Answer:
n=-1, 1
Step-by-step explanation:
-4|8n|=-32
Divide each side by -4
-4|8n|/-4=-32/-4
|8n|=8
When we have absolute values, we need to make two equations, one positive and one negative
8n=8 8n=-8
Divide each side by 8
8n/8 = 8/8 8n/8 = -8/8
n=1 n=-1
Answer:
a) H0 : P = 0.07
Ha : P ≠ 0.07
b) p -value = 0.1770
Step-by-step explanation:
P = 7% = 0.07
x (result ) = 7 , n = 163
p = x / n = 7 / 163 = 0.043
<u>a) Using a significance level ( ∝ ) of 0.05, estimate the appropriate hypothesis</u>
H0 : P = 0.07
Ha : P ≠ 0.07
conduct a Z- test statistic
Z = ( p - P ) / 
= ( 0.043 - 0.07 ) / = - 1.35
Critical value ( Z₀.₀₂₅ ) = ± 1.96
<em>we fail to reject H0 given that | z | < Zcritical because there is not enough evidence to conclude that proportion change</em>
<u>b) Determine the p-value of the test </u>
P-value = P ( | Z | > Z )
= 2 * P ( Z < -1.35 )
= 0.1770
The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above )
64 is able to be divided by 2 and 16
hope that helps
Answer:
Step-by-step explanation:
(0.3)^4(3/10)^4 = 3^4 /10^4 = 81/10000 = 0.00081
Answer:
A. Yes they do. Both equations have their opposing set of y-intercept. Where equation one has a y-intercept of +7, and equation two, +7.
B. No they do not. Equation one has a slope of +3, while equation 2 has a slope of -4.
C. Yes they do. Equation one represents that of a positive increasing graph, while equation two the opposite, decreasing.
Step-by-step explanation:
You can use the slope formula to identify and graph each equation simply by using y = mx + b. Where y is the the y coordinate, x is the x coordinate, m is the slope, and b is the y-intercept. With this you can start plotting by marking the y-intercept by putting the x as zero and seeing what number you get. In this case, 3x0-7 = -7. Meaning that would be the y-intercept. For the slope, depending on what the x coordinate is, that's how much the graph will increase or decrease whenever the x coordinate changes. Say the x coordinate is 1, so 3x1-7 = 3-7 = -4. Meaning your coordinate would be (1, -4) where you can keep doing this formula on and on to find the y coordinate for what x coordinate you want to find, or make it easier to graph with a ruler on paper once you have enough points.
