Sketch the graph of y= (x - 2)2 - 16, then select the graph that corresponds
1 answer:
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If you want to translate a point (x,y) to the left, you have to subtract the number of units (n) that you want to translate it from the original x coordinate, like this:
(x-u,y)
And if you want to translate a point (x,y) downwards, just subtract the number of units n you want to translate from the y coordinate, like this:
(x,y-n)
in this case, we have the point (-5,0) which image would be:
After a translation of 2 to the left
and with 1 unit down, this point would look like this:
(-5-2,0-1)=(-7,-1)
Answer:
P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated
Step-by-step explanation:
Given the data in the question;
To test whether population proportion p is overstated;
Null hypothesis H₀ : p = (75%) = 0.75
Alternative hypothesis H₁ : = < (75%) < 0.75
now, sample proportion p" = 64 / 100 = 0.64
from the dot plot below, we will determine the p-value for test { P(p" < 0.64)}
so, the number of times p"<0.64 in 150 simulations is 5
Hence; P(p" < 0.64 ) = 5 / 150 = 0.0333
P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated
