Find the distance between the pair of points: (2,6) and (0,−3).

Answer:

a) [tex]f(x) = \frac{1}{25.9}[/tex]

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The probability density function of the uniform distribution is:

[tex]f(x) = \frac{1}{b-a}[/tex]

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that [tex]a = 284.7, b = 310.6[/tex].

a. Give a mathematical expression for the probability density function of driving distance.

[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Answer:

x = 7 , -1

Step-by-step explanation:

SOLUTION :-

[tex]4(x-3)^2-11 = 53[/tex]

[tex]=> 4(x-3)^2-11+11=53+11[/tex]

[tex]=> 4(x-3)^2 = 64[/tex]

[tex]=> \frac{4(x-3)^2}{4} = \frac{64}{4}[/tex]

[tex]=> (x-3)^2 = 16[/tex]

[tex]=> \sqrt{(x-3)^2} = \sqrt{16}[/tex]

[tex]=> x-3 = +4 \; or -4[/tex]

Here , x will have two values -

1) [tex]x-3 = 4[/tex]

[tex]=> x = 4 + 3 = 7[/tex]

2) [tex]x - 3 = -4[/tex]

[tex]=> x = -4 + 3 = -1[/tex]

VERIFICATION :-

When x = 7 ,

[tex]4(x-3)^2 - 11 = 4(7 - 3)^2 - 11[/tex]

                       [tex]= 4 \times 4^2 - 11[/tex]

                       [tex]= 4 \times 16 - 11[/tex]

                       [tex]= 64 - 11[/tex]

                       [tex]= 53[/tex]

When x = -1 ,

[tex]4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11[/tex]

                       [tex]= 4 \times (-4)^2 - 11[/tex]

                       [tex]= 4 \times 16 - 11[/tex]

                       [tex]= 64 - 11[/tex]

                       [tex]= 53[/tex]

Answer:

12

Step-by-step explanation:

1) to calculate the length of RT (in ΔRST):

SR/sin60°=12√3 / (√3/2)=12.

2) in ΔQRT RT=RQ=x (the m∠T=m∠Q !), then x=12.

Answer:

1/16 ;4 ; 16

Step-by-step explanation:

Given that :

f(x) = 1/4^-x

f(-2) = 1/4^-(-2)

f(-2) = (1/4)^2

f(-2) = (1/16)

f(1) = 1/4^-1

f(1) = 1 / (1/4)^1

f(1) = 1 * 4/1 = 4

f(2) = 1/4^-2

f(1) = 1 / (1/4)^2

f(1) = 1 / (1/16)

f(1) = 1 * 16/1 = 16

Answer:

p = 5(8)(6.88)

p = $275.20

Answer:

d. static

Step-by-step explanation:

This is a question about Java programming.

A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.

Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.

Answer:

D

Step-by-step explanation:

This is considered quadrant II

Answer:

n = -4

Step-by-step explanation:

1. the sum of 5 and some number translates to 5 + x.

2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).

3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4

4. Now you can solve the equation. When solved, the answer is n = -4

Answer:

B. binomcdf(100, 0.5, 35)

Step-by-step explanation:

Binomcdf function:

The binomcdf function has the following syntax:

binomcdf(n,p,a)

In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.

35 or fewer heads come up when flipping a coin 100 times.

100 coins are flipped, which means that n = 100.

Equally as likely to be heads or tails, so p = 0.5

35 or fewer heads, so a = 35.

Then

binomcdf(n,p,a) = binomcdf(100,0.5,35)

The correct answer is given by option B.

Answer:

area of the rectangle

(3X²+5)(2X-3)

=3X²(2X-3)+5(2X-3)

=6X³-9X²+10X-15

Answer:

-3/4

Step-by-step explanation:

Have a nice day

Answer:6

Step-by-step explanation:

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]

Step-by-step explanation:

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where:

[tex]Center = (h,k)[/tex]

[tex]radius \to r[/tex]

From the graph, we have

[tex](h,k) = (6,2)[/tex]

[tex]r = 2[/tex]

So:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex] becomes

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex]

[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]

Answer:

Step-by-step explanation:

If you have a square of side [tex]l[/tex], its diagonal would be [tex]l\sqrt{2}[/tex], and its area [tex]l^2[/tex]

If the big square has a area of 900, this implies that its side is [tex]\sqrt{900}[/tex], so the two diagonal of squares 2 and 4 added together would be [tex]\sqrt{900}[/tex], therefore one diagonal wold be [tex]\frac{\sqrt{900}}{2}[/tex]. and its side [tex]\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}[/tex]. The area (of one square) is [tex](\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}[/tex]

finally the two areas combined (squares 2 and 4) would be 225

Answer:

425

Step-by-step explanation:

I used help from the guy above me to find 2 and 4 so look at theirs for those. (Thank You). For 1 and 3. Each one is 1/9 of the big square. So each one is 1/9*900=100 100*2=200. And then we add 225+200=425.

Hope this helps :)

Answer:

It's A because on b it says is she gets up after 6:00 she will not be late and that's wrong cause she will be

Answer:

y = -2x + 20

Step-by-step explanation:

Use the linear equation, y = mx + b, where m is the slope and b is the y intercept.

In this situation, the y intercept is 20, since the starting amount of gasoline is 20 gallons.

The slope will be -2, since 2 gallons are drained per minute.

Plug in these values:

y = mx + b

y = -2x + 20

So, the linear equation is y = -2x + 20

Answer:

Step-by-step explanation:

To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!

answer is in photo above

midpoint= (x, y)

where x=(x1 + x2)/2

y=(y1 + y2)/2

x1=-3, x2=6, y1=5, y2=-11

so x=(-3 + 6)/2= 3/2

y=(5 + -11)/2= (5-11)/2= -6/2= -3

so mid point =(3/2, -3)

hope this helps

Answer:

3.99kg

Step-by-step explanation:

you can find it by 4kg minus 1 g that stills counts as rounding

Answer

coochie man

Step-by-step explanation:

Answer:

( x - (-1) )^2 + ( y - (-1) )^2 = 3^2

Step-by-step explanation:

The equation of a circle is ( x - h )^2 + ( y - k )^2 = r^2, r is the radius.

(h,k) is the coordinates for the center point.

In this image, it appears K is 3 units away from any point on the circle, making 3 the radius.

Our equation is now ( x - h )^2 + ( y - k )^2 = 3^2

Now, we need to find the coordinate of K; the center point.

K's x is -1 and K's y is also -1.

Our equation is now:

( x - (-1) )^2 + ( y - (-1) )^2 = 3^2

Answer:

Tan B = 15 / 8

Step-by-step explanation:

Giveb the triangle :

The hypotenus :

Using Pythagoras rule :

Hypotenus² = 15² + 8²

Hypotenus² = 225 + 64

Hypotenus = 17

Tan B:

Using the trigonometric relation :

Tan B = opposite / Adjacent

Tan B = 15 / 8

Answer:

A

Step-by-step explanation:

More than $0 but less than $2800

The correct option is (A).

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

Given:

Deandra traded $2800 for Swiss francs.

So, she would have More than $0 but less than $2800.

This is because she will not get the same amount back she has only has more than 0 and less than 2800.

Learn more about data here:

https://brainly.com/question/10980404

#SPJ2

Answer:

A. 18,000in

Step-by-step explanation:

1,500 ×12=18,000

Answer:

12

Step-by-step explanation:

1) 5+19−6(5+1−4)

2)5+19−6(6−4)

3)5+19−(6)(2)

4)5+19−12

5) 5+7

6) 12

Answer:

Step-by-step explanation:

3x^2 -2x -5=0

3x^2 -(5-3)x -5=0

3x^2 -5x +3x -5=0

x(3x -5)+1(3x -5)=0

(x+1)(3x-5)=0

either (x+1)=0           OR, (3x-5)=0

x+1=0

x=0-1

x=-1

3x-5=0

3x=0+5

x=5/3

x=-1, 5/3

Answer:

The approximate percentage of bad bushels was 8.17%.

Step-by-step explanation:

The percentage of bad bushels is given by the average number of bad bushels multiplied by 100 and divided by the average of bushels.

We have that:

Average number of bushels: 246.343

Average number of bad bushels: 20.12

The approximate percentage of bad bushels was

20.12*100%/246.343 = 8.17%

The approximate percentage of bad bushels was 8.17%.

Answer:

(E) 9

Step-by-step explanation:

[tex]\frac{(3^{2008})^2-(3^{2006})^2}{(3^{2007})^2-(3^{2005})^2} = \\\frac{(3^{2007+1})^2-(3^{2007-1})^2}{(3^{2007})^2-(3^{2007-2})^2} = \\\frac{(3^{2007})^2(3^{2}-3^{-2} )}{(3^{2007})^2(1-3^{-4} )} =\\\frac{9-\frac{1}{9} }{1-\frac{1}{81} }=\\\frac{80}{9}:\frac{80}{81} = \\\frac{80}{9}*\frac{81}{80} = \frac{81}{9} = 9[/tex]