The diagram below shows a park
district's plans for a new water
playground.
451/2
50 ft
What is the area of the new water
playground in square feet?


PLEASE HURRY

Use the PMF for the given distribution:

[tex]P(X=x) = \begin{cases}\dbinom{15}x 0.8^x (1-0.8)^{15-x} & \text{if } x \in\{0, 1, 2, \ldots, 15\} \\ 0 & \text{otherwise}\end{cases}[/tex]

Then the probability that X = 14 is

[tex]P(X=14) = \dbinom{15}{14} 0.8^{14} 0.2^1 \approx \boxed{0.1319}[/tex]

Answer:

irrational

Step-by-step explanation:

Answer:

The correct answer is 37°

Answer:

c2= 55

Step-by-step explanation:

c2=a2+b2

=33^+44^

= 3025

or,c2=(55)2

:c=55

Answer:

H = 55

Step-by-step explanation:

Applying Pythagoras' theorem,we obtain

Hence,the length of hypotenuse is 55.

Algebraic properties can be applied in any mathematical equation.

There are several algebraic properties; they include:

All these properties can be applied in a mathematical equation.

An instance is as follows:

3(x + 2) = 18

Method 1

Apply the distributive property

3x + 6 = 18

Apply the subtraction property of equality

3x = 12

Apply the division property of equality

x = 4

Method 2

Apply the division property of equality

x + 2 = 6

Apply the subtraction property of equality

x = 4

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[tex]Explanation[/tex]

This is very basic all you have to look at is the 2x because whenever the number has a variable with [tex]x[/tex] it means its the slope and the slope will tell you whether they are parallel or perpendicular.

so as you can see the slopes are alike because they are both 2x

Thus, the answer is Parallel

//-carry on learning-//

Answer:

xy=30, when y is 15 by substitute 15 in place of y then dividing both side by 15 we get x=2

Answer:

that's easy all you have to do is find out what is the value of x then divided by 2 once you divide by 2 subtract 3x 18 and 0

Answer:

Answer will be 50

Step-by-step explanation:

Let us suppose, present age of Nuri be ‘x’ years and present age of Sonu be ‘y’ years.

Now, it is given that five years ago, Nuri was thrice old as Sonu. Hence,

Five years ago,

Nuri’s age = x-5 years

Sonu’s age = y-5 years

And relation between ages can be given as

Nuri’s age = 3×sonu’s age or

x-5 = 3(y-5)

x-5 = 3y-15

x-3y+10 = 0 ………..(i)

Another relation is given in the problem that ten years later, Nuri is twice as old as Sonu.

So, ten years ago,

Nuri’s Age = x+10

Sonu’s Age = y+10

And relation between ages can be written as

x+10 = 2(y+10)

x+10 = 2y+20

x-2y-10 = 0 …………..(ii)

Now we can solve the equation (i) and (ii) to get values of x and ‘y’ or present ages of Nuri and Sonu.

Value of ‘x’ from equation (i) be

x = 3y-10 ……….(iii)

Putting value of ‘x’ from equation (iii) in equation (ii) we get,

3y-10-2y-10 = 0

y = 20

Now, from equation (iii) value of ’x’ can be given as,

x= 3(20)-10

x = 50

Hence, the present ages of Nuri and Sonu are 50 years and 20 years respectively.

Answer: 2,400 doctors used brand X aspirin.

Step-by-step explanation: The question notifies us that 3,600 total doctors were surveyed. This automatically lets us know that 6/6 doctors = 3,600 doctors. We can find the unit rate from this point by dividing 3,600 by 6. We will find that 600 doctors represents 1/6 doctors. We can multiply our unit rate by 4 to find that 4 out of 6 doctors, or 2,400 doctors, use brand X aspirin. 4/6 of 3,600 is 2,400, so 2,400 doctors used brand X aspirin. Hope this helps!

Answer:

1200 doctors

Step-by-step explanation:

60% of doctors use brand X aspirin.

So, what is 60% of 2000?

(0.6) (2000) = 1200

1200 out of the 2000 use brand X.

Answer:

the first option

Step-by-step explanation:

variability !

what does that word tell us ?

it means that there are more individuals differences.

you could also use "accuracy" as the opposite - we are aiming for the mean value ...

imagine some bow and arrow tournament.

who wins ?

the person with the highest accuracy across all the attempts (and that means the lowest variability in the results across all attempts relatively to the target center representing the predefined mean value).

now look at the graphic for neighborhood A.

and then for neighborhood B.

which one has the data points more clustered around the center (where the mean value is going to be) ? this one has lower variability than the one where the data points are having more than one cluster or are even all over the place.

remember, for the variability you have to add all the differences to the mean value. the smaller the differences to the mean value, the smaller the variability.

in neighborhood B almost all data points have a larger difference to the mean value.

so, the variability will be higher here.

Answer:

Step-by-step explanation:

Answer:

2D8

Step-by-step explanation:

To convert decimal number 728 to hexadecimal, follow these steps:

step 1 =Divide 728 by 16 keeping notice of the quotient and the remainder.

step 2 =Continue dividing the quotient by 16 until you get a quotient of zero.

step 3 =Then just write out the remainders in the reverse order to get hexadecimal equivalent of decimal number 728.

Using the above steps, here is the work involved in the solution for converting 728 to hexadecimal number:

728 / 16 = 45 with remainder 8

45 / 16 = 2 with remainder 13 (D)

2 / 16 = 0 with remainder 2

Then just write down the remainders in the reverse order to get the answer, The decimal number 728 converted to hexadecimal is therefore equal to :

2D8

Answer:

see the attachment photo!

The sum of √30 + √50 lies between 12 and 13.

The square root of a number can be described as number that when multiplied with itself yields that number.

√30 = 5.48

√50 = 7.07

5.48 + 7.07 = 12.55

The consecutive integers are 12 and 13

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Answer:

c

Step-by-step explanation:

the answer to this quistion is becasue 36 is an propile number

Answer:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

Step-by-step explanation:

I'm just a smart guy

Answer:

3

Step-by-step explanation:

To find the Greatest common factor (GCF) of 3m-12n we find the highest letters and/or numbers that is a factor of both :

3m-12n

Both have a common factor of 3 :

[tex]\frac{3m-12n}{3} = m-4n[/tex]

m-4n cannot be simplified anymore so the gcf of 3m-12n is 3.

Hope this helped and have a good day

Answer:

b 50 degrees bavaggagshdd

0.45° in minutes is 27.36 minutes and in seconds is 21.6 seconds.

Why is it necessary to divide decimal degrees by 60 to obtain minutes and seconds?

How 0.45° is converted to equal minutes and seconds?

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Answer:

Adults = 448

Students = 888

Step-by-step explanation:

Write equations with info given

A = Adult tickets

S = Student tickets

5A+1S=3,128

A+S=1336

Subtract equations from each other

4A=1792

Solve for A

A=448

Plug A into second equitation

448+S=1336

Solve for S

S=888

Answer: The correct answer is $7.60.

Step-by-step explanation: First, you multiply 1.90 and 3. This gives you 5.7. Then, you add 1.9. This gives you $7.60.

Answer:

£7.60

Step-by-step explanation:

Alicia found £1.90, we can give this the value x

Her brother found triple the amount, or 3x

In total they found 4x

If £1.90 is x, 4x is £7.60

Answer:

2 ± √3

Step-by-step explanation:

           x² - 4x = -1

                 4 ÷ 2 = 2

          2² = 2* 2 = 4

          x² - 4x + 4 = -1 + 4

          x² - 4x + 4 = 3

         x² - 2 * x * 2 + 2² = 3

            (x - 2)² = 3

             x - 2 = ±√3

                    x = 2 ± √3

Answer:

? = 41.41°

Step-by-step explanation:

The known side length is adjacent to the angle we need to find hence we will use cosine

cosx = adjacent /hypotenuse

cos(?) = 6 / 8

simplify fraction, cos(?) = 3 / 4

? = arccos(3 / 4)

Answer:

8.92 * 10^10

Step-by-step explanation:

1. Convert to decimal notation

[tex]8.92*10^6[/tex]

The exponent is 6, making it 10 to the power of 6. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 6 time(s):

8.92 -> [tex]8920000[/tex]

2. Final result

[tex]8920000[/tex]

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

8.92 * 10^10

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Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is [tex]1.898*10^{27}[/tex]kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.

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

Scientific notation is also referred to as scientific form or standard index form, or in the UK, standard form.

Answer:

4<y

Step-by-step explanation:

1st step:9=5+y

2nd step: 9-5=y

3rd step: 4=y

4th step: 4<y

Answer:

y > 4 or 4 < y

Step-by-step explanation:

In this inequality, the < sign, also known as the less than sign, means that 9 is less than the value of 5 + y. Solving inequalities can be simple to do - let's begin!

9 < 5 + y

We know that we must isolate y to determine its value. We can do this by subtracting 5 from both sides of the < sign.

9 - 5 < 5 + y - 5

Simplify!

4 < y  → This means that 4 is less than y. Let's rewrite this.

y > 4 → Rewritten, your answer looks like this! This now states that y is greater than 4, which is the same as 4 being less than y.

For more information regarding inequalities, be sure to check out the following answers!

Answer:

24%

Step-by-step explanation:

there are 50 numbers total

number of 4's: 7
number of 7's: 5

it's asking for the odds of a 4 or a 7 meaning that they're fine with either one. that means you can ADD the number of them up!

7 + 5 = 12

to get the odds, we need to divide!

convert that into a percent!

24%

let me know if you're still confused :))