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Natalka [10]
3 years ago
14

Birth weights are normally distributed with a mean of 3419 g and a standard deviation of 494 g. If a hospital plans to set up sp

ecial attention to the lightest 2% of babies, what weight is used for the cut-off separating the lightest 2% from the others?
Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0
Let X represent a random variable representing the birth weights of babies, and let x be the required cut-off, then
P(X < x) = 0.02
P(z < (x - 3419)/494) = 0.02
1 - P(z < (3419 - x)/494) = 0.02
P(z < (3419 - x)/494) = 1 - 0.02 = 0.98
(3419 - x)/469 = 2.04
3419 - x = 956.76
x = 3419 - 956.76 = 2462.24

Therefore, the weight to be used as cut-off is 2462.24 g
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Answer:

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Step-by-step explanation:

since it's 1 to 20 you multiply 35×20 and you get 700

7 0
3 years ago
ThreeThree friends board an airliner just before departure time. There are only 1010 seats​ left, 44 of which are aisle seats. H
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Answer:

Na = 720 - 120 = 600 ways

The 3 people can arrange themselves in 600 possible ways.

Step-by-step explanation:

For at least one of the three friends to seat on an aisle seat, the number of possible arrangements can be given as;

Na = Nt - Nn .....1

Where;

Na = number of possible arrangements with at least one of the seating on an aisle seat.

Nt = total number of possible arrangements for the three friends

Nn = number of possible arrangements with none of the three friends seating on an aisle seat.

Given;

Total number of seats available = 10

Total number of aisle seats available = 4

Total number of people = 3

So;

Nt = 10C3 = 10×9×8 = 720

Nn = (10-4)C3 = 6C3 = 6×5×4 = 120

From equation 1;

Na = 720 - 120 = 600 ways

The 3 people can arrange themselves in 600 possible ways.

5 0
4 years ago
A spinner with equal sections numbered from 1 to 5 is spun twice. Raul is finding the probability that both spins will result in
enyata [817]

Answer:

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5 0
3 years ago
4-Fui al supermercado y había un descuento del 15% en el total de la compra, si pagaba en efectivo. Gasté $ 2.400. ¿Qué cantidad
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Answer:

$2.040

Step-by-step explanation:

Para calcular la cantidad que fue abonada en realidad, debes encontrar el valor del descuento calculando el 15% del valor total de la compra y este resultado se debe restar del total:

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De acuerdo a esto, la cantidad abonada en realidad es: $2.040.

6 0
3 years ago
Sally's cat is stuck in a tree 18 ft off the ground. The base of a ladder is placed 6 feet away from the base of the tree. What
djyliett [7]
If you aren't familiar with the Pythagorean Theorem, I suggest you learn about it.   http://www.1728.org/pythgorn.htm
Looking ay my graphic, you see that the tree, the ladder and the 6 foot space on the ground form a right triangle.  In a right triangle the longest side is called the hypotenuse. (the ladder).
The Pythagorean Theorem states that
the hypotenuse squared = one side squared + the other side squared.
So the ladder length squared = 18 foot tree squared + 6 fee squared
That's easier to state with numbers.
ladder length squared = 18 * 18 + 6 * 6
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To get the ladder length, we take the square root of 360 which equals
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19 foot ladder.


4 0
3 years ago
Read 2 more answers
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