Answer:
b)
Step-by-step explanation:
we can get it by Pythagoras theorem
9^2+7^2=x^2
81+49=130
x=√130
Answer:
6.420
Step-by-step explanation:
The last decimal digit place value in 0.036 is thousandths. Put them together. So, 0.036 in words would be “thirty-six thousandths.” If there is a whole number portion of the decimal number, we use “and,” “decimal,” or “point” to signify the decimal point.
Answer:
Length of rotated segment = 94 cm
Step-by-step explanation:
Rotation is transformation of a figure or a segment about a center which rotates the figure or segment about the center with the angle of rotation.
Rotation is that type of transformation in which the image and pre-image are congruent. This means that rotation has no effect on shape and size of figure or segment and thus, the shape and size of the figure or segment remains same after rotation.
It is given that a segment of length 94 cm is rotated
degrees around a center
.
The rotation will have no effect on size of the segment as stated above.
Thus, the segment after rotation will still measure 94 cm.
Answer:
Change the equation to the slope intercept form (y = mx + b)
2y = 6x + 8
Divide equation by 2
y = 3x + 4
Therefore
The line as a y intercept of 4
:
Parallel lines have the same slope;
Find the slope by putting in the equation in the point/intercept form
4x + 4y = 20
4y = -4x + 20
Divide equation by 4, results
y = -1x + 5
:
Now we know the slope (-1) and the y intercept (+4) if the line
y = -1x + 4
or just
y = -x + 4 is "the line"
Step-by-step explanation:
Answer:
b. Hannah is likely to be incorrect because 9 is not contained in the interval.
Step-by-step explanation:
Hello!
Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.
The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.
In this example, the 99%CI resulted [0.4;8.0]hs
Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.
Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9
Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed
H₀: μ₁ - μ₂ ≤ 9
H₁: μ₁ - μ₂ > 9
And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.
I hope this helps!