How many cubes with a side length of 1/4 unit would it take to make a unit cube? Explain how you determined your answer.

laura compro un microondas por 216.750 y una lavadora 910.350 si le rebajaron 43.350 en la compra y el resto la paga en 15 plazo

Alecsey [184]

RESPUESTA: Paga $72.250 en cada plazo.

7 0

2 years ago

A five-digit number starts with a number between 4-9 in the first position, with no restrictions on the remaining 4 digits. a

Maurinko [17]

Answer:

(a) $Pr = 0.3024$

(b) $Pr = 0.6976$

(c) $Pr = \frac{^9P_{n-1}}{10^{n-1}}$

Step-by-step explanation:

Given

$Start = \{5,6,7,8\}$ i.e. between 4 and 9

$n(Start) =4$

$Digits = 5$

Solving (a): Probability that each of the 5 digit are different

Since there is no restriction;

The total possible selection is as follows:

$First\ digit = 4$ (i.e. any of the 4 start digits)

$Second\ digit = 10\\$ (i.e. any of the 10 digits 0 - 9)

$Third\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

$Fourth\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

$Fifth\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

So, the total is:

$Total = 4 * 10 * 10 * 10 * 10$

$Total = 40000$

For selection that all digits are different, the selection is:

$First\ digit = 4$ (i.e. any of the 4 start digits)

$Second\ digit = 9$ (i.e. any of the remaining 9)

$Third\ digit = 8$ (i.e. any of the remaining 8)

$Fourth\ digit = 7$ (i.e. any of the remaining 7)

$Fifth\ digit = 6$ (i.e. any of the remaining 6)

So:

$Selection =4 * 9 * 8 * 7 * 6$

$Selection =12096$

So, the probability is:

$Pr = \frac{Selection}{Total}$

$Pr = \frac{12096}{40000}$

$Pr = 0.3024$

Solving (b): At least 1 repeated digit

The probability calculated in (a) is the all digits are different i.e. P(None)

So, using laws of complement

We have:

$P(At\ least\ 1) = 1 - P(None)$

So, we have:

$Pr= 1 - 0.3024$

$Pr = 0.6976$

Solving (c): An expression to model the probability.

<em>Using (a) as a point of reference, we have;</em>

$Pr = \frac{Selection}{Total}$

Where

$Selection =4 * 9 * 8 * 7 * 6$ ---- for selection of 5 i.e. n = 5

$Total = 4 * 10 * 10 * 10 * 10$

$Selection =4 * 9 * 8 * 7 * 6$

This can be rewritten as:

$Selection = 4 * ^9P_4$

4 can be expressed as: 5 - 1

So, we have:

$Selection = (5-1) *^9P_{5-1}$

Substitute n for 5

$Selection = (n-1) *^9P_{n-1}$

$Selection = (n-1)^9P_{n-1}$

$Total = 4 * 10 * 10 * 10 * 10$

This can be rewritten as:

$Total = 4 * 10^4$

$Total = (5-1) * 10^{5-1}$

$Total = (n-1) * 10^{n-1}$

$Total = (n-1) 10^{n-1}$

So, the expression is:

$Pr = \frac{(n-1)^9P_{n-1}}{(n-1)10^{n-1}}$

$Pr = \frac{^9P_{n-1}}{10^{n-1}}$

<em>Where n represents the digit number</em>

5 0

3 years ago

Find X if m/_ UVH=50°, m/_HVW=25x-5, and m/_ UVW = 35x-5.

ra1l [238]

Step-by-step explanation:

first you have to solve for x

35x - 5=50

35-35x-5= 50-35

x-5=15

x- 5÷5=15÷5

x=3

Now we have to substitute x into the equation.

35×(3)-5=

175-5=170

angle UVW= 170

to find angle HUW instead of solving the equation just subtract 170 from 50 and you will get 120.

angle UVH=50

angle HUW=120

angle UVW=170

I hope this helps srry it took so long but gn and gl.

7 0

2 years ago

The figure represents the shape of a kitchen floor. What is the area? (round to the nearest hundredth)

Murljashka [212]

We would divide the shape into a rectangle and a trapezium

The rectangle is of length, 24.5 ft and width 10.75 ft

Area = 24.5 * 10.75 = 263.375 square feet.

Trapezium : Parallel sides are 18.5 ft and 24.5 ft
Height: 12 - 10.75 = 1.25ft

Area of Trapezium = (1/2)*(Sum of Parallel sides)*height

= 1/2 * (18.5+24.5)* 1.25
= 1/2 * 43* 1.25 = 26.875

Total Area = Area of Rectangle + Area of Trapezium

= 263.375 + 26.875 = 290.25

Area = 290.25 ft² (D)

5 0

3 years ago

Read 2 more answers

Why is a cow a consumer?

Elza [17]

Answer:

A cow is a consumer because it Can not produce it's own food.

Step-by-step explanation:

Hope this helps!

3 0

3 years ago

Read 2 more answers