First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.
a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.
b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that 
. According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.
c. We already gave the answer for this question in part b
-43/204
Step-by-step explanation:
−5/12 × 17/17 + 7/34 × 6/6 =
= −85/204 + 42/204
= −85 + 42/204
= −43/204
Answer:
f(x) is continuous on the interval [0, 1], f(0) = <u>-2</u> , and f(1) = <u>1.718</u> . Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Step-by-step explanation:
From the question we are told that
The equation is 
The interval is [0, 1]
Generally f(0) is
=> 
=> 
Generally f(1) is
From the value we see that at x = 0 , f(0) = -2 which is below the x-axis
and the at x = 1 , f(1) = 1.718 which is above the x-axis
Now the according to Intermediate Value Theorem , given the condition stated above, there will exist a root c in the interval such that
f(c) = 0
Answer:
Step-by-step explanation:
sample size ( n ) = 2500 women ( computer and mathematical occupations )
Average earnings of sample ( X )= $75000 / year
standard deviation ( s )= $9500
a) knowing that the average earnings of men are $89,000/year, the null and the alternative hypotheses that the average earnings of women match the average earnings of men in the population.
Given ; Ц = $89000
Null hypothesis ( H0) : Ц = $89000
Alternative hypothesis ( H1 ) : Ц ≠ $89000
The test is : one sample t test hypothesis
b) Test statistic
Test statistic ( t ) =
Answer:
Because you have to get the answer
Step-by-step explanation:
