Expression a 4 x (1.5 + 100.25 x 3.65) expression b x (1.5 + 100.25) x 3.65

an observer on a cliff 1200 feet above sea level sights two ships due East. The angle of depression to the shops are 48° and 33°

ziro4ka [17]

See the attached figure to better understand the problem

we know that
in the triangle ABC
tan 48°=AB/AC--------> AC=AB/tan48°------> 1200/tan 48°------> 1080.48 ft

in the triangle ABD
tan 33°=AB/AD---------> AD=AB/tan 33°-----> 1200/tan 33°------> 1847.88 ft

the distance between the ships is AD-AC---> 1847.88-1080.48----> 767.4 ft

the answer is
the distance between the ships is 767.4 ft

4 0

3 years ago

What is the product? (x − 3)(2x2 − 5x + 1)

Stella [2.4K]

Answer:

5x2+20x−15

Step-by-step explanation:

4 0

3 years ago

The coordinate grid shows W,X,Y,Z which point is best represented by ordered pair (-3,2.5)

vlabodo [156]

Answer:

ㅎ료 혼혈 메이크업

Step-by-step explanation:

호호 불면서 날씨가 너무 많은 관심 부탁드립니다な屋根やさやかMUGEN Falken

Mazda rx7 veilside Acura NSX Honda integra type r Lamborghini huracan

8 0

2 years ago

A single number between 0 and 9 occurring either alone or in a larger number is called a what

USPshnik [31]

Answer:

A chronilagical corientation

Step-by-step explanation:

My teacher told me :()()()

6 0

3 years ago

Suppose that the waiting time for a license plate renewal at a local office of a state motor vehicle department has been found t

Wittaler [7]

Answer:

$a=30 +1.04*8=38.32$

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.

C) 38.32

Step-by-step explanation:

1) Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the waiting time in minutes of a population, and for this case we know the distribution for X is given by:

$X \sim N(30,8)$

Where $\mu=30$ and $\sigma=8$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

We want to find a value a, such that we satisfy this condition:

$P(X>a)=0.15$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.04$

And if we solve for a we got

$a=30 +1.04*8=38.32$

So the value of height that separates the bottom 85% of data from the top 15% is 38.32.

C) 38.32

7 0

3 years ago