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astra-53 [7]
3 years ago
10

Analysis of visitor behavior has shown that fans are equally likely to leave the stadium through any of the 5 marked stadium exi

ts. What is the probability of a visitor exiting through either exit A or exit B?
0.20

0.40

0.02

0.04
Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

0.40

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

Exit A or exit B, so 2 desired outcomes.

This means that D = 2

Total outcomes:

Any of the 5 exits, so T = 5

Probability:

p = \frac{2}{5} = 0.4

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Daily-high temperature measurements for 40 consecutive days are recorded for a particular city. The mean daily-high temperature
Vesnalui [34]

Answer:

t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108    

p_v =P(t_{39}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.  

(D) P-val=0.021, fail to reject the null hypothesis

Step-by-step explanation:

1) Data given and notation  

\bar X=21.5 represent the mean for the temperatures

s=1.5 represent the sample standard deviation

n=40 sample size  

\mu_o =22 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

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

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is less than 22C, the system of hypothesis would be:  

Null hypothesis:\mu \geq 22  

Alternative hypothesis:\mu < 22  

If we analyze the size for the sample is > 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-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".  

Calculate the statistic

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

t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108    

P-value

We can calculate the degrees of freedom like this:

df=n-1=40-1=39

Since is a one left tailed test the p value would be:  

p_v =P(t_{39}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.  

The best option would be:

(D) P-val=0.021, fail to reject the null hypothesis

5 0
3 years ago
I forgot how to find x
GuDViN [60]
You would do 2x-3+x+3x-15=360
combine like terms which then gives you 
5x-18=360 then you would add 18 to both sides giving you
5x=378 
and then you divide by 5 on both sides which will then give you your answer x=?
6 0
3 years ago
Write 4.7 as a mixed number with a fraction in simplest form ​
andrezito [222]

Answer:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is

1

number to the right of the decimal point, place the decimal number over

10

1

(

10

)

. Next, add the whole number to the left of the decimal.

4

7

10

Step-by-step explanation:

6 0
3 years ago
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Two numbers have the ratio 7:5. Their difference is 12.Find the numbers.<br><br>​
cupoosta [38]

Answer:

42 and 30

Step-by-step explanation:

3 0
3 years ago
Help would be very much appreciated;)
sveta [45]

Answer:

9/41

Step-by-step explanation:

i did this

6 0
3 years ago
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