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Olin [163]
2 years ago
9

Geneva has a spinner with eight equal parts numbered one thru eight. If Geneva spins the spinner one time, what is the probabili

ty that the spinner will land on the number two?
A. 1/8
B. 2/8
C. 8/2
D. 8/1
Mathematics
2 answers:
Alex73 [517]2 years ago
8 0
Answer: A

Explanation: A would be the right answer because it says equal parts. If it weren’t equal then the probability would be all messed up.
katrin2010 [14]2 years ago
6 0

Answer: I would go with A. 1/8

Step-by-step explanation: if she is only spinning it one time, and she is hoping to get 1 specific answer and there are 8 options, then 1/8 is the only one that makes sense. That’s a 12.8% chance of landing on two. I apologize if I’m incorrect.

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Step-by-step explanation:

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3 years ago
Angle a is one ninth as large as its complement angle b
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3 years ago
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
Find the location of the x-intercept, the location of the y-intercept, and the slope for the line
I am Lyosha [343]

Answer:

x intercept  (15/4,0)

y intercept (0,2)

slope 8/15

Step-by-step explanation:

15y − 8x = 30.

To find the x intercept, set y =0

15(0) -8x = 30

8x = 30

Divide each side by 8 to solve for x

8x/8 = 30/8

x = 15/4

To find the y intercept, set x =0

15y -8(0) = 30

15y = 30

Divide each side by 15

15y/15 = 30/15

y =2

To find the slope we solve the equation for y

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Add 8x to each side

15y − 8x+8x =8x +30.

15y = 8x +30

Divide each side by 15

15y/15 = 8x/15 +30/15

y = 8/15x +2

The slope is 8/15

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