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3 years ago

5

Oliver read for 450 minutes this month. His goal to read for 10% more minutes next month. If Oliver meets his goal, how many min

utes will he read in all during the two months?

1 answer:

sesenic [268]3 years ago

4 0

Answer: 945

Step-by-step explanation:

this month = 450.

next month 450x10/100=45, 450+45= 495

450+495= 945

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The LMC of 6 and 7 is

nadya68 [22]

Answer:

6, 12, 18, 24, 30, <u>36</u>. 42, 46, 52, 58, 64,

7, 14, 21, 29, <u>36</u>

Your answer is 36.

Step-by-step explanation:

LCM means the multiple which the two numbers share with the least value. So, I just found the multiples of each number until I found the one which was common. If you would like me to explain this in more depth, tell me! I'd be glad to help.

6 0

3 years ago

Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1

Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

$P(x=r)=^nC_rp^rq^{n-r}$

(a) Exactly two will be drunken drivers.

$P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}$

$P(x=2)=66(0.2)^{2}(0.8)^{10}$

$P(x=2)=\approx 0.28347$

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

$P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)$

$P(x=3\text{ or }x=4)=P(x=3)+P(x=4)$

Using binomial we get

$P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}$

$P(x=3\text{ or }x=4)=0.236223+0.132876$

$P(x=3\text{ or }x=4)\approx 0.369099$

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

$P(x\geq 7)=1-P(x$

$P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]$

$P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]$

$P(x\leq 7)=1-[0.9961]$

$P(x\leq 7)=0.0039$

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

$P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)$

$P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315$

$P(x\leq 5)=0.9806$

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0

3 years ago

Bradley is returning home from a place that is 2 kilometers away. The function y = 2,000 − 90x represents Bradley's distance fro

12345 [234]

Answer:

The function is linear

The function changes at a constant rate

Step-by-step explanation:

If this function were to be graphed, a line would be seen. It is not an increasing function because he is getting closer to home so the distance from his house is decreasing

6 0

3 years ago

Well has -55.00 in his account if he saves $2.50 his mom gives him lunch every day, how many days will it be until he has a bala

gayaneshka [121]

Answer:

22 days

Step-by-step explanation:

55 divided by 2.5=22 days

7 0

2 years ago

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3 people equally share 4 oranges. How many oranges does each person get?

-Dominant- [34]

1 1/3 or 4/3 of an orange to each person. Suppose you cut each orange into thirds (1/3 * 4)

8 0

3 years ago