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Mama L [17]
3 years ago
13

Is -0.06006000600006... rational or irrational?​

Mathematics
2 answers:
aleksklad [387]3 years ago
4 0
It’s an irrational number because it doesn’t repeat or terminate. It can’t be turned into a fraction, therefore it’s irrational.
jok3333 [9.3K]3 years ago
3 0
This is an irrational number
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According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating
Natali [406]

Answer:

a) Null and alternative hypothesis

H_0: \mu=32.48\\\\H_a:\mu< 32.48

b) Test statistic t=-1.565

P-value = 0.0612

NOTE: the sample size is n=65.

c) Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

d) Null and alternative hypothesis

H_0: \mu=32.48\\\\H_a:\mu< 32.48

Test statistic t=-1.565

Critical value tc=-1.669

t>tc --> Do not reject H0

Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Then, the null and alternative hypothesis are:

H_0: \mu=32.48\\\\H_a:\mu< 32.48

The significance level is 0.05.

The sample has a size n=65.

The sample mean is M=30.15.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{65}}=1.4884

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{30.15-32.48}{1.4884}=\dfrac{-2.33}{1.4884}=-1.565

The degrees of freedom for this sample size are:

df=n-1=65-1=64

This test is a left-tailed test, with 64 degrees of freedom and t=-1.565, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.0612) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

<u>Critical value approach</u>

<u></u>

At a significance level of 0.05, for a left-tailed test, with 64 degrees of freedom, the critical value is t=-1.669.

As the test statistic is greater than the critical value, it falls in the acceptance region.

The null hypothesis failed to be rejected.

6 0
2 years ago
Lexi has 514 cups of popcorn. How many friends can she share with if each person gets 78
s2008m [1.1K]

Answer:

approx. 6 friends brainiest rate 5 stars and thank mee : )

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
Hey! i’ll give brainliest please help
adoni [48]

Answer: The last choice

Tension between a characters two desires.

Step-by-step explanation:

External conflict includes

Man vs Man

Man vs Nature

Man vs society

which is what the first three choices show. while the last choice shows an internal conflict.

4 0
3 years ago
There are 6 red socks and 8 black
RideAnS [48]

Answer:

24/91

Step-by-step explanation:

6 red socks and 8 black = 14 socks

P( red) = red/total = 6/14 = 3/7

Keep the red sock

5 red socks and 8 black = 13 socks

P(black) = black / total = 8/13

P(red, black, keeping the sock) = 3/7 * 8/13 = 24/91

5 0
3 years ago
PLEASE HELP
irina [24]
Take the longer leg length as x

(x-8)^2+x^2=(x+8)^2 \\ \\ x^2-16x+64+x^2=x^2+16x+64 \\ \\ x^2-32x=0

Use the formular
x={ \frac{-b+ \sqrt{ b^2-4ac}}{2a} } \\ \\ x={ \frac{32+32}{2} } \\ \\ x=32

∴ shorter leg = 32 - 8 = 24ft
longer leg = 32ft
hypotenuse = 32 + 8 = 40ft
8 0
3 years ago
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