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irina [24]
3 years ago
15

Round 58.6790691589 to the nearest hundred-thousandth.

Mathematics
2 answers:
suter [353]3 years ago
6 0

Answer:

58.678

Step-by-step explanation:

Just make the answer reach 3 numbers after the decimal point.

malfutka [58]3 years ago
5 0
Answer: The number above rounded to nearest hundredth thousands is 58.679.
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A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca
saul85 [17]

Answer:

The 95% confidence interval for the difference would be given by (-1.776;0.376)

We are 95% confidence that the true mean difference is between -1.776 \leq \mu_d \leq 0.376. Since the confidence interval contains the value 0, we don't have enough evidence to conclude that hypnotism appear to be effective in reducing pain.

Step-by-step explanation:

Previous concepts

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".

Let put some notation  

x=test value before , y = test value after

x: 6.4 2.6 7.7 10.5 11.7 5.8 4.3 2.8

y: 6.7 2.4 7.4 8.1 8.6 6.4 3.9 2.7

The differences defined as d_i = y_i -x_i and we got:

d: 0.3, -0.2, -0.3, -2.4, -3.1, 0.6, -0.4, -0.1

We can calculate the mean and the deviation for the sample with the following formulas:

\bar d=\frac{\sum_{i=1}^n d_i}{n}

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}

\bar d=-0.7 represent the sample mean for the difference

\mu_d population mean (variable of interest)

s_d=1.32 represent the sample standard deviation

n=8 represent the sample size  

Confidence interval

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

\bar d \pm t_{\alpha/2} *\frac{s_d}{\sqrt{n}}  (1)

In order to calculate the critical value t we need to find first the degrees of freedom, given by:

df=n-1=8-1=7

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 table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that t_(\alpha/2)=2.306

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

-0.7-2.306\frac{1.32}{\sqrt{8}}=-1.776    

-0.7+2.306\frac{1.32}{\sqrt{8}}=0.376    

So on this case the 95% confidence interval for the difference would be given by (-1.776;0.376)

We are 95% confidence that the true mean difference is between -1.776 \leq \mu_d \leq 0.376. Since the confidence interval contains the value 0, we don't have enough evidence to conclude that hypnotism appear to be effective in reducing pain.

6 0
3 years ago
Can anyone help me pls ( if you can, can you do it on paper and post it with the answer)
Alla [95]

Answer:

x = 6

Step-by-step explanation:

44 + 3x = 5x + 2x + 20 transfer like terms to the same side of the equation with the opposite sign:

44 - 20 = 5x + 2x - 3x add/subtract like terms

24 = 4x divide both side by 4

6 = x

8 0
2 years ago
If a + b = 7 and b=3, what is 4a<br> A. 20b<br> B. 17a<br> C. 16<br> D.20
evablogger [386]
C 16 because a is 4 and 4 times 4 is equal to 16
3 0
3 years ago
Read 2 more answers
I think it’s B<br> Can you help me
sergij07 [2.7K]
I believe it is B as well, it’s definitely not linear and it is a function from my understanding.
3 0
2 years ago
Read 2 more answers
If A =(-1,-3) and B = (11,-8), what is the length of AB?
Kitty [74]

Answer:

C

Step-by-step explanation:

Calculate AB using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 1, - 3) and (x₂, y₂ ) = B(11, - 8), thus

AB = \sqrt{(11+1)^2+(-8+3)^2}

     = \sqrt{12^2+(-5)^2}

     = \sqrt{144+25} = \sqrt{169} = 13 → C

4 0
3 years ago
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