Answer:
X is 50
Step-by-step explanation:
The third angle measures 50° and all sides have different lengths.
<h3>What is a
triangle?</h3>
A triangle is a polygon with three sides and three angles. Types of triangles are<em> isosceles, equilateral, scalene and right angled.</em>
The sum of angles in a triangle is 180 degrees.
A triangle with angle measures of 100° and 30°, let x represent the third angle, hence:
x + 100 + 30 = 180° (sum of angles in a triangle)
x = 50°
Also, all sides have different lengths since all the angles are different.
Find out more on triangle at: brainly.com/question/2644832
Answer:
252 children and 395 adults
Step-by-step explanation:
Make a linear system of equations, where x represents the number of children and y represents the number of adults
x+y=648
1.50x+2.25y=1269
solve using substitution, so y=648-x,
then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,
solve for x and you will get x equals the 252
then substitute this into the first equation, so you get 252+y=648
solve and you will get y=395
Answer:
<u>Alternative Hypothesis:H₁:</u><em> μ ≠ 0.41</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the newscast reaches 41% of the viewing audience in the area
The mean of the Population = 0.41
Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station
Given that the mean of the sample = 0.36
<u><em>Step(ii):-</em></u>
<u><em>Null hypothesis:</em></u><em> The sample statistic does not differ significantly from the hypothetical parameter value.</em>
<em>Given data </em>
<em>Null hypothesis: H₀ : μ = 0.41</em>
<u>Alternative Hypothesis:</u><em> Any hypothesis which is complementary to the Null hypothesis</em>
<u>Alternative Hypothesis:H₁:</u><em> μ ≠ 0.41</em>
<em> </em>
Answer:
a positive correlation is when both variables move in the same direction. a negative correlation is when the variables move in opposite directions. no correlation is when the variables are not statistically related
Step-by-step explanation:
negative correlation example: As you climb the mountain (increase in height) it gets colder (decrease in temperature).
zero correlation example: the amount of apple juice drunk and level of intelligence
btw you have a good example of positive correlation :) it can also be when both variables decrease
