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3 years ago

12

1/3(6x − 5) − x = 1/3 − 2(x + 1)

1 answer:

Ymorist [56]3 years ago

7 0

Answer:

x=0

Step-by-step explanation:

You might be interested in

Factor the expression 2^2 +4-12

alekssr [168]

It can't be

There is no variable

4 0

3 years ago

Can someone please help me with this?

dsp73

Answer:

$S_{13}$ = 403

Step-by-step explanation:

the sum to n terms of an arithmetic series is

$S_{n}$ = $\frac{n}{2}$ (a + l) ← a is the first term and l the last term

here a = - 5 and l = 67 , then

$S_{13}$ = $\frac{13}{2}$ (- 5 + 67) = 6.5 × 62 = 403

3 0

2 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0

2 years ago

Write an expression for 7 times t

Marysya12 [62]

Answer:

7t

Step-by-step explanation:

$7 \: times \: t = 7t$

8 0

2 years ago

A researcher is planning to compare the effects of two different types of lights on the growth of bean plants. She expects that

kicyunya [14]

Answer:

The sample size is $n = 36$

Step-by-step explanation:

From the question we are told that

The sample standard deviation is $s = 1.5$

The mean difference of the two groups is $\=x _ 1 - \=x_2 = 1$

The standard error is $SE = \frac{ \= x_1 - \= x_2}{4}$

=> $SE = \frac{1}{4}$

Let assume that the confidence level is 95% hence the level of significance is

$\alpha = (100-95)\%$

=> $\alpha = 0.05$

So the critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.96 * \frac{1}{4}$

$E = 0.49$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\alpha }{2} * s^2}}{E}]^2$

=> $n = [\frac{1.96 * 1.5}{0.49} ]^2$

=> $n = 36$

6 0

3 years ago