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Darina [25.2K]
3 years ago
12

Suppose babies born in a large hospital have a mean weight of 4022 grams, and a standard deviation of 266 grams. If 53 babies ar

e sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by more than 45 grams?
Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer: 0.866

Step-by-step explanation:

Mean = 4022

SD = 266

We are looking for the probability of samples 45g differ than the mean. Hence 2 probability combination:

X>4067 and X<3977

Calculate for Z we'll get Z = 0.16917 and -0.161917

Using Z formula we can find P(Z=0.17) = 0.433

Since both probability will occupy the same area, total probability is 0.433x2 = 0.866

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Alisiya [41]
The answer is C.
You want:

10 < a < 14  (greater or equal)
The difference between 10 and 12 is 2.
The difference between 12 and 14 is 2.
Therefore the absolute value allows you to express that the difference between a and 12 cannot be greater than 2 (either going up to a max of 14 or going down to a minimum of 10).

5 0
3 years ago
21-7x=7(3-x)<br> Solve this please!!!!!!!!!!
Hunter-Best [27]

Answer:

All real numbers

Step-by-step explanation:

21 - 7x = 7(3 - x)

21 - 7x = 21 - 7x

Since both sides of the equation are equal, the answer is all real numbers.

3 0
3 years ago
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4t = 1 5/8 t = ______ <br><br> need some help on this aha, thanks :)
Anvisha [2.4K]

Answer: I’m not sure just trying to get Brainly points to ask more questions. Sorry :/

Step-by-step explanation:

5 0
3 years ago
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Today only, a table is being sold at a 62% discount. The sale price is $144.40.
Korolek [52]
  • Answer:

<em>$ 232.90</em>

  • Step-by-step explanation:

<em>62% ........... $144.40</em>

<em>100% ..........$ x</em>

<em>x = 144.40×100/62</em>

<em>= 14440/62</em>

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3 0
3 years ago
The length of a cuboid is thrice the breadth and twice the length.if the volume of a box is 750 cm3 then find the measure of the
uysha [10]

Step-by-step explanation:

Let b is breadth and l is length of the cuboid such that,

Length, l = 3b and l = 2h

or

h = l/2

We know that, the volume of a cuboid box is given by :

V = lbh

Put all the values,

V=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750\times 6=l^3\\\\l=(750\times 6)^{1/3}\\\\l=16.5\ cm

Breadth, b = 16.5/3 = 5.5 cm

Height, h = 16.5/2 = 8.25 cm

Hence, this is the required solution.

4 0
2 years ago
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