791 since it has no decimal places
Both the numerator and denominator are divisible by 4, meaning that when they are both divided by this number they wll be in their simplest form.
e.g. 8/4=2 and 20/4=5
Therefore the simplest form is 2/5
Answer:
Find the value of x in each of the given figures.
Step by step explanation :
a. .. Let the triangle be ABC
we have to find the value of A
so
ATTQ ( According to the question) we have ::
B = 25°
C = 105° + ___ = 180° ( adjacent angles)
C = 75 ° = 180° - 105° ( transfer 105° from LHS to RHS)
The sum of all interior angles of a triangle is 180° .
so, A+B+C = 180°
A+ 25° + 75° = 180°
A+ 100° = 180°
A= 180° - 100°
A = 80°
therefore answer is 80°
b. .. Let the triangle be ABC.
we have to find the value of x
ATTQ , we have
A= 3x+2°
B=2x°
C = 152° + ___ = 180°
C= 180°- 152° = 28°
The sum of all interior angles of triangle is 180°
so, A+B+C = 180°
3x+2° + 2x° + 28° = 180°
first add the variables then numbers
5x° + 30° = 180°
5x° = 180° - 30°
5x ° = 150°
x° = 150° / 5
x = 30°
therefore answer is 30°
...
thank you so much..
Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865