Answer:
Marginal relative frequency for the people who do not like cantaloupe is,
0.455 .
Step-by-step explanation:
The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe or both.
Watermelon Not watermelon Total
Cantaloupe 93 16 109
Not cantaloupe 66 25 91
Total 159 41 200
So, the marginal relative frequency for the people who do not like cantaloupe is,
= 0.455
Answer:
Mass index for a 9-year-old child (at 82nd percentile
) = 22.51
Step-by-step explanation:
Given:
Mass index for a 9-year-old child = 18.4
Standard deviation = 4.5
Find:
Mass index for a 9-year-old child (at 82nd percentile
)
Computation:
At 82nd percentile,
p-value = 0.82
p-value from Z table score = 0.9153
Mass index for a 9-year-old child (at 82nd percentile
) = Mass index for a 9-year-old child + p-value from Z table score(Standard deviation)
Mass index for a 9-year-old child (at 82nd percentile
) = 18.4 + 0.9153(4.5)
Mass index for a 9-year-old child (at 82nd percentile
) = 18.4 + 4.11
Mass index for a 9-year-old child (at 82nd percentile
) = 22.51
-4 > x -7
Move the "-7" to the left hand side which will also change the sign
-4 + 7 > x ( "-4 + 7" is the same as "7 - 4")
3 > x OR x < 3 (3 is greater/bigger than x which also means x is smaller/lesser than 3)
They are both incorrect.
Answer:
The answer is a= 128.95 and b = 14.75
Step-by-step explanation:
Solution
Given
let the equation of the hyperbola be denoted as x2/a2 - y2/b2 = 1 here, we will consider the foci on the x-axis. All units are considered to be in mm.
From question stated, with x and y coordinates represents height and radius respectively,
Then,
When x = 83 + a, y is = 45/2 = 22.5 and
At x = 180 + a, y is = 57/2 = 28.5
It is important to know that, the height is estimated from the focus so we a a is included to the heights.
Thus,
(83+a)2/a2 - 22.52/b2 = 1 and (180+a)2/a2 - 28.52/b2 = 1
By using a calculator we have, a = 128.95 and b = 14.75
Therefore a= 128.95 and b = 14.75
Answer:
<h2>A rotation -90° around point I.</h2><h2>A translation upwards 2 units.</h2><h2>
Step-by-step explanation:</h2>
The given figures are attached.
We have to find two transformations that help to show that both polygon are congruent.
First transformation would be a rotation -90° around point I.
Second transformation would be a translation upwards 2 units.
Applying these transformation, we would have both polygons at the same position, that will show the congruence between them.
