Answer:
vertical translation of 5 units in the negative y direction, followed by a vertical translation of 7 units in the negative y direction.
Step-by-step explanation:
given f(x)=6x
f(x)=6x ---> f(x)=6x - 5 (Vertical translation by 5 units in the negative y (i.e downward) direction)
f(x)=6x - 5 ---> f(x)=6x - 5 - 7 (Vertical translation by 7 units in the negative y (i.e downward) direction)
hence it is a vertical translation of 5 units in the negative y direction, followed by a vertical translation of 7 units in the negative y direction.
Answer:
A.
Step-by-step explanation:
Atom is the smallest thing g possible and organ is the biggest on that list.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
kaheart [24]
Answer:
3/10
Step-by-step explanation:
<em>Step 1 : Write the formula of calculating probability</em>
Probability = Number of favourable outcomes/Number of total outcomes
<em>Step 2 : Identify the favourable (requires) outcomes and the total outcomes</em>
- Total outcomes are the total cards that are placed on the table = 10 cards
- The favourable outcomes are the number of cards that have an even number on them.
12, 14, 18 = 3 cards
<em>Step 3 : Substitute the values in the formula</em>
Probability = Number of favourable outcomes/Number of total outcomes
Probability = 3/10
Therefore, the probability of picking a card with and even number is 3/10.
!!
Answer:
They are equivalent by Associative Property
Step-by-step explanation:
(3•6)•9 is 18•9 which is 162
3•(6•9) is 3•54 which is also 162
So the difference between the two expressions is that they are grouped differently. In the first expression the 3•6 had to be multiplied first. In the other expression the 6•9 had to be multiplied first. But really both were 3•6•9 and it's all multiplication and can happen in any order. But the order 3, 6, 9 did not change. That is Associative property that says you can multiply by grouping factors differently and still get the same answer.
Answer:
Step-by-step explanation:
The null hypothesis is the hypothesis that is assumed to be true. It is an expression that is the opposite of what the researcher predicts.
The alternative hypothesis is what the researcher expects or predicts. It is the statement that is believed to be true if the null hypothesis is rejected.
From the given situation,
news article says that high school students are currently spending an average of 15 hours per week doing homework online. This is the null hypothesis.
H0: µ = 15 hours
You don't think this is an accurate estimate, although you're not sure whether the real value is higher or lower. This is the alternative hypothesis.
Ha : µ ≠ 15 hours
