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3 years ago

12

If you place a 45-foot ladder against the top of a 36-foot building, how many feet will the bottom of the ladder be from the bot

tom of the building?
Using pythagorean theorem

1 answer:

ad-work [718]3 years ago

5 0

Do you mean the top of the ladder and the top of the building? If so, it would be 9 feet<span />

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Liam is going on a vacation to Australia. His flight leaves at 3:15 P.M. It takes 1 hour and 35 minutes to get to the airport, a

Leni [432]

Answer:

12:40 is the anwser

Step-by-step explanation:

If his flight leaves at 3:15 and it takes and hour and 35 minutes to gett there than you would have to subtract 1 hour and 35 minutes from 3:15 so

3:15 minus 1 hour is 2:15

2:15 minus 35 minutes is 1:40

so now he wants to be and hour and 35 minutes earlier so the anwser would be

2:15 minus 1 hour is 1:15

1:15 minus 35 minutes is 12:40

8 0

2 years ago

A wireless phone company determines the 12 bones out of every 350 phones are returned because of defective screens if the compan

Varvara68 [4.7K]

Answer:

68.5

Step-by-step explanation:

Use a slash = slash or a proportion

12 to 350 as x to 2000

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3 years ago

If c+1/d=5 , what is the value of 30d/2c+2

klemol [59]

Answer:

3

$d\in R,\hspace{5}d\neq 0$

Step-by-step explanation:

You can solve for any variable. From the first equation, let's solve for c :

$\frac{c+1}{d} =5\\\\c+1=5d\\\\c=5d-1$

Now, replace the value of c into the other equation:

$\frac{30d}{2c+2} \\\\\frac{30d}{2(5d-1)+2} \\$

Using distributive property

$\frac{30d}{10d-2+2} =\frac{30d}{10d} =3$

However, keep in mind that this is true for:

$d\in R,\hspace{5}d\neq 0$

8 0

3 years ago

The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check

Verdich [7]

Answer:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =150$ represent the population standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

$\bar X = \frac{740+920}{2} = 830$

and the margin of error is given by :

$ME = \frac{920-740}{2}= 90$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11$

So the answer for this case would be n=11 rounded up to the nearest integer

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2 years ago

Can you please help me with this urgently need help?<br> It is grade 12 advance function question

andrey2020 [161]

Answer: The spin of the wheel by the contestant is an illustration of a sine function whose equation is y = -1.25sin(0.8x + 0.25)

8 0

1 year ago

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