7.5 x 10^7 divided by 37 simplified

Which of the following are true statements about David Hilbert?

Lunna [17]

Answer:

he invented the point

he was a German mathematician

he Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Mr. jovanovski is having wood flooring

Mars2501 [29]

Answer:

By definition the area of a rectangle is:

A = l * w

Where,

l: long

w: width

So we have to clear the width:

w = A / l

Substituting the values:

w = (234) / (18) = 13

w = 13 feets

answer

the width, in feet, of the room is 13

Step-by-step explanation:

3 0

2 years ago

You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man

Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials $=\frac{3}{7}$

and probability of my friend's winning is $=1-\frac{3}{7}=\frac{4}{7}$

Let there be n numbers of trials.

Therefore, my score after n trials $=\frac{3n}{7}$

and my friend's score after n trials $=\frac{4n}{7}$

Now, the number of trials my friend won more than me is

$\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}$

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

$\frac{n}{7}=5\\n=7\times5=35$

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win $\frac{3\times 35}{7}=15$ trials

and my friend will win $\frac{4\times 35}{7}=20$ trials.

Hence, my friend won 5 more trials than me.

3 0

2 years ago

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when $M = 0.3, \sigma = 4.103$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.3 = 1.96*\frac{4.103}{\sqrt{n}}$

$0.3\sqrt{n} = 1.96*4.103$

$\sqrt{n} = \frac{1.96*4.103}{0.3}$

$(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}$

$n = 718.57$

Rouding up

We need a sample size of at least 719

6 0

2 years ago

Robert was able to travel 292.0 miles in 4.000 hours and used 38 liters of gasoline. What was robert's speed in feet per second?

torisob [31]

Distance traveled by Robert = 292 miles

Time taken by Robert to cover this distance = 4 hours.

Now converting miles in feet.

1 mile = 5280 feet

so, 292 feet = 292 * 5280 = 1541760 feet

Now converting 4 hours in seconds.

1 hour = 3600 seconds

so, 4 hours have 3600 * 4 = 14400 seconds.

Now the question says, we have to find the speed in feet per second

$speed = \frac{distance}{time}$

equals,

$\frac{1541760}{14400}$

= 107.067 feet per second

8 0

2 years ago