All categories

2 years ago

What is the answer 3r =30

Mathematics

2 answers:

zhuklara [117]2 years ago

7 0

Answer:

r=10

Step-by-step explanation:

RUDIKE [14]2 years ago

5 0

Answer:

Step-by-step explanation:

$3r = 30 \\ \frac{3r}{3} = \frac{30}{3} \\ r = 10 \\$

You might be interested in

The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive number of cars entering the

viva [34]

Answer:

A Poisson model seems reasonable for this problem, since we have the mean during the time interval.

There is a 1.9% probability that the number of autos entering the tunnel during a two-minute period exceeds three.

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 time interval.

The mean number of automobiles entering a mountain tunnel per two-minute period is one.

This means that $\mu = 1$ .

For a Poisson model to be reasonable, we only need the mean during the time interval. So yes, a Poisson model seems reasonable for this problem.

Find the probability that the number of autos entering the tunnel during a two-minute period exceeds three.

We want to find $P(X>3)$

Either this number is less or equal to 3, or it exceeds 3. The sum of the probabilities is decimal 1. So:

$P(X \leq 3) + P(X > 3) = 1$

$P(X > 3) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = \frac{e^{-1}*1^{0}}{(0)!} = 0.3679$

$P(X = 1) = \frac{e^{-1}*1^{1}}{(1)!} = 0.3679$

$P(X = 2) = \frac{e^{-1}*1^{2}}{(2)!} = 0.1839$

$P(X = 3) = \frac{e^{-1}*1^{3}}{(3)!} = 0.0613$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3679 + 0.3679 + 0.1839 + 0.0613 = 0.981$

Finally

$P(X > 3) = 1 - P(X \leq 3) = 1 - 0.981 = 0.019$

There is a 1.9% probability that the number of autos entering the tunnel during a two-minute period exceeds three.

8 0

4 years ago

Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?

Svetach [21]

Answer:

128°

Step-by-step explanation:

<u>The measure of an inscribed angle is half the measure of the intercepted arc.</u> That means that the intercepted arc is two times the inscribed angle.

Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.

$m\overset{\huge\frown}{DF} = 2 \times m\angle DE F = 2 \times 64^\circ = 128^\circ$

6 0

2 years ago

Help me find the answer for this Acellus question! Find CD.

NISA [10]

I think the answer is 4 but i may be wrong. I hope this helps

4 0

3 years ago

Read 2 more answers

A person on a moving sidewalk travels 21 feet in 7 seconds. the moving sidewalk has a length of 180 feet. howlong will it take t

Rudik [331]

Answer:

same as the answer of him or her

Step-by-step explanation:

hshdhdhxjzisndfbjaixnsnsiixsi

5 0

3 years ago

Please help, Im really struggling

Ratling [72]

A. All of the members of the PTA.

4 0

3 years ago

Read 2 more answers