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AlexFokin [52]
3 years ago
7

Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter exc

ept Z? Write your answer as a fraction or percent rounded to the nearest tenth.
The theoretical probability of choosing a letter other than Z is
Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

for z the fraction value is 1/26 and for other letters then Z is 25/26

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A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
natali 33 [55]

Answer:

9 represents the initial height from which the ball was dropped

Step-by-step explanation:

Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

f(n)=9(0.7)^{n}

The general formula for the geometric progression modelling this scenario is:

f(n)=f_{0}(r)^{n}

Here,

f_{0} represents the initial height i.e. the height from which the object was dropped.

r represents the percentage the object covers with respect to the previous bounce.

Comparing the given scenario with general equation, we can write:

f_{0} = 9

r = 0.7 = 70%

i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.

7 0
3 years ago
PLEASE HELP!! If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ?
dimaraw [331]

M refers to midpoint.

A(9, 8) \\B(-1, -2) \\M(\frac{x_1-x_2}{2}, \frac{y_1-y_2}{2}) \\M(\frac{9-(-1)}{2}, \frac{8-(-2)}{2}) \\M(\frac{10}{2}, \frac{10}{2})\Longrightarrow\boxed{M(5, 5)}

Hope this helps.

r3t40

6 0
3 years ago
-16 + 3n = -8 - 5n what does n equal?
maksim [4K]

Step-by-step explanation:

-16 + 3n = - 8 - 5n

Bringing like terms on one side

3n + 5n = - 8 + 16

8n = 8

n = 8/8

N = 1

5 0
3 years ago
Read 2 more answers
The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of
julia-pushkina [17]

Answer:

180.4~cm^2

Step-by-step explanation:

<u>Surface Area</u>

The surface area of a cylinder of height h and radius r is given by:

A=2\pi rh

It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:

A=2\pi rh+2\pi r^2

The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.

Now we calculate the side area of the can:

A=2\pi (3.25)(8.5)

A=173.6~cm^2

We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:

A_o= 0.8*8.5=6.8~cm^2

The total area of the label is:

A=173.6~cm^2+6.8~cm^2=180.4~cm^2

The area of the label is \mathbf{180.4~cm^2}

5 0
3 years ago
Write a function rule for the table. x ƒ(x) –3 –6 –2 –4 –1 –2 0 0
kogti [31]

Answer:

y=-2x

Step-by-step explanation:

The function has the table:

x          f(x)

-3          -6

-2          -4

-1           -2

0            0

Looking at the table, f(x) deceases by 2 each time. This is a constant rate of change called slope. This is a linear function and its equation can be written using y = mx+b. m = -2. b is the y-intercept for starting point where x = 0. When x=0, the table shows y=0. So b=0.

This means the rule is y = -2x.

4 0
3 years ago
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