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Stolb23 [73]
3 years ago
10

What is the distance between the points plotted below? If necessary, round your answer to two decimal places.

Mathematics
2 answers:
34kurt3 years ago
8 0
(-1,1) (6,9)
distance = root (x1-x2)²+(y1-y2)²
so root (-1-6)²+(1-9)²= root 113 or 10.6 ≈11
the answer is B. 11.18 units
Over [174]3 years ago
4 0
Distance = √(x₂-x₁)² + (y₂-y₁)²
= √(6-1)² + (9-(-1))²
= √5² + 10²
= √25 + 100
= √125
= 11.18 units

In short, Your Answer would be Option B

Hope this helps!
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It is known that 10% of the 9-year old children in a town have three siblings. Fifteen 9-year old children are selected at rando
inn [45]

Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, for the parameters, we consider that:

  • 10% of the 9-year old children in a town have three siblings, hence p = 0.1.
  • Fifteen 9-year old children are selected at random, hence n = 15.

The probability that more than 3 of these selected children have three siblings is given by:

P(X > 3) = 1 - P(X \leq 3)

In which:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059

P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432

P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669

P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445

P(X > 3) = 1 - 0.9445 = 0.0555

0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

More can be learned about the binomial distribution at brainly.com/question/24863377

5 0
1 year ago
HELP PLEASE
Jet001 [13]

Answer:

c $11,751

Step-by-step explanation:

The function that models Alicia's car is

f(x) = 21000(0.93)^{x}

where x represents the number of years since she purchased the car.

We want to find the value of Alicia's car after 8 years.

We substitute x=8 into the formula to get:

f(8) = 21000(0.93)^{8}

f(8) = 21000(0.5596)

f(8) = 11751.218

We round to the nearest dollar to get:

f(8) =11751

The correct answer is C.

5 0
2 years ago
Help me please thankyou
Aloiza [94]

Ask your parents about it if they didn't help you can copy mine,

Well I asked my parents about they told me that around their age there weren't lots of facilities they even rarely saw transportation facilities like cars and bikes there were no proper internet facilities e.t.c

When I said them what were the changes in the last 25 years they said there were drastic changes including social, economic, science, transportation, health e.t.c and many more

4 0
2 years ago
Enzymes : Fish that has been dried in the song keeps longer than wet fish. ​
Nonamiya [84]

Answer:

If the question is fix the sentence than here:

Step-by-step explanation:

A fish that has been dried in the sun lasts longer than a wet fish.

3 0
2 years ago
Find the average rate of change.<br><br> p(x) = 6x + 7 on [2, 2 + h] , h ≠ 0
siniylev [52]

Answer:

6.

Step-by-step explanation:

This is [p(2+h))  - p(2) ] /  ((2 + h - 2)

= [ 6(2) + h) + 7 - (6(2) + 7)] / h

=  (  12 + 6h + 7 - 12 - 7) / h

=  6h / h

= 6.

4 0
3 years ago
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