Answer:1.x= 3.66666 or 11/3
2.y=4
3.a=1
Step-by-step explanation:
1. 23 = 6x + 1
-1. -1
22=6x
÷6 ÷6
x=3.66666 or 11/3
2. 5.7 + 0.3y = 6.9
-5.7. -5.7
0.3y=1.2
÷0.3. ÷0.3
y=4
2. -3a + 7 = 9a - 5
+3a. +3a
7=12a-5
+5. +5
12=12a
÷12 ÷12
a=1
This problem is a combination of the Poisson distribution and binomial distribution.
First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961
For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181
Answer:
I think it is D but im not sure if you said 10 days or something else
Answer:
Length = 2 feet
Width = 6 feet
Step-by-step explanation:
Let the length of a flower garden = l feet
And the width of the garden = w feet
Perimeter of the rectangular garden = 2(l + w)
16 = 2(l + w)
l + w = 8
l = 8 - w ---------(1)
Area of the rectangular garden = lw
12 = lw ---------(2)
By substituting the value of length in equation (2)
12 = (8 - w)w
12 = 8w - w²
w² - 8w + 12 = 0
w² - 6w - 2w + 12 = 0
w(w - 6) + 2(w - 6) = 0
(w + 2)(w - 6) = 0
w = -2, 6 feet
Since, width of the garden can't be negative.
Therefore, Width of the garden = 6 feet
From equation (1)
l = 2 feet
Therefore, length of the garden is 2 feet and width is 6 feet.
Answer:
Yes it is absolutely right.
