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Kobotan [32]
3 years ago
15

A​ four-year study of various brands of bottled water found that 25​% of bottled water is just tap water packaged in a bottle. C

onsider a sample of sevenseven ​bottled-water brands, and let x equal the number of these brands that use tap water. Complete parts a through d.
a. Is x​ (approximately) a binomial random​ variable?
b. Give the probability distribution for x as a formula.
c. Find p(x = 2).
d. Find P(x <= 1).
Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

Answers below

Step-by-step explanation:

a. Is x​ (approximately) a binomial random​ variable?

b. Give the probability distribution for x as a formula.

c. Find p(x = 2).

d. Find P(x <= 1).

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3. Vocabulary Suppose △MNP ∼△RST. How can you identify corresponding parts?
MakcuM [25]

Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.

<u>(3) Corresponding sides of △MNP and △RST</u>

Given that △MNP ∼△RST.

This means that, the corresponding sides are:

  • MN and RS
  • MP and RT
  • NP and ST

<u>(4) The equal measures</u>

Given that △ABC ∼△TUV

This means that, the corresponding angles are equal, but corresponding sides are not.

So, the equal measures are:

  • (a). the measures of ∠A and ∠T
  • (c). the ratios of the sides BC/UV and AC/TV

The unequal measure is:

  • (b). the perimeters of the two triangles

<u>(c) Scale mapping</u>

The scale mapping is given as:

Ratio = 1\ in : 100\ mi

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.

Take for instance, 5 inches would represent 500 miles.

500 is 5 times 100

Hence, the actual distance between two towns 100 times the map distance between the two towns

Read more about similar triangles at:

brainly.com/question/14285697

3 0
2 years ago
An airplane flies 2700 miles in 3 hours and 45 minutes. What is its average speed in miles per hour?
fenix001 [56]

Answer:

720 MPH

Step-by-step explanation:

2700 miles / 3.75 hours = 720 MPH

6 0
3 years ago
Read 2 more answers
Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the
docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let x be the miles in the circular park path, t_{L} the time Louisa takes to finish and t_{C} the time Calvin takes to finish both in hours.

Then x, the longitude is equal to the velocity times the time used to finish. So

x=5t_{L}

x=6t_{C}

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

t_{C}=t_{L}-0.5

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

5t_{L}=6t_{C}

In this last equation replace t_{C}  with the other equation and solve:

5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3

With Louisa's time find x:

x=5t_{L}\\ x=5(3)\\ x=15

7 0
2 years ago
How many groups of 1 2/3 are in 4 1/3
Olegator [25]

Answer:

2. can not be 3 bc it would 5

Step-by-step explanation:

3 0
2 years ago
3. Find the value of a and b when<br>5+√6/5-√6 = a+b√6​
mr Goodwill [35]

The answer for A is,

a = 5 +  \frac{ \sqrt{6} }{ \sqrt{5} }  -  \sqrt{6}  -  \sqrt{6b}

And the answer for B is,

b = - 1 +  \frac{5 +  \frac{ \sqrt{6} }{ \sqrt{5} } - a  }{  \sqrt{6} }

hope it helps.

sorry of its wrong.

4 0
3 years ago
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