Answer:
you<u> accept </u>the alternative hypothesis
Step-by-step explanation:
The null and alternative hypothesis can be computed as follows:
The sample proportion 
The test statistics can be computed as:
Z = -2.5
The P-value = 2( Z< -2.5)
From the tables;
The P-value = 2 (0.0062)
The P-value = 0.0124
The significance level = 0.01
Since the P-value is > significance level; we fail to reject the null hypothesis.
Conclusion: we accept the alternative hypothesis
The answer is D. hope this helped :)
We could use the formula, derive the formula, or just work it out for this case. Let's do the latter.
The distance of a point to a line is the length of the perpendicular from the line to the point.
So we need the perpendicular to 5x-4y=10 through (-1,3). To get the perpendicular family we swap x and y coefficients, negating one. We get the constant straightforwardly from the point we're going through:
4x + 5y = 4(-1)+5(3) = 11
Those lines meet at the foot of the perpendicular, which is what we're after.
4x + 5y = 11
5 x - 4y = 10
We eliminate y by multiplying the first by four, the second by five and adding.
16x + 20y = 44
25x - 20y = 50
41x = 94
x = 94/41
y = (11 - 4x)/5 = 15/41
We want the distance from (-1,3) to (94/41,15/41)
Answer: 122°
Step-by-step explanation:
When an angle is supplementary to each other , it means the angle measures to 180°.
Now since one of the two angles is 58°, therefore, the other angle will be
180° - 58°
= 122°
The answer is metres (m).
1 mm = 0.1 cm
<span>7,018 mm = 7,018 * 0.1 cm = 701.8 cm
1 mm = 0.01 dm
</span>7,018 mm = 7,018 * 0.01 dm = 70.18 dm
1 mm = 0.001 m
7,018 mm = 7,018 * 0.001 cm = 7.018 m
