9514 1404 393
Answer:
1/7
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
m = (4 -3)/(4 -(-3)) = 1/7
The gradient of the line segment is 1/7.
Greetings!
This can be solved by creating a simple equation.

Solve for x.

Find the LCM.


Add
-5/12 to both sides.

Simplify.

Find the LCM.


He kept 7/12 of the raisins for himself.
Hope this helps.
-Benjamin
Answer:
The probability that an individual has the disease and has a positive test result is:
9.8%.
Step-by-step explanation:
Probability of a true positive result for a test of syphilis = 0.98 or 98%
Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)
Probability of a true negative result for a test of syphilis = 0.9 or 90%
Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)
Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%
A scalene triangle contains three unequal in length sides. Therefore, a right scalene triangle can be constructed without the use of a ruler or compass. The 90-degree angle can be signified by a small box in the corner of the triangle that measures 90 degrees.
Answer:
.8
Step-by-step explanation:
5 red marbles, 2 Green marbles and 3 black marbles = 10 marbles
P (red or black) = number of red or black/ total
= (5+3)/10
=8/10
decimal form = .8