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Helga [31]
3 years ago
12

Julie is going to a store to buy vases to use as centerpieces at her party. Small vases cost $2 and large vases cost $4. She nee

ds to buy a minimum of 15 vases, and can spend a maximum of $50.
Which system of linear inequalities represents this situation? Let s represent the number of small vases and l represent the number of large vases.

A
s + l ≥ 15

2s + 4l ≤ 50

B
s + l ≤ 15

2s + 4l ≥ 50

C
s +l ≥ 50

2s + 4l ≤ 15

D
s + l ≥ 15

2s +4l ≥ 50
Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0
Short answer: A
D: the second equation is wrong. She wants to be under 50

C: The system is confusing money with the number of vases

B: The answer is wrong. She wants to spend under or equal to 50 not over.
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2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac
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Answer:

P(disease/positivetest) = 0.36116

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

P(B) >0

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

P(I)=0.025

P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975

P(PT/I)=0.904\\P(PT/NI)=0.041

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=0.904

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116

8 0
3 years ago
Evaluate. 5(-6) = _____
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ANSWER

Your answer is -30

3 0
4 years ago
What is -3.5+(-4.9)=?What is the answer please?
musickatia [10]

Answer:

The answer is  -8.4

6 0
3 years ago
a car manufacturing company was able to release 1860 units at the end of january based on records they were able to increase the
saw5 [17]

Answer:

11th month which is November

Step-by-step explanation:

1860 + 45(m - 1) = 2310

1860 + 45m - 45 = 2310

1815 + 45m = 2310

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8 0
3 years ago
Select the solution for the system of linear equations y=3x+4 and y=x+2
Oduvanchick [21]

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 4 → (1)

y = x + 2 → (2)

Substitute y = 3x + 4 into (2)

3x + 4 = x + 2 ( subtract x from both sides )

2x + 4 = 2 ( subtract 4 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting x = - 1 into (2)

y = - 1 + 2 = 1

Solution is (- 1, 1 )

3 0
3 years ago
Read 2 more answers
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