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il63 [147K]
2 years ago
6

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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Fred buys flags from a manufacturer for f dollars each and then sells the flags in his store for a 26%markup.
Mashutka [201]

Answer:

the markup is 1.26 (the amount added is .26)

1.26x (when x is the price Fred buys them for from the manufacturer)

1.26(40)

$50.40 is the retail price

50.4-40

$10.40 is the markup

Step-by-step explanation:

The 26% markup means that he is selling the flags 26% above the cost.

So, the cost would represent 100%, which is 1, and 26% of markup in decimal number is 0.26.

The price including the markup would be 1.26 as decimal or 126% as percentage.

The problem states that the cost is unknown, so we represent that with a variable x. The retail price would be 1.26x, which is 126% per flag.

Finally, if Fred paid $40 per flag, the actual retail price would be:

1.26($40)=$50.40.

With $10.40 of markup.

5 0
2 years ago
2/5 divided by 1/8. Simplest form
serg [7]

Answer:

1/20 or in a decimal 0.05

Step-by-step explanation:

Hope This helps :)

7 0
2 years ago
Read 2 more answers
Find the value of the X to the nearest tenth 57* 6
Otrada [13]

Answer

6 is the nearest tenth it did not say ten it said ten-th

4 0
2 years ago
After flying between two black holes, our engines have been a bit janky. The probability of one of any of our 8 power couplings
otez555 [7]

Answer:

Step-by-step explanation:

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

P(x = r) = nCr × q^(n - r) × p^r

Where

p represents probability of success

q represents probability of failure.

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

P(x = 8) = 0.00000001

5 0
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}

\frac{1.24^2}{0.95^2} = \frac{1.5376}{0.9025} = 1.7037

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
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