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ankoles [38]
3 years ago
10

For 15 points please help

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

The movers will need 3 crib-jacks

Step-by-step explanation:

Since each crib jack can lift 30,000lbs, and without the belongings it only weighs 90,000, which divided by 30,000 equals 3.

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Simplify each problem and expre<br> 1) (2 x 10°) + (5 x 109)
elixir [45]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

(2 · 10⁰) + (5 · 109)

= (2 · 0) + (5 · 109)

=    2     + (5 · 109)

=    2     +    545

=         547

Your answer is 547.

<em>I hope this helps!</em>

3 0
3 years ago
The diameter of the Sun is 1.4 x 10⁶ km. The diameter of the planet Mars is 7000 km. What is the approximate ratio of the diamet
Lady bird [3.3K]

Answer:

  C.)  2×10²

Step-by-step explanation:

  (Sun dia) / (Mars dia) = (1.4 x 10⁶ km) / (0.7 × 10⁴ km) = (1.4/0.7) × 10²

The ratio of diameters is about 2 × 10².

_____

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

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The diameter of Mars can be expressed several ways.

  7000 = 7×1000 = 0.7×10,000 = 0.7×10⁴

4 0
3 years ago
the table shows the number of miles driven over time. express the relationship between distance and time in simplified form as a
seraphim [82]
A is the answer.  204/4 is 51, 306/6 is 51,etc.  The car travels 51 miles every 1 hour.
8 0
3 years ago
Read 2 more answers
In Sweden, 10 people are struck by lightning every year, on average. Answer thefollowing questions about a given year in Sweden
emmainna [20.7K]

Answer:

a) 19.85% probability that a total of two people are struck by lightning during first four months of the year.

b) 22.68% probability that the year has 5 good and 7 bad months

Step-by-step explanation:

We are going to use the Poisson distribution and the binomial distribition to solve this question.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

a.Find the probability that a total of two people are struck by lightning during first four months of the year.

10 people during a year(12 months).

In 4 months, the mean is \mu = \frac{10*4}{12} = 3.33

This is P(X = 2).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-3.33}*(3.33)^{2}}{(2)!} = 0.1985

19.85% probability that a total of two people are struck by lightning during first four months of the year.

b.Say that a month is good is no one is struck by lightning, and bad otherwise. Find the probability that the year has 5 good and 7 bad months.

Probability that a month is good.

P(X = 0), Poisson

The mean is \mu = \frac{10*1}{12} = 0.8333

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.8333}*(0.8333)^{0}}{(0)!} = 0.4346

Find the probability that the year has 5 good and 7 bad months.

Now we use the binomial distribution, we want P(X = 5) when n = 12, p = 0.4346. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{12,5}.(0.4346)^{5}.(0.5654)^{7} = 0.2268

22.68% probability that the year has 5 good and 7 bad months

3 0
3 years ago
the degree measure of an angle is defined as the length of the corresponding arc on the unit circle. True/False ​
Rama09 [41]

Answer:

true

Step-by-step explanation:

because it is

4 0
3 years ago
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