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3 years ago

11

There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number lin

e to help you.

1 answer:

Basile [38]3 years ago

5 0

Answer:

1/3÷5

=1/3×1/5

=1/15

each child receive 1/15 of cake

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Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund

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Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

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If n=1139 and p =0.96, the standard deviation is:

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The minimum and maximum usual values are:

$\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n$

$\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62$

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Which rigid transformation(s) would map ΔJKL onto ΔPQR? a reflection only a rotation only a rotation and a reflection a translat

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Step-by-step explanation:

A rigid transnformation is also know as isometrie. <u>This are transformations of the plane that preserves the lengths</u>. There are 3 types of isometries and each one can be combined with the others.

Reflection (First figure)
Translation (second figure)
Rotation (third figure)

Combining this transformations you will be able to transform ΔJKL onto ΔPQR

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3 years ago

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(PLEASE HELP) Triangle LMN is similar to triangle OPR. Find the measure of side RO. Round your answer to the nearest tenth if ne

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Answer:

<h3>RO = 107.36</h3>

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3 years ago

What is 2 hundreds 9 tens and 18 ones in standard form

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#11 and #13 geometry help please help need work shown as well !!

Trava [24]

Answer: In diagram (11) X = 30 degrees and Y = 60 degrees

In diagram (13) X = 20.55 degrees and Y = 69.45 degrees

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For the second triangle (number 13) we shall use Y as the reference angle. That means we have an opposite (the side facing the reference angle) which is 24 and we have an adjacent (the side that lies between the right angle and the reference angle) which is 9. Hence,

Tan Y = opposite/adjacent

Tan Y = 24/9

Tan Y = 2.6667

Checking with your calculator or table of values, 2.6667 = 69.45

Having two angles, which are 90 and 69.45, the third angle X can be computed as

X = 180 - (90 + 69.45)

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For the first triangle (number 11) we shall use X as the reference angle. We have two sides, the opposite (the side facing the reference angle) which is 3, and the hypotenuse (side facing the right angle) which is 6. Hence,

Sin X = opposite/hypotenuse

Sin X = 3/6

Sin X = 0.5000

Checking with your calculator or table of values,

X = 30 degrees.

Also, now that we have two angles we can easily compute the third angle as follows

Y = 180 - (90 + 30)

Sum of angles in a triangle equals 180

Y = 180 - 120

Y = 60

X = 30 and Y = 60

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3 years ago