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s344n2d4d5 [400]

3 years ago

9

Kareem is on his way home in his car. He has driven 30 miles so far, which is five-sixths of the way home. What is the total len

gth of his drive?

2 answers:

oee [108]3 years ago

6 0

The answer is 36.

36 divided by 6 = 6

6 x 5 = 30

6 x 6 = 36

The answer is 36, hope this helps!

blagie [28]3 years ago

5 0

36 or 35 is the answer what is the one-sixth of it

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What should I buy? A study conducted by a research group in a recent year reported that of cell phone owners used their phones i

Llana [10]

Answer:

The probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7886.

<em />

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions? </em>

We can model this as a binomial random variable, with p=0.57 and n=14.

$P(x=k)=\dbinom{n}{k} p^{k}q^{n-k}$

a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions:

$P(x\geq7)=\sum_{k=7}^{14}P(x=k)\\\\\\$

$P(x=7)=\dbinom{14}{7} p^{7}q^{7}=3432*0.0195*0.0027=0.1824\\\\\\P(x=8) = \dbinom{14}{8} p^{8}q^{6}=3003*0.0111*0.0063=0.2115\\\\\\P(x=9) = \dbinom{14}{9} p^{9}q^{5}=2002*0.0064*0.0147=0.1869\\\\\\P(x=10) = \dbinom{14}{10} p^{10}q^{4}=1001*0.0036*0.0342=0.1239\\\\\\P(x=11) = \dbinom{14}{11} p^{11}q^{3}=364*0.0021*0.0795=0.0597\\\\\\P(x=12) = \dbinom{14}{12} p^{12}q^{2}=91*0.0012*0.1849=0.0198\\\\\\P(x=13) = \dbinom{14}{13} p^{13}q^{1}=14*0.0007*0.43=0.004\\\\\\$

$P(x=14) = \dbinom{14}{14} p^{14}q^{0}=1*0.0004*1=0.0004\\\\\\$

$P(x\geq7)=0.1824+0.2115+0.1869+0.1239+0.0597+0.0198+0.004+0.0004\\\\P(x\geq7)=0.7886$

7 0

3 years ago

The population of a bacteria colony doubles every 6 hours. For example, starting with a sample of 10 bacteria, after 6 hours the

almond37 [142]

Answer:

If the bacteria grow for six hours, each bacterium will divide 3 times per hour × 6 hours = 18 times.

Every time the bacteria reproduce, the number doubles.

5 0

3 years ago

Is 2,12 4,24 6,36 8,48 10,60 proportional

Elena L [17]

Answer:

Yes

Step-by-step explanation:

12 divided by 2 = 6, 24 divided by 4 = 6, 36 divded by 6 = 6, 48 divded by 8 = 6, 60 divided by 10 = 6.

All answers have 6 so yes it is proportional.

4 0

3 years ago

How many squares will it take to fill the large square

anastassius [24]

Answer:

i believe it would take 16. let me know if thats right?

Step-by-step explanation:

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3 years ago

An identification code is to consist of 3 letters followed by 3 digits. Determine the following

Free_Kalibri [48]

Answer:

3 letters can be arranged in 26*25*24 = 15600 ways

3 digits can be arranged in 10 * 9 * 8 = 720 ways

So the total number is 15600 * 720 = 11,232,000

So I agree with the number that you obtained

4 0

3 years ago