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marin [14]
3 years ago
11

The diagram shows the intersections of several straight roads. The avenues run parallel to each other.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0

Answer:

The answer is B: 226 ft

Step-by-step explanation:

Just did the assignment on edg

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A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib
fenix001 [56]

Answer:   0.03855

Step-by-step explanation:

Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.

Its maximum safe load is 10000 pounds.

Let X denotes the weight of 50 people.

As per given ,

Population mean weight of 50 people = \mu=50\times190=9500\text{ pounds}

Standard deviation of 50 people =\sigma=40\sqrt{50}=40(7.07106781187)=282.84

Then , the probability its maximum safe load will be exceeded =

P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855

Thus , the probability its maximum safe load will be exceeded = 0.03855

3 0
3 years ago
A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl
True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

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.

A service center receives an average of 0.6 customer complaints per hour.

This means that \mu = 0.6h, in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that h = 8, \mu = 0.6(8) = 4.8.

The probability is P(X = 4).

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

P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0
3 years ago
What is the solution for x in the equation (-4(x+1)+7x=8)?
a_sh-v [17]
-4(x + 1) + 7x = 8
-4x - 4 + 7x = 8
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 12/3
x = 4 <===
6 0
3 years ago
I MEEED HELPPP PLEASEEEEEE HELPPPPP PLEASE SOMEONE IM BEGGING UUUUU
Stels [109]

Answer:

x= 10°

Step-by-step explanation:

BWN = BRN (W=R)

56+ (5x-16) +90 =180 {triangle BNW} [angles in a triangle add up to 180] ( properties of a kite)

5x = 180 - (56 + 90 - 16)

5x = 180 - 130

5x = 50

x =50/5

x = 10°

7 0
2 years ago
Mel had some cartons of milk. He sold 2/5 of the cartons in the morning. He then sold 3/4 of the remainder in the afternoon. 24
Yuki888 [10]
Sold 2/5 in the morning.....leaving 3/5
he sold 3/4 of 3/5 in the afternoon......3/4 * 3/5 = 9/20

2/5 = 8/20
9/20 - 8/20 = 1/20...so he sold 1/20 more in the afternoon.
so if 1/20 = 24, then 20/20 = 24*20 = 480

so he started with 480 cartons
4 0
3 years ago
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