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Angelina_Jolie [31]

3 years ago

6

stanley drove his car on a business trip. When he left, the mileage was 840 miles, and when he returned, the mileage was 1,200 m

iles. The car used 12 gallons of gasoline for this trip

1 answer:

Mice21 [21]3 years ago

6 0

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In 5 hours a small plane can travel downwind for 4000 kilometers or upward 3000 kilometers. Find the speed of this plane with no

Law Incorporation [45]

Answer:

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3 years ago

Find the probability of each event.

jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.

The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which:

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

$P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098$

$P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001$

Hence:

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108$

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

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5 0

1 year ago

Find three consecutive integers such that three times The largest increased by two is equal to five times the smallest increased

rosijanka [135]

$a,a+1,a+2-\ three\ consecutve\ integers\\\\
3*(a+2)+2=5*(a+3)+3(a+1)\\\\
3a+6+2=5a+15+3a+3\\\\
3a+8=8a+18\ \ \ | subtract\ 3a\\\\
8=5a+18\ \ \ \ | subtract\ 18\\\\
-10=5a\ \ \ \ | divide\ by\ 5\\\\
a=-2\\\\Numbers\ are:\ \ -2,-1,0
$

7 0

3 years ago

Expression in simplest form

SashulF [63]

Answer:

$-x^{3} -9x^{2}$

Step-by-step explanation:

I think.

Pls give Brainliest.

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1 year ago

The Jackson family is driving from Boston to New York for a summer vacation trip. So far, they have driven 84 miles which is 40%

lesantik [10]

Answer:

210

Step-by-step explanation:

just use a percentage calculator

8 0

2 years ago

Read 2 more answers