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Helen [10]
3 years ago
8

5. Molly subscribed to a new streaming service. The monthly cost includes a $9 base fee plus $0.50 for each

Mathematics
1 answer:
MrMuchimi3 years ago
5 0

Answer:

a.   c = 9 + 0.5w

b.   She'll pay $11.5

Step-by-step explanation:

Given

Base Fee = $9

Additional Fee = $0.50 per show

Solving (a): Find the relationship between c and w

c = Monthly cost

w = Number of shows

c = Base Fee + Additional Fee * Number of Shows

c = 9 + 0.5 * w

c = 9 + 0.5w

Solving (b): Find c if w = 5

c = 9 + 0.5w

Substitute 5 for w

c = 9 + 0.5 * 5

c = 9 + 2.5

c = 11.5

<em>Hence, She'll pay $11.5</em>

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GenaCL600 [577]

Answer:

Words for dividing:

  • shared
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The problem is asking you to divide, because the key word is, "fill empty egg cartons that each hold"

So Mary will fill  each carton with 12 eggs each until she runs out.

216 / 12

<em>12 goes into 216 eighteen times exactly.</em>

<em />12 * 18 = 216

<em>and the result is(R means leftovers, which are none here)...</em>

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2 years ago
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<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

5 0
3 years ago
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Solution:

x y ║ z w→→Given

Also, x z is a transversal, that intercepts x y and z w.

So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.

Also, v is point of intersection of x z and y w.

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3 years ago
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