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Nataly_w [17]
3 years ago
14

a catering company is charging $30 per adult and $15 per child for dinner Miss Nia hopes to spend less than $3,000 on the entire

dinner which of the following equal inequality represents the situation ?
Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

The inequality would be 15x+30y< or equal to 3000
Simply because you have to find out how many children there were x, and you have to find out how many adults there were y, In the maximum of 3000 dollars.
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Andrews [41]
The answer for your question is 3
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Factor out: <br> 5y^2-2y-7
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5y^2-2y-7=0
Product(x)= -35
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5y^2+5y-7y-7=0
5y(y+1)-7(y+1)=0
(5y-7) (y+1)
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3 years ago
Kendra is buying a Nintendo Switch with a price tag of $300. The sales tax rate where Kendra is purchasing the
castortr0y [4]

Answer: So for the 9.5% percent I'm not sure if you mean by 9.5% off the price or more for the price so Ill just do both

If you subtract $300 from 9.5% you get 271.5 US$

But if you add $300 to 9.5% you get 328.5 US$

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3 years ago
The diameter of Mercury is approximately 4.9×10^3 kilometers. The diameter of Earth is approximately 1.3×10^4 kilometers. About
JulijaS [17]
 \text {Number of times = } \dfrac{1.3 \times 10^4}{4.9 \times 10^3 }

\text {Number of times = }  \dfrac{1.3}{4.9} \times 10^{4-3}

\text {Number of times = }  0.27 \times 10

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5 0
3 years ago
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student wil
algol13

Answer:

P(Topic A) = 0.91

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A).

Step-by-step explanation:

If Topic A is chosen, 2 books will be ordered (n=2)

If topic B is chosen, 4 books will be ordered (n=4)

Probability that a book arrives in time (p) = 0.7

Probability that a book does not arrive in time (q) = 1 - p = 1 - 0.7 = 0.3

We will <u>use the binomial distribution</u> to find out which topic should the student choose to maximize the probability of writing a good paper. The binomial distribution formula is:

P(X=x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

           q = probability of failure

           n = total no. of trials

           x = no. of successful trials

For Topic A, n = 2, p=0.7 and q=0.3. If topic A is chosen, the student will use at least half the books i.e. he will use either 1 or 2 books. So,

P(Topic A) = P(X=1) + P(X=2)

                 =²C₁ (0.7)¹(0.3)²⁻¹ + ²C₂ (0.7)²(0.3)²⁻²

                 = 0.42 + 0.49

P(Topic A) = 0.91

For topic B, n=4, p=0.7 and q=0.3. If topic B is chosen, the student will choose 2 or more books i.e. 2, 3 or 4 books.

P(Topic B) = P(X=2) + P(X=3) + P(X=4)

                  = ⁴C₂ (0.7)²(0.3)⁴⁻² + ⁴C₃ (0.7)³(0.3)⁴⁻³ + ⁴C₄ (0.7)⁴(0.3)⁴⁻⁴

                  = 0.2646 + 0.4116 + 0.2401

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A) as calculated above.

3 0
3 years ago
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