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2 years ago

Can someone please help me I will mark u brilliant asp. It’s just true or false questions

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

5 0

Answer:

False

True

Step-by-step explanation:

There cannot be an orange bead in the bag. FALSE

they never said how many colors are in the bag so there is always a possibility.

There must be exactly 1 yellow bean in the bag. FALSE

Just because Ryan only selected 1 yellow bean doesn't mean there is only 1 in the bag.

After 15 trials, Ryan has selected exactly 6 white beads. TRUE

2/5 = 6/15. Ryan has selected 6 white beads

After 16 trials, the experimental probability of selecting a blue bead is 1/4. TRUE

Ryan has selected 4/16 blue beads at the 16th trial.

After 17 trials, the experimental probability of selecting a red bead is 5/17. TRUE

at trial 17, the red bean ratio is 5/17.

1/3 = 5/15 and then 2 more trials make it 5/17.

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Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground

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Answer:

$125.4\ \text{m/s}$

Step-by-step explanation:

u = Initial velocity of baseball

$\theta$ = Angle of hit = $30^{\circ}$

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

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t = Time taken

Displacement in x direction

$x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}$

Displacement in y direction

$y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}$

The minimum initial velocity needed for the ball to clear the fence is $125.4\ \text{m/s}$

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