Ask question

Ask question

All categories

3 years ago

9

A 20 foot lamp post casts a shadow that is 28 feet long. Standing next to the lamp post is a 6 foot tall man. About how long is

the shadow of the man

1 answer:

motikmotik3 years ago

8 0

It looks like the shadow for the lamp only went up 8 feet so I assuming it would go up 8 feet as well for the guy

You might be interested in

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$

$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=600*0.4=240$

$\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12$

And then $X \sim N (\mu = 240, \sigma= 12)$

And we are interested on the following probability:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

6 0

3 years ago

Watch help video

julia-pushkina [17]

The 38th term in the sequence is -51

6 0

2 years ago

Y + 12 = y + 10 + 2<br><br> how many solutions does the equation have

hjlf

Answer:

infinite

Step-by-step explanation:

8 0

2 years ago

A football is selling for $35 off the original price. The original price was $60. What is the sale price of the football?

Strike441 [17]

All you have to do it do 60 - 35 = 25 dollars because they want to know if the original price would be 60 dollars and they wanna know the anwser if you took away 35 dollars. so then you just subtract

5 0

3 years ago

Tim is 5 years older than Melissa. The sum of their ages is 21. This system is represented by the equations: t = 5 + m t + m = 2

Triss [41]

Tim is 13 and Melissa is 8

6 0

3 years ago