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geniusboy [140]

2 years ago

5

From a hot-air balloon, Guadalupe measures a 31^{\circ} ∘ angle of depression to a landmark that’s 316 feet away, measuring hori

zontally. What’s the balloon’s vertical distance above the ground?

1 answer:

Anton [14]2 years ago

8 0

Check the picture below.

You might be interested in

How did you solve for mc?

natima [27]

You know that e= mc^2. In order to find the Value of mc, you have to take squareroot on both sides. So,
squareroot of e= mc

5 0

3 years ago

The population of a bacteria sample doubles every 6 hours. How long would it take for the population to triple?

seraphim [82]

The way to solve this question is to essentially reverse the equation I used in the other answer.

I would solve this with some theoretical values. If you start with 3, how long would it take for it to triple, or reach 9.

the equation would look like 9 = 3(2)^t/6, note how the instead of 1/2 it is now 2 in the parenthesis, as it doubles every 6 hours rather than halves every amount of hours.

When placed into an algebra calculator, the answer should be about 9.5 hours

8 0

3 years ago

Read 2 more answers

Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering

Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

$\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04$

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

$z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75$

The probability for this value of z is

$P(x$

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

$\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02$

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

$z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5$

The probability for this value of z is

$P(x$

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0

2 years ago

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?

emmainna [20.7K]

Daniel would be 6 daniel was 1 year 2 years ago 1x4=4 plus put on the 2 years =6

6 0

2 years ago

Read 2 more answers

Kevin is a quarterback on the football team.he completed 36 passes during the season.his second-string replacement,Mark complete

anastassius [24]

36 × $\frac{2}{9}$

Since 9 is a factor of 36 you can reduce the 36 to 4 and the 9 to one

Then just multiply what is left

4 <span>× 2 = 8

So, Mark completed 8 passes.</span>

3 0

3 years ago