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STatiana [176]
3 years ago
12

What is the solution to the following expression if x=5

Mathematics
1 answer:
jonny [76]3 years ago
7 0
Actually it’s D. or 3
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The graph of a quadratic function passes through the points (0,-4) and (-2,0). What is the zero of the function?
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Answer:

2 I believe 2? hopefully I'm right

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Solve the equation for x. 3 In(x) + 2 In (4)= In(128)
Scilla [17]

Answer:

x=2

Step-by-step explanation:

3 ln(x) + 2 ln (4)= ln(128)

a ln (b) = ln b^a

In(x^3) +  In (4^2)= In(128)

In(x^3) +  In (16)= In(128)

ln a + ln b = ln (ab)

In(16x^3) = In(128)

raise each side to the power of e

e^ In(16x^3) = e ^In(128)

e^ ln  cancels out

(16x^3) = (128)

divide by 16

(16x^3)/16 = (128)/16

x^3 = 8

take the cube root on each side

(x^3)^1/3 = 8^ 1/3

x =2



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3 years ago
Which line is the graph of y = 1/2x + 1?<br><br> line a<br> line b<br> line c<br> line d
Irina18 [472]

Answer:

B

Step-by-step explanation:

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10 snails is to be chosen from this population. Find the probability that the percentage of streaked-shelled snails in the sampl
Alex17521 [72]

Here is the full question:

The \  shell \   of  \ the \  land  \ snail \  Limocolaria  \ martensiana  \ has \  two  \ possible  \ colorforms:  \ streaked  \ and  \ pallid.  \ In  \  a \ certain \  population  \ of  \ these   \ snails,  \ 60\%  \ o f  \ theindividuals \  have  \ streaked  \ s hells.\ 16  \ Suppose  \ that  \ a  \ random \ sample  \ of \  10  \ snailsis \  to  \ be \ chosen  \ from  \ this \  population.  \ F ind  \ the  \ probabilit y \  that  \ the  \ percentage  \ of

streaked-shelled  \ snails   \ in  \ t he  \ sample \  will  \ be

(a) 50\%. \  (b) 60\%.  \ (c) 70\%.

Answer:

(a) 0.2007

(b) 0.2510

(c) 0.2150

Step-by-step explanation:

Given that:

The sample size = 10

Sample proportion= 60% 0.6

Let X represents the no of streaked-shell snails.

X \sim Binom (n =1 0, p = 0.60)

The Probability mass function (X) is:

P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...

The Binomial probability with mean μ = np

= 10 * 0.6

= 6

Standard deviation σ = \sqrt{np(1-p)}

= \sqrt{10*0.6*(1-0.6)}

= 1.55

The probability that the percentage of the streaked-shelled snails in the sample will be:

a)

P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}

= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}

= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}

= 0.2007

b)

P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}

= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}

= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}

= 0.2510

c)

P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}

= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}

= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}

= 0.2150

7 0
3 years ago
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