Answer:
x = ⅘
Step-by-step explanation:
For clarity, exponents should be marked with a ^. 25x² can be written as 25x^2.
25x² = 16
divide both sides by the 25
x² = 16/25
take the square root of both sides
x = √(16/25) = √16/√25 = 4/5
Answer:
The probability that the sample proportion is between 0.35 and 0.5 is 0.7895
Step-by-step explanation:
To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.
z-score of the sample proportion is calculated as
z= where
- p(s) is the sample proportion of first time customers
- p is the proportion of first time customers based on historical data
For the sample proportion 0.35:
z(0.35)= ≈ -1.035
For the sample proportion 0.5:
z(0.5)= ≈ 1.553
The probabilities for z of being smaller than these z-scores are:
P(z<z(0.35))= 0.1503
P(z<z(0.5))= 0.9398
Then the probability that the sample proportion is between 0.35 and 0.5 is
P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895
Answer:
Domain → 0 < x < 5
Step-by-step explanation:
Sasha sells T-shirts and earns a fixed amount plus a commission by selling each shirt. (As given in the table)
Table attached shows a linear function (A regular increase in total pay with the increase in number of shirts sold)
So the input values of the table (Number of shirts sold) will represent the domain of the linear function.
Hence, reasonable domain for the function will be → 0 < x < 5
You might want to stick to at most five questions at once, makes it easier for the rest of us. :)
17. T has a vertical line of symmetry (along the center line).
18. Z looks the same if you turn it halfway around.
19. The passes total to 150°, which is a little less than 180°, so I estimate it would be in front of Kai.
20. Left is the -x direction. Up is the +y direction. this is (x-6, y+4)
21. Every dilation has a center (where it's dilated from) and a scale factor (how much it's dilated).
22. It must be A, because it's the only one where the number of moves adds up to 16.
23. It can be determined to be B just by tracking where point C would end up through the transformation.
24. A 180° rotation flips the signs on both components to give you (-1, 6).
25. Right is the +x direction. Down is the -y direction. (x+3, y-5)
26. This is a reflection.
Need clarification on anything?