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3 years ago

WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Mathematics

2 answers:

Rufina [12.5K]3 years ago

8 0

Answer:

(2, -1)

Step-by-step explanation:

because that's where the lines intersect

ladessa [460]3 years ago

8 0

(2,-1)

The solution is where the lines intersect

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If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

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".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: 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:

$df=n-1=36-1=35$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$

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

$62-2.72\frac{8}{\sqrt{36}}=58.373$

$62+2.72\frac{8}{\sqrt{36}}=65.627$

So on this case the 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0

3 years ago

A florist is going to make a five flower arrangement from the following flowers: a lily, a rose, a carnation, a daisy, a dahlia,

Novosadov [1.4K]

Here total available flowers are a lily,a rose , a carnation , a daisy, a dahlia and an iris that is 6 .

And florist is going to make a five flower arrangement from the given 6 flowers without selecting a daisy. SO he have a total of 5 flowers available .

Therefore required probability = 5/6

7 0

3 years ago

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X^2-3x-18 in simplest form

Kay [80]

$= x ^{2} - 3x - 18 \\ =x ^{2} - (6 - 3)x - 18 \\ = x ^{2} - 6x + 3x - 18 \\ = x(x - 6) + 3(x - 6) \\ = (x - 6)(x + 3)$

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3 years ago

How to Graph y=4/5x-7

densk [106]

You start at the y axis and go down 7 so the coordinate is (0, 7) then you move to the right five spaces from (0, 7) and go up 4 from the spot you moved right 7. This should have a positive slope

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3 years ago

Select the description that is true of the equation y=-5x+5 .

gladu [14]

In y = mx + b form, the slope is in the m position and the y intercept is in the b position.

y = (m)x + (b)
y = -5 x + 5.....slope (m position) = -5....y int (b position) = 5

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3 years ago