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dolphi86 [110]
3 years ago
6

Sociologists want to determine the probability of exactly 4 out of the next 7 individuals they survey earning over

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

Answer:

the probability of exactly 4 out of next 7 individuals that the sociologists survey earning over $50000 is given by

= \binom{7}{4} \cdot (0.3)^4(0.7)^{7-4} = 0.09724

Step-by-step explanation:

i) This problem is solved by using the Binomial Probability distribution as the sample size is less than 30.

ii) The sample size is 7

iii) It is given that the probability of an individual earning over $50000 is 30% or 0.3 and therefore the probability of an individual not earning over $50000 is ( 1 - 0.3) = 0.7

iv) Therefore the probability of exactly 4 out of next 7 individuals that the sociologists survey earning over $50000 is given by

= \binom{7}{4} \cdot (0.3)^4(0.7)^{7-4} = 0.09724

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Answer:

2 1/2

Step-by-step explanation:

The answer is 2 1/2 simply because 3/4 minus 1/4 equals 2/4 which is equivalent equivalent to 1/2. The you would subtract 3 by 1 which is 2 so the answer is 2 1/2

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Steps:

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A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel
Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

Submarine

x_{Su} = x_{o}+v_{Su}\cdot t

Where:

x_{o} - Position of Diego Garcia island, measured in miles.

x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

v_{Sh}, v_{Su} - Velocities of ship and submarine, measured in miles per hour.

t - TIme, measured in hours.

If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

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3 years ago
A sum of money amounting to $4.15 consists of dimes and quarters. If there are 28
anastassius [24]

Answer:

there are 9 quarters and 19 dimes

Step-by-step explanation:

Let x be the number of dimes and y the number of quarters

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We have the equation:

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x = 28 - y

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3 years ago
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