HELP ME PLEASE AND FAST HURRY

Mathematics

2 answers:

KonstantinChe [14]4 years ago

8 0

Answer:

(1,0)

Step-by-step explanation:

The vertex is the maximum of the parabola

It is at x=1 and y = 0

(1,0)

jolli1 [7]4 years ago

8 0

Answer:

(1, 0)

Step-by-step explanation:

In simpler words, the vertex of a parabola is where it bends.

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At a local bodega, the cost of a bottle of soda at the corner store is $1.20, and the cost of a bottle of juice is $1.05. What w

irinina [24]

Part 1 6(1.20)+4(1.05)=$11.40

Part 2 1.20x+1.05y

5 0

2 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

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

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ 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: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$