Answer:
There is evidence for the claim that less than 10% of the test results are wrong
Step-by-step explanation:
Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.
Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)
Sample proportion = ![\frac{27}{300} \\=0.09](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B300%7D%20%5C%5C%3D0.09)
H0: p = 0.10
Ha: p <0.10
(left tailed test)
p difference = 0.09-0.10 = -0.01
Std error = ![\sqrt{0.1*0.9/300} \\=0.005196](https://tex.z-dn.net/?f=%5Csqrt%7B0.1%2A0.9%2F300%7D%20%5C%5C%3D0.005196)
z statistic = -1.9245
p value = 0.027
Since p <0.05 we reject H0
There is evidence for the claim that less than 10% of the test results are wrong
Answer:
Reciprocal of 5/18 is 18/5.
5/18 x 18/5 = 90/90
= 1
4x-sum to
The value of 7
Equals3
Answer:
£59.25
Step-by-step explanation:
17²-8²=225
√225=15
1/2(12+20)×15=240m²
240÷100=2.4
3×19.75=£59.25
Answer:
1. SSS
2. Q and S
3. 20
Step-by-step explanation:
1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
Triangles NLM and WUV are similar by SSS similarity, because
![\dfrac{NL}{WU}=\dfrac{36}{63}=\dfrac{4}{7}\\ \\\dfrac{LM}{UV}=\dfrac{40}{70}=\dfrac{4}{7}\\ \\\dfrac{NM}{WV}=\dfrac{24}{42}=\dfrac{4}{7}](https://tex.z-dn.net/?f=%5Cdfrac%7BNL%7D%7BWU%7D%3D%5Cdfrac%7B36%7D%7B63%7D%3D%5Cdfrac%7B4%7D%7B7%7D%5C%5C%20%5C%5C%5Cdfrac%7BLM%7D%7BUV%7D%3D%5Cdfrac%7B40%7D%7B70%7D%3D%5Cdfrac%7B4%7D%7B7%7D%5C%5C%20%5C%5C%5Cdfrac%7BNM%7D%7BWV%7D%3D%5Cdfrac%7B24%7D%7B42%7D%3D%5Cdfrac%7B4%7D%7B7%7D)
2. Completed steps:
a) draw a circle with center at P and radius r
b) draw a circle with center at Q and radius r
c) using compass, measure the distance between two points of intersection of the first circle with angle rays
d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S
Last step: connect points Q and S, line QS will be parallel to line r.
3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.
AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
By AA similarity, triangles VMN and VUT are similar, thus
![\dfrac{VM}{VU}=\dfrac{VN}{VT}\\ \\\dfrac{VM}{VM+8}=\dfrac{49-14}{49}\\ \\49VM=35(VM+8)\\ \\49VM=35VM+280\\ \\49VM-35VM=280\\ \\14VM=280\\ \\VM=20\ units](https://tex.z-dn.net/?f=%5Cdfrac%7BVM%7D%7BVU%7D%3D%5Cdfrac%7BVN%7D%7BVT%7D%5C%5C%20%5C%5C%5Cdfrac%7BVM%7D%7BVM%2B8%7D%3D%5Cdfrac%7B49-14%7D%7B49%7D%5C%5C%20%5C%5C49VM%3D35%28VM%2B8%29%5C%5C%20%5C%5C49VM%3D35VM%2B280%5C%5C%20%5C%5C49VM-35VM%3D280%5C%5C%20%5C%5C14VM%3D280%5C%5C%20%5C%5CVM%3D20%5C%20units)