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andrew-mc [135]
3 years ago
10

A sleep time of 15.9 hours per day for a newborn baby is at the 10h percentile of the distribution of sleep times for all newbor

n babies. Assuming the distribution is normal with a standard deviation of 0.5 hour, approximately what is the mean time, in hours per day, for newborn babies?
A. 15.1
B. 15.3
Ğ¡. 16.3
D. 16.5
E. 16.7
Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

option (D) 16.5

Step-by-step explanation:

Data provided:

Sleep time of , X = 15.9 is at the 10th percentile

Standard deviation, σ = 0.5  hour

also,

10th percentile of normal distribution is

Z = F⁻¹(0.10)

or

Z = - 1.28  (Using Standard Normal distribution)

Now,

\\Z=\frac{X-\mu}{\sigma}

or

X = μ + ( σ × Z )

or

μ = X - ( σ × Z )

on substituting the respective values, we get

μ = 15.9 - 0.5 × (-1.28)

or

μ = 16.5

Hence, the correct answer is option (D) 16.5

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aleksandrvk [35]

Answer:

70/5985

Step-by-step explanation:

We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction.

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Step-by-step explanation:

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Hope it helps

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Find the center of the circle that can be circumscribed about triangle EFG with E(2, 2), F(2, -2), and G(6,-2).
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How are addition properties and subtraction rules helpful when solving problems
snow_lady [41]
For the sum we have the following properties:
 The properties are commutative, asosiative, distributive and neutral element.

 Commutative property: When two numbers are added, the result is the same regardless of the order of the addends.

 Associative property: When three or more numbers are added, the result is the same regardless of the order in which the addends are added.

 Neutral element: The sum of any number and zero is equal to the original number.

 Distributive property: The sum of two numbers multiplied by a third number is equal to the sum of each summand multiplied by the third number.<span><span>

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The following linear equation represents the line of best fit for the following scatter plot
Lynna [10]

Answer:

C) About 243 hits

General Formulas and Concepts:

<u>Pre-Algebra </u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
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Step-by-step explanation:

<u>Step 1: Define </u>

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

<em>We can use this to predict the average of the scatter plot. </em>

home runs = y = 35

<u>Step 2: Solve for </u><em><u>x</u></em><u> hits</u>

  1. Substitute [BLF]:                    35 = 0.15x - 1.5
  2. Add 1.5 on both sides:          36.5 = 0.15x
  3. Divide 0.15 on both sides:    243.333 = x
  4. Rewrite:                                  x = 243.333

Remember that this is a <em>prediction</em>. According to the best line of fit, we would need approximately ~243 to get 35 home runs.

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