Question:
In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?
Answer:
Probability that a bird will win the top prize is 0.167
Step-by-step explanation:
Given:
The number of dogs = 7
The number of cats = 6
The number of birds = 3
The number of gerbils = 2
To Find:
Probability that a bird will win the top prize = ?
Solution:
Let us first find the total number of pets .
The Total number of pets = 7 + 6 + 3 + 2 = 18
Now the probability of a bird will win the top prize is
=> 
=>
=> 
=>0.167
Answer:
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Step-by-step explanation:
In this question we have to test an hypothesis.
The null and alternative hypothesis are:
The significance level is assumed to be 0.01.
The sample of size n=80 gives a proportion of p=61/80=0.7625.
The standard deviation is:
The statistic z is then
The P-value is
The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Answer:
7
Step-by-step explanation:
collect like terms
14=-a+3a
2a=14
dividing both sides
a=7
198 feet..........1 meter
<span>------------- X-------------- </span>
<span>1 second.......3.3 feet </span>
<span>198 </span>
<span>----- meters per second </span>
<span>3.3 </span>
<span>60 meters per second.......ANSWER </span>
<span>60 m/sec X 15 sec = 900 feet.......ANSWER </span>
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<span>A PRESENT FOR YOU </span>
<span>Ask someone to write a number, say a five-digit number. </span>
<span>(Can be a 2-digit.....3-digit.....4-digit....ect..... </span>
<span>Suppose the number written is </span>
<span>57836 </span>
<span>Now, without showing the asker, you write a number on </span>
<span>a sheet of paper and keep it folded. You have to write the </span>
<span>number by subtracting 2 from the above number and </span>
<span>adding 2 in front which will be.... </span>
<span>257834 </span>
<span>Next, ask the person to write another five-digit number </span>
<span>below his original number. Suppose he writes 37589. </span>
<span>So you now have... </span>
<span>57836 </span>
<span>37589 </span>
<span>Now you write a five-digit number below it in such a </span>
<span>way that each digit is 9 minus digit above. You now have... </span>
<span>57836 </span>
<span>37589 </span>
<span>62410 </span>
<span>Ask the person to add one more 5-digit number. If he </span>
<span>adds 54732, you add below it 45267. Note that you decided </span>
<span>the number by subtracting each of his digit from 9. </span>
<span>Thus, you now have..... </span>
<span>57836 </span>
<span>37589 </span>
<span>62410 </span>
<span>54732 </span>
<span>45267 </span>
<span>Next, ask him to add all the number and he gets 257834 </span>
<span>Show him the number which you had written as an answer </span>
<span>to this addition earlier in the folded paper and surprise him.</span>
Answer:
Step-by-step explanation:
