Answer:
Step-by-step explanation:
Twice the sum of a number of 11 is -38
2( number +11) = -38
number +11 = -38/2
number = -19 -11
number = - 30
-16.9x + 16 is the correct answer
Step-by-step explanation
The answers in bold is what was required from the question.
the null hypothesis using symbol:-
H₀ : μ = 11.80
the alternative hypothesis using symbol:-
H₁: μ ≠ 11.80
This is a one tailed test. Given what you know, you will evaluate this hypothesis using a t test statistic.
Alpha level = 0.05
Sample size = n
Degree of freedom = n-1 = 40-1 = 39
To use the t distribution we will have to find the critical value from the t table this value is 1.685
But the question does not have sample mean and sample standard deviation. So I was unable to solve for the standard error
Answer:
<em>$1.50</em>
Step-by-step explanation:
Given the total weekly pay of Hector modeled by the equation;
y = 10(8.5 + x)
We are to find the amount of Hector's raise per hour x given the total oay y = $100
Substitute y = 100 into the equation and find x as shown;
y = 10(8.5 + x)
100 = 10(8.5+x)
100/10 = 8.5 + x
10 = 8.5 + x
x = 10 - 8.5
<em>x = 1.5</em>
<em>Hence the amount of Hector's raise per hour is $1.50</em>
Answer:
![y=20\degree](https://tex.z-dn.net/?f=y%3D20%5Cdegree)
Step-by-step explanation:
The given triangle is isosceles. Therefore the base angles are equal.
This implies that,
.
To find
we add the interior add angles and equate to
.
This implies,
![(3y+70)\degree +25\degree +5x\degree =180\degree](https://tex.z-dn.net/?f=%283y%2B70%29%5Cdegree%20%2B25%5Cdegree%20%2B5x%5Cdegree%20%3D180%5Cdegree)
We substitute to obtain,
![\Rightarrow (3y+70)\degree +25\degree +25\degree =180\degree](https://tex.z-dn.net/?f=%5CRightarrow%20%283y%2B70%29%5Cdegree%20%2B25%5Cdegree%20%2B25%5Cdegree%20%3D180%5Cdegree)
We evaluate to obtain,
![\Rightarrow 3y+120\degree =180\degree](https://tex.z-dn.net/?f=%5CRightarrow%203y%2B120%5Cdegree%20%3D180%5Cdegree)
![\Rightarrow 3y=180\degree-120\degree](https://tex.z-dn.net/?f=%5CRightarrow%203y%3D180%5Cdegree-120%5Cdegree%20)
![\Rightarrow 3y=60\degree](https://tex.z-dn.net/?f=%5CRightarrow%203y%3D60%5Cdegree)
We divide through by 3 to get.
![\Rightarrow y=20\degree](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D20%5Cdegree)