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RoseWind [281]
3 years ago
15

If a coin is flipped and then a twenty-part spinner is spun, how many possible outcomes are in the sample space for the compound

event?
400
80
20
40
Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Answer:

There are 40 outcomes in the sample space for the compound event.

Step-by-step explanation:

The total number of possible outcomes is equal to the product between the number of outcomes for each event.

The coin has 2 possible outcomes.

A twenty-part spinner has 20 possible outcomes (we assume that each part of the spinner corresponds to a unique outcome).

Then the total number of outcomes in the compound event is:

C = 2*20 = 40

There are 40 outcomes in the sample space for the compound event.

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Two positive integers have a sum of 10 and a product of 21. What are the integers?
lara [203]

Answer:

<h2>3 and 7</h2>

Step-by-step explanation:

x,y-\text{positive integers}\\\\\text{The system of equations:}\\\\\left\{\begin{array}{ccc}x+y=10&\text{subtract}\ y\ \text{from both sides}\\xy=21\end{array}\right\\\\\left\{\begin{array}{ccc}x=10-y&(1)\\xy=21&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\(10-y)(y)=21\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\10y-y^2=21\qquad\text{subtract 21 from both sides}\\\\-y^2+10y-21=0\qquad\text{change the signs}\\\\y^2-10y+21=0\\\\y^2-3y-7y+21=0\\\\y(y-3)-7(y-3)=0

(y-3)(y-7)=0\iff y-3=0\ \vee\ y-7=0\\\\y-3=0\qquad\text{add 3 to both sides}\\\\y=3\\\\y-7=0\qquad\text{add 7 to both sides}\\\\y=7\\\\\text{Put the value of}\ y\ \text{to (1):}\\\\x=10-3=7\ or\ x=10-7=3

7 0
3 years ago
75%
Aleksandr-060686 [28]

Step-by-step explanation:

a) 3/0.5= 6

3/1=3

3/2=1.5

3/3=1

3/4=0.75

b)A as that's the only one that corresponds the the answers in the table

5 0
3 years ago
Read 2 more answers
Write this ratio as a fraction in simplest form without any units. 35 days to 6 weeks
Liono4ka [1.6K]
The answer is 5 and 5/6
I did 35 divided by 6 = 5
and then there is 5 left so 5 = 5 and 5/6
7 0
3 years ago
Which measurement statement is correct?
Ivan

Answer:

There are two pints in a cup

6 0
3 years ago
Read 2 more answers
The owner of the Texans football team wants to paint their red, white, and blue logo on the side of a building at their training
Anastasy [175]

Answer:

$393.75

Step-by-step explanation:

cost of special background paint = $1.25 per square foot

Area of background = area of triangle + area of rectangle

                                  = 1/2 ( b*h)  +  L * B

                                  = 1/2 ( 5 * 6 ) + 5 * 4  = 15 + 20 = 35 yd^2

Given that  1 yd^2 = 9 ft^2

                 35 yd^2 = ( 9 * 35 ) ft^2  

Hence area of background = 315 ft^2

Cost = 315 * 1.25 = $393.75

5 0
3 years ago
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