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alexandr1967 [171]

3 years ago

13

. The wheel is divided into eight same-sized sections, and three of those sections represent winning a gift certificate. Assumin

g the wheel is fair, approximately how many gift certificates are likely to be won if 528 customers spin the wheel

1 answer:

aivan3 [116]3 years ago

3 0

<h3>Answer: 198</h3>

The probability of winning is 3/8 since there are 3 winning spaces out of 8 total.

We expect to have (3/8)*528 = 198 winners

Note how if we had 198 winners out of 528 total players, then the empirical probability of winning is 198/528 = 3/8

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Ella has gold,silver,and copper wire for stringing beads.she has1 1\2ft.of gold wire,2 1\3ft.of silver wire,and3 3\4ft.of copper

Oksana_A [137]

Ella would have 65/8ft wire all together.

3 0

3 years ago

PLEASE HELP DUE IN 20 MINUTES FIND X AND SHOW YOUR WORK PLEASE

Vlad1618 [11]

Answer:

x = 7°

Step-by-step explanation:

3x° - 53° = x° + 67°

2x° = 14°

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3 years ago

In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1

svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\, XY=XZ$ Given

$2) \text{ $ m\angle Y= m\angle Z$}$ Isosceles Triangle Theorem

$\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}$ Angle Addition

$\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}$ Given

$5) \text{ $m\angle XYQ=m\angle QYZ$}$ Definition of Bisector

$\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}$ Substitution

$7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}$ Angle Addition

$8)\text{ $ZP$ bisects $\angle XZY$}$ Given

$\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }$ Definition of Bisector

$\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}$ Substitution

$11)\text{ } 2m\angle QYZ=2m\angle PZY$ Substitution

$12)\text{ }m\angle QYZ=m\angle PZY$ Division Property of Equality

$13)\text{ } YZ=YZ$ Reflexive Property

$14)\text{ } \Delta YZP\cong\Delta ZYQ$ Angle-Side-Angle Congruence*

$15)\text{ } YQ=ZP$ CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0

3 years ago

Read 2 more answers

akash's salary in 2014 was 25% more than that of 2013,then his previous salary was what % of present salary

marishachu [46]

Answer:

80%

Step-by-step explanation:

Focus on the important parts of the problem:

The present salary is 25% more than the previous salary.

previous = % of present ?

<u>Use a mock/fake situation.</u> Let' say the previous salary is $100.

100 = % of present

Present salary is $100 increased by 25%.

$100 X 1.25 = $125

100 = % of 125

Solve this in decimal form (convert it to a percentage later).

Let x be the percentage in decimal form.

100 = 125x

100/125 = x Isolate "x" by dividing by sides by 125

x = 0.80

Convert 0.80 to percentage by multiplying by 100.

0.80 X 100 = 80%

When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.

Since his previous salary was less than his present salary, this answer makes sense.

Therefore his previous salary was 80% of his present salary.

3 0

3 years ago

Read 2 more answers

15 people shared 65 1/2 acres of land. How much did each get?

beks73 [17]

You need to divide 65 1/2 by 15.

$65 \dfrac{1}{2} \div 15 =$

$= \dfrac{131}{2} \div \dfrac{15}{1}$

$= \dfrac{131}{2} \times \dfrac{1}{15}$

$= \dfrac{131 \times 1}{2 \times 15}$

$= \dfrac{131}{30}$

$= 4 \dfrac{11}{30}$

Each one got $4 \dfrac{11}{30}$ acres.

3 0

3 years ago

Read 2 more answers