A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What is the area of the flower bed

Answer:

0.2048 = 20.48% probability that exactly two of the five sample families will have no children.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have no children, or they do have children. The probability of a family not having children is independent of any other family. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of the families have no children at all.

This means that [tex]p = 0.2[/tex]

Five families:

This means that [tex]n = 5[/tex]

What is the chance that exactly two of the five sample families will have no children?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.2)^{2}.(0.8)^{3} = 0.2048[/tex]

0.2048 = 20.48% probability that exactly two of the five sample families will have no children.

Answer:

The first one is B and the second is C :)

Answer:

C. 12 and A.5

Step-by-step explanation:

The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to

6-1 = 5

the answer in the photo check it

Answer:

length of one side = 18.75cm

Step-by-step explanation:

Perimeter of a square = 4 x side

                             75 = 4 x side

[tex]side = \frac{75}{4} = 18.75cm[/tex]                            

Answer: 7a+14b+30

How to:  Combine like terms

Have a great day and stay safe ! sorry if im wrong

Answer:

405 feet

Step-by-step explanation:

s = 2 * (√5) * 90

s = 2 * 201.246117975

s = 402.49223595

Closest estimate

405 feet

Answer:

Since The equation that depicts the motion of the Car is given.

The speed in terms of the tire marks...

s= 2√5x

where x is the tire marks(in feet.)

s is the speed(miles per hr)

We can't use the speed in Miles per hr when the tire mark is feet.

1mile = 5280ft

90miles x 5280ft/1mile = 475,200ft/hr

Making x the subject

x= s/2√5

x= 475/200/(2√5 )

=106,257ft

I still can't see what I'm missing or You sure you didn't forget to add something else to the question?

Answer:

2 is scalene

3 is right

4 is right

5 is equalatirel

6 is scalene

7 is isocoles

8 is equalatirel

9 is right

Step-by-step explanation:

Answer:

2: scalene

3: right

4: right

5: equilateral

6: scalene

7: isosceles

8: equilateral

9: right

Step-by-step explanation:

2: A scalene triangle has no congruent sides

3: A right triangle has a 90 degree angle

4: A right triangle has a 90 degree angle

5: An equilateral triangle has 3 congruent sides

6: A scalene triangle has no congruent sides

7: An isosceles triangle has 2 congruent sides

8: An equilateral triangle has 3 congruent sides

9: A right triangle has a 90 degree angle

Answer:

V ≈ 706.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = 5 and h = 9 , then

V = π × 5² × 9

   = π × 25 × 9

   = 225π

   ≈ 706.9 cm³ ( to the nearest tenth )

Answer:

[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]

Answer:

I think it's option B

Answer:

0.4867

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 32.6 ; Standard deviation = 12

For :

P(x > 33)

Z = (33 - 32.6) / 12

Z = 0.4 / 12

Z = 0.0333

Hence, using the Z distribution table :

P(Z > 0.0333) = 1 - P(Z < 0.333)

P(Z > 0.0333) = 1 - 0.51328

P(Z > 0.0333) = 0.48672

Answer:

It's A

Step-by-step explanation:

The r coordinate of x is positive 4 which would be the frist number.

The r coordinate of y is positive 1 which would be the second number.

Answer:

336+76+48+38= 498

Step-by-step explanation:

add all those sides up because it is just the perimeter

Answer:

336+76+48+38= 498

Step-by-step explanation:

Answer:

11520 seconds

Step-by-step explanation:

3.2 x 60= 192 minutes

192 x 60= 11520 seconds

the answer is 35 I did a lot of work I can't show you here

Answer:

The last one: 25%

Step-by-step explanation:

Answer:

25% because 25 is 1/4 of 100

Step-by-step explanation:

Answer:

area=l*b

10*8

80#

Step-by-step explanation:

hope you like it

Answer: 80%

Step-by-step explanation:

Hence, if the numerator is decreased by 40% and the denominator is decreased by 25%, the original fraction is decreased by 80 percent.

Answer:

emm who exactly is chipo bcause i literally have no idea

Answer:

The answer is A.

Step-by-step explanation:

If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).

9514 1404 393

Answer:

  A = 49π/36 or 59π/36

Step-by-step explanation:

The given angle is coterminal with the same angle modulo 2π.

  (563/36)π = 14π +(59/36)π

so the coterminal angle is 59π/36 ≈ 1.6389π, a 4th-quadrant angle. The 3rd-quadrant angle with the same sine value is found by subtracting this angle from 3π:

  A = 3π -(59π/36) = 49π/36

The two values of A that satisfy the equation are ...

_____

In degrees, the two angles are 245° and 295°.

Answer:

option A

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 2x - 2

(f - g)(x) = f(x) - g(x)

           = (3x + 2) - (2x - 2)

           =3x + 2 - 2x + 2

           = x + 4

The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function are,

f(x) = 3x + 2 and g(x) = 2x - 2

Hence, The value of function (f - g)(x) is,

⇒ (f - g)(x) = (3x + 2) - (2x - 2)

⇒ (f - g)(x) = 3x + 2 - 2x + 2

⇒ (f - g)(x) = x + 4

Thus, The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

37.7

Step-by-step explanation:

Circumference = [tex]2\pi r[/tex]

Circumference = [tex](2)(\pi )(6)[/tex]

Circumference = 37.69911184 / 37.7

Therefore, circumference of the circle with the radius 6 cm is 37.7.

Answer:

37.7

Step-by-step explanation:

formula for circumference of a circle=2πr

2×π×6=37.7cm

Answer:

0.0006

Step-by-step explanation:

The probability is

Given that

A denotes the bottle being filled improperly

And,  

B denotes the label on the bottle will not be affixed properly

So,

P(A) = 0.02 ,

ANd, P(B) = 0.03

Also that A and B are independent events.

So, by property of independence is

P(A \cap B) = P(A and B) = P(A) P(B)

= P(A and B) =P(A)P(B)

= 0.02 × 0.03

= 0.0006

Answer:

See the attachment ⬆️⬆️

Answer:

300

Step-by-step explanation:

Find the y value when x = 60

Looking at the graph when x=60, y= 300

Answer:

Step-by-step explanation:

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Find The Hypotenuse of A

Tan(A) = Opposite / Adjacent

Tan(A) = 15/8

Opposite = 15

Adjacent = 8

Hypotenuse = c

c^2 = opposite^2 + Adjacent^2

c^2 = 15^2 + 8^2

c^2 = 225 + 64

c^2 = 289

sqrt(c^2) = sqrt(289)

c = 17

Find the opposite of B

Adjacent = 12

Hypotenuse = 37

Opposite = b

adjacent^2 + opposite^2 = hypotenuse^2

12^2 + b^2 = 37^2

144 + b^2 = 1369

b^2 = 1369 - 144

b^2 = 1335

b = 35

Definitions

Sin(A) = Opposite / hypotenuse = 15/17

Sin(B) = opposite / hypotenuse =  35/37

Cos(A) = 8/17

Cos(B) = 12/37

Answer

Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)

Cos(A + B) = 8/17 * 12/37 - 15/17*35/37

Cos(A + B) = 96/629 - 525/629

Cos(A + B) = -429/629

Answer:

1180.2

Step-by-step explanation:

The average of 1,000,2300,1000,2600 is 1180.2