<span>(4d-4)(3d-2)=12d^2 + []d + 8
Using FOIL method:
4d x 3d = 12d^2
4d x -2 = -8d
-4 x 3d = -12d
-4 x -2 = 8
Adding common terms, we have:
-8d + -12d = -20 d
The missing coefficient is -20.</span>
Answer:
7 ft²
Step-by-step explanation:
The formula for this is given in the problem
Plug in the given values
1/2 * 2 (4+3)
1*7
7 ft²
Let x = total games played
16% = 0.16
0.16x = 40. Divide each number by 0.16.
x = 250
Wendy played 250 games
Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
- The domain of this relationship can be defined as,
0 ≤ x ≤ 60
- The range of this relationship can be defined as,
0 ≤ y ≤ 40
Definition of Domain and Range
The set of all the possible input values for which the provided function is defined is termed as the domain of that function.
The set of all the possible values that a given function can generate as an output is termed as the range of that function.
Forming the Relation
It is given that,
- Jackson wants to purchase 2 shirts and 3 pairs of pants with his gift card
- x represents the cost of the shirts and y represents the cost of the pants
- The limit of the gift card = $120
Thus, the relation formed is given by,
Domain and Range of the Given Relation
We have,
⇒ 
⇒ 
Thus, the domain is given by,
⇒ 
Similarly,
⇒ 
Thus, the range is given by,
⇒ 
Learn more about domain and range here:
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