Answer:
The answer is below
Step-by-step explanation:
What we should do is the following:
First, from the random sample of 852 researchers, it is necessary to obtain the number of adult residents who consumed alcohol in the past year.
After the above, we must calculate the proportion of adult residents who consumed alcohol in the last year by dividing the number of adult residents who consumed alcohol in the last year by 852.
After this, we must compare if the proportion is exactly 70% or different from it.
We have the following hypotheses:
Null Hypothesis: The proportion of adult residents who consumed alcohol in the last year in the state of Wisconsin is exactly 70%
Alternative hypothesis: The proportion of adult residents who consumed alcohol in the last year in the state of Wisconsin is not equal to 70%
Answer:
The correct option is 3.
Step-by-step explanation:
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
J = 90°, J' = 90°
K = 65°, K' = 65°
L = 25°, L' = 25°
In a rigid transformation the image and pre-image are congruent. Reflection, translation and rotation are rigid transformation.
In a non rigid transformation the image and pre-image are similar. Dilation is a non rigid transformation.
In a rigid or a nonrigid transformation, the corresponding angles are same. If the corresponding sides are same, then it is a rigid transformation and if the corresponding sides are proportional, then it is a non rigid transformation.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Therefore option 3 is correct.
Answer:
The product rule of probability tells that to determine the chances of independent events, such as the likelihood of inheriting a certain allele, probabilities are multiplied
Step-by-step explanation:
The product rule of probability states that the probability of independent events occurring together can be gotten by multiplying the probability of each event occurring alone.
The product rule is given as P(A*B) = P(A) *P(B). Where A and B are two independent events. For example when picking cards from a deck of 52 cards, the probability of getting an ace is 4/52 = 1/13 (because there are 4 aces in a deck of 52 cards) . The probability of picking a heart is 13/52 = 1/4. Therefore the probability of picking the ace of hearts is 1/4*1/13 =1/52.
