Answer:
51
Step-by-step explanation:
33+2(5+8)-(6-2)2
openthebracketsFIRST
2(5+8)=26
33+26-(6-2)2
33+18
=51
Answer:
$175
Step-by-step explanation:
Cost to store: $140
Markup: 25%
What is the value of x when g(x) = 28.3
Answer:
Step-by-step explanation:
It’s 5
66
32
29
43
Answer:
The correct answer is x = 32.
Step-by-step explanation:
To solve this problem, we must remember the concept of supplementary angles. Two angles that are supplementary together make an angle of 180 degrees (a straight line).
In this case, we can see that inside the triangle, we will have an angle of 80 degrees. We know this because the angle at the top of the triangle is supplementary with the angle measuring 100 degrees, so its measure should be 180-100 = 80 degrees.
On the lower right hand of the triangle, a similar rationale can be applied. The angle inside of the triangle must measure 68 degrees, since it is supplementary to an angle measuring 112 degrees, and 180-112=68.
Finally, to solve this problem, we must remember that the sum of the three interior angles of a triangle should be 180 degrees. This lets us set up the following equation:
80+68+x = 180
Now, we can solve this equation. Our first step is to simplify the left side of the equation by adding together the constant terms.
148 + x = 180
Next, we should subtract 148 from both sides of the equation.
x = 180-148
x = 32
Therefore, the correct answer is x = 32 degrees.
Hope this helps!
Answer:
Figure out the various probabilities first, that will make the rest of the questions easier:
P(discovered) = .7
P(not discovered) = 1 - .7 = .3
P(locator|discovered) = .6
P(no locator|discovered) = 1 - .6 = .4
P(locator|not discovered) = 1 - .9 = .1
P(no locator|not discovered) = .9
P(discovered and locator) = .7 * .6 = .42
P(discovered and no locator) = .7 * .4 = .28
P(not discovered and locator) = .3 * .1 = .03
P(not discovered and no locator) = .3 * .9 = .27
a) The total probability that an aircraft has a locator is .42 + .03 = .45. So the probability it will not be discovered, given it has a locator, is .03/.45 = .067
b) The total probability that an aircraft does not have a locator is .28 + .27 = .55. So the probability it will be discovered, given it does not have a locator, is .28/.55 = .509
c) Probability that 7 are discovered = C(10,7) * P(discovered|locator)^7 * P(not discovered|locator)^3
We already figured out P(not discovered|locator) = .067, so P(discovered|locator) = 1-.067 = .933. C(10,7) = 10*9*8, so we can compute total probability: 10*9*8 * .933^7 * .067^3 = .133
Step-by-step explanation:
Answer:
0.8333%
Step-by-step explanation:
Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:
There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.
Answer:
−4 1/4 = −4 +1/4
= −4/1+1/4
=(−4/1×4/4)+1/4
=−16/4 + 1/4= −17/4
So, -17 divided by 4 equals
-4.25