Answer:
The probability that no one in a family of five will be hospitalized in a year is 0,2373
Step-by-step explanation:
Let p denote the probability of being hospitalized during a year,
Then p=0.25
And p' the probability of not being hospitalized during a year is 1-p
Thus p' = 1-p = 1-0.25 = 0.75
The probability that no one in a family of five will be hospitalized in a year is equal to
. That is
=
≈ 0,2373
Complete question is attached.
Answer:
B) 8
Step-by-step explanation:
In this question, KLMN ~ PQRS. This means they are similar shapes.
From the image, we could denote that:
KL ~ PQ
LM ~ QR
Given that:
KL = 12
PQ = 30
QR = 20
LM = x
To find x, let's use tge expression:
Cross multiplying, we have:
12 * 20 = 30x
240 = 30x
To find x, let's divide both sides by 30.
8 = x
x = 8
The correct option is option B.
T = 126.
13 = t/9 - 1 multiply both sides by 9
117 = t - 9 move terms
-t = -9 - 117
-t = -126 change the signs
t = 126
Not sure if this is how your teacher wants it, but here is how I would approach it in high school geometry:
To find the area of a rectangle, you need the base and the height.
The radius is 28 mm however the radius only covers half of one circle. Multiply 28 by 2 to get the length of one circle (56) and multiply 56 by 2 to get the length of your base of your rectangle (112).
Now to find the height: the center of the circles creates an equilateral triangle with the side length of 2r or 56 in this case. This means each angle of that triangle is 60 degrees, and when split in half, this creates two triangles both with angles of 30, 60, and 90. The altitude of this triangle is r√3 because of the “special right triangle rule” or 28√3 in this case. This comes to 48.497 mm. To find the remaining length of the height, you can use the radii of the top and bottom circle which add to 56. Add this to the previous number. So...
Height: 104.497
Base: 112
Now multiply the base times height to get:
216.497 mm.
Hope that helps!
The terminal point determined would be 2/3