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2 years ago

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A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato will pull a pen from the bag. Write two different scenarios: o

ne that is a dependent event and one that is an independent event.

1 answer:

Novosadov [1.4K]2 years ago

5 0

Answer:P(red) = 4/15 P(black) = 6/15 P(red or black) = 4 / 15 + 6 / 15 = 10 / 15 = 2 / 3

Step-by-step explanation

big math

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Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.

We know that,

$a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}$

Next, we need to plug in the known values and calculate the value of $f(2.1)$ :

${L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)$

Then

$f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360$ .

6 0

3 years ago

Why is (5+2) to the second power is not equal to 5 to the second power plus 2 to the second power is not equal

Olin [163]

Because 5 +2 is 7 and seven to the second power is 49. On the other hand 5 squared is 25 and 2 to the second power is 4 when you ad them together you get 29 you are taking to completely different numbers to the power of two and that’s why they aren’t equal

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3 years ago

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a production manager tests 10 toothbrushes and finds that their mean lifetime is 450 hours. she then designs a sales package for

Scorpion4ik [409]

The answer was "Probability-based inference", you got apex too?

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4 years ago

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The mean of a population being sampled is 64, and and the standard deviation is 6. If the sample size is 50, the standard error

Fiesta28 [93]

Given:
mean = 64
standard deviation = 6
sample size = 50

Standard error of the sample mean = standard deviation / √sample size

Standard error = 6 / √50 = 6/7.07 = 0.85

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3 years ago

This is such an easy question so could you answer it? thanks will give brainliest and a medal:)!

Ugo [173]

The answer is 14 if you add all numbers in the chart 70 and above the answer will be 14

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3 years ago