Is 9.78778777... a rational or irrational number?

John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a s

STatiana [176]

Answer:

0.32493

Step-by-step explanation:

We have been given that John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes.

We are asked to find the probability that the commute time for a randomly selected day will be between 28 and 34 minutes.

First of all, we will find z-score corresponding to 28 minutes and 34 minutes. Then, we will find area under normal curve between both z-scores.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{28-26.7}{5.1}=\frac{1.3}{5.1}=0.25$

$z=\frac{34-26.7}{5.1}=\frac{7.3}{5.1}=1.43$

Now, we need to find the probability between z-score of 1.43 and 0.25.

$P(0.25$ .

Using formula $P(a$ , we will get:

$P(0.25$

Therefore, the probability, that the commute time for a randomly selected day will be between 28 and 34 minutes, is 0.32493.

6 0

3 years ago

The diameter of a circle is 3.2 meters. Which is the circumference of the circle rounded to the nearest hundredth of a meter?

Paraphin [41]

Answer:

10.05 meters

Step-by-step explanation:

If the diameter is 3.2 meters, then the radius is 1.6 meters.

Use the circumference formula, C = 2 $\pi$ r, and solve for C

C = 2 $\pi$ r

C = 2 $\pi$ (1.6)

C = 3.2 $\pi$

C = 10.05

So, to the nearest hundredth of a meter, the circumference is 10.05 meters

4 0

3 years ago

An elevator has a placard stating that the maximum capacity is 1610 lb---10 passengers. So, 10 adult male passengers can have a

Yuri [45]

Answer:

The probability is "0.6406", this elevator isn't appear to be safe

Step-by-step explanation:

The given values are:

Mean,

$\mu=165$

Standard deviation,

$\sigma=35$

Number of male passengers,

$n = 10$

Now,

⇒ $z=\frac{161-165}{\frac{\sigma}{\sqrt{10} } }$

$=\frac{161-165}{\frac{35}{\sqrt{10} } }$

hence,

The probability will be:

= $P(\bar {x}>161)$

= $P(z > -0.3614)$

= $0.6406$

3 0

3 years ago

(8x - 6) - (7x - 9)<br><br> I hope you're open to me asking more questions in the reply <3

Gekata [30.6K]

Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

5 0

3 years ago

The value of one in 3.100

Korolek [52]

Well, 1 is in the tenths place, which means it's equal to 1 tenth, or 1/10.

8 0

3 years ago

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