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Nata [24]
4 years ago
5

If a population of 200 squirrels has a 10 percent growth rate each year, how many individuals will there be in the population af

ter 3 years (assume that no deaths occur during this period)
Mathematics
1 answer:
Anarel [89]4 years ago
4 0
For this case we have a function of the form:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: growth rate
 t: time
 Substituting values we have:
 y = 200 * (1.10) ^ (t)
 For 3 years we have:
 y = 200 * (1.10) ^ (3)
 y = 266.2
 Rounding off we have:
 y = 266
 Answer:
 
there will be 266 squirrels in the population after 3 years
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Suppose A and B are mutually exclusive events, and that P(B)=0.03 and P(A OR B)=0.52. Find P(A)
Angelina_Jolie [31]

Answer:

P(A) = 0.49

Step-by-step explanation:

Given:

A and B are mutually exclusive events.

P(B) = 0.03

P(A or B) = 0.52

If two events A and B are mutually exclusive events, then there are no elements common in both the events. So, the probability of their intersection is 0.

Now, as per probability addition theorem:

P(A or B) = P(A) + P(B) + P(A and B)

For mutually exclusive events, P(A and B) = 0. So,

P(A or B) = P(A) + P(B) + 0

P(A or B) = P(A) + P(B)

Plug in the given values and solve for P(A). This gives,

0.52 = P(A) + 0.03

P(A) = 0.52 - 0.03

P(A) = 0.49

Therefore, the probability of occurrence of event A is P(A) = 0.49.

4 0
3 years ago
The weather report stated that tomorrow's low temperature will be -3 degrees. What does that statement mean?
Ket [755]

Answer:

It means that the lowest the temperature will get that day is -3 degrees

Step-by-step explanation:

6 0
3 years ago
What is a verbal expression for x^3 • y^4
HACTEHA [7]

Step-by-step explanation:

x { }^{3}  \times y { }^{3}

xy {}^{3 + 3}

{xy}^{6}

4 0
3 years ago
Help please only if you know!!!
gulaghasi [49]
#5. looks fine.
The roots are { +√(6) , -√(6) , -2, 2 }

#6. 12x³ + 26x² - 10x
factor out 2x  
2x(6x² + 13x - 5) = 0
one root is zero

factor for other two roots, only 5×1 = 5
(3x-1)(2x+5)
3x - 1 = 0
3x = 1
x = 1/3

2x + 5 = 0
2x = -5
x = -5/2

roots are { 0, 1/3, -5/2 }


EDIT** forgot #7

#7. 125x³ + 8 = 0

125x³ = -8
x³ = -8/125
x = ∛(-8/125)

root of a fraction is the root of the numerator and denominator, negative can be on either numerator or denominator. overall fraction should be negative to subtract from the 8 to give zero.

∛(-8) = +/- 2
∛(125) = 5

root { -2/5 }

7 0
4 years ago
Enter the simplified form of the complex fraction in the box. Assume no denominator equals zero.
Olenka [21]

Answer:

\frac{(9-x)}{3x}

Step-by-step explanation:

we have

\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}

step 1

Solve the numerator of the quotient

\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}

step 2

substitute in the original expression

\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}

\frac{(x-3)(9-x)}{3x(x-3)}

step 3

simplify

\frac{(9-x)}{3x}

5 0
3 years ago
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