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3 years ago

Find the probability of the following .

Mathematics

1 answer:

slamgirl [31]3 years ago

6 0

1. A) 1/3
B)5/6
C)1/2 since 3/6 is simplified

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-144 is -1 x 2a x 3b what is the sum of a+b?

BigorU [14]

-144= -1×2a×3b
144=2a×3b
144= 6ab
24= ab

a,b could b any two factors that have a product of 24
For example a,b could = 6,4 or 8,3 or 24,1

Answer:
This question is tricky because it could have multiple answers: for example is a,b= 6,4 then a+b= 10, but if a,b=24+1=25. So, the answer is that the sum of a+b varies depending on which 2 factors of 24 a and b are equal to. Does this make sense?

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3 years ago

A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li

Serjik [45]

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that $\sigma = 16$

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

$M = z\frac{\sigma}{\sqrt{n}}$

$3 = 2.575\frac{16}{\sqrt{n}}$

$3\sqrt{n} = 2.575*16$

$\sqrt{n} = \frac{2.575*16}{3}$

$(\sqrt{n})^2 = (\frac{2.575*16}{3})^2$

$n = 188.6$

Rounding up:

189 components must be sampled.

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3 years ago

Given the scale drawing of a one-bedroom apartment, what is the actual width of the apartment from the study to the bedroom?

enyata [817]

Can you put a picture?

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3 years ago

Read 2 more answers

What are the properties of the incenter of a triangle

Anit [1.1K]

<span>Located at intersection of the angle bisectors. See Triangle incenter definition</span>

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3 years ago

At a display booth at an amusement park, every visitor gets a gift bag. Some

kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

4 0

3 years ago