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Alexeev081 [22]
3 years ago
14

single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec

ond time.
Mathematics
1 answer:
givi [52]3 years ago
6 0

Answer:

\frac{1}{4}

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

a) Rolling an Odd number in first throw

A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

So, total number of possible outcomes = 6

Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = \frac{3}{6} = \frac{1}{2}

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 =  \frac{3}{6} = \frac{1}{2}

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}

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Cesar comenta que su papa esta interesado en comprar un terreno o vivienda.En estos tiempos de cuarentena su padre ha aprendido
quester [9]

Answer:

El área de la casa es de 1,304 m²

Step-by-step explanation:

De las dimensiones dadas en línea, tenemos que el área del jardín = 640 m²

Las dimensiones del jardín son;

Longitud = 40 m.

Ancho = a m

Por lo tanto, 40 × a = 640

a = 640/40 = 16 m

La dimensión del compuesto es así;

Longitud = 40 + 14 = 54 m

Ancho = 20 + a = 20 + 16 = 36 m

El área del compuesto = Área de la casa + Área del jardín

El área del compuesto = Ancho del compuesto × Longitud del compuesto

El área del compuesto = 36 × 54 = 1,944 m²

∴ 1,944 m² = Área de la casa + Área del jardín

1,944 m² = Área de la casa + 640 m²

Área de la casa = 1,944 m² - 640 m² = 1,304 m²

El área de la casa = 1,304 m².

3 0
2 years ago
An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th
Irina-Kira [14]
Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by 8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h

Area of the four side faces of the aquarium is 4 times the length of the base times the height = 4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}

Total area to be covered by grass is the base and the four side faces and is given by \frac{20}{h}+\sqrt{320h}

Cost of the entire metal frame = 7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h

Cost of the entire grass = 8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h

Therefore, total cost in terms of the height, h, is given by

C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h
3 0
3 years ago
671 ÷24showing work please and thank you
telo118 [61]

Answer: 27.958333333333333333333333333333........

Step-by-step explanation: Use long division method or do rounding method round each number and divide.

6 0
3 years ago
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Based on the box-and-whisker plot shown below, match each term with the correct value.
Katena32 [7]

Answer:

The table shows values for Variable A and Variable B.

Variable A 1 5 2 7 8 1 3 7 6 6 2 9 7 5 2

Variable B 18 22 19 7 24 16 17 20 20 23 17 25 21 18 15

Use the data from the table to create a scatter plot.

Step-by-step explanation:

4 0
3 years ago
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AveGali [126]

Answer:

true

Step-by-step explanation:

-3ab+4ac-2ad=-3ab + 4ac-2ad

-3ab+3ab +4ac-4ac-2ad+2ad=0

0=0.

so,it is true

8 0
3 years ago
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