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larisa86 [58]
3 years ago
10

The probability of event A is 1/3. The probability of event b is 1/4. What can you include about the two events​

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

Step-by-step explanation:1/4

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The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in
oksano4ka [1.4K]

Answer:

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

p_v =P(Z>2)=0.0228  

Step-by-step explanation:

1) Data given and notation  

\bar X=8300 represent the sample mean  

\sigma=1200 represent the population standard deviation  

n=64 sample size  

\mu_o =800 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :  

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

4) P-value  

Since is a one-side upper test the p value would given by:  

p_v =P(Z>2)=0.0228  

5) Conclusion  

If we compare the p value and the significance level assumed, for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.  

4 0
3 years ago
800 is 10 times as much as what
Margaret [11]
800 is 10 times as much as 80
8 0
3 years ago
A rectangle has a height of 5 and a width of 4x^2 – 2x – 6.
bogdanovich [222]

The area of the rectangle is 20x^{2} -10x-30 units.

Step-by-step explanation:

Step 1:

The area of a rectangle is obtained by multiplying the length with the width of the rectangle.

Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of 4x^{2}, -2x, and -6.

So the length of the rectangle = 5 units and

the width of the rectangle = 4x^{2} -2x-6 units.

The area of a rectangle = (length)(width).

Step 2:

By substituting the known values, we get

The area of the rectangle = (5) (4x^{2} -2x-6) = 20x^{2} -10x-30.

So the area of the rectangle is 20x^{2} -10x-30 units.

3 0
3 years ago
Please help I don't know which of these answers are correct.
givi [52]

Answer:

The photo below

Step-by-step explanation:

I hope I've helped you.

I hope you've undertand the image.

3 0
3 years ago
Vanh is going to the store to purchase mangoes. At Fruitie-Tutie she can purchase 5 mangoes for $1.80. At Fruits-4-Less, she can
barxatty [35]

frutitie tutie

Step-by-step explanation:

better buy.......

6 0
2 years ago
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