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erastovalidia [21]
3 years ago
7

Using the numbers1,3,4,8 and the operation +, -, x, ( ) to get an answer of 18. What is possible solution?

Mathematics
1 answer:
seropon [69]3 years ago
7 0
I have tried and from what I can tell, it is mathematically impossible. 
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How to solve this linear system of equations?
belka [17]
X=4, y=2 or x=2, y=-4
7 0
3 years ago
An employee shreds 341 pages in 11 minutes of work. How many pages will she shred in 20 minutes?
gavmur [86]

We have been given that an employee shreds 341 pages in 11 minutes of work.

First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.

\text{Pages shred by employee in one minute}=\frac{341}{11}=31

Now let us multiply 31 by 20 to find number of pages shred by employee in 20 minutes.

\text{Pages shred by employee in 20 minutes}=31\cdot20=620

Therefore, employee will shred 620 pages in 20 minutes.

6 0
3 years ago
. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes
jok3333 [9.3K]

Answer:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

0.00885... < 0.01

The test statistic of 46 is significant

There is sufficient evidence to reject H₀ and accept H₁

Air bags are more effective as protection than safety belts

Step-by-step explanation:

821 crashes

46 hospitalisations where car has air bags

7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts

α = 0.01 or 1% ← level of significance

One-tailed test

We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;

The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;

So we are testing if hospitalisations in cars with air bags is less than 0.078;

So, firstly:

Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags

X~B(821, 0.078)

Null hypothesis (H₀): p = 0.078

Alternative hypothesis (H₁): p < 0.078

According to the information, we reject H₀ if:

P(X ≤ 46 | X~B(821, 0.078)) < 0.01

To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;

If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:

P(X = r) = nCr * p^{r}  * (1 - p)^{n - r}

You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

Now, we need to consider if the condition for rejecting H₀ is met and recognise that:

0.00885... < 0.01

There is sufficient evidence to reject H₀ and accept H₁.

To explain what this means:

The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;

In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.

5 0
3 years ago
Can someone help me with my homework...? Its about graphing functions and tables, I'll post it right now! But can someone who kn
sergejj [24]

Answer:

sure where is the attachment?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The boston celtics have won 16 nba championships over approximately 50 years. Thus it may seem reasonable to assume that in a gi
Nutka1998 [239]

We have been given that The boston celtics have won 16 nba championships over approximately 50 years. Therefore, it can be concluded that in any given year the probability of celtics winning the title will be p = 16/50 = 0.32

For Celtics to win eight straight championships in 1959, we will be required to multiply the probability of winning championship in one year to itself 8 times.

Therefore, the required probability is:

0.32^{8}=0.0001099511627776

Therefore, the required probability is almost 0.00011.

8 0
3 years ago
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