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VARVARA [1.3K]
3 years ago
11

What is x/2 - 4 = -9

Mathematics
2 answers:
vivado [14]3 years ago
7 0

Answer:

-10

Step-by-step explanation:

Shtirlitz [24]3 years ago
5 0

Answer:

-10

Step-by-step explanation:

x/2 - 4 = -9

1) add 4 to both sides:

      x/2 = -5

2) multiply both sides by 2

     x = -10

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Peter flips a coin 50 times. What is the theoretical probability of flipping a heads?
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Find two numbers that multiply to 36 and add to -20
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5 0
3 years ago
In a certain company, there were five candidates running for President. After the vots were tallied, it turned out that Victor,
Alborosie

Considering the situation described, the classification of the elections is given as follows:

  • David came in first place.
  • Greg came in second place.
  • Victor came in third place.
  • Mac came in fourth place.
  • Bill came in fifth place.

<h3>How to find the classification of the elections?</h3>

We take the situation that is described, and build the classification from it. The classification has the following format:

P1 - P2 - P3 - P4 - P5

With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.

From the text given in this problem, we have that:

  • Victor finished in third place, and David beat him, hence P3 = Victor, David = P1 or P2.
  • Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.
  • Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.
  • From the bullet points above, we can conclude that David = P1, Greg = P2.

Hence the places of each candidate are given as follows:

  • David came in first place.
  • Greg came in second place.
  • Victor came in third place.
  • Mac came in fourth place.
  • Bill came in fifth place.

A similar problem, in which a situation is interpreted, is given at brainly.com/question/5660603

#SPJ1

7 0
2 years ago
Here are summary statistics for randomly selected weights of newborn​ girls: nequals=174174​, x overbarxequals=30.930.9 ​hg, seq
MaRussiya [10]

Answer:

The 95% confidence interval would be given by (29.780;32.020)  

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=30.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=7.5 represent the sample standard deviation

n=174 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=174-1=173

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,173)".And we see that t_{\alpha/2}=1.97, this value is similar to the obtained with the normal standard distribution since the sample size is large to approximate the t distribution with the normal distribution.  

Now we have everything in order to replace into formula (1):

30.9-1.97\frac{7.5}{\sqrt{174}}=29.780    

30.9+1.97\frac{7.5}{\sqrt{174}}=32.020

So on this case the 95% confidence interval would be given by (29.780;32.020)    

The value 29.6 is not contained on the interval calculated.

5 0
3 years ago
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