2 fair spinners are spun at the same time...One of the spinners has 4 possible outcomes... 2,3,3 and 5.
The other spinner has 5 possible outcomes... 1,1,2,3 and 4.

What are the possibilities of getting a total score that is prime, square and greater than 7?

Answers

Answer 1
Answer: See the solution in the pdf file attached. Please, let me know if it is satisfactory for you.

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What is converse inverse and contrapostive?

Answers


rhythm of the falling rain answered 6 yearGiven an if-then statement "if p, then q", we can create three related statements: 


A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause. 

For instance, “If it rains, then they will cancel school.” 
“It rains, “is the hypothesis. 
“They will cancel school,” is the conclusion. 

To form the converse of the conditional statement, interchange the hypothesis and the conclusion. 

The converse of “If it rains, then they will cancel school.” is 
“If they cancel school, then it rains.” 

To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. 

The inverse of “If it rains, then they will cancel school” is “If it does not rain, then they do not cancel school.” 

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. 

The contrapositive of “If it rains, then they will cancel school” is “If they do not cancel school, then it does not rain.” 

Summary: 
Statement If p, then q. 
Converse If q, then p. 
Inverse If not p, then not q. 
Contrapositive If not q, then not p. 

If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true. 

Example: 
Statement If a person is 18 years old, then he is a legal adult. 
Converse If a person is a legal adult, then he is 18 years old. 
Inverse If a person is not 18 years old, then he is not a legal adult. 
Contrapositive If a person is not a legal adult, then he is not 18 years old.

Solve for x algebraically: 7-3(4x-8)<6x+12-9x

Answers

7-3(4x-8)<6x+12-9x
7-12x+24<6x+12-9x
-12x-6x+9x<12-7-24
-9x<-19
-x<-19/9
x>19/9

Answer: x>19/9          or          (19/9 , +∞)

In the diagram , m Find m help pls

Answers

Answer:

119°

Step-by-step explanation:

90 + 29

Sam Seller offers credit at 19% interest per year. To the nearest tenth, APR =

Answers

Answer:

20.7%.

Step-by-step explanation:

We have been given that Sam Seller offers credit at 19% interest per year.

We will annual percent yield formula to solve our given problem.

APY=(1+(r)/(n))^n-1, where,

r = Interest rate in decimal form,

n = Number of times interest is compounded per year.

Let us convert our given interest rate in decimal form.

19\%=(19)/(100)=0.19

Upon substituting our given values in above formula we will get,

APY=(1+(0.19)/(12))^(12)-1

APY=(1+0.015833)^(12)-1

APY=(1.015833)^(12)-1

APY=1.207450998-1

APY=0.207450998

Let us convert APY in percentage by multiplying our answer by 100.

APY=0.207450998* 100

APY=20.7450998\%\approx 20.7\%

Therefore, the APY is 20.7%.

Answer:

\text{APR}=20.7\%              

Step-by-step explanation:

Given : Sam Seller offers credit at 19% interest per year.

To find : To the nearest tenth, APR ?

Solution :

The formula to calculate the annual percentage rate is given by

\text{APR}=(1+(r)/(n))^n-1

where, r is the interest rate i.e. r=19%=0.19

n is the number of time period for which interest is compounded per month i.e. n=12.

Substitute in the formula,

\text{APR}=(1+(0.19)/(12))^(12)-1

\text{APR}=(1+0.01583)^(12)-1

\text{APR}=(1.01583)^(12)-1

\text{APR}=1.2074-1

\text{APR}=0.2074

Into percentage,

\text{APR}=0.2074* 100

\text{APR}=20.74\%

To the nearest tenth,

\text{APR}=20.7\%

Solve for m f=gmn/d^2

Answers

f = gmn/d²

gmn = fd²

m = fd²/gn

Giselle works as a carpenter and as a blacksmith. She earns $20\$20 $20 dollar sign, 20 per hour as a carpenter and $25\$25 $25 dollar sign, 25 per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 3030 30 30 hours, and earned a total of $690\$690 $690 dollar sign, 690 . How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith? Giselle worked as a carpenter for hours and as a blacksmith for hours last week.

Answers

c = # of carpenter hrs , b = # of blacksmith hrs

c + b = 30...c = 30 - b
20c + 25b = 690

20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith

c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter

Answer:

Carpenter: 12 hours and Blacksmith: 18 hour

Step-by-step explanation: