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marysya [2.9K]
3 years ago
9

-2(11-12x)= -4(1-6x)

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

The given equation -2(11 - 12x) = -4(1 - 6x) has infinite solutions

<u><em>Solution:</em></u>

Given that we have to solve the given expression

Given expression is:

-2(11 - 12x) = -4(1- 6x)

We have to use distributive property to solve the given expression

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Which means,

a(b + c) = ab + ac

Apply this in given expression

-2(11 - 12x) = -4(1-6x)

-22 + 24x = -4 + 24x

When both sides of the equation are simplified, the coefficients are the same, then infinite number of solutions occur

If we end up with the same term on both sides of the equal sign, such as 24x = 24x, then we have infinite solutions

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If you flip two coins 76 times, what is the best prediction possible for the number of times both coins will land on tails? ​
ioda

Answer:

38 times

Step-by-step explanation:

A coin has two sides, so there is a 50% chance it will land on either side (assuming perfect conditions and that the coin cannot land vertically). With that in mind, if you flip a coin 76 times, 50% or 1/2 of the times the coin should land on tails. That is 36 times. (Once again, this is under perfect testing conditions. In real life, you probably wouldn't get an even split after only 76 flips.)

Hope this helps :)

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3 years ago
Select the term that best describes the statement A triangle is acute provided all the angles have a measure of less than 90 deg
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I think the correct answer is conjunction...
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What percent of the animals in the image are dogs?
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7 dogs, 3 cats, 5 birds. In total, there are 15 animals all together.

So ignore the 3 and 5 those are in there to throw you off. To get the percentage, you do 7/15

So you'd get 0.4666667

Answer: 0.467
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3 years ago
The travel-to-work time for residents in Ventura County is unknown. Assume the population variance is 39. How large should a sam
katen-ka-za [31]

Answer:

A sample size of 128 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.93}{2} = 0.035

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.035 = 0.965, so z = 1.81

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population(square root of the variance) and n is the size of the sample.

How large should a sample be if the margin of error is 1 minute for a 93% confidence interval

We need a sample size of n, which is found when M = 1. We have that \sigma = \sqrt{39}. So

M = z*\frac{\sigma}{\sqrt{n}}

1 = 1.81*\frac{\sqrt{39}}{\sqrt{n}}

\sqrt{n} = 1.81\sqrt{39}

(\sqrt{n})^2 = (1.81\sqrt{39})^2

n = 127.8

Rounding up

A sample size of 128 is needed.

7 0
3 years ago
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