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Aleksandr [31]
3 years ago
7

There are 4 different parts aligned for each housing. Align the 4 parts in the correct order. Find the probability that all 4 ar

e aligned correctly.
Mathematics
1 answer:
Molodets [167]3 years ago
7 0
So there are 4 slots and 4 options for the first slot, 3 for the second slot, and so on. There is a total of 24 options. Since you want a specific order, it's 1/24. (the option you want/total options)
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6. Mark has $1000 in a savings account and withdraws $55 per week. Patricia has $800 in savings and
emmainna [20.7K]

Hey there! I'm happy to help!

Let's call the number of weeks w. Since we want their balances, to be equal, we can create an equation.

1000-55w=800-30w

Now we solve for w. We add 30w to both sides.

1000-25w=800

Subtract 1000 from both sides.

-25w=-200

Divide both sides by -25.

w=8

Therefore, Mark and Patricia will have the same amount of money in their savings accounts after 8 weeks.

Have a wonderful day! :D

8 0
3 years ago
Consider the probability statements regarding events A and B below. What is
vova2212 [387]

Answer: 0.25

Step-by-step explanation:

3 0
3 years ago
Find the exact length of the curve. x = 1 + 6t2, y = 4 + 4t3, 0 ≤ t ≤ 3
vovangra [49]

x=1+6t^2\implies\dfrac{\mathrm dx}{\mathrm dt}=12t

y=4+4t^3\implies\dfrac{\mathrm dy}{\mathrm dt}=12t^2

The length of the curve C is given by

\displaystyle\int_C\mathrm ds=\int_0^3\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

=\displaystyle\int_0^3\sqrt{144t^2+144t^4}\,\mathrm dt

=\displaystyle12\int_0^3t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3 2t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3\sqrt{1+t^2}\,\mathrm d(1+t^2)

=6\cdot\dfrac23(1+t^2)^{3/2}\bigg|_0^3

=4(10^{3/2}-1)

=40\sqrt{10}-4

8 0
3 years ago
Una nadadora entrenó todos los días durante 21días. El primer día nadó 15 minutos, y cada día nadaba 5 minutos más que el día an
nadya68 [22]

Responder:

1 hora 55 minutos; 22 horas 45 minutos

Explicación paso a paso:

Dado que:

Tiempo el primer día = 15 minutos

Minutos adicionales cada día siguiente = 5 minutos

Número total de días

Usando la fórmula del enésimo término de una progresión aritmética:

Tn = A + (n - 1) d

A = primer trimestre = 15

d = diferencia común = 5

n = enésimo término

Tiempo de nado el último día (n = 21)

T21 = 15 + (21 - 1) 5

T21 = 15 + 20 * 5

T21 = 15 + 100

T21 = 115 minutos

= 1 hora 55 minutos

SEGUNDO.)

Suma de minutos durante las 3 semanas

Suma de n términos:

Sn = n / 2 * (primer término + último término)

Primer término = 15

Último trimestre = a21 = 115 minutos

n = número de términos = 21

Por lo tanto,

Sn = 21/2 * (15 + 115)

Sn = 10,5 * (130)

Sn = 1365 minutos

= 22 horas 45 minutos

3 0
3 years ago
What is the common difference in this sequence 4,13,22,31,40<br>A) 9<br>B) 1/9<br>C) 11<br>D) 10​
tatiyna

Answer:

The common difference is (a.): 9, as you add 9 in order to get to the next number in the sequence each time.

+if this helped you, please consider marking it the Brainliest. thank you.

5 0
3 years ago
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