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coldgirl [10]
3 years ago
8

Show solution of the ratio of 14 days to 3 weeks in simplest form?

Mathematics
2 answers:
Paladinen [302]3 years ago
5 0

Answer:

2:3

Step-by-step explanation:

We are asked to find the ratio 14 days to 3 weeks in simplest form.

We know that 1 week equals 7 days, so 3 weeks will be equal to 21 (3*7) days.

So our ratio would be 14:21.

We can see that 14 and 21 share a common factor 7.

14:21=7\cdot2:7\cdot3=2:3

Therefore, our required ratio would be 2:3.

erica [24]3 years ago
4 0
14:3 can be written as 14/3...and this does not simplify

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Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi
Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

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:

n = 30, p = 0.2

We want P(X = 12). So

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

P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064

P(X = 12) = 0.0064.

6 0
3 years ago
What kinetic energy has a 4kg shootput thrown with a velocity of 12m/s
Tamiku [17]

Answer:

288J

Step-by-step explanation:

recall the formula for kinetic energy

KE = (1/2) mv²

where m is the mass (= 4kg)  and v is the velocity(=12 m/s)

hence

KE = (1/2) (4)(12)² = 288J

7 0
3 years ago
Read 2 more answers
Three consecutive even integers have a sum of 48 . find the integers.
Mandarinka [93]

<span>
</span>

<span>x+<span>(x+2)</span>+<span>(x+4)</span>=48</span>

3x+6=48

Minus 6 to both sides

<span>3x=42</span>

Divide 3 to both sides

<span>x=14</span>

Get the next two integers

<span>x,x+2,x+4 or 14,16,<span>18 = 48 is you Answer</span></span>

4 0
3 years ago
If 3x-8=-2 fins the value of x-6
adell [148]

Steps to solve:

3x - 8 = -2; x - 6

~Substitute

3(x - 6) = -2

~Distribute left side

3x - 18 = -2

~Add 18 to both sides

3x = 16

~Divide 3 to both sides

x = 16/3

Best of Luck!

7 0
3 years ago
What is the product?
Anit [1.1K]

The final answer will be a 3x3 matrix. So you'll have 3 rows and 3 columns.

Along row one, the values are:     10,   15,    20

Along row two, the values are:      45,  -5,   -35

Along row three, the values are:   55,  25,   -15

all of which make up the final answer. Each value in bold is the result of multiplying the outer 5 by each value inside the original matrix given. In a sense, it's like using the distributive property, though we wont be adding any of the values (everything stays separated).

7 0
3 years ago
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