Answer:
∠ C = 58°
Step-by-step explanation:
DB is a perpendicular bisector , so
∠ ADC = 2 × 32° = 64°
Since AD = CD then Δ ACD is isosceles with the base angle congruent , then
∠ C = 
= 
= 58°
Answer:
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Step-by-step explanation:
We know mean u = 38 standard dev. s = 2
We want P ( 37 < x < 41)
so
P( (37 - 38) / 2 < Z) = P(-0.5 < Z)
P( Z < (41 - 38)/2 ) = P( Z < 1.5)
Find P(Z < -0.5) = 0.3085
Find P(Z > 1.5) = 0.0668
so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)
P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668
P(-0.5 < Z < 1.5) = 0.6247
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Answer:
68%
Step-by-step explanation:
Divide the amount she spent this year, by the amount she spent last year, in this case, 393 divided by 572 =0.68706293706, but we need to make it into hundredths, so it is 0.68, or 68%.
Answer: -3x + 4, (2,-2)
Step-by-step explanation:
First, you want to get y alone on one side.
3x + y = 4
-4 -4 subtract 4 to get it on the left side.
-y -y subtract y to get it alone on the right side.
Your'e left with 3x - 4 = -y divide the whole equation by -1 do get a pos y
You then have y = -3x + 4. That's the first part of your answer.
To get the second part plug in (-3x + 4) into the y of the first equation, this is the substitution part.
-2x + 5(-3x+4) =-14 distribute the 5... -2x - 15x +20 = -14
add your like terms ( x and x) -17x + 20 = -14
Isolate your x by subtracting the 20, both sides -20 -20
-17x = -34 divide both side by 17 you get x = 2 (---- this is your first coordinate in the pair in your answer. To get the y do the same but solve for y instead of x.
Answer:
200
Step-by-step explanation:
