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2 years ago

What does x equal if 2x + 4x + 108? 2x \ 4x + 108 _\__

Mathematics

1 answer:

natali 33 [55]2 years ago

5 0

Answer: x = -54

Step-by-step explanation:

Simplifying

(2x) = (4x + 108)

Reorder the terms:

(2x) = (108 + 4x)

Remove parenthesis around (108 + 4x)

(2x) = 108 + 4x

Solving

(2x) = 108 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

(2x) + -4x = 108 + 4x + -4x

Combine like terms: (2x) + -4x = -2x

-2x = 108 + 4x + -4x

Combine like terms: 4x + -4x = 0

-2x = 108 + 0

-2x = 108

Divide each side by '-2'.

x = -54

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

We would apply the formula for binomial distribution. It is expressed as

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n represents number of sample.

From the information given,

p = 10% = 10/100 = 0.1

q = 1 - q = 1 - 0.1 = 0.9

n = 8

1)The probability that none fails is

P(x = 0) = 8C0 × 0.9^(8 - 0) × 0.1^0

P(x = 0) = 0.43

2) The probability that one fails is

P(x = 1) = 8C1 × 0.9^(8 - 1) × 0.1^1

P(x = 1) = 0.38

3) The probability that four fails is

P(x = 4) = 8C4 × 0.9^(8 - 4) × 0.1^4

P(x = 4) = 0.0046

3) The probability that six fails is

P(x = 6) = 8C6 × 0.9^(8 - 6) × 0.1^6

P(x = 6) = 0.00002268

4) The probability that eight fails is

P(x = 8) = 8C8 × 0.1^(8 - 8) × 0.1^8

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2 years ago

A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us

amm1812

Answer:

Given:

Sham: n= 20, x=0.44, s=1.24,

Magnet:n= 20, x =0.49, s= 0.95

For Sham:

Sample size, n = 20

Sample mean = 0.44

Standard deviation = 1.24

For Magnet:

Sample size = 20

Sample mean = 0.49

Standard deviation = 0.95

The null and alternative hypotheses:

H0: s1²=s2²

H1: s1² ≠ s2²

a) To find the test statistics, use the formula:

$\frac{s1^2}{s2^2}$

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Test statistics = 1.7037

b) P-value:

Sham: degrees of freedom $= n - 1 = 20 - 1 = 19$

Magnet: degrees of freedom $= n - 1 = 20 - 1 = 19$

The critical values:

[Za/2, df1, df2)], [(1 - Za/2), df1, df2]

$f[0.05/2, 19, 19], f[(1 - 0.05/2), 19, 19]$

$f[0.025, 19, 19], f[0.975, 19, 19]$

$(2.526, 0.3958)$

The rejection region:

Reject H0, if F < 0.3958 or if F > 2.526

c) Conclusion:

Since the critical values of test statistic is between (0.3958 < 1.7037 < 2.526), we fail to reject null hypothesis H0.

There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets

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2 years ago

What does x equal if 2x + 4x + 108? 2x \ 4x + 108 _________\__________

What does x equal if 2x + 4x + 108? 2x \ 4x + 108 _\__