By the fundamental theorem of calculus,

$\displaystyle F'(x)=\frac{\mathrm d}{\mathrm dx}F(x)=\frac{\mathrm d}{\mathrm dx}\int_0^x\sqrt{t^3+1}\,\mathrm dt=\sqrt{x^3+1}$

which means

$F'(2)=\sqrt{2^3+1}=\sqrt{8+1}=\sqrt9=3$

7 0

4 years ago

Incorrect, 12.1.53

Ganezh [65]

0.442

Step-by-step explanation:

Step 1 :

Given that 11% of the lights are defective.

So probability of a light randomly chosen is defective is .11

This implies probability of a light randomly chosen is not defective is 1 - .11 = .89

Step 2 :

In a pack of 5 light bulbs the probability that none of them are defective is (0.89)^ 5

Hence the probability that at least one of the light bulbs is defective is

1-(0.89)^ 5 = 1 - 0.558 = 0.442

5 0

3 years ago

What is 40/6 in simplest form?

svetoff [14.1K]

$Divide
 \\ \frac{40}{6}= \frac{20}{3}$

5 0

3 years ago

Read 2 more answers

For children between the gages of 10 months and 298 months, there is an approximately linear relationship between height and age

Alex787 [66]

Answer: 987

Step-by-step explanation:

6 0

2 years ago