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3 years ago

7

A miniature golf course recently provided its customers with 6 golf balls, of which 3 were blue. What is the experimental probab

ility that the next customer will receive a blue golf ball?

1 answer:

Schach [20]3 years ago

5 0

The next probable answer is 1:2

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Find the slope of the line through the pair of points a (2,-3) p(2,9)

Katarina [22]

(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)

To determine the slope using two points lie on the line, we could use the following formula
m = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

plug in the numbers
m = $\dfrac{9-(-3)}{2-2}$
m = $\dfrac{9+3}{0}$
m = $\dfrac{12}{0}$
m = undefined

The slope is undefined, the line is vertical

6 0

4 years ago

Please please help me

Studentka2010 [4]

Answer:

?=38

average rate of change =3 (on the way they partitioned the x's)

Step-by-step explanation:

This is a line because it has the same rise/run ( $\frac{y_2-y_1}{x_2-x_1}$ ) per pair of points.

That is, the following are equal:

$\frac{17-5}{2-(-2)}=\frac{26-17}{5-2}$

$\frac{12}{4}=\frac{9}{3}$

$3=3$

The slope (also called the rate of change) is 3.

This means the calculating of the last pair of points should have the same rise/run.

That is we should have:

$\frac{?-26}{9-5}=3$

$\frac{?-26}{4}=3$

Multiply both sides by 4:

$?-26=12$

Add 26 on both sides:

$?=12+26$

$?=38$

5 0

4 years ago

A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th

Nikolay [14]

The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

<em><u>The area of rectangle is given as:</u></em>

$\text {Area of rectangle }=\text { length } \times \text { width }$

Substituting the values we get,

$\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}$

On solving the above quadratic equation using quadratic formula,

$\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}$

Substituting in above quadratic formula,

$\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}$

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

8 0

4 years ago

Given the line 2 x - 3 y - 5 = 0, find the slope of a line that is perpendicular to this line. A.3/2

Sliva [168]

Answer:

Step-by-step explanation:

2x - 3y = 5

-3y = -2x + 5

y = (2/3)x - 5

the perpendicular slope is -3/2

the answer is c

3 0

4 years ago

Read 2 more answers

Send help...I know what to do but like...

AleksAgata [21]

Answer:

a=-4,000m+39,000

Step-by-step explanation:

substitute the 4 in for m to do -4000 x 4 = -16000

-16000+39000 = 23000

6 0

2 years ago