The <em>correct answer</em> is:
400,000.
Explanation:
The third digit in 399 is 9. To round to this place value, we inspect the digit behind it. If the digit is 5 or greater, we round up; if it is less than 5, we round down.
The digit behind 9 is 7. Since it is greater than 5, we round up. This would ordinarily put the number up 1; however, doing that makes the 9 a 10, which in turn makes the next number 10, and the next number 4. This gives us 400,000.
Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which 
is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
Mean equal to 23.
This means that 
(a) P(X >10)
So
P(X > 10) = 0.6473
(b) P(X >20)
So
P(X > 20) = 0.4190
(c) P(X <30)
So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So
Let x= the number of books purchased: 7 books purchased
let y = the number of toys purchased;10 toys purchased
Equations: x+y=17
6x+11y=152 x+10=17
-6(x+y=17) y=10 -10 -10
------------
-6x-6y=-102 x=7
6x+11y=152
--------------------
0x+5y=50
---- ----
5 5
Answer:
140,620,000
Step-by-step explanation:
There are two types of standard form. The one above (given to you) is the normal standard form. However, there is another one. This one would look like:
140,620,000 = 1.4062 x 10^8
Remember that in this standard form, you must move the decimal to just after the first place value, and the amount of moves you made for the decimal is the amount in the power over 10.
~
Answer:
The answer is: y = 3/8x + 28/8
Step-by-step explanation:
Given point: (4, 5)
Given slope m = 3/8
Uset the point slope form:
y - y1 = m(x - x1)
y - 5 = 3/8(x - 4)
y - 5 = 3/8x - 12/8
y = 3/8x - 12/8 + 5
y = 3/8x - 12/8 + 40/8
y = 3/8x + 28/8
Proof, use point (4, 5):
f(x) = 3/8x + 28/8
f(4) = 3/8(4) + 28/8
= 12/8 + 28/8
=40/8 = 5, giving (4, 5)
