Answer:
b=29.74
Step-by-step explanation:
tan b=opposite/adjacent
tan b= 4/7
b=29.74
The value of x is 4. So 40000 mg= 40 g.
Step-by-step explanation:
The given is 40000mg = 10x g
Step:1
Take given equation as equation (1)
40000 mg= 10x g.................(1)
where, X is known value.
Step:2
Standard value for mg to g for the purpose of conversion of units,
1 milligram = 0.001 gram (or)
1 gram = 1000 milligram
Step:3
From the standard data values,
= 40000 mg
it converted mg to g by dividing 1000
= 
g
= 40 g.......................(2)
Step:4
From the Equations (1) and (2),
40=10x
x=4
Result:
The value of x is 4. So, 40000mg = 40 g.
Answer:
Y=2
Step-by-step explanation:
For both sides to be equal, you have to have 2/5 on both sides.
These two angles are corresponding angles,
so they are congruent.
12x - 4 = 10x + 10
2x = 14
x=7
Answer:
The estimate of a population proportion is approximately 541.
Step-by-step explanation:
We can solve the the problem by using the formula for minimum sample needed for interval estimate of a population proportion which is given by the formula
n = pq ((Z/2) / E)^2
As, p is not defined so we use the standard p and q which is 0.5 and 0.5.
The reason for this is we have to choose form 0.1 to 0.9 both values of p and q, we will find the maximum value of pq occurs when they both are 0.5.
Next, we will find the value of (Z/2) by looking at the Z-table, we will find that at 98% confidence (Z/2) = 2.326. Now we start substituting the values in the above formula
n = (0.5)×(0.5) × (2.326/0.05)^2
n = 541.027
n ≅ 541.
