Answer:
5/6
Step-by-step explanation:
On a standard 6-sided die, there is only one 2. That means that there are 5 other numbers that it could land on (1, 3, 4, 5, 6).
Using that information, the probability of it not landing on a 2 is 5 out of 6 or 5/6. This is because you must do part over whole. The "part" in this situation is the 5 "wanted" numbers, and the "whole" is 6 because there are six potential numbers that it could land on.
I hope this helps.
Answer:
3 ft.
Step-by-step explanation:
When you imagine the sentence, it is a right angled triangle. In this case, it's a Pythagoras Theorem. The formula for it is:
a²(opposite) + b²(adjacent) = c²(hypotenuse)
The building is the opposite, the distance between the foot of the ladder and the building is the adjacent, while the ladder is the hypotenuse.
We have the measurements except for the adjacent. So it will be:
c² - a² = b²
5² - 4² = b²
25 - 16 = b²
9 = b²
√9 = b
b = 3 ft
The answer is 3 ft.
Answer:
Correct statements:
Step-by-step explanation:
A line that rises from left to right has a positive slope.
A line that falls from right to left has a negative slope.
A horizontal line has no slope. (slope of 0)
Answer:
A) h(x)=9x-13
Step-by-step explanation:
f(x) = 2x - 1
g(x) = 7x -12
Add them together
f(x) = 2x - 1
g(x) = 7x -12
-------------------------
f(x)+g(x) = 9x-13
h(x) = 9x-13
Answer:
- 278.4°F
Step-by-step explanation:
Temperature of Object ( T ) = 1200° F
Temperature of surrounding ( M ) = 80°F
Time ( t ) = 1 hour
dT / dt ∝ ( M - T )
dT /dt ∝ | ( 80 - 1200 ) |
dT / dt = k ( 1120 )
(1200 - 830 ) / 1 = k ( 1120 )
hence k = ( 1200 - 830 ) / 1120
= 370 / 1120 = 0.33
<u>what is the object's temperature (x )after 4 hours </u>
( 1200 - x ) / 4 = 0.33 ( 1120 )
( 1200 - x ) / 4 = 369.6
hence x = 1200 - ( 4 * 369.6 )
= - 278.4 ° F
