The distance of plane from the origin is 357.14 miles
<u>Explanation:</u>
Given:
distance traveled southwards, y = 600 miles
Distance traveled east of south, z = 250 miles
Angle, θ = 35°
Distance of plane from the origin, x = ?
The figure is attached for reference:
tan θ = Perpendicular / base
tan θ = distance travelled east of south / x
tan 35° = 250 / x
we know,
tan 35° = 0.7
So,
Therefore, the distance of plane from the origin is 357.14 miles
Answer:
The proportion of exam scores that are lower than Irina's score is 0.9938
Step-by-step explanation:
<u>Data</u>
z-score is computed as follows:
z = (x - mean)/sd
z = (95 - 80)/6 = 2.5
We want to find:
P(z < 2.5)
From the table attached:
P(z < 2.5) = 0.9938
Answer:
Step-by-step explanation:
If we assume that the boys and girls are equally likely, so the probability of having a girl is equal to probability of having a boy = .
Let B = Event of having a boy.
G= Event of having a girl.
Since both events are independent of each other . (Events that do not depends on each other.)
So irrespective of the four baby boy , the probability that the fifth child is a boy =
Therefore , the probability of a couple having a baby boy when their fifth child is born, given that the first four children were all boys=
Given:
A figure of triangles.
To find:
Whether the triangles SPT and triangle QPR are similar.
Solution:
In triangle SPT and triangle QPR,
(Given)
(Common angle)
In triangles SPT and triangle QPR, two corresponding angles are congruent. So, by AA property of similarity both triangles are similar.
Therefore, yes, the triangle SPT and triangle QPR similar. Option A is correct.