Answer:
{12, 16}
Step-by-step explanation:
The difference of two <em>numbers (x and y)</em> is 4. Thus, if y is the larger, then y - x = 4. Also, y = 2x - 8.
So we need to solve the system of linear equations
y - x = 4
y = 2x - 8
Subbing 2x - 8 for y, in the first equation, we get (2x - 8) - x = 4, or
x - 8 = 4, and conclude that x = 12. Then, because y - x = 4, y must be 16.
The numbers are 12 and 16.
The perimeter when 96 triangles are put together in the pattern shown below will be 98cm
Find the required triangle attached
In the diagram shown, we can see that we have 5 triangles.
The first thing we need to do is add one more triangle to have, six triangles,
Perimeter of the resulting 6 triangles = 6 + 2 = 8cm
For 8 triangles;
Perimter = 8 + 2 = 10cm
For "n" triangles;
Perimeter of n triangles = n + 2
Hence if 96 triangles are put together in the pattern shown below, hence
n = 96
Perimeter of the 96 triangles = 96 + 2
Perimeter of the 96 triangles = 98 cm
Hence the perimeter when 96 triangles are put together in the pattern shown below will be 98cm
Learn more here: brainly.com/question/13362349
Answer:
We get 6 x10^7 with a 4dp of 9599
9599
/ \
29 331
Step-by-step explanation:
Rounded to 4dp
64151584.9599
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Answer:
We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm
Step-by-step explanation:
Sample Information:
Results:
41.8
40.9
42.1
41.2
40.5
41.1
42.6
40.6
From the table we get:
sample mean : x = 41.35
sample standard deviation s = 0.698
Hypothesis Test:
Null Hypothesis H₀ x = 41
Alternative Hypothesis Hₐ x > 41
The test is a one-tail test
If significance level is 0.01 and n = 8 we need to use t-student distribution
From t-table α = 0.01 and degree of freedom df = n - 1 df = 8 - 1
df = 7 t(c) = 2.998
To calculate t(s) = ( x - 41 ) / s/√n
t(s) = ( 41.35 - 41 ) / 0.698/√8
t(s) = 0.35 * 2.83/ 0.698
t(s) = 1.419
Comparing t(s) and t(c)
t(s) < t(c)
t(s) is in the acceptance region we accept H₀
