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aliya0001 [1]
3 years ago
6

The unshaded trapezoid is the image of the shaded trapezoid after a series of transformations.

Mathematics
2 answers:
almond37 [142]3 years ago
8 0

Answer:

c

Step-by-step explanation:

have a wonderful day/night

fun fact goats are fun animals

Vlada [557]3 years ago
7 0
The value of x is 12
You might be interested in
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 mi
lara [203]

Answer:

a) 33.33%)

b) 135 minutes

c) 8.66 min

d) 50%

Step-by-step explanation:

a) the probability for a uniform distribution is

P(b<X<a) = (a-b)/(c-d) , where c and d are the maximum and minimum values

therefore the probability that the flight is more than 140 minutes ( and less than 150 since it is the maximum value)

P(140<X<150) = (a-b)/(c-d) = (150-140)/(150-120) = 10/30 = 1/3 (33.33%)

b) the mean (expected value) for a uniform probability distribution is

E(X) = (c+d)/2 = (120+150)/2 = 135 minutes

c)  the standard deviation for a uniform probability distribution is

σ²(X)= (c-d)²/12 = (150-120)²/12 = 75 min²

σ = √75 min² = 8.66 min

b) following the same procedure as in a)

P(120<X<135) = (a-b)/(c-d) = (135-120)/(150-120) = 15/30 = 1/2 (50%)

4 0
3 years ago
Writing lan's car can go 180 miles on 5 gallons of gas. During a drive last weekend, lan used
MrRissso [65]

Answer:

288 miles

If we have the distance, we divide by 36 instead to find how many gallons of gas he used.

Step-by-step explanation:

180/5=36 miles per gallon

8 gallonsx36 miles per gallon=288 miles

pls mark brainliest

6 0
3 years ago
Dr.Lee's dentist practices is open for 7 hours each day. His receptionist schedules appointments, allowing 1/2 hour for a cleani
Maurinko [17]

Step-by-step explanation:

Below is an attachment containing the solution.

4 0
3 years ago
A baseball player gets 7 hits in the first 15 games of the season. if he continues hitting at the same rate, how many hits will
inessss [21]
Hey there,
15 games = 7 hits
1 game = 7 / 15
             = <span>0.46666666666
45 games = </span><span>0.46666666666 x 45
                 = 21

Hope this helps :))

<em>~Top♥</em>
</span>
3 0
3 years ago
The Resource Conservation and Recovery Act mandates the tracking and disposal of hazardous waste produced at U.S. facilities. Pr
aniked [119]

Answer:

(a) E(X) =  0.383

The expected number in the sample that treats hazardous waste on-site is 0.383.

(b) P(x = 4) = 0.000169

There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Step-by-step explanation:

Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.

N = 209

Only eight of these facilities treated hazardous waste on-site.

r = 8

a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?

n = 10

The expected number in the sample that treats hazardous waste on-site is given by

$ E(X) =  \frac{n \times r}{N} $

$ E(X) =  \frac{10 \times 8}{209} $

$ E(X) =  \frac{80}{209} $

E(X) =  0.383

Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.

b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site

The probability is given by

$ P(x = 4) =  \frac{\binom{r}{x} \binom{N - r}{n - x}}{\binom{N}{n}} $

For the given case, we have

N = 209

n = 10

r = 8

x = 4

$ P(x = 4) =  \frac{\binom{8}{4} \binom{209 - 8}{10 - 4}}{\binom{209}{10}} $

$ P(x = 4) =  \frac{\binom{8}{4} \binom{201}{6}}{\binom{209}{10}} $

$ P(x = 4) =  \frac{70 \times 84944276340}{35216131179263320}

P(x = 4) = 0.000169

Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

8 0
3 years ago
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