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Snowcat [4.5K]
3 years ago
15

A mother tracks the duration of her baby's three daily naps for a few weeks. The mean time, in minutes, and the standard deviati

on, SD, for each nap are recorded in the table below. 1st Nap 2nd Nap 3rd Nap Mean = 83 SD = 9 Mean = 52 SD = 6 Mean = 39 SD = 11 Use the information in the table to select the true statement. A. The 3rd nap is the least consistent in duration because its mean is the lowest. B. The 2nd nap is the least consistent in duration because its standard deviation is the lowest. C. The 1st nap is the least consistent in duration because its mean is the highest. D. The 3rd nap is the least consistent in duration because its standard deviation is the highest.
Mathematics
2 answers:
vodomira [7]3 years ago
8 0

Answer:

D. The 3rd nap is the least consistent in duration because its standard deviation is the highest.

Step-by-step explanation:

plato :)

Vlad1618 [11]3 years ago
4 0

Answer:

D

Step-by-step explanation:

for platoweb

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A bike rental stand at the beach charges $5 to rent a bike in targit charges to every half hour it is rented if someone pays $17
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They would have the bike for 1.7 hours

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The bike is rented at a charge of $5 for every half an hour,this can be expressed as:

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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
4 years ago
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