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3 years ago

If the sum of 3 consecutive integers is -27 then what is the largest of the three numbers

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

The 3 consecutive integers are -8，-9，and -10，the largest of the three numbers is -10.

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Help please!!! 20 points

Lena [83]

Answer:

I have no idea sorry

Step-by-step explanation:

4 0

4 years ago

(CO 3) Fifty-four percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that th

11111nata11111 [884]

Answer:

a) $P(X=6)=(12C6)(0.54)^6 (1-0.54)^{12-6}=0.217$

b) $P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)$

$P(X=9)=(12C9)(0.54)^9 (1-0.54)^{12-9}=0.0836$

$P(X=10)=(12C10)(0.54)^{10} (1-0.54)^{12-10}=0.0294$

$P(X=11)=(12C11)(0.54)^{11} (1-0.54)^{12-11}=0.00628$

$P(X=12)=(12C12)(0.54)^{12} (1-0.54)^{12-12}=0.000615$

And adding the values we got:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)= 0.0836+0.0294+0.00628+0.000615 = 0.120$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of teens that have heard of a fax machine", on this case we now that:

$X \sim Binom(n=12, p=0.54)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Part a

For this case we want this probability:

$P(X=6)=(12C6)(0.54)^6 (1-0.54)^{12-6}=0.217$

Part b

For this case we want this probability:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)$

$P(X=9)=(12C9)(0.54)^9 (1-0.54)^{12-9}=0.0836$

$P(X=10)=(12C10)(0.54)^{10} (1-0.54)^{12-10}=0.0294$

$P(X=11)=(12C11)(0.54)^{11} (1-0.54)^{12-11}=0.00628$

$P(X=12)=(12C12)(0.54)^{12} (1-0.54)^{12-12}=0.000615$

And adding the values we got:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)= 0.0836+0.0294+0.00628+0.000615 = 0.120$

5 0

3 years ago

Read 2 more answers

1.7h into seconds, easy points guys, cmon.

Serggg [28]

Answer:

6120 sec

Step-by-step explanation:

1 min = 60 second

60 min = 60×60 = 3600 second

1 h = 60 min

1 h = 3600 second

1.7h = 1.7×3600

= 6120 second

8 0

3 years ago

Help plssss i beggg

iris [78.8K]

1) 29x31 / 0.30 = 2996.666( recurring) =3000 ( rounded )

4 0

3 years ago

Please help me to resolve this problem

san4es73 [151]

<h2>Answer- 3391.2mile</h2>

Step-by-step explanation:

Greetings !

Firstly, recall distance-speed equation

$speed = \frac{distance}{time}$

Given values:-

speed(v)=15.7mile/hr
time(t)=9days

required values:-

distance travelled(s)=?

solution /work-out

But, first change the time from day to hour

Thus, 9days=216hours

$distance = speed \times time$

plug in the given values and solve for the distance.

$distance = 15.7mi\hr \times 216hr \\ distance = 3391.2mile$

Hope it helps!

5 0

2 years ago