How high up on a wall does a 50 ft ladder reach if the bottom of the ladder is placed 14 ft from the base of the building

Mathematics

1 answer:

-BARSIC- [3]3 years ago

7 0

Answer:

48 ft

Step-by-step explanation:

You might be interested in

Can someone lead me through the steps.. IDK what to do

hammer [34]

The equation shown presented how to convert degrees Celcius to degrees Fahrenheit. In order to get and solve for F given the equation, these are the steps.

C = [5 * (F-32)] / 9
9C = 5 * (F - 32)
9C = 5F - 160
9C + 160 = 5F
5F = 9C + 160
F = (9C / 5) + (160 / 5)
F = [ (9/5) * C ] + 32

So, the correct answer for this question is F = [ (9/5) * C ] + 32

5 0

4 years ago

Which isn't the least expensive per Oz rounded to the nearest cent 20oz for $1.79 or 2 pounds 2 Oz for $2.59

Mars2501 [29]

This problem calls for calculating the unit cost in each case and then comparing the unit costs.

$1.79

---------- = $0.09/oz

20 oz

Noting that 1 lb = 16 oz,

$2.59

---------- = $0.14

18 oz

$1.79 for 20 oz is definitely the better buy (less expensive) when compared to $2.59 for 18 oz.

7 0

3 years ago

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got: