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3 years ago

Which is equivalent to 4x/x-7 - x+7/x

Mathematics

1 answer:

spin [16.1K]3 years ago

6 0

Answer:

The answer to your question is the second choice

Step-by-step explanation:

4x/ (x - 7) - (x +7) / x

- Find the greatest common factor from x and (x - 7)

GCF = x(x - 7)

- Substract the terms

[4x(x) - (x + 7)(x - 7)] / x(x - 7)

- Simplify

[ 4x² - x² + 49] / x(x - 7)

[ 3x² + 49] / x(x - 7)

- Result

3x² + 49 / x(x - 7)

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Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) Standard deviation of 23 bags

$\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167$

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

$P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)$

$= 1 - P(z < 12.57)$

Calculation the value from standard normal z table, we have,

$P(x < 5.95) = 1 - 1 = 0$

c) P( fill volume of 23 bags is below 6 ounces) = 0.001

P(x < 6) = 0.001

$P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})$

Calculation the value from standard normal z table, we have,

$P( z \leq -3.09) = 0.001$

$\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948$

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0

3 years ago

Consider the following sequence

wlad13 [49]

Answer:

a₇ = 2.375

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = $\frac{-76}{152}$ = $\frac{38}{-76}$ = $\frac{-19}{38}$ = - $\frac{1}{2}$

This indicates the sequence is geometric with nth term

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 152 and r = - $\frac{1}{2}$ , then

$a_{n}$ = 152 $(-\frac{1}{2}) ^{n-1}$ , so

a₇ = 152 $(-\frac{1}{2}) ^{6}$ = 152 × $\frac{1}{64}$ = 2.375

3 0

3 years ago

Read 2 more answers

Use the following function rule to find f(0). f(x)=3(8)^x + 6 f(0)=

Anestetic [448]

Answer:

Answer: 9

Step-by-step explanation:

${ \tt{f(x) = 3( {8)}^{x} + 6 }}$

• For f(0), substitute x with zero:

${ \tt{f(0) = 3( {8)}^{0} + 6}} \\ \\ { \tt{f(0) = (3 \times 1) + 6}} \\ \\ { \tt{f(0) = 3 + 6}} \\ \\ { \boxed{ \tt{ \: f(0) = 9 \: }}}$

6 0

2 years ago

(05.02) PLEASE ACTUALLY ANSWER AND EXPLAIN WELL!! :)

Nadusha1986 [10]

Answer:

x = 40°

Step-by-step explanation:

Straight angle is equal to 180°

Angle x, 60° and 80° form a straight angle.

Then we have following equation to solve for x:

x + 60° + 80° = 180°
x + 140° = 180°
x = 180° - 140°
x = 40°

6 0

2 years ago

Read 2 more answers

The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a

Anon25 [30]

Answer:

Step-by-step explanation:

Given that X - the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.

Height of male pilot = 74.2 inches

We have to find the percentile

X = 74.2

Corresponding Z score = 74.2-72.6 = 1.6

P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%

i.e. only 5% are below him in height.

Thus the malepilot is in 5th percentile.

4 0

2 years ago