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Otrada [13]
3 years ago
12

Find the percent of change for #1-5

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

1 50.1253%decrease

Step-by-step explanation:

\frac{399-199}{399}

=\frac{100}{399}

=0.501253

=50.1253

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Find each quotient .<br><br> 3 1/6 ÷ 2
Arlecino [84]
1.583 or 19/12 :) is the quotient!
4 0
3 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
A line passes through the point (1, 5) and has a slope of -9.​
vladimir1956 [14]

Answer:

y= -9x+14

Step-by-step explanation:

the equation of a straight line is y=mx+c


m is the slope

And we are given a y and x term

So we substitute these into the equation:


5= -9(1) + c


rearragne to find c


14= c


so the full equation is:


y= -9x+14

8 0
2 years ago
Which equation is the inverse of y = x² - 36?
Damm [24]
Answer:
y = SQRT( x + 36 )
y = - SQRT( x + 36 )

Steps:
The 5 options you listed are unclear to me. But I provided the correct answer above.
4 0
1 year ago
What is the simplified form of ? 8x4 8x8 32x4 32x8
Elena L [17]

Answer:

480

Step-by-step explanation:

8x4=32

8x8=64

32x4=128

32x8=256

256+128+64+32=480


6 0
2 years ago
Read 2 more answers
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