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3 years ago

11

the weight of and elephant is 10,000 time the weight of a cat. If the elephant weighs 14,000 pounds, how many pounds does the ca

t weigh?

1 answer:

schepotkina [342]3 years ago

3 0

Easy, the cat weighs 1.4 pounds :)

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According to the MIT Airline Data Project, American Airlines controlled 15.5% of the domestic market during a recent year. A ran

Naya [18.7K]

Answer:

0.0143

Step-by-step explanation:

In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.

We proceed as follows;

The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155

Let’s call this probability p

The probability that he/she isn’t on the flight, let’s call this q

q =1 - p= 0.845

Sample size, n = 155

P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = np

= 125 x 0.155

= 19.375

Standard deviation = √npq

= √ (125 x 0.155x 0.845)

= 4.0462

P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)

= P(Z < (10.5 - 19.375)/4.0462)

= P(Z < -2.19)

= 0.0143

4 0

3 years ago

Read 2 more answers

Consider the problem $minimize$ $f(x)=x^4-1$. solve this problem using newton's method. start from $x_0=4$ and perform three ite

stellarik [79]

F(x)=x⁴-1
f'(x)=4x³
Newton’s Method: x[n+1]=x[n]-f(x[n])/f'(x[n]); x[n+1]=x[n]-(x[n]⁴-1)/4x[n]³
x₁=3.00390625
x₂=2.26215...
x₃=1.7182...

X'=X-(X⁴-1)/4X³=X-X/4+1/4X³ is a symbolic way of writing the recursive formula, where X' represents the next iteration.
When X'≈X, -X/4+1/4X³≈0; so X/4≈1/4X³; X≈1/X³, so X⁴≈1 and X⁴-1≈0. But this is f(x)≈0. Hence Newton’s Method converges to a solution.
The rate of change is x[n+1]-x[n]=-(x[n]⁴-1)/4x[n]³=x[n]/4-1/4x[n]³ or symbolically -X/4+1/4X³.
Note that the method converges to one solution. A different x₀ will possibly converge to the solution x=-1.

5 0

3 years ago

A farmer has a truckload of watermelons to take to market. At the beginning of the trip, the watermelons weigh 1000 kg. 99% of t

Mariulka [41]

Answer:

The weight of watermelon at the end of the trip is <u>500 kg.</u>

Step-by-step explanation:

Given:

The weight of watermelons is 1000kg.

At the beginning of the trip watermelon is 99% of the weight:

99% of 1000kg

$\frac{99}{100}\times 1000$

$=0.99\times 1000$

$= 990$ kg

Now, at the end of the trip it is 98% of weight. So, let $x$ kg of water has been evaporated. So, remaining weight of the watermelon is $1000-x$ .

If $x$ kg of water is removed, then the amount of water left is $990-x$ .

As per question, water now weighs 98% of the total weight. So,

98% of ( $1000-x$ ) = $990-x$

$\frac{98}{100}\times (1000-x)=990-x$

$980-0.98x=990-x$

$-0.98x+x=990-980$ (Bringing like terms on one side)

$0.02x=10\\x=\frac{10}{0.02}=500\ kg$

Therefore, the weight of watermelon at the end of the trip is given as:

Weight = $1000 - x$ = 1000 - 500 = 500 kg

Therefore, the watermelon weighs 500 kg at the end of trip.

7 0

3 years ago

Read 2 more answers

Use Pythagorean theorem to find right triangle si

zimovet [89]

Answer:

i do not know

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Gym A charges a new member fee of $65 and $20 per month Gym B charges a new member fee of $25 and $35 per month but you get a di

Vinvika [58]

Answer: it will take 5 months for both gyms to cost the same.

Step-by-step explanation:

Let x represent the number of months for which the total cost of gyms are the same.

Gym A charges a new member fee of $65 and $20 per month. This means that the cost of using gym A for x months would be

20x + 65

Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly.

20% of 35 is 20/100 × 35 = 7

The monthly charge would be

35 - 7 = 28

This means that the cost of using gym A for x months would be

28x + 25

The number of months that it will take for the cost of both gyms to be the same would be

20x + 65 = 28x + 25

28x - 20x = 65 - 25

8x = 40

x = 40/8 = 5

4 0

3 years ago