(w 15/w 5)4 simplified

A physics student stands at the top of a hill that has an elevation of 56 meters. He throws a rock and it goes up into the air a

Virty [35]

round your answer to the nearest hundredth place the answer is a

3 0

3 years ago

Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc

aivan3 [116]

1) 4.55

2) Short hit

Step-by-step explanation:

1)

The table containing the score and the relative probability of each score is:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Here we call

X = Miguel's score on the Water Hole

The expected value of a certain variable X is given by:

$E(X)=\sum x_i p_i$

where

$x_i$ are all the possible values that the variable X can take

$p_i$ is the probability that $X=x_i$

Therefore in this problem, the expected value of MIguel's score is given by:

$E(X)=3\cdot 0.15 + 4\cdot 0.40 + 5\cdot 0.25 + 6\cdot 0.15 + 7\cdot 0.05=4.55$

2)

In this problem, we call:

X = Miguel's score on the Water Hole

Here we have that:

- If the long hit is successfull, the expected value of X is

$E(X)=4.2$

- Instead, if the long hit fails, the expected value of X is

$E(X)=5.4$

Here we also know that the probability of a successfull long hit is

$p(L)=0.4$

Which means that the probabilty of an unsuccessfull long hit is

$p(L^c)=1-p(L)=1-0.4=0.6$

Therefore, the expected value of X if Miguel chooses the long hit approach is:

$E(X)=p(L)\cdot 4.2 + p(L^C)\cdot 5.4 = 0.4\cdot 4.2 + 0.6\cdot 5.4 =4.92$

In part 1) of the problem, we saw that the expected value for the short hit was instead

$E(X)=4.55$

Since the expected value for X is lower (=better) for the short hit approach, we can say that the short hit approach is better.

8 0

3 years ago

Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)

Lelu [443]

Answer:

$y=-\frac{3}{10} x+\frac{1}{2}$ or $-\frac{3}{10}$

Step-by-step explanation:

first use the y2-y1/x2-x1 formula then use y=mx+b after

plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

$\frac{2-(-1)}{-5-5}$ =

2+1=3

-5-5=-10

$-\frac{3}{10}$ is ur slope

_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

-1=-3/10(5)+b

-3/10*5=-3/2

-1=-3/2+b

add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

hope this helps

7 0

3 years ago

If UV = 8x, VW=x+1, and UW=10,what is VW?

jok3333 [9.3K]

Applying the segment addition theorem, the length of line segment VW is: 2 units.

<h3>What is the Segment Addition Theorem?</h3>

The segment addition theorem states that the sum of the lengths of two segments that make up a larger line segment equals the measure of the larger line segment, if the point on the line segments are collinear.

UV = 8x

VW = x+1

UW = 10

UV + VW = UW (segment addition theorem)

Substitute the values

8x + (x + 1) = 10

Open bracket

8x + x + 1 = 10

Combine like terms

9x + 1 = 10

Subtract 1 from both sides

9x + 1 - 1 = 10 - 1

9x = 9

Divide both sides by 9

9x/9 = 9/9

x = 1

VW = 8x + (x + 1)

Plug in the value of x

VW = x + 1

VW = 1 + 1

VW = 2 units.

Therefore, applying the segment addition theorem, the length of line segment VW is: 2 units.

Learn more about the segment addition theorem on:

brainly.com/question/1397818

#SPJ1

7 0

2 years ago

You work for a swimming pool cleaning service. The pool you are cleaning holds 15,000 gallons of water. The cleaning solution yo

katrin2010 [14]

Answer:

The answer would be 2.5 oz. of solution

Step-by-step explanation:

If you need 1:6,000 ratio and the pool you are cleaning is 15,000 then you divide 15,000 by 6,000 and you get what your ratio should be

4 0

3 years ago