Answer:
35000:19
Step-by-step explanation:
→1400kg/0.76kg
→35000:19
Answer:
Small gift: $2
Large gift: $7
Step-by-step explanation:
Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.
We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.
We can represent this information in an equation as:

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:
From equation (1), we will get:

Upon substituting this value in equation (2), we will get:










Therefore, cost to wrap a large gift is $7.
Upon substituting
in equation
, we will get:




Therefore, cost to wrap a small gift is $2.
Cylinder
Cone
Sphere
I guess
Answer:
The z score for bolt of diameter 18.12 mm is 1.20.
Step-by-step explanation:
Let <em>X</em> = diameter of bolts.
It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.
A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.
The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

The formula to compute the <em>z</em>-score is:

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.
Compute the <em>z</em>-score for this value as follows:

Thus, the z score for bolt of diameter 18.12 mm is 1.20.
Answer:
75% bigger
Step-by-step explanation:
Let the first number be x and the second be y.
So:

And:
-----30% less than x
Substitute
in 




Cross multiply


Collect like terms


Make x the subject


So, the average is:




Rewrite as:

Express as percentage

This means that the average is 75% bigger than the second number