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Veseljchak [2.6K]
3 years ago
14

Write the numbers in a standard form: 57,900,000 227,900,000 1,427,000,000

Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:

madarchud

bhag loudeye bsdk

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When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con
marusya05 [52]

Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force F applied to an object with mass m is directly proportional to its acceleration a:

F=ma (1)

If we isolate a:

a=\frac{F}{m} (2) This means the acceleration of the object varies inversely with its mass

Now, we are given the following data to calculate a constant force using (1):

m_{1}=4 kg

a_{1}=5 m/s^{2}

F=m_{1}a_{1} (3)

F=(4 kg)(5 m/s^{2) (4)

F=20 N (5)

If we apply this same force calulated in (4) in another object with an acceleration of a_{2}=2 m/s^{2}, its mass m_{2} will be:

F=m_{2}a_{2} (6)

20 N=m_{2}2 m/s^{2} (7)

Finding  m_{2}:

m_{2}=10 kg This is the mass of the object

4 0
3 years ago
The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There
Oksi-84 [34.3K]

Answer:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent certain lifetime of a population, and for this case we know the distribution for X is given by:

X \sim N(10,1)  

Where \mu=10 and \sigma=1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

4 0
3 years ago
Which list shows the numbers ordered from least to greatest?
Lorico [155]

Answer:

:::::::::::::"::::::

D.

4 0
3 years ago
What is the y intercept y=-4x-5
xxTIMURxx [149]

Answer:

The y-intercept y = 4x - 5 is (0,-5).

Step-by-step explanation:

hope this helps

have a great day

plz consider marking brainliest

6 0
3 years ago
I’m confused, please help
kodGreya [7K]

Answer: (a)

Step-by-step explanation:

Given

g(x)=x^2

Clearly, f(x) is obtained by shifting g(x)  3 units down and multiplying it by a certain factor to amplify it.

Checking the option which is 3 units below and multiplying by a factor

option (a) is meeting both the cirterias.

7 0
2 years ago
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