robert7248
29.01.2020 •
Mathematics
me this is for test 85 points.
you are lost deep in a forest and haven’t eaten for two days, when you find a patch of toadstools in a clearing between the trees. your mouth waters as you count all 50 toadstools, but you decide that you should check your guidebook to see if they are safe to eat. the guidebook says that in this forest 60% of the toadstools are poisonous, 80% taste terrible, and 56% are both poisonous and taste bad. unfortunately, all of the toadstools kind of look the same, and you are too hungry too even see straight. how many of the toadstools are both non-poisonous and don’t taste bad? • what is the problem asking? what do we know? work out the problem showing each step of your process.
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Ответ:
8
Step-by-step explanation:
What is the problem asking : It is asking for the number of toadstools that are both non-poisonous and dont taste bad.
GIVEN : (what we know)
so we have 50 toadstools...
60% are poisonous, 80% taste terrible, 56% are both
this is the equivalent of a venn diagram without the circles :
only poisonousbothonly taste terrible
60% - 56% = 4% 56% 80% - 56% = 24%
only poisonous + both + only taste bad + non-poisonous/dont taste bad = 100%
4% + 56% + 24% + x = 100%
84% + x = 100%
x = 100% - 84%
x = 16%so 16% of the toadstools are neither poisonous or dont taste bad.
And we have 50 toadstools16% of which are non-poisonous and dont taste bad
so 16% of 50 = 0.16(50) = 8 <=== non-poisonous / dont taste bad
Ответ:
Hence, Stacy will spin 6, 8.33 times out of her n = 50 attempts.
Step-by-step explanation:
Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.
We will estimate the number of times that she spins a 6 as the expected value of this random variable.
Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.
Then , in this case, with n=50 and p=1/6 we expect to have number of times of having a 6, which is 8.33.