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pav-90 [236]
3 years ago
15

The Z-score is based on the concept of the normal distribution, the fact that we can expect 95% of the values in the distributio

n to be between 2 standard deviations below the average and 2 standard deviations above the average. Say the average weight of a 4 year old girl is 15 kilograms and the standard deviation is 3 kilograms.
What is true of the following weights:
12 kilograms
a) maybe not healthy
b) definitely not healthy
c) in perfect health
d) We can say nothing based on this
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

C.) In perfect health.

Step-by-step explanation:

Given an average weight of 15kg and a standard deviation of 3kg for children of 4 years. Since the weight is based on a normal Z - distribution of 95% which is mean ± 2(standard deviations)

Mean weight interval is :

15 - 2(3) ; 15 + 2(3)

(9 ; 21) ; this weight interval could be interpreted to mean the normal or perfect weight value.

Therefore, given that the child weighs 12kg

Since, 12 kg falls within in the interval, we can conclude that the child is in perfect health.

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What is the distance from point (– 1, 3) to the line 3x – 4y = 10?​
natta225 [31]

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = \frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }

   = \frac{|-3-12-10|}{9+16}

   = \frac{|-25|}{\sqrt{25} }

    = \frac{25}{5}

     = 5

5 0
2 years ago
Help, please (single variable calculus)
balandron [24]

Hi there!

\large\boxed{ 14.875}

Our interval is from 0 to 3, with 6 intervals. Thus:

3 ÷ 6 = 0.5, which is our width for each rectangle.

Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:

0.5, 1, 1.5, 2, 2.5, 3

Evaluate:

(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =

Simplify:

0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875

7 0
3 years ago
Why is it important to develop and maintain a balance budget​
kap26 [50]

Answer:

Maintaining a balanced budget ensures monthly obligations are met, with room for savings.With stable cash flow,monthly surpluses can be reserved in an emergency,xontingency fund, standing ready to bail you out of times of financial distress

4 0
3 years ago
Zoe's mom is carpeting her room and needs to know the amount of floor space how many square feet of carpeting are needed for the
Radda [10]
The complete question in the attached figure

we know that
[Area of her bedroom]=[11*10]+[12*8/2]+[10*6]------> 218 ft²

the answer Part A) is
Are needed 218 ft² of carpeting for the room

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the answer Part B) is
Are needed 74 ft <span>of baseboards</span> for the room

6 0
3 years ago
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Which of the following expressions is correctly written in scientific notation
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Answer:

it is the 3 one

Step-by-step explanation:

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2 years ago
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