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Romashka-Z-Leto [24]
3 years ago
6

When you read S(h) aloud you can shorten it to "s of h"

Mathematics
2 answers:
Greeley [361]3 years ago
5 0
Yes because you are multiplying together. i think?
hope i helped
Ad libitum [116K]3 years ago
4 0
Yes the H band shortens. During the contraction the length of the sarcomere or from. Hope it helps
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HELLLLLPPPP MEEEE
soldi70 [24.7K]
X=11 because u Solve for the first variable in one of the equations, then substitute the result into the other equation.
5 0
2 years ago
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. 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
2 years ago
Write 8/6 as a fraction with a denominator of 3
Lyrx [107]
4/3 is your answer because if you simplify 8/6 by dividing both the numerator and the denominator by 2, you will get 4/3.

Also, if you want a mixed number, it is 1 1/3.

Hope this helps!
8 0
3 years ago
Find the prime factorization of each number.<br> 1. 50 =
Varvara68 [4.7K]

Answer:

1.5 is not a prime number

Step-by-step explanation:

7 0
3 years ago
Put the following in order form least to greatest 0.7m,95cm,1.3m,108cm,0.93cm plzzz I really need help
Rudik [331]
Least to Greatest: 0.7m, 0.93 cm, 95 cm, 108 cm, 1.3m
8 0
3 years ago
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