Answer:
35 and 36
Step-by-step explanation:
To solve this problem, we must interpret it line by line;
- We are dealing with consecutive integers; these are integers with a difference of 1 between them.
let the first number = x
second number = x + 1
x
- one - ninth of the second;
(x + 1)
for the "less" ;
x - (x + 1) = 3
Multiply through by 45
45(x) - (45) (x + 1) = 3 x 45
9x - 5(x + 1) = 135
9x - 5x -5 = 135
4x = 135 + 5
4x = 140
x = 35
Now, x+1 = 35 + 1 = 36
The consecutive integers are 35 and 36
A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0. This best describes a graph of paired points that form a proportional relationship. You can tell this because the line passes directly through the origin (0,0). It also says that it is a straight line that passes through the points, so most likely the line will contain points that have a proportional relationship. Hope that helps :)
slope intercept form: y=mx+b
y=3x+4
slope is also m
b is the y-intercept
answer:
slope is 3
y-intercept is 4
Answer:
If an item is x dollars and 20% discount is applied, the new price will be: 0.8x
Step-by-step explanation:
100 - 20%(20) = 80
80 = 80% or 0.8
So, the remaining of the price of x will be 0.8x.
We reject our null hypothesis, H₀, at a level of significance of =0.01 since the P-value is less than that threshold. There is compelling statistical data to indicate that since 1991, the proportion of drivers who love driving has decreased.
Given,
The Pew Research Center recently polled n=1048 U.S. drivers and found that 69% enjoyed driving their automobiles.
In 1991, a Gallup poll reported this percentage to be 79%. using the data from this poll, test the claim that the percentage of drivers who enjoy driving their cars has declined since 1991.
To report the large-sample z statistic and its p-value,
Null hypothesis,
H₀ : p = 0.79
Alternative hypothesis,
Ha : p < 0.79
Level of significance, α = 0.01
Under H₀
Test statistic,
Z₀ = -7.948
The alternative hypothesis(Ha) is left-tailed, so the P-value of the test is given by
P-value = P(z <-7.945)
= 0.000 (from z-table)
Since the P-value is smaller than given level of significance, α=0.01 we reject our null hypothesis, H₀, at α=0.0.1 level Strong statistical evidence to conclude that the percentage of drivers who enjoy driving their cars has declined since 1991.
To learn more about hypothesis click here:
brainly.com/question/17173491
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