Answer:
The value of x in the given figure is,
Step-by-step explanation:
Complementary angle states that the two angles sum up to 90 degree.
From the given figure
and are complementary angles.
by definition of complementary angles;
Subtract from both sides we get;
Simplify:
therefore, the value of x in the given figure is,
3.5*0.51 = 1.785
4.5*1.19 = 5.355
1.785 + 5.355 = 7.14
Ms Morgan paid $7.14c for the bananas and pineapples.
Answer:
B) 1/8
Step-by-step explanation:
each child born has 50/50 to be a boy or a girl, so, we determine a Bernoulli process where p=0.5, and we need 3 out of 3 successes.
the probability will then be:
(0.5)³=0.125=1/8
The given values are:
p = 22% = 0.22
Zc = 1.645 at 90% confidence level.
margin of error, E = 0.04
The formula we can use here is:
E = sqrt(pq/n) * Zc
0.04 = sqrt(0.22*(1-0.22)/n)*1.645
n = (0.22*(1-0.22))*(1.645/0.04)^2
n = 290.22
hence minimum sample size = 290
The triangle is isosceles so m∠A and m∠C are the same.
So to find ∠B, we do 74 + 74 + b = 180
148 + b = 180
b = 180 - 148
b = 32
Answer B is the right choice.