Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.
The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.
Hypergeometric distribution:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- 1000 people means that
- 130 can wiggle their ears, thus
- Two are selected, thus
.
The probability that neither can wiggle his or her ears is P(X = 0), thus:
0.7568 = 75.68% probability that neither can wiggle his or her ears.
A similar problem is given at brainly.com/question/24826394
Tenemos que
R------------ > recorrido total
x---------------- > viaje en tren--------------- > (1/2)*R
y----------------- > viaje en bicicleta-------------(1/2)*(1/3)*R=(1/6)*R
z------------------- > viaje en automovil --------- > (1/2)*(2/3)*R=(2/6)*R=100 km
R=x+y+z
resolviendo nos queda que
(2/6)*R=100--------------- > R=100*6/2=300 km
viaje en tren----------- > (1/2)*R=300/2=150 km
viaje en bicicleta------- > (1/6)*R=300/6=50 km
( estos dos ultimos calculos no lo estan pidiendo y no hacen falta para contestar la pregunta, simplemente se realizan a manera didactica)
La respuesta es
La distancia entre las dos ciudades es de 300 km
Answer: $12000 was invested at 7% while $8000 was invested at 9%.
Step-by-step explanation:
Based on the information given in the question, let the amount that was invested at 7% be n.
Therefore,
0.07n + 0.09(20000 - n) = 1560
0.07n + 1800 - 0.09n = 1560
-0.02n = 1560 - 1800
-0.02n = -240
n = 240/0.02
n = 120
Therefore, $12000 was invested at 7% while $8000 was invested at 9%.
Answer:
Step-by-step explanation:
------------
It's a straight line, so you need 1 additional point.
---
Plot (-4,4)
Slope 1/2 --> y increases 2 for each 1 of x increase.
Add 1 to x, and 2 to y ---> (-3,6)
Your answer will be,
ANSWER: (4b - 5)^2
You're welcome :)
