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3 years ago

The probability that it will snow tomorrow is 15%. What are the odds in favour of it snowing tomorrow

Mathematics

1 answer:

Elenna [48]3 years ago

6 0

Answer:

The probabilities of all possible outcomes must sum to 1, since something has to happen. So

Psnow=13⟹Pno snow=1−13=23.Psnow=13⟹Pno snow=1−13=23.

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A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

3 years ago

identify the type of transformation (translation,rotation,reflection,dilation) and give the rule! thanks

Katarina [22]

Translation (1,1) as it has moved one left horizontally and one up vertically. that is if the question is about the bottom left shape. if it is about the top right then it would be (-1,-1)

6 0

3 years ago

The function p(x) = - 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from

dolphi86 [110]

ANSWER

$28

EXPLANATION

The profit function is given as:

$p(x) = - 2 {(x - 9)}^{2} + 100$

where x is the price of the T-shirt in dollars.

To find the profit on a T-shirt whose price is $15, we substitute x=15 into the function and simplify.

$p(15) = - 2 {(15 - 9)}^{2} + 100$

We simplify to get:

$p(15) = - 2 {(6)}^{2} + 100$

$p(15) = -72+ 100$

$p(15) = 28$

6 0

3 years ago

Simplify.If x=2, then what is 3x^2 - 2x + 1?

dybincka [34]

Step-by-step explanation:

3x^2-2x+1

3(2)^2-2(2)+1

3(4)-4+1

12-4+1

8+1=9 Answer

4 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%28%203%20-%20%28%20-%204%20%7Bx%7D%29%5E%7B2%7D%20" id="TexFormula1" title=" ( 3 - ( - 4 {

Alja [10]

The answer to the question

3 0

3 years ago