Answer:
The probability is 0.0069
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD/√(n)
where x = 9.1 , mean = 8.4 , SD = 1.8 and n = 40
Plugging these values into the z-score equation, we have;
z-score = (9.1-8.4)/1.8/√(40) = 0.7/1.8/6.325 = 0.0615
Now, we check the standard normal table for P(z > 2.46) = 0.0069
you have a 58%(rounded) chance against picking a prime number at random
Angle b= 50
Angle c= 130
Complementary angles are two angles that add to equal 90
Supplementary angles are two angles that add to equal 180
To find the measurement of angle b, subtract 40 from 90 (50)
To find the measurement of angle c, subtract 50 from 180 (130)
Answer:
The answer is B
Step-by-step explanation:
Answer: ∠DOB: 48°
Step-by-step explanation:
1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°
2. now we can solve for the missing variable, n.
108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°
3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°
hope this heped! ♡
