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Marta_Voda [28]
3 years ago
15

You go to buy a new sofa and find that it is on sale.

Mathematics
2 answers:
sergey [27]3 years ago
7 0

Answer:

344.25

Step-by-step explanation:

natita [175]3 years ago
3 0

The Answer is: $344.25

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This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
Vlad [161]

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Person has the flu.
  • Event B: Person got the flu shot.

The percentages associated with getting the flu are:

  • 20% of 30%(got the shot).
  • 65% of 70%(did not get the shot).

Hence:

P(A) = 0.2(0.3) + 0.65(0.7) = 0.515

The probability of both having the flu and getting the shot is:

P(A \cap B) = 0.2(0.3) = 0.06

Hence, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at brainly.com/question/14398287

7 0
2 years ago
A basic cellular phone plan costs $4 per month for 70 calling minutes. Additional time costs $0.10 per minute. The formula C= 4+
Harrizon [31]

Answer:

For a monthly cost of at least $7 and at most $8, you can have between 100 and 110 calling minutes.

Step-by-step explanation:

The problem states that the monthly cost of a celular plan is modeled by the following function:

C(x) = 4 + 0.10(x-70)

In which C(x) is the monthly cost and x is the number of calling minutes.

How many calling minutes are needed for a monthly cost of at least $7?

This can be solved by the following inequality:

C(x) \geq 7

4 + 0.10(x - 70) \geq 7

4 + 0.10x - 7 \geq 7

0.10x \geq 10

x \geq \frac{10}{0.1}

x \geq 100

For a monthly cost of at least $7, you need to have at least 100 calling minutes.

How many calling minutes are needed for a monthly cost of at most 8:

C(x) \leq 8

4 + 0.10(x - 70) \leq 8

4 + 0.10x - 7 \leq 8

0.10x \leq 11

x \leq \frac{11}{0.1}

x \leq 110

For a monthly cost of at most $8, you need to have at most 110 calling minutes.

For a monthly cost of at least $7 and at most $8, you can have between 100 and 110 calling minutes.

8 0
3 years ago
Hi.i need help with this.i will apreciate the answer:)))
Anvisha [2.4K]
Here is how to work 2, 3 , and 4.

7 0
3 years ago
The side lengths of a 45-45-90 triangle are in the ratio 1 : 1: V2. What is tan 45°?
Artyom0805 [142]

Answer:

B. 1/2

Step-by-step explanation:

divide/

3 0
3 years ago
1. BOTANICAL GARDENS One of the displays at a botanical garden is an herb garden planted in the shape of a square. The square me
bija089 [108]

The pathway is 8.46 yards.

<h3>How to find the length of the pathway?</h3>

To find the length of the pathway, it is required to find how long is the diagonal line from one corner of the herb garden to the opposite corner. As shown in the image attached.

The general formula for this is:

  • d = a√2 or diagonal = side√2

Let's apply this formula:

  • d= 6 √2
  • d= 6 x 1.41
  • d= 8.46 yards

Learn more about yards in: brainly.com/question/14516546

4 0
2 years ago
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