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tatyana61 [14]
2 years ago
6

2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)​

Mathematics
1 answer:
Darya [45]2 years ago
5 0

Answer:

3/2

Step-by-step explanation:

Let it be

C (5;4) , A (2;1) ; B(7;6)

Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)

Use the formula xc=(m*xb+n*xa)/ (m+n)

5=(m*7+2n)/(m+n)

5m+5n= 7m+2n

2m=3n

m/n=3/2

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Probability.
swat32

Answer: 0.0386

Step-by-step explanation:

Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30

Sample size : n = 12

Let x = Number of contaminated chickens

Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.

Binomial probability formula:

P(X=x)  = \ ^nC_x p^x(1-p)^{n-x}

The probability that the consumer will have more than 6 contaminated chickens :-

P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0

=0.03860084306\approx0.0386<em>  (simplified)</em>

<em />

Hence, the required probability = 0.0386

5 0
3 years ago
At the end of a 10-year loan, $13,570 had been paid in interest. If the initial loan amount was $23,000, find the interest rate
lara31 [8.8K]

Answer:

5.9%

Step-by-step explanation:

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3 years ago
Find all trigonometric functions of an angle θ in the third quadrant for which cos θ =(-5)/6
Tanzania [10]

Answer:

Step-by-step explanation:

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3 0
3 years ago
Sam is paid time and a half for overtime, if his basic hourly rate is $12.50 and he works 8 hours overtime, how much did he earn
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5 0
2 years ago
- A contractor plans to build a rectangular office complex. The floor area on the first floor of the
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Answer:

Width = 30

Step-by-step explanation:

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4 0
3 years ago
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