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Aleks [24]
3 years ago
8

2x-1/4(12x+4)=3 Step 1: 2x+3x+1=3 Step 2: 5x+1=3 Step 3: 5x+1-1=3-1 Step 4: 5x=2 Which step was the error made and why?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

step 1

2x-1/4(12x+4)=3

2x-3x-1=3

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The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A
Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)    

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) 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".

\bar X =65 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size  

2) Confidence interval

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=11-1=10

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that t_{\alpha/2}=1.81

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

65-1.81\frac{9}{\sqrt{11}}=60.09    

65+1.81\frac{9}{\sqrt{11}}=69.91

So on this case the 90% confidence interval would be given by (60.09;69.91)    

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

3 0
2 years ago
Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are not close
Mrrafil [7]

Answer:

  f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial.

Step-by-step explanation:

The set of all polynomials is <em>closed</em> under addition, subtraction, and <em>multiplication</em>, because performing any of these operations on a pair of polynomials will give a polynomial result.

__

<em>Comment on the question</em>

The wording is a bit strange, because f(x) and g(x) are elements of a set (of polynomials), so cannot be said to be "closed." "Closed" is a property of a set with respect to some function, it is not a property of an element of the set.

6 0
2 years ago
4 less than a number n is - 15 as a equation
Nikitich [7]

Answer:

I believe the equation would be n - 2 = -15.

Step-by-step explanation:

"4 less than a number (n)" is subtraction. You can write it as "n minus 4". "is -15" means this is the difference. This can also be written as "equals -15".

n - 4 = -15

Hope this helps,

♥<em>.A.W.E</em><u><em>.S.W.A.N.</em></u>♥

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME!! It’s due
tatyana61 [14]

Answer:

dont cheat

Step-by-step explanation:

cheaters never win bro

5 0
3 years ago
Inquashia took out a 2900 loan for a car the interest on the loan is a 8% compounded monthly how much in total will in Isha and
Shtirlitz [24]

Answer: the total amount after 6 years is 4690

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount of the loan at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount loaned.

From the information given,

P = 2900

r = 8% = 8/100 = 0.08

n = 12 because it was compounded 12 times in a year.

t = 6 years

Therefore,

A = 2900(1 + 0.08/12)^12 × 6

A = 2900(1 + 0.0067)^72

A = 2900(1.0067)^72

A = 4690

8 0
2 years ago
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