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Greeley [361]
3 years ago
9

If there is an 80% chance of rain and a 50% chance of wind and rain, what is the probability that it is windy, given that it is

rainy? Round your answer to the nearest percent.
Mathematics
2 answers:
ankoles [38]3 years ago
6 0
If the total probability when given it is rainy is 80% and the windy probability among 80% is 50% the total probability is...

50% / 80% = 62.5% ≈ 63%


Pie3 years ago
5 0

Answer:

The conditional probability that it is windy, given that it is rainy is is 63%.

Step-by-step explanation:

It is given that there is 80% chance of rain, that is P(A)=0.80

50%chance of wind and rain, that is P(A∩B)=0.50

Now, the conditional probability that it is windy, given that it is rainy is:

P(B|A)=\frac{P(A{\cap}B)}{P(A)}

P(B|A)=\frac{0.50}{0.80}

P(B|A)=0.625

Thus, the conditional probability that it is windy, given that it is rainy is is 63%.

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Se va a colocar una escalera que mide 5 metros (m) de longitud sobre una pared. El fabricante de la escalera recomienda que, por
ivolga24 [154]

Answer:

4.9 m

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de seno

sin θ = Opuesto / Hipotenusa

θ = 78 °

Hipotenusa = Longitud de la escalera = 5 m

Opuesto = Distancia sobre el suelo = x

sin 78 = x / 5m

Multiplicar cruzada

x = sin 78 × 5 m

x = 4.8907380037m

Aproximadamente

= 4.9 m

7 0
2 years ago
HOW MUCH IS A GRAM ..../?
azamat
$5 for reg
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4 0
3 years ago
Find the value of x.<br> xo<br> (x-20)<br> (2x + 10)<br> (x + 40)
kykrilka [37]

Answer:

66

Step-by-step explanation:

We can write the following equation to solve

360 = x + (2x + 10) + (x - 20) + (x  + 40)

Reduce

360 = 5x + 30

5x = 330

x = 66

7 0
2 years ago
Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.
Neporo4naja [7]

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = \frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})

                           = \frac{1}{2}(3.14)(10)^2+(40\times 20)

                           = 157 + 800

                           = 957 square feet

8 0
3 years ago
Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu
svetoff [14.1K]

Answer:

  • after week 7: 4374 pennies
  • 486 pennies: after week 5

Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

  an = 6·3^(n-1)

This can be rearranged to ...

  an = 2·3^n

__

When n=7, the value is ...

  a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

__

To find when there are 486 pennies saved, we can solve the equation ...

  486 = 2·3^n

  243 = 3^n

  log(243) = n·log(3) . . . . . . . take the logarithm

  log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

7 0
3 years ago
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