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4 years ago

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You roll a number cube and flip a coin. What is the probability of rolling a number less than 5 and flipping heads? Write your a

nswer as a mixed number.

1 answer:

umka2103 [35]4 years ago

4 0

<h2>Answer: <em><u>2/3 chance rolling less than 5 and 1/2 chance of flipping coin on heads. </u></em></h2>

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Step-by-step explanation:

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You might be interested in

The angles with measures x and 4x are complementa angles.which is the value of x

pochemuha

Answer:

$\huge\boxed{x=18^o}$

Step-by-step explanation:

Two angles are Complementary when they add up to 90°.

Therefore

$x+4x=90\qquad|\text{combine like terms}\\\\5x=90\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{90}{5}\\\\\boxed{x=18}$

8 0

3 years ago

True/false: x=7 DOES NOT satisfy the inequality x>7

geniusboy [140]

The answer is true because in order for x to be greater than 7, it would have to be 8 or above.

3 0

3 years ago

Select the correct answer.<br> What is the approximate sum of this series

icang [17]

Answer:

A. 134. 83

Step-by-step explanation:

1) 5(4/3)^(8-1) / (4/3-1)

2) 5(9.98872-1) / (1/3)

3) 44.9436 / (1/3)

4) 134.83

7 0

3 years ago

John, Sally, and Natalie would all like to save some money. John decides that it would be best to save money in a jar in his clo

Radda [10]

Answer:

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2) $y=100x+300$

Part 3) $\$12,300$

Part 4) Is a exponential growth function

Part 5) $A=6,000(1.07)^{t}$

Part 6) $\$11,802.91$

Part 7) Is a exponential growth function

Part 8) $A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

Part 9) $\$13,591.41$

Part 10) Natalie has the most money after 10 years

Step-by-step explanation:

Part 1) What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

$y=mx+b$

The slope is equal to

$m=\$100\ per\ month$

The y-intercept or initial value is

$b=\$300$

so

$y=100x+300$

therefore

John’s situation is modeled by a linear equation

Part 2) Write the model equation for John’s situation

$y=100x+300$

see part 1)

Part 3) How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

so

10 years=10(12)=120 months

For x=120 months

substitute in the linear equation

$y=100(120)+300=\$12,300$

Part 4) What type of exponential model is Sally’s situation?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$P=\$6,000\\ r=7\%=0.07\\n=1$

substitute in the formula above

$A=6,000(1+\frac{0.07}{1})^{1*t}$

$A=6,000(1.07)^{t}$

therefore

Is a exponential growth function

Part 5) Write the model equation for Sally’s situation

$A=6,000(1.07)^{t}$

see the Part 4)

Part 6) How much money will Sally have after 10 years?

For t=10 years

substitute the value of t in the exponential growth function

$A=6,000(1.07)^{10}=\$11,802.91$

Part 7) What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$P=\$5,000\\r=10\%=0.10$

substitute in the formula above

$A=5,000(e)^{0.10t}$

Applying property of exponents

$A=5,000(1.1052)^{t}$

therefore

Is a exponential growth function

Part 8) Write the model equation for Natalie’s situation

$A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

see Part 7)

Part 9) How much money will Natalie have after 10 years?

For t=10 years

substitute

$A=5,000(e)^{0.10*10}=\$13,591.41$

Part 10) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

4 0

4 years ago

Read 2 more answers

D. What value should be assigned to choosing two chips with the number 1 to make

Snezhnost [94]

The value should be assigned to choosing two chips with the number 1 to make the game fair is 5

<h3>What is probability?</h3>

It is a branch of mathematics that deals with the occurrence of a random event.

The complete question is....

Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). a. Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) b. What is Miguel’s expected value from playing the game? c. Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays? d. What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.

Now, for fair game the expected value =0

let the amount assigned be x

So,

1/6x-5/6=0

1/6x=5/6

x=5.

Learn more about this concept here:

brainly.com/question/11905174

#SPJ1

8 0

2 years ago