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IrinaK [193]
3 years ago
13

What is the correct reason for statement 2? Prove: 10(w + 6) + 4 = 10w + 64 Statements Reasons 1. 10(w + 6) + 4 1. Given 2. (10w

+ 60) + 4 2. 3. 10w + (60 + 4) 3. Associative Property 4. 10w + 64 4. Addition A. Distributive Property B. Commutative Property C. Associative Property of Multiplication D. Addition
Mathematics
1 answer:
ira [324]3 years ago
7 0
Answer is <span>A. Distributive Property
---------------------------------------------------
</span><span>Reasons 1. 10(w + 6) + 4
</span>Given 2. (10w + 60) + 4 ...this is expand the Distributive Property<span>

</span>hope that helps
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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
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Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds.
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Answer:

One hundred and fifty 40 pounds boxes and twenty 75 pounds boxes

Step-by-step explaination:

The maximum amount he can haul in one load is 7500 pounds

150 × 40 pounds boxes = 6000 pounds

20 × 75 pounds boxes = 1500 pounds

6000 pounds + 1500 pounds = 7500 pounds

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The answer would be c)226. hope this helps!
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