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2 years ago

2. The fifth graders are going on a field trip to the museum. They are taking buses that

Mathematics

2 answers:

Alinara [238K]2 years ago

8 0

Answer:

No they weren't enough Buses, i know because 113/24 is 4.70 so they were still 17 people left.

Step-by-step explanation:

113/24= 4.70

24+24+24+24= 96

113-96= 17

KonstantinChe [14]2 years ago

8 0

Answer:

There were not enough buses.

Step-by-step explanation:

24 people multiplied by the 4 buses = 96.

4 buses only hold 96 people, however, they need enough buses to hold 113 people.

They would need 5 buses to hold 113 people

5 buses will hold 120 people

24 x 5 = 120

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Medals please help

Nataly [62]

<span>the triangle inequality theorem simply states, The sum of the lengths of any two sides of a triangle is greater than the length of the third side. your answer is B.</span>

3 0

2 years ago

According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

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, on this case we now that:

$X \sim Binom(n=9, p=0.47)$

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:

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

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

$P(X \geq 1)= 1-P(X$

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

6 0

2 years ago

Please explain step by step worth 20 points

ankoles [38]

Multipy $275 by the 4.5%
4.5%=.045 (just move the decimal 2 places left)
275*.045= 12.375 Susan gets $12.375 a year (don't round yet)
Multiply $12.375 by 5years 12.375*5= 61.875 (now round)
$61.90=B
I hope this helps! :)

5 0

3 years ago

Divide and write your answer in simplest form.<br> 4 ÷ 1/2

MAVERICK [17]

Answer:

the answer will be 8

Step-by-step explanation:

pls give me brainliest

8 0

1 year ago

Choose impossible,unlikely,as likely as not, or certain to describe the event. The spinner lands on numbers 2,3,or 4.

Vaselesa [24]

2 is the right answer

7 0

1 year ago