Answer:
8
Step-by-step explanation:
B^2 = C^2 -A^2 89-25 = 64 sqrt(64) is 8
We have that
smaller figure
ha=8.7
ra=1.6
larger figure
hb=10.44
rb=1.92
ha/hb=8.7/10.44----> 0.83
ra/rb=1.6/1.92-------> 0.83
ratio smaller figure to the larger figure
1.6/1.92-------> divided by 1.6 both members[1.6/1.6]/[1.92/1.6]-------> 1/1.2
the ratio ha/hb is equal to the ratio ra/rb
so
the smaller figure and the larger figure are similar
and
the ratio smaller figure to the larger figure is equal to----> 1/1.2
the answer is
the option yes 1/1.2
Answer:
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.
Hope this helps :)
Answer:
P(X ≥ 1) = 0.50
Step-by-step explanation:
Given that:
The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.
Then; the probability of success = 7/34 = 0.20588
Using Binomial distribution to determine the probability; we have:
where;
x = 0,1,2,...n and 0 < β < 1
and x represents the number of successes.
However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:
P(X ≥ 1) = 1 - P(X< 1)
P(X ≥ 1) = 1 - P(X =0)
![P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg]](https://tex.z-dn.net/?f=P%28X%20%5Cge%201%29%20%3D%20%201%20-%20%5Cbigg%20%5B%20%7B%5E3C__0%7D%20%280.21%29%5E0%20%281-0.21%29%5E%7B3-0%7D%20%5Cbigg%5D)
![P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg]](https://tex.z-dn.net/?f=P%28X%20%5Cge%201%29%20%3D%20%201%20-%20%5Cbigg%20%5B%201%20%5Ctimes%201%20%280.79%29%5E%7B3%7D%20%5Cbigg%5D)
P(X ≥ 1) = 1 - 0.50
P(X ≥ 1) = 0.50
Answer:
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Step-by-step explanation:
Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.
Representamos:
Primer número = x
Segundo número = y
Tercer número = z
Se sabe que la suma de tres números es 850.
x + y + z = 850 ...... Ecuación 1
El primero es un tercio del segundo
x = 1/3 años
El tercer número es el doble del segundo.
z = 2 años
Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1
1 / 3y + y + 2y = 850
y / 3 + 3y = 850
Multiplica ambos lados por 3
y + 9y = 850 × 3
10 años = 2550
y = 2550/10
y = 255
Resolviendo para x
x = 1/3 años
x = 1/3 × 255
x = 85
z = 2 años
z = 2 × 255
z = 510
Por eso,
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
