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Usimov [2.4K]
3 years ago
8

511 = -7 (10x – 13) steps

Mathematics
2 answers:
densk [106]3 years ago
7 0

Answer:

511 =  - 7(10x - 13) \\ 511 =  - 70x + 91 \\ 511 - 91 = -  70x \\ 420 =  - 70x \\  \frac{420}{ - 70}  =  \frac{ - 70x}{ - 70}  \\  \\ x =  - 6

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em>

PilotLPTM [1.2K]3 years ago
3 0

Answer: x=-6

<u>Simplify both sides of the equation</u>

<u></u>511=(-7)(10x)+(-7)(-13)(Distribute)\\511=-70x+91<u></u>

<u></u>

<u>Flip the equation</u>

<u></u>-70x+91=511<u></u>

<u></u>

<u>Subtract 91 from both sides</u>

<u></u>-70x+91-91=511-91\\-70x=420<u></u>

<u></u>

<u>Divide both sides by -70</u>

<u></u>-70x/70=420/-70\\x=-6<u></u>

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Step-by-step explanation:

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2 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
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As seen, the graph is pointing/increasing upwards. This means that the graph is exponentially increasing. 

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