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Lemur [1.5K]
3 years ago
14

2. How many solutions does this system have?

Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0
X+5= -5x-1 

solve for x:

6x=-6 

x= -1

therefore, there is a unique solution (one)
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Using the rule y = 2x + 3, find the value of y when x is 3.<br> A) 0 <br> B) 8 <br> C) 9 <br> D) 12
tia_tia [17]
Hi there.

Y = 2x + 3
Solve for y when x = 3
The first thing we need to do is replace x by the 3 in the equation.
Y = 2(3) + 3
Y = 6 + 3
Y = 9
Thus, your answer is : C
7 0
3 years ago
A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.
nika2105 [10]

Answer:

The best point of estimate for the true mean is:

\hat \mu = \bar X = 2.55

2.55-1.96\frac{12}{\sqrt{76}}=-0.148    

2.55+1.96\frac{12}{\sqrt{76}}=5.248    

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

\bar X=2.55 represent the sample mean for the late time for a flight

\mu population mean

\sigma=12 represent the population deviation

n=76 represent the sample size  

Confidence interval

The best point of estimate for the true mean is:

\hat \mu = \bar X = 2.55

The confidence interval for the true mean is given by:

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

The Confidence level given is 0.95 or 95%, th significance would be \alpha=0.05 and \alpha/2 =0.025. If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got z_{\alpha/2}=1.96

Replacing we got:

2.55-1.96\frac{12}{\sqrt{76}}=-0.148    

2.55+1.96\frac{12}{\sqrt{76}}=5.248    

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0
3 years ago
Which of the following numbers can be expressed as a decimal that terminates? 3/2, 2/3, 3/4, 5/7
Alenkasestr [34]

Answer:

3/2 and 3/4 are terminating decimals

Step-by-step explanation:

Terminating decimals are those whose decimals end.

3/2 = 1 .5

2/3 = .6666repeating

3/4 = .75

5/7 =.714285repeating

8 0
3 years ago
Read 2 more answers
How does writing a function rule as an equation help you solve problems with more than one situation or parameter?
Paha777 [63]
Because then you can replace the variables with the actual value and see of the equation is true.
7 0
3 years ago
On a manufacturer's assembly line, 3% of its merchandise comes off defective. If the company has 354 defective items, how many t
evablogger [386]

Answer: this is the steps to working the problem and the answer is 54: 3% means 3 out of each 100. if you have 100 items, 3% is just 3. You need more than 100 times as many (you want 354), so x must be more than 100 * 100, right? 3% of 10.62 is less than 1, and the problem says there are 354 :-)

Step-by-step explanation:

6 0
2 years ago
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