Check the picture below.
A flag stick on a golf course that is 6 1/2 feet tall casts a 9 3/4 foot shadow while a golfer nearby casts a 8 3/4 foot shadow.
1 answer:
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Answer:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t
Step-by-step explanation:
Notation
represent the mean for male king penguins
represent the mean for the female king penguins
represent the sample standard deviation for the sample male
represent the sample standard deviation for the sample female
sample size for the male penguins
sample size for the female penguins
t would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to check if the male king penguins weigh more than female king penguins, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t
Answer: Both students are correct.
Explanation:
In rotation a shape is rotated about a fixed point and it does not affect its measurements. it only changes its position.
Now, When Marcus rotated the about point S then this process did not affect its shape and size this is why he got the
which is congruent to the
.
In reflection, when a shape reflected across a line then its all points get reflected across this line. But it also does not affect the measurement of the shape.
So, when Sam mapped by the reflection of
then the measurement of the
did not change. And, he also got the congruent triangle.
Thus, we can say that, Both Marcus and Sam are right.
Answer:
2.Both boundary lines are solid.
3.A solution to the system is (1, 3)
5.The boundary lines intersect.
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the solid line
The slope of the solid line is 3
The point (1,3) is a solution of inequality A (lie in the shaded area of the solution set)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is -1
The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)
The solution of the system of inequalities is the shaded area between the two solids lines
see the attached figure
<u><em>Verify each statement</em></u>
1.The slope of one boundary line is 2
The statement is False
2.Both boundary lines are solid.
The statement is True
3.A solution to the system is (1, 3)
The statement is True
4.Both inequalities are shaded below the boundary lines
The statement is False
5.The boundary lines intersect.
The statement is True
The intersection point is (0.25,1.75)
see the attached figure
