Given:
μ = 2 min, population mean
σ = 0.5 min, population standard deviation
We want to find P(x>3).
Calculate the z-score
z= (x-μ)/σ = (3-2)/0.5 = 2
From standard tables, obtain
P(x ≤ 3) = P(z ≤ 2) = 0.9772
Therefore
P(x > 3) = P(z > 2) = 1 - 0.9772 = 0.0228
Answer: 0.02275
Answer:
b. about 63.9 units and 41.0 units
Step-by-step explanation:
In question ∠a= 29° and Side of a= 15 and b= 20
Using sine rule of congruence of triangle.
⇒
⇒
Using value of sin 29°
⇒
Cross multiplying both side.
⇒ Sin B=
∴ B= 41°
Now, we have the degree for ∠B= 41°.
Next, lets find the ∠C
∵ we know the sum total of angle of triangle is 180°
∴∠A+∠B+∠C= 180°
⇒
subtracting both side by 70°
∴∠C= 110°
Now, again using the sine rule to find the side of c.
⇒
Using the value of sine and cross multiplying both side.
⇒ C=
∴ Side C= 28.92.
Now, finding perimeter of angle of triangle
Perimeter of triangle= a+b+c
Perimeter of triangle=
∴ Perimeter of triangle= 63.9 units
Answer:
OBAMA
Step-by-step explanation:
Answer:
37+x+53 = 180
x=90
Step-by-step explanation:
To find x, we need to use the fact that a straight line equals 180 degrees.
37+x+53 = 180
Combining like terms
90+x = 180
Subtract 90 from each side
90-90+x = 180-90
x = 90
Answer:
x = 18.5
∠1 = 76°
∠2 = 104°
∠3 = 76°
∠4 = 104°
∠5 = 76°
∠6 = 104°
Step-by-step explanation:
4x + 2 + 6x - 7 = 180
4x + 6x = 180 - 2 + 7
10x = 185
x = 185/10
x = 18.5
∠1 = 76°
∠2 = 104°
∠3 = 76°
∠4 = 104°
∠5 = 76°
∠6 = 104°