What percent of 130 is 45.5?

Mathematics

1 answer:

docker41 [41]4 years ago

5 0

Step-by-step explanation:

45.5 percent *130 =

(45.5:100)*130 =

(45.5*130):100 =

5915:100 = 59.15

Now we have: 45.5 percent of 130 = 59.15

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The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

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Answer with Step-by-step explanation:

Since the given event is binary we can use Bernoulli's probability to sove the problem

Thus for an event 'E' with probability of success 'p' the probability that the event occurs 'r' times in 'n' trails is given by

$P(E)=\frac{n!}{(n-r)!\cdot r!}\cdot p^{r}\cdot (1-p)^{n-r}$

Part a)

For part a n = 11 , r =9, p = 0.75

Applying values we get

$P(E)=\frac{11!}{(11-9)!\cdot 9!}\cdot (0.75)^{9}\cdot (1-0.75)^{11-9}\\\\\therefore P(E)=0.2581$

Part b)

For part b n = 20 , r = 16 , p=0.75

Applying values we get

$P(E)=\frac{20!}{(20-16)!\cdot 16!}\cdot (0.75)^{16}\cdot (1-0.75)^{20-16}\\\\\therefore P(E)=0.1896$

3 0

4 years ago

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

san4es73 [151]

The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus $5\sqrt{3}$ . A whole side of the triangle is $10\sqrt{3}$ . Multiply that by 3 to get the perimeter of <span> $30\sqrt{3}$ .</span>