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m_a_m_a [10]
3 years ago
7

Derek rolls a die many times and records the number of times he rolls a three. Arrange the following situations in order from th

e situation that gives the largest difference between relative frequency and actual probability to the situation that gives the smallest difference.
Derek rolls the
die 10 times.
Derek rolls the
die 30 times.
Derek rolls the
die 5 times.
Derek rolls the
die 20 times.
i need an order
Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

5,10,20,30

Step-by-step explanation:

least to greatest

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Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account
Diano4ka-milaya [45]

Answer:

\$180.55

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04

substitute in the formula above

A=2,250(1+0.04*10)

A=2,250(1.4)

A=\$3,150

step 2

<u><em>Interest compounded annually</em></u>

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  

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1

substitute in the formula above

A=2,250(1+\frac{0.04}{1})^{1*10}  

A=2,250(1.04)^{10}  

A=\$3,330.55

step 3

Find the differences between the two final amounts

A=\$3,330.55-\$3,150=\$180.55

5 0
3 years ago
All lines are straight or a triangle has four sides.
sveta [45]

This is a disjunction, B, because it has 2 statements with an OR in the middle.

7 0
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One hour and twenty minutes????
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Sarah answered 24 questions on her test correctly and earned an 80%. How many questions were on the test?
MaRussiya [10]

Answer:

43 questions in total

Step-by-step explanation:

the original equation with the unknown (total number of questions on the test) will look like this

\frac{total \: number \: of \: questions \: on \: exam}{24 \: answered \: questions}  = 80\%

we know this because to work out a percentage in the 1st place you need the total ÷ number (in this case it's ÷ how many questions out of the total she did answer)

now you rearrange.

you need to move the 24 to get the total on it's own here's how you do it

\frac{tot \: num \: of \: qs}{24}  \times 24 = 80\% \times 24

what you do to one side of equation you have to do to the other. the 24 and 24 on the left will cancel because 24÷24=1 and we don't write

got mum of Q's x 1= 80 x 24

now you convert % to decimal

80\% \times 100 = 0.80

replace

tot \: num \: qs \:  = 24 \times 0.80 = 19

now you take the original and + the 19

24 + 19 = 43

therefore there are a total of 43 questions on the exam

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aniked [119]
If you could post the picture I can help
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