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aleksklad [387]
3 years ago
9

Roy uses 1/4 cup of batter for each muffin. make a list of batter he will use depending on the number of muffins he makes.

Mathematics
2 answers:
evablogger [386]3 years ago
5 0
1 muffin = 1/4 cup
2 muffins = 1/2 cup
3 muffins = 3/4 cup
4 muffins = 1 cup
5 muffins = 1 and 1/4 cup
6 muffins = 1 and 1/2 cup
denis-greek [22]3 years ago
3 0

Answer with explanation:

We are given that:

Roy uses 1/4 cup of batter for each muffin.

This means that he will need 1 cup of batter for making 4 muffins.

We have to make a list of batter he will use depending on the number of muffins he makes.

                                  Batter(no. of cups)            Muffins

                                        1                                      4

                                        2                                     8

                                        3                                      12

                                        4                                      16

                                        5                                      20

                                        6                                      24

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g The distribution of heights of 7-year-old girls is approximately normally distributed with a mean of 47.7 inches and a standar
Lana71 [14]

Answer:

a) 90th percentile

b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92

c)  0.2394

d)  46.44 inches

Step-by-step explanation:

mean value( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

Amy height = 1.34 std above mean value

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A ) what percentile is Amy's height

To Calculate the percentile of Amy's height

P( X ≤  50.916   ) = P( (X-µ)/σ )  ≤  (50.916-47.7) /2.4)  

=P(Z ≤  1.340  ) = 0.9099  = 90th percentile

B) How Amy's height compare to Sophia's

The proportion given based on Sophia's height = 0.94

z -value at the proportion ( 0.94 ) = 1.55 ( from excel )

note z-value can be calculated using  =  ( x - µ ) / σ                      

therefore: X (Sophia's height )  = zσ + µ=   (1.55 * 2.4)  +  47.7  

 X = 51.43 ( Sophia's height ) , Amy's height = 50.92

C) percentage expected to be taller than 49.4 inches

P ( X ≥ 49.40  ) = P( (X-µ)/σ)  ≥ (49.4-47.7) / 2.4)              

= P(Z ≥ 0.708 )

= P( Z <  -0.708   )

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D) Below what height are the shortest 30% of 7-year old girls

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to calculate for X ( height ) we have to apply the formula used to determine z value

z= (x-µ) /σ

hence : X = (Z * σ)  +<em> u = </em>(-0.52 * 2.4 ) + 47.7

            X = 46.44

below 46.44 inches lies about 30% of 7 year old girls height

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