Solve: 3.2/s = 0.4/8<br> 640<br> 64<br> 6.4<br> 0.16

An adventure sports club claims to take its hot air balloon to a height of 10,020 feet. The hot air balloon’s elevation is model

PIT_PIT [12445]

C, six minutes; perhaps it’s D, I’m not certain.

3 0

2 months ago

Read 2 more answers

Nina can ride her bike 63,360 feet in 3,400 seconds, and sophia can ride her bike 10 miles in 1 hour. What is nina’s rate in mil

tester [12383]

Answer:

Nina's speed in MPH: 12.706 miles per hour

Nina is quicker than Sophia.

Step-by-step explanation:

To solve this problem, we will convert feet per second to miles per hour and subsequently compare Nina's speed to that of Sophia's.

Nina rides at 63360 feet in 3400 seconds. To perform this conversion, we know that there are 5280 feet in a mile and 3600 seconds in an hour. Applying these conversions, we can calculate the speed in miles per hour.

(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.

Thus, it follows that Nina rides her bike at a rate of 12.706 miles per hour, whereas Sophia rides her bicycle at a rate of 10 miles per hour.

This indicates that Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).

Cheers.

4 0

2 months ago

The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin

PIT_PIT [12445]

Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

The details provided in the question are:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

The weights are distributed in a bell-shaped normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We need to determine the value of x for which the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03$

$=P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.97$

Using the standard normal z table, we find that,

$\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12$

Thus, the value of 8.17 g separates the upper 3% of the weights.

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03$

From the standard normal z table, we derive,

$\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90$

Consequently, 7.90 separates the lower 3% of the weights.

Option D) 7.90 g and 8.12 g

</ptherefore>

7 0

2 months ago

Solve: 3.2/s = 0.4/8 640 64 6.4 0.16