Answer:
x=17/14
Step-by-step explanation:
(7/9)x+2=(5/6)
18 is the least common multiple between 9 and 6, so we can multiply each fraction by 18.
7 18 126
---- * ------ = -------- = 14
9 1 9
14x+2=(5/6)
5 18 90
---- * ------ = --------- = 15
6 1 6
14x+2=15
<u> +2 +2</u>
14x=17
x=17/14
Hope this helps!
y=6x/5 -1/5 this the answer i got
Answer:
A
Step-by-step explanation:
Let the smaller room have an area of x^2
Let the larger room have an area of (x + 3)^2
(x+3) ^2 + x^2 = 89 Be careful not to make it 89^2.
x^2 + 6x + 9 + x^2 = 89 Expand the binomial squared
2x^2 + 6x + 9 - 89 = 0 Subtract 89 from both sides
2x^2 + 6x + 9 - 89 = 0 Combine
2x^2 + 6x - 90=0 Divide by 2
x^2 + 3x - 45 = 0 This factors.
(x + 9)(x- 5) = 0
X + 9 gives nothing useful
x - 5 = 0
x = 5
x + 3 = 5+3 = 8
So the answer is A
Answer:
5 cm approx
Step-by-step explanation:
Given data
Diameter= 20cm
radius= 10cm
Volume= 1570cm^3
We know that the expression for the volume of the container/cylinder is
V= πr^2h
1570= 3.142*10^2*h
1570=3.142*100*h
1570=314.2h
h= 1570/314.2
h=4.99 cm
Hence the height is 5 cm approx
Answer:
given : 0.61 per year
formula poisson probability : p(x=k)=xke-x/k!
(a) The parameter λ is the product of the rate per year and the number of years. The number of years is 1 year in this case.
λ=0.61×1=0.61
Evaluate the formula of the Poisson probability at k=0,1:
P(X=0)= 0!
(0.61)
0
e
−0.61
≈0.5434
P(X=1)=
1!
(0.61)
1
e
−0.61
≈0.3314
Add the corresponding probabilities:
P(X≤1)=P(X=0)+P(X=1)=0.5434+0.3114=0.8748
Use the complement rule:
P(X>1)=1−P(X≤1)=1−0.8748=0.1252
Note: The solution in the back of the book is the probability of at least one death instead of more than 1 death, thus the solution in the back of the book is not correct.
Step-by-step explanation:
this is prob wrong so im sorry in advance!