There are 172 south american animals in the springdale zoo. That is 45 more than half the number of african animals in the zoo.

Write an equation you could use to find n, the number of african animals in the zoo

Mathematics

1 answer:

sukhopar [10]4 years ago

6 0

$n-number\ of\ african\ animals\\\\0.5n+45=172\ \ \ \ \ |subtract\ 45\\0.5n=172-45\\0.5n=127\ \ \ \ \ \ |\cdot2\\n=254\\\\There\ are\ 254\ african\ animals.$

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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:

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

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