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4 years ago

what is the length of a circle that has a central angle of 98 degrees and 6 cm rounded to the nearest 100th. using 3.14

1 answer:

5 0

Arc length = 2 $\pi$ r * Θ/360 = $\pi$ d * Θ/360
so...
If we take pi to be 3.14,
Arc length = 2(3.14)(6) * 98/360
= 37.68 * 98/360 = 10.26 cm

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The number of defective parts produced by a process in one day has a Poisson distribution with a mean of 10. Each defective part

hammer [34]

Answer:

9.48% probability that exactly 12 parts are produced in one day

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

The number of defective parts produced by a process in one day has a Poisson distribution with a mean of 10.

This means that $\mu = 10$

What is the probability that exactly 12 parts are produced in one day

This is P(X = 12).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 12) = \frac{e^{-10}*(10)^{12}}{(12)!} = 0.0948$

9.48% probability that exactly 12 parts are produced in one day

6 0

3 years ago

Write the equation of the line passing through the points (0,-1) And (3,7)

Brums [2.3K]

Answer:

$\frac{3}{8}$

Step-by-step explanation:

$M=\frac{x2-x1}{y2-y1}$

$M=\frac{3-0}{7-(-1)}$

$M=\frac{3}{8}$

4 0

3 years ago

Which equation represents an exponential function that passes through the point (2, 80)?

s2008m [1.1K]

Answer:

D) f(x) = 5(4)ˣ

Explanation:

(x, y) = (2, 80)

Check by inserting x = 2

A) y = 4(x)⁵ = 4(2)⁵ = 128

B) y = 5(x)⁴ = 5(2)⁴ = 80 - passes

C) y = 4(5)ˣ = 4(5)² = 100

D) y = 5(4)ˣ = 5(4)² = 80 - passes

An exponential equation is in a(b)ˣ format, so only f(x) = 5(4)ˣ is an exponential equation which passes the point (2, 80)

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2 years ago

Carlo attends art class every 4 wee,s chess club, every 2 weeks, and fencing lessons every 3 weeks. If he attended all three thi

andreev551 [17]

In 12 weeks because

6 0

3 years ago

Read 2 more answers

the product of two number is 42.they are two consecutive numbers. the two numbers are both less than 10. what is the answer?

Serhud [2]

Answer:

6 and 7

Step-by-step explanation:

You first want to find the factors of 42. They are:

1,2,3,6,7,14,21,42

The factor pairs are:

1 & 42
2&21
3&14
6&7

The only factor pair with consecutive numbers is 6 and 7. They are both less than 10 as well, so 6 and 7 works.

6 0

3 years ago