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noname [10]
3 years ago
5

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is

36 hours and the median is 32.2 hours. Twenty-four of the families in the sample turned on the television for 21 hours or less for the week. The 11th percentile of the data is 21 hours.Approximately how many families are in the sample?Round your answer to the nearest integer.
Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0

Answer:

Number of families in the sample is 218 families

Step-by-step explanation:

Given:

There are 24 families in the sample that turned on television for 21hours or less.

The 11th percentile of the data is 21hours .

The mean of the data is 36hours.

The standard deviation is 32.2hours.

To calculate number of families in the sample = 24 / 0.11 = 218 families

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Answer:

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P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

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8 0
3 years ago
Click the picture that I sent you
Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: P=P_oe^{kt}

  • P: final population
  • P₀: initial population
  • k: rate of decay (or growth)
  • t: time

Use the half life information to find k:

\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}

5 0
3 years ago
What is the volume of a right circular cylinder with a radius of 3in and a height of 10in
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
A triangle lies entirely in Quadrant 1. In which quadrant will the triangle lie after each rotation about (0, 0)?
tester [92]
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6 0
3 years ago
Read 2 more answers
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Elena-2011 [213]

Answer:

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= -5/8

y = -5/8x + b

11 = -5/8(-8) + b

11 = 5 + b

6 = b

4 0
3 years ago
Read 2 more answers
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