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one digit from the number 9,484,558 is written on each of seven cards. what is the probability of drawing a card that shows 5?

Diano4ka-milaya [45]

Possibility or highly chances are that the five is going to get pulled because there are two of the fives and five isn't rare, so from the number 9,484,558 the number that would possibly be picked is one of the fives because there are two of the fives and five isn't rare if there is two of them, so the digit that would probably be pulled is one of the fives

4 0

3 years ago

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

marin [14]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice-cream cone.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2 h$ , where

r = Radius of cone,

h = Height of cone.

We know that diameter is two times the radius, so radius will be half of diameter that is $r=\frac{7}{2}$ .

$V=\frac{1}{3}\pi\cdot (\frac{7}{2})^2\cdot 10$

$V=\frac{1}{3}\pi\cdot (\frac{49}{4})\cdot 10$

$V=128.2817$

$V\approx 128.3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

6 0

3 years ago

Carl drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increme

Fynjy0 [20]

Option B: $y=\frac{7}{5} x+1$ is the line of best fit in slope - intercept form

Explanation:

It is given that the straight line joins the ordered pairs $(0,1)$ and $(10,15)$

We need to determine the line of best fit in slope - intercept form.

The equation of the line of best fit in slope - intercept form is given by

$y=mx+b$

where m is the slope and b is the y - intercept

The slope can be determined by substituting the points $(0,1)$ and $(10,15)$ in the formula,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{15-1}{10-0}$

$m=\frac{14}{10}$

$m=\frac{7}{5}$

Thus, the slope is $m=\frac{7}{5}$

The y - intercept is the value of y when the value of the x - coordinate is zero.

Thus, from the ordered pair $(0,1)$ , the y -intercept of the graph is $b=1$

Substituting the slope and the y - intercept in the equation $y=mx+b$ , we get,

$y=\frac{7}{5} x+1$

Thus, the equation of line of best fit in slope - intercept form is $y=\frac{7}{5} x+1$

Hence, Option B is the correct answer.

6 0

3 years ago

A person can order a new car with a choice of 9 possible colors, with or without air conditioning, with or without an automati

Novosadov [1.4K]

Answer:288

Step-by-step explanation:

6 0

4 years ago

A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold 20 Douglas Fir trees and 23 Noble Fi

Katarina [22]

Answer:

The cost of 1 Douglas Fir Tree = $30

The cost of 1 Noble Fir Tree = $ 79

Step-by-step explanation:

Let the cost of 1 Douglas Fir tree = $ x

Let the cost of 1 Noble Fir tree = $ y

Total Amount Earned in morning = $2,417

Total Amount Earned in evening = $2,022

Now, according to the question:

20 x + 23 y = 2417

and 20 x + 18 y = 2022

Subtraction both equation , we get

20 x + 23 y - (20 x + 23 y) = 2417 - 2022

or, 20x - 20x + 23 y - 18 y = 395

or, 5 y = 395

⇒ y = 395 / 5 = 79

Hence, the cost of 1 Noble Fir Tree = $ 79

Now, put the value of y in 20 x + 23 y = 2417 , we get

20x + 23(79) = 2417

or, 20x = 2417 - 1817 = 600

or, x = 600/20 = 30

Hence, the cost of 1 Douglas Fir Tree = $30

7 0

3 years ago