Since RS and ST are congruent sides, angles SRT and STR will be equal. Also, angles STU (5x) and STR added together equals 180. Therefore angles STU and SRT will also equal 180. All that's left to do is set up the equation and solve. 5x - 30 + 5x = 180.
The probability is the number of positive events divided by the number of total possible events. The probability searched will be the probability that the first fish selected is a goldfish times the probability that the second fish selected is also a goldfish. The probability that the first fish selected is a goldfish is the number of goldfish in the tank divided by the total number of fish, i.e. 18 / 40. The probality that the second fish selected is a goldfish is 17 / 39 (because there is one goldfish less in the thank). Then, the joint probability is (18/40)*(17/39) = 306/1560 =102/ 520 = 51/260. Then,<span> the answer is the option b. 51/260</span>
Yes, as long as the two lines never meet, they are parallel
Answer:
a. The p-value is less than α, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of books lasting at least 6 months when glued with G is different from the proportion of books lasting at least 6 months when glued with K.
Step-by-step explanation:
It is given that the library books are often glued for keeping the pages stick and intake. A glue is considered successful if it is able to make the pages of the book intake for at least six months.
It is given that the value of α is = 0.01
and the value of p is = 0.006
Thus when the p-value is less than the value of α, it results in the null hypothesis to get rejected. And there is no convincing support claim that the proportion of the books glued with G lasted for 6 months is different from the proportion of the books that lasted for 6 months when it is glued with K brand.
no. of right answers = 60
no. of wrong answers = 40
