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Fofino [41]
3 years ago
10

5/6 x 3/20 as a fraction

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

1/8

Step-by-step explanation:

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Rae deposit 6,000 into a savings account with an interest rate of 4% compounded monthly. how long will it take for the account t
Dovator [93]

Answer: it will take 13.3 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

A = 10000

r = 4% = 4/100 = 0.04

n = 12 because it was compounded 12 times in a year.

Therefore,.

10000 = 6000(1 + 0.04/12)^12 × t

10000/6000(1 + 0.0033)^12t

1.67 = 1.0033^12t

Taking log to base 10 of both sides, it becomes

Log 1.67 = 12tLog 1.0033

0.223 = 12t × 0.0014

0.223 = 0.0168t

t = 0.223/0.0168

t = 13.3 years

7 0
3 years ago
How long does it take for a train traveling 60.4 miles per hour to travel 81 miles?
Andreyy89
Distance ÷ Speed = Time

81 miles ÷ 60.4 miles per hour= 1.34 hours
1.34 hours ≈ 1 hour 20 min
8 0
2 years ago
What is 3 1/6 + 2 5/6
Feliz [49]

The answer you are looking for is 6.

To find this answer, you first add 1/6 and 5/6. Adding them together will give you 6/6 or 1. Next, you add all the whole numbers together. 3 + 2 + 1 = 6. Thus making 6 your answer.

I hope this helps!

4 0
3 years ago
Read 2 more answers
In a survey, three out of four students said that courts show too much concern for criminals. Of seventy randomly selected stude
vladimir1956 [14]

Answer:

B. Yes, because P(X ≥ 68) ≤ .05

Step-by-step explanation:

The probability of a score X occuring is said to be unusually high if the probability of a score of X or larger is lower than 5%.

For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

Three out of four students said that courts show too much concern for criminals. This means that p = \frac{3}{4} = 0.75

Would 68 be considered an unusually high number of students who feel that courts are partial to criminals?

We have to find P(X \geq 68).

P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 68) = C_{70,68}.(0.75)^{68}.(0.25)^{2} < 0.000001

P(X = 69) = C_{70,69}.(0.75)^{69}.(0.25)^{1} < 0.000001

P(X = 70) = C_{70,70}.(0.75)^{70}.(0.25)^{0} < 0.000001

So

P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70) < 0.000003

P(X \geq 68) is lower than 0.05, so this is an unusually high number.

So the correct answer is:

B. Yes, because P(X ≥ 68) ≤ .05

5 0
3 years ago
What kind of symmetry does this figure have?
nalin [4]
Both Line and point
8 0
2 years ago
Read 2 more answers
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