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amid [387]
3 years ago
6

An object with a motional kinetic energy of 96J. Its velocity is 4m/s. What is its mass?​

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0
KE = 1/2mv^2
96 = 1/2m(16)
96 = 8m
m = 12 kg
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If 6 boys each contribute R155,50 towards the purchase of a tent. Calculate the amount which each would have to contribute if th
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Answer:

9330

Step-by-step explanation:

6 boys

= 15550 \times 6 = 93300

10 boys=93300

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3 years ago
Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n
konstantin123 [22]

Answer:

a) P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

b)P(13.848Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by S^2 and we select a random sample of size n from a normal population with a population variance \sigma^2. And we define the following statistic:

T = \frac{(n-1) S^2}{\sigma^2}

And the distribution for this statistic is T \sim \chi^2_{n-1}

For this case we know that n =25 and \sigma^2 = 6 so then our statistic would be given by:

\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

P(S^2 > 9.1)

And we can multiply the inequality by 4 on both sides and we got:

P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

P(3.462 < S^2

If we multiply the inequality by 4 on all the terms we got:

P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2And we can find this probability like this:P(13.848And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0
3 years ago
What is negative eight plus four​
goldenfox [79]

Answer:

-4

Step-by-step explanation:

- - - - - - - -

+ + + +

4 negatives cancel out and leave you with -4

6 0
3 years ago
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I need help with this equation please!<br><br> 15- w/4 = 28
Luda [366]

Answer:

w= -52

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand  

15-w/4=28

Simplifying:

15-0.25w=28

We move all terms containing w to the left and all other terms to the right.  

-0.25w=+28-15

We simplify left and right side of the equation.  

-0.25w=+13

We divide both sides of the equation by -0.25 to get w.  

w= -52

Hope it Helps :) !!

8 0
3 years ago
in a school all students play either football ir volleyball 300 play football 250 play volleyball and 110 play both the game . d
Damm [24]

Step-by-step explanation:

<h3>It will help you !!!!!!!!!!</h3>

4 0
3 years ago
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