Solution :
Given data :
The mean length of the steel rod = 29 centimeter (cm)
The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)
a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).
Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)
= P(z < -1.42)
= 0.0778
b). Any rods which is shorter than
cm or longer than
cm that re discarded.
Therefore,
P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)
= 1.052
Answer:
La planta de la que ha salido el ascensor es: -1(planta del sótano)
Datos:
Subió 8 pisos
Piso final= 7
Explicación:
Para resolver el enunciado, se debe tener en cuenta que:
Piso final - Piso inicial= 8
Reemplazando y despejando:
7-Piso inicial= 8
Piso inicial= 7-8
Piso inicial= -1
Por lo tanto, ha salido de la planta del sótano
Verificando:
Piso inicial +8= piso final
-1+8= Piso final
7= piso final
Profundiza en matemáticas en brainly.lat/tarea/10834640
Step-by-step explanation:
I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer
Answer:
CD ≈ 15.0
Step-by-step explanation:
calculate CD using the distance formula
d = 
with (x₁, y₁ ) = C (7, - 4) and (x₂, y₂ ) = D (- 8, - 5)
CD = 
= 
= 
= 
= 
≈ 15.0 ( to the nearest tenth )
Answer:
20%
Step-by-step explanation:
12=p×60/100=6p/10
p=120/6=20%