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liberstina [14]
3 years ago
12

12. In Europe, 88% of all households have a TV. 51% of all households have a TV and VCR. What is the probability that a househol

d has a VCR given they have a TV?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
7 0

Answer:

0.579  is the probability that a household has a VCR given they have a TV.

Step-by-step explanation:

We are given the following in the question:

Probability of all households have a TV = 88% = 0.88

P(T) = 0.88

Probability of all households have a TV and VCR = 51% = 0.51

P(T\cap V) = 0.51

We have to find the probability that a household has a VCR given they have a TV.

The conditional probability is given by:

P(V|T) = \displaystyle\frac{P(V\cap T)}{P(t)} = \frac{0.51}{0.88} = 0.579

0.579  is the probability that a household has a VCR given they have a TV.

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Which of the following is equivalent to the complex number i^8?
Maru [420]

Answer:

I think the answer is -1

Step-by-step explanation:

the sequence goes i, -i, 1, -1

Right? >_>

4 0
3 years ago
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If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible valu
Alexxx [7]

Answer:

70

Step-by-step explanation:

  • for the value of difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum

[in A-B=X, A is minuend and B is subtrahend ]

  • so, $a.b should be maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.

therefore, $a.b=9*8=72

  • as mentioned above, c.d$ should be minimum. this will be possible only when we choose  2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.

therefore, c.d$ = 1*2 = 2

  • hence, the difference = 72-2 = 70
  • thus,  the largest possible value of the difference $a.b - c.d$ = 70
7 0
3 years ago
Weather affects flights across the nation, causing delays, cancellations, and general disruption to the NAS. You have gathered a
hammer [34]

Answer:

a.) one sample t test

b.) H0 : μ = 59.3

c.) H1 : μ > 59.3

d.) μ = 59.3 ; σ = 39.84

e.) xbar = 79.4 ; s = 61.36

Test statistic = 3.16

Step-by-step explanation:

Given the sample data:

49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00

Sample size, n = 30

Using calculator :

xbar from the data above = 79.4

Standard deviation = 61.359

H0 : μ = 59.3

H1 : μ > 59.3

Test statistic :

(Xbar - μ) ÷ (σ/sqrt(n)

σ = 34.83

(79.4 - 59.3) ÷ (34.83/sqrt(30))

20.1 ÷ 6.359

Test statistic = 3.16

4 0
2 years ago
A bag has 4 Hershey's bars, 5 Twix, 7 Reese's bars, and 9 Milky Way bars.
Ludmilka [50]

Step-by-step explanation:

Total bars = 4 + 5 + 7 + 9 = 25

Probability of Reese bar = 7/25

Probability of milky way = 9/25

6 0
3 years ago
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What is $20.00 less than 2.5 times the price of $64.80
KatRina [158]
To figure this out youll have to multiply 64.80 by 2.5 first then youll get 162 after to figure out the answer you subtract 20 from that amount and get 142
7 0
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