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Nadusha1986 [10]
3 years ago
10

An airplane cruises 1 kilometer in 1 12 of a minute. What is its cruising speed?

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

Step-by-step explanation: 12 ur welcome

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natta225 [31]
Use a graphing calculator because it's already in simple form
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TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and
Delicious77 [7]

Answer:

<em>The interior length of the bassinet to ensure that 99 percent of newborn babies will fit   = 1.7 cm</em>

Step-by-step explanation:

<u><em>Explanation:</em></u>-

<em><u>step(i):</u></em>-

Given mean of population = 50 cm  

<em>standard deviation of Population = 5 cm</em>

<em>Given Margin of error = 10 cm</em>

<em>The Margin of error is determined by </em>

<em></em>M.E = \frac{Z_{\alpha } S.D}{\sqrt{n} }<em></em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>Given level of significance ∝ = 99 % or 1 %</em>

Z₀.₀₁ = 2.576

10 = \frac{2.576 X 5}{\sqrt{n} }

\sqrt{n}  = \frac{2.576 X 5}{10}

√n = 1.3

squaring on both sides , we get

<em>n = 1.69≅ 1.7 cm</em>

<u><em> Final answer:</em></u>-

<em>The interior length of the bassinet to ensure that 99 percent of newborn babies will fit   = 1.7 cm</em>

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Answer:

Step-by-step explanation:

a=1

r=-6/1=-6

S_{7}=a\frac{1-r^n}{1-r} =1\frac{1-(-6)^7}{1-(-6)} \\=\frac{1+6^7}{1+6} \\=\frac{1+279936}{7} \\=\frac{279937}{7} \\=39991

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Read 2 more answers
A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling less than 3 properties in one week.

This is

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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

P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0

P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001

P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011

0.0011 = 0.11% probability of selling less than 3 properties in one week.

5 0
3 years ago
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