Answer:
shown below.
Step-by-step explanation:
v = 150 since 180 - 30
for w we need 2y and x. the base angles of the triangle are 30 and 50 therefore x = 100. 2y = 30 because corresponding angles. ergo, w = 50
x = 100
y = 15
z = 50
Answer:
rational. BRAINLIEST??
Step-by-step explanation:
Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation =
= 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:

Substituting the values, we get:

This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%
The answer will be
f(3)=3(3)+7
=9+7
=16