Answer:
35 : w = 1 : 2
obviously w = 70
Step-by-step explanation:
Hopefully this helps you :)
Have a nice day.
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Answer:
probability that both passes a defective item is 0.8742
<h3>
Step-by-step explanation:</h3>
probability that the first inspector misses is Pr( 1st misses)= 0.06
therefore the probability he does not miss is
Pr(1st passes)= 1 - Pr( 1st misses) = 1 - 0.06 = 0.94
probability that the second misses is Pr( 2nd misses) = 0.07
therefore probability that 2nd does not miss is
Pr( 2nd passes) = 1- Pr( 2nd misses) = 0.93
probability that both passes a defective item is Pr(1st passes)*Pr( 2nd passes)
= 0.93*0.94 = 0.8742
Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
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Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.
12
Remember to use PEMDAS when solving these problems. You multiply before you work with addition and subtraction.
Answer:
b, c, a
Step-by-step explanation:
In a triangle, the largest angle is opposite the longest side. The smallest angle is opposite the shortest side.
This triangle has 2 given angles, 50° and 60°.
We can find the measure of the third angle, x.
50 + 60 + x = 180
x + 110 = 180
x = 70
The three angles have measures 50°, 60°, and 70°.
The shortest side is opposite the smallest angle. That is side a.
The longest side is opposite the largest angle. That is side b.
The order from longest to shortest is
b, c, a