Answer:
8 hours 30 minutes
Step-by-step explanation:
6:05 pm - 9:35 am =
= 18:05 - 9:35
= 17:65 - 9:35
= 8:30
Considering the probabilities of getting each question right, his expected score for the test is 90.8.
<h3>How to find Joe's expected score?</h3>
Joe's expected score is given by the sum of the expected score for each question.
We have that:
- He is sure of 12 answers, hence for each he expects 6 points.
- He randomly guesses on 9 problems, hence he is expected to have a 1/5 probability of earning 6 on them.
- For the other 4 problems, he has a 1/3 probability of earning 6 on them, as he will guess from 3 options as he eliminated 2.
Hence his expected score is given by:
E(X) = 12 x 6 + 9 x 1/5 x 6 + 4 x 1/3 x 6 = 90.8.
More can be learned about the expected score of a distribution at brainly.com/question/13617733
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40 times there are 4quarts in each gallon so 4 times 10 gallons
Answer:
Rigid transformations preserve segment lengths and angle measures.
Rigid transformations produce congruent figures.
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.
Step-by-step explanation:
- A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.
- Reflection in the plane, translations and rotation or a combination of them produce images that are congruent to the preimage.
- This implies that, two figures are congruent if and only if a rigid transformation or a combination of one or more rigid transformations will map one plane figure onto another.
- Therefore all the given options are true.
