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Over [174]
3 years ago
5

A factory makes car batteries. The probability that a battery is defective is 1/11. If 500 batteries are tested, about how many

are expected to be defective?
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

45.45 batteries

Step-by-step explanation:

The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:

E= \frac{1}{11}*500\\E=45.45\ batteries

45.45 batteries are expected to be defective.

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What Is the y-intercept of the two points that cross through (8,1) and (-3,1)?
kramer

Answer:

(0,1)

Step-by-step explanation:

The line made by these two points is perfectly horizontal since the value of y in both points is the same. When the y value is the same in all given points, that number is also the y-intercept and the line doesn't cross the x axis.

(The opposite applies as well: If the x value is the same in all given points, that number is also the x-intercept and the line doesn't cross the y axis. In that case, that means the line is vertical)

7 0
3 years ago
2+2 (I have been struggling on this for a long time)
Dmitry [639]
You might need a maths degree for this one, I believe it’s 4 but don’t quote me on that.
5 0
3 years ago
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At which of the following points do the two equations f(x)=3x2+5 and g(x)=4x+4 intersect?
Basile [38]

Answer:

(\frac{1}{3}, \frac{16}{3} ) and (1, 8 )

Step-by-step explanation:

To find the points of intersection equate f(x) and g(x), that is

3x² + 5 = 4x + 4 ( subtract 4x + 4 from both sides )

3x² - 4x + 1 = 0 ← in standard form

(3x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = \frac{1}{3}

x - 1 = 0 ⇒ x = 1

Substitute these values into either of the 2 functions for corresponding y- coordinates.

Substituting into g(x), then

g(1) = 4(1) + 4 = 4 + 4 = 8 ⇒ (1, 8 )

g(\frac{1}{3} ) = \frac{4}{3} + 4 = \frac{16}{3} ⇒ (\frac{1}{3}, \frac{16}{3} )

3 0
3 years ago
Please Help Fast 20 points
Brut [27]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a co
Maurinko [17]

Answer:

The probability that exactly half of the colonies will thrive = (1/3) = 0.3333

Step-by-step explanation:

The list of random numbers simulates the out comes of 4 colonies.

Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?

The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.

Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.

The 6 trials are given as

4285; 3 colonies thrive, 1 doesn't.

6903; 3 colonies thrive, 1 doesn't.

3829; 2 colonies thrive, 2 don't.

7871; 1 colony thrives, 3 don't.

2868; 2 colonies thrive, 2 don't.

5137; 3 colonies thrive, 1 doesn't.

The number of trials where exactly 2 colonies thrive = 2

The total number of trials = 6

The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333

Hope this Helps!!!

3 0
3 years ago
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