Answer:
x=6
Step-by-step explanation:
The angles are alternate exterior angles, which are equal
19x-4 = 110
Add 4 to each side
19x -4+4 = 110+4
19x = 114
Divide by 19
19x/19 = 114/19
x=6
Complete question :
According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion
Answer:
H0 : μ = 3
H1 : μ ≠ 3
Test statistic = 1.897
Pvalue = 0.0653
fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
Step-by-step explanation:
Given :
Sample size, n = 40
Sample mean, x = 3.6
Population mean, μ = 3
Standard deviation, s = 2
The hypothesis :
H0 : μ = 3
H1 : μ ≠ 3
The test statistic :
(xbar - μ) ÷ (s/√n)
(3.6 - 3) / (2/√40)
0.6 / 0.3162277
Test statistic = 1.897
Using T test, we can obtain the Pvalue from the Test statistic value obtained :
df = n - 1; 40 - 1 = 39
Pvalue(1.897, 39) = 0.0653
Decison region :
If Pvalue ≤ α ; Reject the null, if otherwise fail to reject the Null.
α = 0.05
Pvalue > α ; We fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
Answer:
As 
Step-by-step explanation:
Given:
From the graph, we can conclude that:
The function has vertical asymptotes at 
The function has horizontal asymptote at 
Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.
Now, as 
means the right hand limit of the function at 
From the graph, the right hand limit is the right side of the asymptote of the function at 
. The right side shows that the function is tending towards negative infinity.
Therefore, As
45 + 32 + 37 = 114
114÷3 = 38
4 total quizzes,
for a 40 average on 4 quizzes she needs 40*4 = 160 total points
for 3 quizzes she has 45 +32 +37 = 114 points
160-114 = 46, she needs at least a 46 on the 4th quiz
Answer:
a) ¿Cuál es el sabor favorito de los niños?
Chocolate con 50%
b) ¿Cuál es el sabor que menos les gusta a los niños?
Fresa con 20%
c) ¿Qué número de niños representan el 15%, 35% y 50%?
Tenemos 10 hijos,
Por lo tanto
1) 15% = 1.5
2) 35% = 3.5
3) 50% = = 5
Step-by-step explanation:
Se encuestó a 10 niños sobre su preferencia por el sabor del pastel. Fresa 20%
Chocolate 50%
Vainilla 30%.
a) ¿Cuál es el sabor favorito de los niños?
El sabor favorito de los niños es el sabor con mayor porcentaje = Chocolate con 50%
b) ¿Cuál es el sabor que menos les gusta a los niños?
El sabor que menos les gusta a los niños es el sabor con el menor porcentaje = Fresa con 20%
c) ¿Qué número de niños representan el 15%, 35% y 50%?
Tenemos 10 hijos,
Por lo tanto
1) 15% = 15% × 10 = 1,5
2) 35% = 35% × 10 = 3,5
3) 50% = 50% × 10 = 5
