Phil and his family want to do something fun and memorable on leap day. they each come up with an activity: attend a trapeze class, go fishing, go on a hike, or visit a theme park. they settle on picking the letters l, e, a, and p from a bowl, replacing them after each pick, to make the decision. they repeat this experiment 40 times to verify their model and record the results in this table.

activity

letter

times picked

trapeze class l
10

fishing e
11

hiking a
9

theme park p
10

based on the results in the table, is this model a fair representation for choosing an activity?

no, it is an unfair model because the outcomes have different frequencies.

no, it is an unfair model because the relative frequency of the letter e is the highest.

yes, it is a fair model because the relative frequencies of the letters l and p are equal.

yes, it is a fair model because the relative frequencies of all the outcomes are similar.

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

the aurora is formed when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere. these collisions result in countless little bursts of light, called photons, which make up the aurora.

auroras are generated by charged solar particles hitting molecules in earth's atmosphere. this usually happens in high latitudes, because our planet’s magnetic field tends to funnel these particles toward the poles. that’s why it can be experienced in northern ohio.

the answer is the first electromagnet (a). this is because it has more coils around the ferromagnetic material. increasing the number of coils increases the surface area in which the metal interacts with the current in the coil. this enables more atoms in the metal to become aligned hence becoming more magnetized.