Answer:
Four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .
Step-by-step explanation:
Consecutive numbers are numbers having each number is one more than the previous number. like consecutive number of 2 is 3 .
We have to four consecutive integers whose sum is 114.
Let integers be in the form x , (x+1) , (x+2) , (x+3)
Given : Sum of integers be 114.
thus, x + (x+1) + (x+2) + (x+3) = 114
⇒ 4x +6 = 114
⇒ 4x = 114 -6
⇒ 4x = 108
⇒
⇒ x = 27
Thus, integers are,
x = 27
(x+1) = 27 + 1 = 28
(x+2) = 27 +2 = 29
(x+3) = 27 +3 = 30
Thus, four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .
7.
y + 8x = -2
f(x) = y = -8x - 2
f(0)=-2, f(1)=-10, f(2)=-18, f(-2)=14
8.
12x + 3y = 15
3y = -12x + 15
f(x) = y = -4x + 5
f(-1)=9, f(0)=5, f(1)=1
9.
y - 3x = 9
f(x) = y = 3x + 9
f(-2)=3, f(0)=9, f(2)=15
10.
0.4y + 2x = 1.2
4y + 20x = 12
4y = -20x + 12
f(x) = y = -5x + 3
f(-3) = 18, f(0)=3
Answer:
We will fail to reject the null hypothesis and conclude that there is no sufficient evidence to suggest that more than 10% of the cars from a car manufacture experience engine failures before reaching a mileage of 150,000 miles
Step-by-step explanation:
We are given;
Population proportion; p_o = 10% = 0.1
Sample proportion; p = 9/65 = 0.1385
Z-score formula for this is;
z = (p - p_o)/√(p_o(1 - p_o)/n)
z = (0.1385 - 0.1)/√(0.1(1 - 0.1)/65)
z = 0.0385/0.0372
z = 1.03
From online z-score calculator, we have; p - value = 0.1504
Our p - value is greater than the significance level of 0.1.
Thus,we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to suggest that more than 10% of the cars from a car manufacture experience engine failures before reaching a mileage of 150,000 miles
Answer:
Valid
Step-by-step explanation: