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vichka [17]
3 years ago
13

In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5 % per hour find the bacteria at

the end of one hour if the court was in initially 5060​
Mathematics
1 answer:
Daniel [21]3 years ago
4 0

9514 1404 393

Answer:

  5187

Step-by-step explanation:

At the end of 1 hour, the count is 2.5% greater than at the beginning.

  5060 + 2.5% × 5060 = 5060 +126.5 = 5186.5

The count at the end of the hour was about 5187.

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At a busy street corner, one of every hundred jaywalkers will be hit when they cross. What is the probability of a jaywalker not
Luba_88 [7]

Answer: Last option

p = (0.9801) ^ {30}

Step-by-step explanation:

the probability of a jaywalker being hit is

P = \frac{1}{100} = 0.01.

So the probability of a jaywalker not being hit is:

P '= 1-0.01

P '= 0.99

As in this experiment the probability of each trial is independent then, the probability that it is not a jaywalker will not be hit if it makes a round trip is:

P '= (0.99) (0.99) = 0.9801

P '= 0.9801

If this experiment is repeated for 30 days then the probability that it is not a jaywalker will not be hit if it makes a round trip is:

p = (0.9801) ^ {30}

8 0
3 years ago
There is a bag filled with 3 blue and 5 red marbles.
SIZIF [17.4K]

3+5=8

Answer:

2/8

Step-by-step explanation:

probability = total number of items ÷2

=8÷2

=2/£

5 0
2 years ago
Solve the following absolute value inequality graphically: |x|-3>1.
Dovator [93]

Answer:

  x < -4 ∪ x > 4

Step-by-step explanation:

The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.

__

I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...

  |x| -4 > 0

by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.

7 0
4 years ago
A triangle has sides with lengths of 20 meters, 21 meters, and 29 meters. Is it a right triangle?
coldgirl [10]

Answer:

Yes, the sides form a right triangle.

Step-by-step explanation:

<u>Pythagorean Theorem:</u>

a² + b² = c²

↓

20² + 21² = 29²

║a² = 20² = 400

║b² = 21² = 441

║c² = 29² = 841

↓

400 + 441 = 841

║This equation is true.

↓

Yes, the sides form a right triangle.

5 0
3 years ago
On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4
Artemon [7]

Answer:

f of 5 equals negative 1

Step-by-step explanation:

equation- f(x) = -x + 4

f(5) = -5 + 4

f(5) = -1

4 0
3 years ago
Read 2 more answers
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