = 13 $

$H_a : \mu \neq 13$

b). When the value of $\overline x = 12.84$

 Test statics :

   $Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $

  $Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $

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          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

3 0
3 years ago
100 points I have answer. Can someone explain this correct answer, I know its correct, but need to understand why? Do we subtrac
lapo4ka [179]

Answer:

c = -6

d = 2

Step-by-step explanation:

After reflection about the x-axis:

A --> A'

(2,3) --> (2,-3)

(4,3) --> (4,-3)

(2,6) --> (2,-6)

After translation:

(2 + c, -6 + d) --> (-4, -4)

2+c = -4

c = -6

-6+d = -4

d = 2

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3 years ago
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Answer:

B

Step-by-step explanation:

Because i did this problem

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1. is 9
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