Answer:
(x+2)(x+8)
Step-by-step explanation:
1.)find factors of the third expression(16)that will add up to give the second expression(10)
16=2×8. 10=2+8
2.)substitute those factors inplace of 10


3.)factorise using grouping method



Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Answer:
y= x-4
Step-by-step explanation:
Since we have a point, and the slope, we can use the point slope formula

m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.
We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in
y-1=1(x-5)
Solve for y by isolating it
Distribute the 1
y-1=1*x+ 1*-5
y-1=x-5
Add 1 to both sides
y=x-4
Since there are 3 odd numbers ( 1, 3 and 5) and 3 even numbers ( 2, 4 and 6) in the cube ,
The chance of getting an odd number is 50/50 or 50%
So out of 1000 she will probably get 500 odd since 1000 × 0.5 (which is 50%) is 500
75 : 15 = x : 13
15 x = 75 · 13
15 x = 975
x = 975 : 15
x = 65
Answer:
The bass player is 65 inches tall.