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Natalka [10]
4 years ago
10

See attachment to help.

Mathematics
1 answer:
kogti [31]4 years ago
5 0
I hope this helps! its  in the file below!

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marlee spins a spinner and rolls 1-6 # cube. the spinner has 5 equal parts # 1-5 . what is the probability she will spin an even
forsale [732]
The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by: 

P_t = P_{cube} \times P_{spin}

For the cube, 1/2 the numbers meet our requitment of being even, so:
P_{cube} = \frac{Desired}{Total} = \frac{even}{total} = \frac{3}{6} =\frac{1}{2}

For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:
P_{spin} =\frac{Desired}{Total} = \frac{odd}{total} = \frac{3}{5}

and then:
P_T = P_{cube} \times P_{spin}
P_T =\frac{1}{2} \times \frac{3}{5}
P_T =\frac{3}{10}

6 0
4 years ago
A population of 350 animals that increases at an annual rate of 6%.
slava [35]

Answer:

y=350(1.06)^x and 704

Step-by-step explanation:

Exponantial Function is y=ab^x. I plugged in 12 into x

6 0
3 years ago
What is the oblique asymptote of the function f(x) = the quantity of x squared plus x minus 2, all over x plus 1
Korvikt [17]
Hello,

y=ax+b is the asymptote
with
$a=  \lim_{n \to \infty}  \frac{f(x)}{x}=\lim_{n \to \infty}  \dfrac{x^2+x-2}{x^2+x}=1\\\\

$b= \lim_{n \to \infty} f(x)-ax= \lim_{n \to \infty} \frac{x^2+x-2}{x+1}-x= \lim_{n \to \infty} \frac{-2}{x+1}=0  $

7 0
3 years ago
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
vlabodo [156]

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

x - 5 + \frac{x}{2} + 6 = 13

Solve to find the value of x

\frac{2x - 10 + x + 12}{2} = 13

\frac{3x + 2}{2} = 13

Multiply both sides by 2

\frac{3x + 2}{2}*2 = 13*2

3x + 2 = 26

Subtract 2 from both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide both sides by 3

\frac{3x}{3} = \frac{24}{3}

x = 8

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

6 0
3 years ago
Using the substitution method, Jake is solving the following system of equations
I am Lyosha [343]

Answer:

(3, 1)

Step-by-step explanation:

4 0
2 years ago
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