a model for a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the m
1 answer:
Answer:
Ratio [Model : Actual] = 1:16
Step-by-step explanation:
Given:
Height of model = inches = 5/2 inches = 2.5 inches
Height of actual status = feet = 10 / 3 feet
Find:
Ratio [Model : Actual]
Computation:
Height of actual status = feet = 10 / 3 feet
Height of actual status = [10 / 3] x 12
Height of actual status = 40 inches
Ratio [Model : Actual] = 2.5 / 40
Ratio [Model : Actual] = 1:16
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Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a + bx + c = 0, where a
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = - 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are and
=
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
=
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Answer:
There were total 4 samples collected and each sample had a sample size of n = 100.
Step-by-step explanation:
We are given the following information in the question:
Collection of samples:
Hence, there were total 4 samples collected and each sample had a sample size of n = 100.