Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
2, 7, 4, 7, 2, 7, 2, 2, 2, 3, 4, 3, 1, 2, 3, 2, 1, 4, 2, 2, 5, 2, 3, 4, 4, 1, 7, 6, 3, 5
Value __ Frequency ___ relative frequency
1 ___ 3 ______ 3/30 ____ 0.1
2 __ 10 ______ 10/30 ___ 0.3
3 __ 5 _______ 5/30____0.2
4 __ 5 ________ 5 / 30 __0.2
5 __ 2 _________ 2/30 __ 0.1
6 __ 1 _________ 1/30 ___0.0
7 __ 4 ________ 4/30 ___0.1
Kindly note that relative frequencies were rounded to the nearest tenth.
Answer:
Step-by-step explanation:
Unless I'm reading this incorrectly, he throws 155 6's.
There are 1000 throws altogether (according to the table)
So the experimental probability is 155/1000 = 0.155
The answer is B. It is a bit tricky to read.
To reach a savings goal of $300,000 at the end of 25 years, you need to invest approximately $4,206.42 semiannually with a 5% interest rate compounded semiannually.
To calculate the amount of money you need to invest semiannually to reach a savings goal of $300,000 at the end of 25 years, you can use the formula for the future value of an annuity:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where FV is the future value, P is the amount you need to invest each period, r is the interest rate per period (5% in this case), n is the number of compounding periods per year (2 for semiannual compounding), and t is the number of years.
Inserting the given values into the formula:
FV = P * ((1 + 0.05/2)^(2*25) - 1) / (0.05/2)
Solving for P:
P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)
Substituting the values:
P = 300,000 * (0.05/2) / ((1 + 0.05/2)^(2*25) - 1)
Calculating the value of P, we find:
P ≈ 4206.42
Therefore, you need to invest approximately $4,206.42 semiannually to reach your savings goal of $300,000 in 25 years.
#SPJ3
result is 150.
9514 1404 393
Answer:
7(x +27) = 150
Step-by-step explanation:
Let x represent the number.
"a number increased by 27" . . . . x +27
"the sum multiplied by 7" . . . . . 7(x +27)
"the result is 150" . . . . . . 7(x +27) = 150
645 divided by 100
645 divided by 50
48.6 divided by 30
48.6 divided by x
Answer:
645/100 = 129/20 or 6.45
645/50 = 129/10 or 12.9
48.6/30 = 1.62
48 divided by x = 48.6/x
Step-by-step explanation:
645/100
Factor the number:
= 5*129/100
Factor the number:
= 5*129/5*20
Cancel the common factor:
= 129/20
645/50
Factor the number:
5*129/50
Factor the number:
5*129 / 5*10
Cancel the common factor:
= 129/10
48.6/30
Write the problem in long division format
Multiply the quotient digit (1) by the divisor (30)
Subtract 30 from 48
Add a decimal and bring down the next number
Divide 186 by 30 to get 6
Continue...A few steps later...
Subtract 60 from 60
Solution is 1.62
48.6/x
Re-write division as a fraction:
48.6/x