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3 years ago

Jason drove 125 miles without stopping . His average speed was 50 miles per hour . How many hours did Jason drive

Mathematics

2 answers:

GalinKa [24]3 years ago

4 0

Answer:

2/5=0.4h

Step-by-step explanation:

Use V=X/t

t=X/V

=50/125=2/5=0.4h

adoni [48]3 years ago

4 0

Answer:

Jason drove for 1 hour and 30 minutes.

You just need to divide 125 by 50. or like this: 125/50

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Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f

GREYUIT [131]

Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

He has a 3/4 probability of success.

This means that $p = \frac{3}{4} = 0.75$

Giannis shoots three free throws

This means that $n = 3$

What is the probability that he succeeds on at least two of them

$P(X \geq 2) = P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219$

$P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438$

84.38% probability that he succeeds on at least two of them

6 0

3 years ago

Help me pls! (Dot plots) Answer F G H. (Median and range)

skad [1K]

Answer:

F. Last season median was 2, this season median was 5

G. The range last season and this season are the same: 8

H. This season was Paula's best. Her median score per game was 5, and she scored as many as 9 points in a game. (If you've discussed mean and mode in class, here's more info) Her mean score (average score) last season was 3.41, and this season was 5. Also, her mode (score she recorded most often) this season was 5, compared to last season's mode of 2.

Step-by-step explanation:

Last season data set:

0, 1, 1, 2, 2, 2, 2, 4, 5, 7, 7, 8

median: 2

range: 8 - 0 = 8

mean: 3.41 points per game

mode: 2 points per game

This season data set:

1, 2, 2, 3, 5, 5, 5, 5, 7, 8, 8, 9

median: 5

range: 9 - 1 = 8

mean: 5

mode: 5 points per game

Let me know if you have any questions.

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3 years ago

30 POINTS!!!! I NEED AN ANSWER!!PLEASE HELP!

Harman [31]

Answer:

Its the last one: a translation 2 units right and 4 units down.

Step-by-step explanation:

To get from point E (1,3) to E' (3-1) you add 2 units to the x coordinate since the x-axis goes from left to right and moving to the right means its positive and then you subtract 4 from the y coordinate since the y axis is going up and down and when you move -4 points you move down 4 points. You do this to every other point get the new figure.

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3 years ago

The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.

maks197457 [2]

Answer:

195.25

Step-by-step explanation:

Consider geometric series S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1 -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1 -1)

The formula now shows S(n)=a(r^n+1 -1)/(r-1)

Now use the formula for the problem

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3 years ago

Multiply.<br><br> −2(8) <br><br> plz help me

Luda [366]

8 x2 is 16; we have a negative sign, so that makes our answer -16

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3 years ago

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