Answer:
7 units
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, 
. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:
So, the answer is 7 units.
Answer:
(E) None of these above are true.
Step-by-step explanation:
Married = 74% or 0.74
College graduates = 42% or 0.42
pr(married | college graduates) = 0.56
(A) These events are pairwise disjoint. This is false. Pairwise disjoint are also known as mutually exclusive events. Here we can see that both events are occurring at same time.
(B) These events are independent events. This is also false.
(C) These events are both independent and pairwise disjoint. False
(D) A worker is either married or a college graduate always. False
Here Probability(A or B) shall be 1
= Pr(A) + Pr(B) - Pr( A and B) = 0.74 + 0.42 - 0.56 * 0.42 = 0.9248
This is not equal to 1.
(E) None of these above are true. This is true.
The matrices are
S =(4 11 T= ( -8 11
-3 -8) 3 4 )
Inverse of a matrix is a matrix derived from another matrix such that if you pre- multiply it with the original matrix you get a unit matrix.
if we multiply S and T
ST will be
( 4 11 × (-8 11 = ( 1 0
-3 -8) -3 -4) 0 1)
and also TS
( -8 11 × (4 11 = ( 1 0
-3 -4) -3 -8) 0 1)
therefore, matrices S and T are inverses of each other because ST = TS= I
.
La rueda recorre una distancia de 75.420 metros tras 60 vueltas. (Correct choice: A)
<h3>Cuánta distancia recorre una rueda que da 60 vueltas?</h3>
La rueda se desplaza sobre el suelo mediante un tipo de movimiento conocido como rodadura, en la que la rueda experimenta rotación y traslación, cuyo centro instantáneo de rotación es el punto de contacto entre la rueda y el suelo.
Si no existe deslizamiento de la rueda con respecto al suelo, entonces la distancia recorrida tras una revolución de la rueda (s), en metros, es descrita por la siguiente ecuación:
s = 2π · r (1)
Donde r es el radio de la rueda, en metros.
Si tenemos que r = 0.20 m, entonces la distancia recorrida es:
s = 2π · (0.20 m)
s ≈ 1.257 m
Asimismo, la distancia recorrida es directamente proporcional al número de revoluciones de la rueda es y la distancia recorrida tras 60 vueltas es determinada por regla de tres simple:
S = 60 vueltas × (1.257 m / 1 vuelta)
S = 75.420 metros
La rueda recorre una distancia de 75.420 metros tras 60 vueltas.
Para aprender más sobre el movimiento de ruedas: brainly.com/question/2862170
#SPJ1
