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Mars2501 [29]
2 years ago
11

Find the minimum value of the following equation:

Mathematics
1 answer:
Mandarinka [93]2 years ago
8 0

Answer:

×=11

Step-by-step explanation:

2×-4×+27-5=0

-2×+22=0

-2×=-22

×=11

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35. In a simple random sample of 25 high school students, the sample mean of the SAT scores was 1450, and the sample variance wa
Tatiana [17]

Answer:

1450-2.0\frac{30}{\sqrt{25}}=1450-12    

1450+2.0\frac{30}{\sqrt{25}}=1450+12    

And the best option would be:

c. 1450 +/- 12

Step-by-step explanation:

Information provided

\bar X=1450 represent the sample mean for the SAT scores

\mu population mean (variable of interest)

s^2 = 900 represent the sample variance given

n=25 represent the sample size  

Solution

The confidence interval for the true mean is given by :

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The sample deviation would be s=\sqrt{900}= 30

The degrees of freedom are given by:

df=n-1=2-25=24

The Confidence is 0.954 or 95.4%, the value of \alpha=0.046 and \alpha/2 =0.023, assuming that we can use the normal distribution in order to find the quantile the critical value would be z_{\alpha/2} \approx 2.0

The confidence interval would be

1450-2.0\frac{30}{\sqrt{25}}=1450-12    

1450+2.0\frac{30}{\sqrt{25}}=1450+12    

And the best option would be:

c. 1450 +/- 12

3 0
3 years ago
The base of a rectangular prism is 20 cm2. If the height of the prism is 5 cm, what is its volume?
nexus9112 [7]
So to find the answer u must multiply 20 x 5= 100
7 0
3 years ago
The sum of the measures of angle x and y is 90. If the measures of angle x is 30 less than twice the measures of angle y what is
svp [43]
First set up your two equations:

x + y = 90

x = 2y - 30

Then substitute what x equals in the second equation into the first equation:

(2y -30) + y = 90

Now solve for y:

3y -30 = 90
3y = 120
y = 40

Then use y = 40 and substitute the value for y into one of your original equations and solve for x.  I'll choose the first one, but either one will work.

x+ 40 = 90
x = 50

So your solution is x = 50 and y = 40


8 0
3 years ago
Hey guys maths today
allochka39001 [22]
Angle B is 36. Hope this helps. :)
7 0
3 years ago
Read 2 more answers
What is the slope of this line?
ArbitrLikvidat [17]

Answer:

The slope is 1 because its rise over run is 1/1 which equals to 1. Its also a positive slope. Hope this helps!

5 0
3 years ago
Read 2 more answers
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