0.2 points

natali 33 [55]

87 km I think .........

5 0

2 years ago

Two protons are going up when they enter a magnetic field that points toward you. What happens to the motion of the particles

asambeis [7]

Force on a proton when they are moving inside the magnetic field is given by

$F = q(v x B)$

so here while protons are going upwards we can say its direction of velocity is towards +Y and magnetic field is towards us which is along +Z direction so they will have force due to this motion.

As per above equation of force we can have direction of force which is along +X direction.

So here both proton will bend towards +X direction and start moving in curved path.

8 0

3 years ago

Suppose certain coins have weights that are normally distributed with a mean of 5.805 g5.805 g and a standard deviation of 0.071

stiks02 [169]

Answer:

a) $P(5.675$

And the expected number would be 260*0.933=242.58 and n =243 rounded up.

b) $P(5.675< \bar X$

Explanation:

1) 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".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

2) Part a

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

$X \sim N(5.805,0.71)$

Where $\mu=5.805$ and $\sigma=0.071$

We are interested on this probability

$P(5.675$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(5.675$

And we can find this probability on this way:

$P(-1.83$

And the expected number would be 260*0.933=242.58 and n =243 rounded up.

3) Part b

If 260 different coins are inserted in the vending machine, what is the probability that the mean falls between the limits of 5.675 g and 5.935.

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$P(5.675< \bar X$

8 0

3 years ago

A car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. The car continues for 5.00 s at con

barxatty [35]

Answer:

19.5 m

Explanation:

Using the equation of motion,

For the first 3 seconds,

s = ut +1/2at².......................... Equation 1

Where t = time, u = initial velocity, a = acceleration, s = distance

Note: Since the car starts from rest, u = 0 m/s.

Given: a = 1.0 m/s, t = 3 s, u = 0 m/s

Substitute into equation 1

s = 0×3+1/2(3)²(1)

s = 9/2

s = 4.5

In the remaining five seconds, at a constant velocity,

s' = vt............. Equation 2

Where v = velocity, t = time.

Recall,

v = u+at

v = 0+1(3)

v = 3 m/s.

Also, t = 5 s.

Substitute into equation 2

s' = 3(5)

s' = 15 m.

Total distance = 15+4.5

Total distance = 19.5 m.

Hence the car travels 19.5 m

8 0

2 years ago

Define average velocity <br>

maxonik [38]

Hello! mark me brainliest please

The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time.

7 0

2 years ago

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