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3 years ago

(-2 1/3 to the third power) divided by (1 7/8)

Mathematics

2 answers:

Brums [2.3K]3 years ago

6 0

Answer:

-6 314/405

Step-by-step explanation:

( -2 1/3)^3 / (1 7/8)

I am going to change the mixed numbers to improper fractions

2 1/3 = (3*2 +1)/3 = 7/3

1 7/8 = (8*1+7)/8 = 15/8

( -7/3)^3 / (15/8)

I will use copy dot flip

( -7/3)^3 * (8/15)

Now I can split the first term into parts (a/b)^x = a^x/ b^x

(-7)^3/ 3^3 *8/15

-343/27 * 8/15

-2744/405

Now we need to change it back to a mixed number

405 goes into 2744 6 times

6*405 =2430 2744-2430 = 314

-6 314/405

yuradex [85]3 years ago

4 0

Answer:

-2744/405

Step-by-step explanation:

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2 years ago

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Answer:
10

Explanation:
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2 years ago

ABC ≃DEF. Find the lengths of the given sides

GuDViN [60]

Answer:

BC = 8 and EF = 8.

Step-by-step explanation:

Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).

Set BC and EF equal to each other.

x + 6 = 3x + 2

Subtract x from both sides.

6 = 2x + 2

Subtract 2 from both sides.

4 = 2x.

Divide 2 on both sides.

x = 2.

Substitute 2 for x.

BC = 2 + 6

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Since we already know that EF is congruent to BC, EF is also 8.

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2 years ago

Si elegimos un día de la semana al azar, ¿qué probabilidad hay de que sea fin de semana (ya sabemos que hay dos días…)?

irga5000 [103]

Answer:

La probabilidad que hay de que sea fin de semana es $\frac{2}{7}$

Step-by-step explanation:

La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.

$P(A)=\frac{numero de casos favorables}{numero de casos posibles}$

En este caso:

número de casos favorables: 2 (cantidad de días del fin de semana)
número de casos posibles: 7 (cantidad de días totales en la semana)

Reemplazando:

P(A)= $\frac{2}{7}$

La probabilidad que hay de que sea fin de semana es $\frac{2}{7}$

3 0

3 years ago