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3 years ago

The graph below shows the relationship between the number of hours and the

Mathematics

1 answer:

Volgvan3 years ago

7 0

Answer:

2.5

Step-by-step explanation:

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The chairlift at a ski resort has a vertical rise of 3200 feet. if the length of the ride is 1.2 miles, what is the average angl

Aleksandr-060686 [28]

(see attached graphic)
1.2 miles = 6,336 feet

IF the length is measured along the ground then:
tan (angle) = opp / adjacent
tan (angle) = 3,200 / 6,336
<span>tan (angle) = 0.505050505</span>
angle = 26.796 Degrees

IF the length is measured from the ground to the top then:
sin (angle) = opp / hypotenuse
<span>sin (angle) = 0.505050505</span>
angle = 30.335 Degrees

6 0

3 years ago

Consider rolling two fair dice one 3-sided the other 5-sided

Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

$1\leq x\leq 3,\quad 1\leq y \leq 5$

We have $P(X=x)=\frac{1}{3}$ and $P(Y=y)=\frac{1}{5}$ , because the dice are fair.

Now we use the assumption of independence to claim that

$P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}$

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

2 in a unique way (1+1)
3 in two possible ways (1+2, 2+1)
4 in three possible ways
5 in three possible ways
6 in three possible ways
7 in two possible ways
8 in a unique way

This implies that the probabilities of the outcomes of $W=X+Y$ are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5

8 0

3 years ago

Given f(x)=x-7 and g(x)=x² <br>find g(f(4))

vova2212 [387]

Answer:

Step-by-step explanation:

f(4) = 4-7 = -3

g(-3) = (-3)^2 = 9

6 0

3 years ago

Plz, help!!!!!!!!!!!

olchik [2.2K]

Answer:

<h3>Hmm, I think it might be 2 because its just a smaller version of the other triangles but if its wrong then the possible answer is 5 cause 5 looks just like 1 don't ya think?</h3>

8 0

3 years ago

I need a quick answer please, I will give Brainliest

ira [324]

Answer:

Percent: 140, 275, 0.08

Fraction: 16/25, 1 2/5, 2/25

Decimal: 0.64, 12.5, 0.125, 2.75

Step-by-step explanation:

0.08 = 8%

6 0

2 years ago