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Tatiana [17]
3 years ago
11

Which property was used to write the equation in step 2?

Mathematics
2 answers:
ankoles [38]3 years ago
5 0

For this case we have that by definition, the distributive property establishes that:

a (b + c) = ab + ac

So, if we have:

5 (x-7) = 55

When applying distributive property to the terms within the parenthesis we have:

5x-35 = 55

The distributive property was used to write the second step.

Answer:

Distributive property

tatyana61 [14]3 years ago
4 0

Answer:

Distributive property.

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A human gene carries a certain disease from the mother to the child with a probability rate of 34%. That is, there is a 34% chan
fenix001 [56]

Answer:

The probability that at least one of the children get the disease from their mother is 0.7125.

Step-by-step explanation:

We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.

Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.

Let Probability that children get the disease from their mother = P(A) = 0.34

SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)

where A' = event that children do not get the disease from mother.

So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66

Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother

                     = 1 - P(X = 0)

                     = 1 - (0.66 \times 0.66 \times 0.66)

                     = 1 - 0.2875 = <u>0.7125</u>

7 0
3 years ago
I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ
Jobisdone [24]

Answer:

\frac{a(450-8a^2)}{4}

is the volume in terms of side a

Step-by-step explanation:

Given that you I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per square foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed.

Let a be the side of square and h be the height

Total cost of materials = cost for floor + cost for roof + cost for sides

= area of floor (4) + lateral area (2.50)+roof area (2)

=4a^2+4ah+4a^2\\=8a^2+4ah = 450h = \frac{450-8a^2}{4a}

Now coming to volume

Volume = V = lbh = a^2 h\\= a^2*\frac{450-8a^2}{4a} \\=\frac{a(450-8a^2)}{4}

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3 years ago
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