Answer:
H0: sigma=12
H1:sigma≠12
This hypothesis test is a two tailed test.
Step-by-step explanation:
The null value described in the statement is 12 mg. So, the null hypothesis would be sigma=12. As the statement states that whether there is sufficient evidence to conclude that standard deviation differs from 12 mg, so the alternative hypothesis would be sigma ≠12. The alternative hypothesis contains inequality sign so, the hypothesis test is a two tailed test.
Given the equation of a line of the form: y = mx + c, where m is the slope and c is the y-intercept.
y is the dependent variable while x is the independent variable.
The value c represents the initial value of the situation represented by the line. i.e. the value of the dependent variable (y) when the independent variable (x) is 0.
The value m is the slope and represents the amount with hich the dependent variable increases for each additional increase in the value of the independent variable.
Thus, given the equation: <span>y=11.984x+15.341,
where: y represents the total number of shorts sold each day, and x represents the day’s high temperature in °F.
The slope is 11.984 or approximately 12 and it represents the increase in the number of shorts sold for each additional increase in temperature.
Therefore, </span><span>the slope of the equation represents in context of the situation that '</span><span>The vendors will sell an additional 12 pairs of shorts for every 1° increase in temperature.' (option B)</span>
Answer: He is paid $90 last weekend.
Step-by-step explanation:
Since we have given that
Amount he earns per hour = $6
If he works on Saturday, he is paid time and a quarter .
Amount would be

If he works on Sunday, he is paid time and a half.
Amount would be

Number of hours he worked on Saturday = 6 hours
Number of hours he worked on Sunday = 5 hours
So, Total amount he is paid last weekend altogether is given by

Hence, he is paid $90 last weekend.
Answer:

Step-by-step explanation:
Given: In ΔGHI,
=90°, IG = 6.8 feet, and HI = 2.6 feet
To find: 
Solution:
Trigonometry defines relationship between the sides and angles of the triangle.
For any angle
,
= side opposite to
/side adjacent to 
In ΔGHI,

Put 
So,

Therefore, 