NEEEEED HELP ASAP ASAP

Answer:

8.5 ft (nearest tenth)

Step-by-step explanation:

To find the depth of the pool at the deep end, we need to find the height of the right triangle with angle 16.5° and add it to 4.5 ft

Base of the triangle = 35 - 9 - 12.5 = 13.5 ft

Use the tan trig ratio:

[tex]\tan(x)=\dfrac{O}{A}[/tex]

where x is the angle, O is the side opposite and angle and A is the side adjacent to the angle in a right triangle.

Given:

[tex]\implies\tan(16.5)=\dfrac{h}{13.5}\\\\\implies h= 13.5\tan(16.5)\\\\\implies h = 4.0 \textsf{ ft (nearest tenth)}[/tex]

Therefore, the depth of the pool at the deepest end = 4 + 4.5 = 8.5 ft (nearest tenth)

Now

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{P}{B}[/tex]

[tex]\\ \rm\Rrightarrow tan16.5=\dfrac{P}{13.5}[/tex]

[tex]\\ \rm\Rrightarrow P=13.5tan16.5[/tex]

[tex]\\ \rm\Rrightarrow P=13.5(0.3)[/tex]

[tex]\\ \rm\Rrightarrow P\approx 4ft[/tex]

Answer:

$25.01

Step-by-step explanation:

I used simple subtraction:

50 - 24.99 = 25.01

Hope this helps!! :)

Answer:

1. some good reasons are that put the most reviewed lunch at the top and good reasons to change it is that if you change it you could get more reviewers 2. yes it is representative of the population

Step-by-step explanation:

I hope it helps :-)

Reasons to maintain the sample at the top of the display:

Sampling is the process of choosing a portion of a broader group of people or things for research or analysis. Since it is frequently difficult or impossible to test or examine every member of a group, conclusions about the population are instead drawn from a representative sample.

The information provided makes it unclear whether the sample is representative of the population. The sample is more probable to be representative if it was drawn using a random sampling technique and includes a variety of menu items and ratings. However, if the sample wasn't chosen at random or was biased, or if it just included a small portion of the available menu items and ratings, it might not be accurate.

Therefore, reasons to maintain the sample at the top of the display:

Learn more about Sampling, here:

brainly.com/question/29852583

#SPJ2

Answer:

a=30 , b = 0

Step-by-step explanation:

let the two numbers be represented as a and b

a + b = 30... eqn 1

a - b = 30 ...... eqn 2

we then add the two equations to get values for a and b

a + b + a - b = 30 + 30

a + b + a -b = 60

2a = 60  ( diivide both sides by 2)

a = 30

we then put value for a = 30 into  any of the equations to get b

a + b = 30,    30 + b= 30

b = 30 -30   , b = 0

to confirm if the answers are correct, we insert the values for a and b in the two equations.

a + b = 30..... eqn 1,      30 + 0 = 30

a - b = 30 ...... eqn 2   ,    30 - 0  = 30

Answer:

Step-by-step explanation:

So we have : c + 2.5 < 4.3

And it's asking whether c = 1.8 is a solution.

Substitue c = 1.8 in, we get :

1.8 + 2.5 < 4.3
4.3 < 4.3 (not true)

So, c = 1.8 is NOT a solution.

Answer:

No, because c = 1.8 would be wrong and the real answer would be c < 1.8

Step-by-step explanation:

Answer: x = 41

Step-by-step explanation:

Since x and y are complementary angles, that means x + y = 90 degrees.

We are given that y = x + 8

We can substitue y as x + 8 in the complementary angle equation.

Therefore, we get x + x + 8 = 90

2x = 82

x = 41

Answer: 3/2

Step-by-step explanation:

We can cross multiply.

4x = 6.

Divide both sides by 4.

x = 6/4 which simplifies to 3/2

Answer:

120

Step-by-step explanation:

25 + 35 = 60

60 + 60 = 120

Answer

C

Area of a circle is pi r to the power of 2.

so the radius is 6

so pi(6)^2= 36pi

L = person has Lupus

~L = person does not have Lupus

P(L) = 0.02 since 2% of the population has it.

P(~L) = 1 - 0.02 = 0.98, ie 98% of the population does not have it.

------------------

If the person has Lupus, then the test will indicate as such 98% of the time, and do so correctly.

T = person tests positive for Lupus

~T = person tests negative for Lupus

P(T given L) = 0.98

The complement of this is

P(~T given L) = 1 - 0.98 = 0.02 = false negative rate

On the other hand, if a person does not have Lupus, then the test will return negative correctly 74% of the time.

P(~T given ~L) = 0.74

Its complement is

P(T given ~L) = 1 - 0.74 = 0.26 = false positive rate

------------------

Dr House saying "It's never Lupus" can be translated to "If the test is positive, then P(L) = 0"

Phrased another way symbolically:

P(L given T) = 0

-------------------

We'll use Bayes Theorem to determine the value of P(L given T)

In general, Bayes Theorem is

P(A given B) = P(B given A)*P(A)/P(B)

So for this problem, we'll have

P(L given T) = P(T given L)*P(L)/P(T)

We almost have everything needed but we're missing P(T)

So we'll need to use the law of total probability to break that up like so

P(T) = P(T and L) + P(T and ~L)

P(T) = P(T given L)*P(L) + P(T given ~L)*P(~L)

P(T) = 0.98*0.02 + 0.26*0.98

P(T) = 0.2744

-------------------

To recap, we have:

We finally have all the info needed to get the probability we're after.

P(L given T) = P(T given L)*P(L)/P(T)

P(L given T) = 0.98*0.02/0.2744

P(L given T) = 0.07142857142858 approximately

What does this tell us? It says that if a patient gets a positive test for lupus, then there's roughly a 7% chance the test is correct, and the person actually has lupus.

So it's likely Dr House is onto something. The reason why the small result is because a small percentage of the population has the disease.

Also, notice how the false positive rate P(T given ~L) = 0.26 = 26% is fairly high. This also provides more evidence to Dr House's claim.

To be entirely technically accurate, he shouldn't have used "never" because the result of P(L given T) is not zero. But I think a bit of wiggle room can be had for the interpretation of his words.

a)
The dark rectangle : 6x (square units)
The light rectangle : 5 x 6 = 30 (square units)

b) 2 ways to show the area of the entire figure :

6x + 30 square units (sum of 2 area)

6 x (x+5) (length x width, where the width is 6, and length is x + 5)

Hope it helps :)

Answer:

2/9

Step-by-step explanation:

5/9 is white,we have 4/9 left. 4/9 ÷ 2 is 2/9

Hope this helps

Answer:

100 (I believe)

Step-by-step explanation:

The length would be 20
20 x 2 (because we have two sides) is 40

the width would have to be 5 then

5x2 (because we have to sides) is 10

5x4 is 20 (Showing that the length is 4 times the width)

40 + 10 = 50 (Which is the perimeter)

Since we know the length is 20 and the width is 5

we just do

20 * 5 = 100

Answer:

L = 20

Width = 5

Step-by-step explanation:

"The perimeter of the rectangle is equal to 2 times length + 2 times width:

P = 2L + 2W

We know that length is 4 times the width, so L = 4 W

We can now replace l by 4W in the equation of the perimeter:

P = 2L + 2W = 50

P = 2(4W) + 2W = 50

P = 8W + 2W = 50

P = 10W =50

So W = 50 /10

W = 5

And L = 4W

L= 4 (5)

L = 20"

2O × 5 = 100

Answer:

Step-by-step explanation:

This is an arithmetic series.

3 , 5 , 7 ,......

Common difference = second term - first term

                                 = 5 - 3

                                  = 2

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Answer:

Step-by-step explanation:

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

What is trigonometric ratio?

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Answer: 82 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees which is a straight angle.

Let the unknown third angle be x.

Therefore, 86 + 12 + x = 180

98 + x = 180

x = 82

Answer:

The arithmetic sequence formula to find the sum of n terms is given as follows: Sn = n/2 (a1 + an) Where Sn is the sum of n terms of an arithmetic sequence.

Answer:

  142°

Step-by-step explanation:

Angles are supplementary when they total 180°. If one of them is 38°, then the measure of the other angle is ...

  180° -38° = 142°

The larger angle is 142°.

Answer:

Rm5.40

Step-by-step explanation:

First, 20/100 × Rm4.50 = Rm0.90. Second, Rm4.50 + Rm 0.90 = Rm5.40

Please give me brainliest hehe.

Answer: 0.90 BUT IF YOU ROUND UP TO HOLE DOLLARS THEN YOUR TIP WOULD BE 1 DOLLAR

Step-by-step explanation: THAT IS YOUR ANSWER HOPE I HELPED :D

Answer:

if you meant x times y...

15 x 20 is 300.

if you meant x + y...

15 + 20 is 35.

if you meant anything else, please let me know

the way it was written confused me but I tried.

Answer:

8.6 is the answer

Step-by-step explanation:

A = (3,9)

B = (8,2)

d² = (8-3)² + (2-9)²

or, d² = 5² + (-7)²

or, d² = 25 + 49

or, d² = 74

d = 8.6

Answer: Top left i'm pretty sure

Step-by-step explanation: Because there isn't a blue line and you need a blue line for it to be an equation

Answer:

Parallel line

Step-by-step explanation:

The parallel line doesn't connect so it a infinite therefore it means its a no solution line

the difference between the longest and the shortest piece

Answer:

Step-by-step explanation:

First, simplify into the parts given by sum of ratio values.

90cm / 15 = 6 cm

(a) longest piece

= 7 x 6 = 42 cm

(b) difference between longest and shortest

shortest = 3 x 6 = 18 cm

Difference = 42 - 18 = 24 cm

Answer:

        8w² < 4w(150-w)

Step-by-step explanation:

Square area of  living  : w  · w  =  w²

Money spent : 8 · w²

Square area of  artichokes : (150 - w) · w    

Money earned : 4 · w · (150 - w)

Julia manages to save some money every week. That means that the money earned is bigger than the money spent ( the money spent is less than the money earned)

8 · w² < 4 · w · (150 - w)

Answer:

He sold 12 phones and 20 watches.

Step-by-step explanation:

X × 10 = 120. Y × 2 = 40

12 × 10 = 120. 20 × 2 = 40

120 + 40 = $160

Answer:

10 times 3= 30 3 times 10=30 so total is 60 3mphones sold 10 watches sold

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. Vicki's estimated probability, based on this simulation is 0.4167.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given that if the output of the computer is 1, then it represents tails, while the 0 represents the head. Also, the results of 12 trials are 111, 011, 000, 010, 100, 111, 010, 111, 111, 101, 000, 111.

Now, in the set of results, we need to calculate the number of results in which the outcome of tails comes up fewer than 2 times, therefore, we need the output that has 2 or more zeroes in it.

Results with 2 or more zeroes are 000, 010, 100, 010, 000

The number of results with 2 or more zeroes is 5.

The total number of possible results is 12.

The probability That Vicki will get 2 or more heads can be written as,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability(2\ or\ more\ zeroes)=\dfrac{\text{Number of results with 2 or more zeroes}}{\text{Total number of possible results}}[/tex]

[tex]\rm Probability(2\ or\ more\ zeroes)=\dfrac{5}{12} = 0.4167[/tex]

Hence, Vicki's estimated probability, based on this simulation is 0.4167.

Learn more about Probability:

https://brainly.com/question/795909

Answer:

12

Step-by-step explanation:

There are 60 girls in total, and 5 got picked. So if you divide 60 by 5, you get the answer 12.