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3 years ago

You role a six-sided die. The P(4 or 7) is

Mathematics

1 answer:

cestrela7 [59]3 years ago

7 0

Answer:

Well, there is only a 1/6 since 7 is not included in a six dided ''die''

Step-by-step explanation:

You might be interested in

Name a point that is 2 away from (-1,5).

pashok25 [27]

Answer:[7,2]

Step-by-step explanation:

3 0

3 years ago

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the

expeople1 [14]

The probability that one of each color is selected is $\frac{10x - x^2}{45}$

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

Total = 10
Red = x
Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

$P = P(Blue) \times P(Red) + P(Red) \times P(Blue)$

So, we have:

$P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}$

This gives

$P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}$

Take LCM

$P = \frac{2x(10 - x)}{90}$

Simplify the above expression

$P = \frac{x(10 - x)}{45}$

Expand

$P = \frac{10x - x^2}{45}$

Hence, the probability that one of each color is selected is $P = \frac{10x - x^2}{45}$

Read more about probabilities at:

brainly.com/question/7965468

4 0

3 years ago

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously. Natalie invested $3

Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

A = P(1 + r/n)^nt

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0

3 years ago

A packed box that is being shipped will be weighed in order to calculate the correct postage needed. The total weight of a packe

ivolga24 [154]

Answer:

Step-by-step explanation:

Total Weight of the package = weight of product + weight of box

Weight of empty box =0.88lb

Total weight of the box is =7.24lb

Let Weight of product inside box=w

Let wet of empty box =y

Total weight = F

Then,

F=y+w

Since F=7.24lb. y=0.88

Then, w=F-y

w=7.24-0.88

w=6.36lb

The weight of the product is 6.36lb

5 0

3 years ago

Please give the actual answer if you choose to anwser

zlopas [31]

9514 1404 393

Answer:

C. 78°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

(7x-6)° +(4x+11)° +43° = 180°

11x +48 = 180 . . . . . divide by °, simplify

11x = 132 . . . . . . . subtract 48

x = 12 . . . . . . . divide by 11

Then the measure of angle T is ...

∠T = (7x -6)° = (7(12) -6)°

∠T = 78°

6 0

3 years ago