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3 years ago

2(x)+2(2)=2(x/2)-2(x) Solve this please and show the steps!!!!!!

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

7 0

Answer:-4/3

Step-by-step explanation:

2(x)+2(2)=2(x/2)-2(x)

Remove brackets by multiplying through

2x + 4=x - 2x

Collect like terms

2x+2x-x=-4

3x=-4

Divide both sides by 3

3x/3=-4/3

x=-4/3

Olin [163]3 years ago

5 0

Answer: $x=-\frac{4}{3}$

Step-by-step explanation:

$2(x)+2(2)=2(\frac{x}{2})-2(x)$

Remove all those parentheses by multiplying. Note: 2 and 2 cancel out.

$2x+4=x-2x$

Subtract 2x

$4=x-2x-2x$

Combine like terms;

$4=-3x$

Divide by -3

$\frac{4}{-3}=x$

Rewriting it;

$x=-\frac{4}{3}$

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An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0

3 years ago

How do you find a value of x so that f(x) = 7?

DiKsa [7]

Answer:

When f(x) = 7, x is equal to 5.

Step-by-step explanation:

When looking at this graph, we are looking for where the line hits a point where y is equal to 7. That's because f(x) is essentially the same thing as y.

The point in which the graph hits y = 7 is (5, 7). This means the x value we need is 5.

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Dafna1 [17]

Answer:

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Step-by-step explanation:

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vesna_86 [32]

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