7.Lin wants to empty her hot tub to clean it. She has a 300 gallon hot tub and
empties it at a rate of 20 gallons each minute. Which equation(s) represent this
situation. Check all that apply.
y=300-20%
y=20x+300
y=-20x300
y=-20x-300

Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

The formula is:

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

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

The parameters are:

In this problem, for the parameters, we consider that:

The probability that more than 3 of these selected children have three siblings is given by:

[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]

In which:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Then:

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

[tex]P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059[/tex]

[tex]P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432[/tex]

[tex]P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669[/tex]

[tex]P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445[/tex]

P(X > 3) = 1 - 0.9445 = 0.0555

0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

0

Step-by-step explanation:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.

The information that banking institutions use to help detect fraudulent

transactions is Historical transaction data.

Banks do use some kind of Encryption to protect their customer's information. Through that, a person's transactions and personal information  are protected online via encryption software.

Note that a lot of times, fraudulent activities do occur and as such banks or Financial institutions through the use of data and data analytics of the transaction process will help them better know what occurred.

Learn more about banking  from

https://brainly.com/question/25664180

Answer:

any number

Step-by-step explanation:

Answer:

$120 before tax.

Step-by-step explanation:

8 * 15 = 120

Answer:

She will pay $120 for 15 shirts

Step-by-step explanation:

multiply 15 x 8 = 120

Hope this helps:)........if not then sorry for wasting your time and may God bless you:)

Answer:

382

Step-by-step explanation:

To find the first multiple, we can just add 191 to itself.

191 + 191 = 382

Best of Luck!

Step-by-step explanation:

382

..................

Answer:

The width is 2

Step-by-step explanation:

The formula is P= (L times W)x2. 6x2=12. 16-12=4. 4/2=2. The width is 2

Answer:

Radius=16m

Step-by-step explanation:

It is given that A cylinder has a height of 23 m and a volume of 18,488 m³. then, the volume of the cylinder is given as:

Substituting the given values, we get

≈

Thus, the radius of the cylinder will be 16m.

Answer:

Radius = 16m

Step-by-step explanation:

It is given that A cylinder has a height of 23 m and a volume of 18,488 m³. then, the volume of the cylinder is given as:

Substituting the given values, we get

[tex]18488=3.14(r^{2} )(23)[/tex]

[tex]18488=72.22(r^{2} )[/tex]

[tex]r^{2} =255.99[/tex]

[tex]r=\sqrt{255.99}[/tex]

[tex]r=15.99[/tex]

[tex]r=16m[/tex]

Thus, the radius of the cylinder will be 16m.

Answer:

3x=38-2

3x=36

3x÷3=36÷3

x=12

Step-by-step explanation:

You start by grouping the like terms on one side, 2 is a constant number so you will group it with the constant 38. When you swap it to the other side of the equal sign, you change its sign. After you will divide both sides of the equation by the coefficient of x which is 3,in order to get the value of x.

Answer:

See below.

Step-by-step explanation:

A) 4 + 10 + 8 = 22

B) 5 - 9 + 1 = -3

C) -8 - 2 + 3 = -7

D) -15 + 8 - 7 = -14

E) 24 + 6 - 12 = 18

F) 18 - 3 - 21 = -6

Answer:

576 cm^2

Step-by-step explanation:

16^2 + 2 x 16 x 10

  256 + 32 x 10

    256 + 320

       = 576

Answer:

c. 456,976,000

Step-by-step explanation:

Number of Letters = 4

Number of Letters on the Alphabet = 26

Total Numbers used = 3

Total Range of Numbers = (0-9)

Since the first 4 characters are letters, the total number of combinations for each of them would equal to 26.

And for the following 3 numbers, the total number of combinations for each of them would equal to 10.

To find the answer, we multiply all the values:

26*26*26*26*10*10*10 = 456,976,000

Answer:

y = 10/1x - 5

Step-by-step explanation:

y=mx+b

m=slope  b=y-intercept

therefore

y=10/1x -5

(10/1 is a fractions just too lazy to make it a fraction on here)

Answer:

Common ratio = 1/2.

G. S.

Step-by-step explanation:

10/20 = 1/2 and 5/10 = 1/2 so its Geometric.

Answer:

y= 11/13x + 36/13

Step-by-step explanation:

y=mx+b

y2 -y1         -4-7 = -11

x1-x2           -8-5= -13

slope is 11/13

Answer:

y = [tex]\frac{11}{13}[/tex] x + [tex]\frac{36}{13}[/tex]

Step-by-step explanation:

First, find the slope of the line passing through the points

Then find the y-intercept of the line

Then construct the formula

1. find the slope

remember the formula

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] is used to find the slope

now plug in the given points

(5, 7)

(-8, -4)

[tex]x_{1} = 5\\y_{1} = 7\\x_{2} = -8 \\y_{2} = -4[/tex]

[tex]\frac{(-4) - (7)}{(-8) - (5)}[/tex]

simplify and solve

= [tex]\frac{-11}{-13}[/tex]

= [tex]\frac{11}{13}[/tex]

2. find the y-intercept

remember the base formula for a line

y= mx + b

where m is the slope and b is the y-intercept

we know the slope, so now plug in one of the given coordinates for a point on the line and slove to find the y-intercept

y = mx + b

y = [tex]\frac{11}{13}[/tex]x + b

use the first set of given coordinates for a point on this line: (5, 7)

7 = [tex]\frac{11}{13}[/tex]  * 5 + b

solve by inverse operations and simplifying

7 = [tex]\frac{55}{13}[/tex] + b

[tex]\frac{36}{13}[/tex] = b

3. construct the formula

now we know the slope and the y-intercept, all we have to do now is substitute it into the base formula for a line:

y = mx + b

where m is the slope and B is the y-intercept

we found that

m = [tex]\frac{11}{13}[/tex]

and

b = [tex]\frac{36}{13}[/tex]

so that means the equation is

y = [tex]\frac{11}{13}[/tex] * x + [tex]\frac{36}{13}[/tex]

Answer:

[tex]2-\sqrt{3}[/tex]

Step-by-step explanation:

[tex]tan15 = tan(45 - 30)=\frac{\tan{45}-\tan{30}}{1+\tan{45}\tan{30}}\\\\=\frac{1-\frac{1}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}}\\\\\\=\frac{\sqrt{3}-1}{\sqrt{3}+1}\\\\\\[/tex]

[tex]=\frac{(\sqrt{3}-1)^2}{3-1}\\=\frac{3+1-2\sqrt{3}}{2}\\=2-\sqrt{3}[/tex]

Answer:

9

Step-by-step explanation

brainlypatrol keep  deleting my answers

jvghiuuytuury   ioiy6r yyguytt7i y7t65yu

The equation [tex]f(t) = \sin(2t)[/tex] is an illustration of a sine function

The equation of the sine function is given as:

[tex]f(t) = \sin(2t)[/tex]

A sine function is represented as:

[tex]f(t) = A\sin(B(t + C)) + D[/tex]

Where

A represents the amplitude

By comparison;

A = 1

Hence, the amplitude of the function is 1

In (a), we have:

[tex]f(t) = A\sin(B(t + C)) + D[/tex]

Where the period is:

[tex]T = \frac {2\pi}B[/tex]

By comparison;

B = 2

So, we have:

[tex]T = \frac {2\pi}2[/tex]

[tex]T = \pi[/tex]

Hence, the period of the function is [tex]\pi[/tex]

Read more about sine wave functions at:

https://brainly.com/question/23214084

Answer:

A on edge

Step-by-step explanation:

Answer:

The angles are 87 degrees and 93 degrees.

Im not sure if its correct-

Step-by-step explanation:

x+(x-6)=180

2x=174

x=87

Answer:

3.14 cm²

Explanation:

1.) 2πr = 20π

2.) r =20/2

3.) r = 10 cm

4.) The radius of the circle = 10 cm

5.) The area = πr2 ≈ 3.14 ×(10)² = 3.14 ×(100) = 314 cm²

6.) 3.14 centimeters squared

Answer:

2.2

Step-by-step explanation:

Answer:

2.2

Step-by-step explanation

The reason for this is because if you turn 1/5 into a 10th then you need to multiply 2/2 x 1/5= 2/10= 0.2. and the 2 goes before the decimal point and you get

2.2

Answer:

95

Step-by-step explanation:

Because I did the math, and it answered 95.

Answer:

solve

Step-by-step explanation:

do 840 divided by 60

Answer:

14 in

Step-by-step explanation:

cubic means three

take the 2 you do have:

6 and 10

multiply them:

60

divide 840 by 60 to get the third:

14

Answer:

67

Step-by-step explanation:

d(n) = 4n + 2

= 4(5) + 2

=22

t(d(n)) = 3(22) + 1

= 67

Answer:

(11, 2 )

Step-by-step explanation:

3y + 2x = 28 → (1)

x = 5y + 1 → (2)

substitute x = 5y + 1 into (1)

3y + 2(5y + 1) = 28 ← distribute parenthesis on left side and simplify

3y + 10y + 2 = 28

13y + 2 = 28 ( subtract 2 from both sides )

13y = 26 ( divide both sides by 13 )

y = 2

substitute y = 2 into (2)

x = 5(2) + 1 = 10 + 1 = 11

solution is (11, 2 )

Look at the left-most part of the blue diagram. It is 1 unit high. The corresponding left-most part of the red diagram is 2 units high, which is twice as high as the blue portion it corresponds to.

The scale factor tells us how to enlarge or shrink the object. In this case, the red figure is twice as tall and wide compared to the blue figure.

You can pick any pair of corresponding sides to get the scale factor.

Answer:

Then there is at most 20 students = 4 groups x 5 students per group

N <=20

Step-by-step explanation:

mark me brainliest!!