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TEA [102]
2 years ago
14

Translate the graph according to the rule (x, y) → (x + 2, y).

Mathematics
1 answer:
IRISSAK [1]2 years ago
5 0

(x, y) → (x, y + n) - translate the graph n units up

(x, y) → (x, y - n) - translate the graph n units down

(x, y) → (x - n, y) - translate the graph n units left

(x, y) → (x + n, y) - translate the graph n units right

---------------------------------------------------------------------------

(x, y) → (x + 2, y)

translate the graph 2 units right.

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Suppose ACT Reading scores are normally distributed with a mean of 21.4 21.4 and a standard deviation of 5.9 5.9 . A university
Nutka1998 [239]

Answer:

29.2

Step-by-step explanation:

Mean = 21.4

Standard deviation = 5.9%

The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.

The Z- score formula is given as:

z = x - μ /σ

Z score ( z) is determined by checking the z score percentile of the normal distribution

In the question we are told that it is the students who scores are in the top 9%

The top 9% is determined by finding the z score of the 91st percentile on the normal distribution

z score of the 91st percentile = 1.341

Using the formula

z = x - μ /σ

Where

z = z score of the 91st percentile = 1.341

μ = mean = 21.4

σ = Standard deviation = 5.9

1.341= x - 21.4 / 5.9

Cross multiply

1.341 × 5.9 = x - 21.4

7.7526 = x -21.4

x = 7.7526 + 21.4

x = 29.1526

The 91st percentile is at the score of 29.1526.

We were asked in the question to round up to the nearest tenth.

Approximately, = 29.2

Step-by-step explanation:

7 0
3 years ago
In a game, William and Mary take turns choosing cards at random from a bag. Each card shows a “W” or “M”. A player chooses a car
TEA [102]
They are dependent events. Only if W and M put the cards back into the bag would they be independent. 
4 0
2 years ago
caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?
Zarrin [17]

Answer:

= 3 3/5 yards

Step-by-step explanation:

If 1 piece = 3/5 yard

What about 6 pieces = ?

= (6 x 3/5) ÷ 1

= 18/5 ÷ 1

= 18/5

= 3 3/5 yards

5 0
2 years ago
If A and B are independent events, P(A and B) =​
Sergio039 [100]

Answer:

<u>If A and B are independent events, P(A and B) =​ P (A) * P (B)</u>

Step-by-step explanation:

Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.  

Event A : it rains in Seattle

Event B : the Super Bowl match is cancelled in Miami

The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:

<u>P(A and B) =​ P (A) * P (B)</u>

4 0
2 years ago
antwan is looking to get an apartment that cost $650 per month. How much does he need to make per year
vitfil [10]

Answer:

the answer is 7800

Step-by-step explanation:to get the answer you need to multiply 650 times how many months there are in a year which are 12 so 650 times 12 equals 7800 I hope this helped you.

                                                                             

5 0
2 years ago
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