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4 years ago

Expand and simplify 3(x +4)+2x

Mathematics

2 answers:

VMariaS [17]4 years ago

8 0

3(x+4)+2
3x+12+2
3x+14

Verdich [7]4 years ago

6 0

Answer:

Step-by-step explanation:

3(x +4)+2x = 3x+12+2x

=5x+12

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Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 17 cans of the so

LiRa [457]

Answer:

a)Null Hypothesis: $\sigma^2 \geq 0.0196$

Alternative hypothesis: $\sigma^2$

b) $\chi^2 =\frac{17-1}{0.0196} 0.0121 =9.878$

c) $p_v =P(\chi^2$

d) If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14

Step-by-step explanation:

Data given

$n=17$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s^2 =0.11^2 = 0.0121$ represent the sample variance obtained

$\sigma^2_0 =0.14^2 = 0.0196$ represent the value that we want to test

Part a System of hypothesis

On this case we want to check if the population deviation is lower than 0.14, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 0.0196$

Alternative hypothesis: $\sigma^2$

Part b: Calculate the statistic

The statistic is given by:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And replacing we got:

$\chi^2 =\frac{17-1}{0.0196} 0.0121 =9.878$

Part c: Calculate the p value

In order to calculate the p value we need to find first the degrees of freedom , on this case 17-1=16. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(9.878,16,TRUE)"

Part d: Conclusion

If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14

8 0

3 years ago

If you were to roll the dice one time what is the probability it will land on 4

vovangra [49]

Answer: 1/6

Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.

Number of favorable outcomes/total number of outcomes

Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.

So the probability of rolling a 4 is 1/6 which is equivalent

to 0.167 or 16.7%.

That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.

3 0

4 years ago

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Help me out please please

mr_godi [17]

Answer:

2.25π m²

Step-by-step explanation:

The area (A) of a circle is calculated using the formula

A = πr² ← r is the radius

here the diameter = 3

The radius is half the diameter, that is radius = 1.5, so

A = π × 1.5² = 2.25π m²

4 0

3 years ago

I will make u a brainllest

Luba_88 [7]

Answer: d) q--->r

Step-by-step explanation:

This is an example of substitution. We know that p=q, and need to make p=r.

Lets assume p=3. Then q must equal 3. Then r must equal three. Thus, q=r.

If x=y and x=z then y=z

7 0

3 years ago

What words can you use to read 14.895

Setler79 [48]

Hey there!

The answer is: Fourteen Point Eight Hundred Ninety-Five Thousandths

Hope this helps! :)

Hugs!- Nicole

5 0

3 years ago

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