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10 days ago

Ben used 325 centimeters of ribbon to trim banners he made. How many meters of ribbon did he use?

Mathematics

2 answers:

lawyer [12.5K]10 days ago

4 0

It is 3 meters and 25 centimeters of ribbon.

tester [12.3K]10 days ago

3 0

The answer is 3.25 meters.

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The exchange rate at the post office is £1=€1.17 how many euros will you get for £280

Zina [12379]

To convert £280 at the post office exchange rate of £1=€1.17, you calculate: 1£: 1.17€ = 280£: x. Thus, x = 1.17 * 280, giving us x = 327.6 €. Verification shows this calculation is sound.

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26 days ago

An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

Zina [12379]

Answer:

The chance that there is one or more defective integrated circuits is 33.10%.

Detailed solution:

Each integrated circuit can be either defective or not, which provides only two possible outcomes. As a result, this scenario is well-suited to be analyzed using the binomial probability distribution.

About the binomial distribution

This distribution calculates the likelihood of exactly x successes in n repeated trials where each trial has two possible results.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

Here, $C_{n,x}$ represents the count of combinations of x items selected from n elements, described by the formula:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of the event X occurring.

Applying it to the problem

The product contains 40 integrated circuits, so $n = 40$ .

The probability that an individual integrated circuit is defective is 0.01, so $\pi = 0.01$ .

Finding the probability of at least one defective circuit

There are two cases: either at least one integrated circuit is defective (probability $P(X > 0)$ ) or none are defective (probability $P(X = 0)$ ). Since probabilities sum to 1, we want to determine $P(X>0)$ .

$P(X > 0) + P(X = 0) = 1$

$P(X > 0) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{40,0}.(0.01)^{0}.(0.99)^{40} = 0.6690$

$P(X > 0) = 1 - P(X = 0) = 1 - 0.6690 = 0.3310$

Hence, the probability of having one or more defective integrated circuits is 33.10%.

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1 month ago

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If f is a function, then f(3x)=3f(x)

babunello [11817]

This statement is incorrect.
In f(3x), the input 'x' is multiplied by 3 prior to being substituted into the function.
Conversely, with 3f(x), the result (output) is multiplied by 3 after you have calculated the output from the input value.

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20 days ago

A function f(x) has x intercepts of -3 and -5. What is the constant term in the function?

Zina [12379]

The function's constant term is 5. Step-by-step explanation: we have where b represents the y-intercept or the constant term of the function. The x-intercept indicates the value of x when the function equals zero. Thus, for x = -3, f(x) = 0 and for x = -5, f(x) = 0. Substitute either of the intercepts into the function. Check the other intercept as well. For x = -5, this is proven to be true. Hence, the consistent term in the function is 5.

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19 days ago

Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use t

lawyer [12517]

Response:- 0.8/8+x=5/100

Detailed explanation:

6 0

1 month ago

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