Answer:
3. 37
4. 59
5. 79
Step-by-step explanation:
All the angles of the triangle add up to 180°
3. 180-(31+112) = 37°
4. (4x-18)+(8x+7)+(5x+4) = 180
17x-7 = 180
17x = 187
x =11
we have found the x now we need to input it to find m∠z
5x+4
=5×11+4
=59°
5. A straight angle is 180° so if the outside angle is 129 the inside one will be 51°
(2x-3)+(x+9)+51 = 180
3x+57 = 180
3x = 123
x = 41
Now we need to find m∠L
2x-3
= 2×41-3
= 79°
Answer:
0.7448
Step-by-step explanation:
P(A1) =0.95
P(A2) =0.98
P(A3) =0.8
We have to find P( all three components function properly)=P(A1∩A2∩A3).
We know that the these three events are independent so,
P( all three components function properly)=P(A1∩A2∩A3)=P(A1)*P(A2)*P(A3)
P( all three components function properly)=P(A1∩A2∩A3)=0.95*0.98*0.80
P( all three components function properly)=P(A1∩A2∩A3)=0.7448
Answer:
Step-by-step explanation:
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
Yeah it’s what they said ^^
Answer:
A. 6
Step-by-step explanation:
f(x) = x² − 12x + 7
To complete the square, we first factor the leading coefficient to make it 1 (which it already is).
Then, we take half the second coefficient, square it, and then add to both sides. So (-12/2)² = (-6)² = 36.
f(x) + 36 = x² − 12x + 36 + 7
Then we factor the perfect square:
f(x) + 36 = (x − 6)² + 7
Then solve for f(x) by subtracting and simplifying:
f(x) = (x − 6)² + 7 − 36
f(x) = (x − 6)² − 29
So the value of a is 6.
