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Harman [31]
3 years ago
6

Select the best answer for the question . 7. At a public swimming pool , the probability that an employee is a lifeguard is P(L)

= 0.85 , and the probability that an employee is a teenager is P(T) = 0.58 . What's the probability that an employee is a lifeguard , given that the employee is a teenager ? O A. There isn't enough information given. O B. 1.47 OC. 0.68 O D.0.49​
Mathematics
1 answer:
Paul [167]3 years ago
6 0

Answer:

D)  0.49

Step-by-step explanation:

0.85 * 0.58 = 0.49

The probability is:

D  0.49

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A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip
DochEvi [55]

Answer:

The expression that represents the population of elk is: \text{elk}(t) = 2*3^t. It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at \text{elk}(0) = 2, then after the first year the population will be:

\text{elk}(1) = \text{elk}(0)*3 = 2*3

While on the second year, it'll be:

\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2

On the third year:

\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3

And so on, therefore the expression that describes the population of elk as the years passes is:

\text{elk}(t) = 2*3^t

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6

The population will reach 1,458 elk in 6 years.

8 0
3 years ago
Justify each step. <br> x/3-7=11 <br> x/3=18<br> x=6
Nina [5.8K]
This is the steps for equation solving for the value of x,
x/3-7 = 11
now 7 goes to the other side of equation by changing the sign from - to +,
x/3 = 11 + 7
x/3 = 18
now when we multiply both sides of equation with 3 or 3 goes to the other side of equation and multiply with 18 leaving x alone here for finding the value of x,
and we get, x = 54
at the end of equation we get x = 54, if the equation was in the form 3x - 7 = 11, then we will get x = 6
8 0
3 years ago
Corvert 412% in a fraction
Andru [333]

Answer:

103/25

Step-by-step explanation:

412% = 4.12 = 103/25

6 0
3 years ago
Read 2 more answers
Which statement describes the translation of y = −1 over 5(x + 5)2 + 2 from standard position?
lesantik [10]

Answer:

Option B

Step-by-step explanation:

Given equation is

y=\frac{-1}{5(x+5)^{2} } +2

The original graph would be

y=-\frac{1}{x^{2} }

From this transformations done are

a) horizontal shift of 5 units to the left

b) shrink vertical by scale factor 1/5

c) vertical shift of 2 units up

Hence option A is not right

Option B is right.

Similarly C and D are not right.

4 0
3 years ago
Write the equation of the line that is parallel to the line y = 3x – 5 and passing
sergey [27]
Y=3x+17

this passes through the point (-5,2) and is parallel to y=3x-5
7 0
3 years ago
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