What is the place the 8 is in in the number 38,341,097.54

Help❗️❗️❗️❗️❗️The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132 units.

yarga [219]

Answer:

The answer is D.

Step-by-step explanation:

She forgot to find the square root of 7225.

4 0

2 years ago

Read 2 more answers

In a particular triathlon the athletes cover 1/24 of the total distance by

pav-90 [236]

Answer:

15/8

Step-by-step explanation:

Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).

d = s + r + b [1]

1/24 of the total distance is covered by swimming.

s = 1/24 d [2]

1/3 of the distance is covered by running.

r = 1/3 d [3]

If we replace [2] and [3] in [1], we get

d = 1/24 d + 1/3 d + b

b = d - 1/24 d - 1/3 d

b = 24/24 d - 1/24 d - 8/24 d

b = 15/24 d = 5/8 d

The ratio of the distance covered by bike to the distance covered by running is:

b/r = (5/8 d)/(1/3 d) = 15/8

5 0

2 years ago

Factor each polynomial<br> 4z^2+4z-15

Mkey [24]

Answer:

(2z + 5)(2z - 3)

Step-by-step explanation:

4z² + 4z - 15

4z² + 10z - 6z - 15

2z (2z + 5) - 3 (2z + 5)

(2z + 5)(2z - 3)

7 0

1 year ago

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For a segment of a radio show, a disc jockey can play 6 records. If there are 11 records to select from, in how many ways can

saul85 [17]

Answer:

The records can be select in 332,640 ways.

Step-by-step explanation:

Consider the provided information.

There are 11 records to select from and a disc jokey can play 6 records.

Here, we need to find the number of permutation of n = 11 records taken r = 6 at a time.

Use the formula: $^nP_r=\frac{n!}{(n-r)!}$

Substitute the respective values in the above formula.

$^{11}P_6=\frac{11!}{(11-6)!}$

$^{11}P_6=\frac{11!}{5!}$

$^{11}P_6=\frac{5!\times6\times7\times8\times9\times10\times11}{5!}$

$^{11}P_6=332640$

Hence, the records can be select in 332,640 ways.

8 0

3 years ago

You work with the office of city planning which is currently evaluating a new contract for a major highway. The chosen contracto

Ipatiy [6.2K]

Answer:

0.5488 = 54.88% probability that there are no defects in the completed highway.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

The portion of highway that your city is building is 30 miles long.

The mean is one defect per 50 miles. Since the highway is 30 miles, we have that:

$\mu = \frac{30}{50} = 0.6$

What is the probability that there are no (0) defects in the completed highway?

This is P(X = 0). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488$

0.5488 = 54.88% probability that there are no defects in the completed highway.

7 0

2 years ago