We are given that the insect can lift 1.182 x 10^3 times
it's own weight. Say that w is weight, so the lift is:
lift = 1.182 x 10^3 * w
Assuming that your body weight is 60 kg, therefore you
can lift:
lift = 1.182 x 10^3 * 60 kg = 70,920 kg
Answer:
HL
Step-by-step explanation:
It's a right triangle.
Answer:
4
Step-by-step explanation:
If the shapes are similar we can use the side length proportion to find the value of x:
7/91 = x/52 cross multiply expressions
91x = 364 divide both sides by 91
x = 4
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%
Its the purple graph that looks like a upside down V because all the values are negative due to the "-" being outside the absolute value symbols.
you can also graph it as y=-|x|