1/2 / 3 = 1/2 x 1/3 = 1/6
each person will get 1/6 lb of chocolate
Answer: (30m-9n)/270
First we start with m/9-n/30.
We multiply the denominators to get 270.
Then we multiply the numerators by the original denominators to get (30m-9n).
To check, we can use m=2, and n=4
2/9-4/30=4/45
(30*2-9*4)/270=24/270=4/45
Answer:
15 cm
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
Answer:

x + 14 = 5x - 74 (corresponding angles are equal to each other)

Answer:
Step-by-step explanation:
Information given
n=370 represent the sample selected
estimated proportion of readers owned a laptop
is the value that we want to test
z would represent the statistic
represent the p value
Creating the hypothesis
We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is:
(1)
Replacing we got:
Calculating the p value
We have a bilateral test so then the p value would be: