A city has a 20% chance of having a flood in any given decade. The table shows the results of a simulation using random numbers to find the experimental probability that there will be a flood in the city in at least 1 of the next 5 decades. In the table below, 1 represents a decade with a flood. The numbers 2 to 5 represents a decade without a flood.​

Answer:

14.3%

Step-by-step explanation:

subtract 320 with 280 which is 40. divide 40 with 280 and multiply that will 100. You get 14.3%

Answer:

14.28 %

Step-by-step explanation:

cost price of an umbrella = 280

selling price of an umbrella = 320

profit% = SP - CP / CP *100%

=320 - 280/280 * 100

=40/280 * 100

=4000/280

=14.28

Answer:

Step-by-step explanation:

Rate of increase = r = 25%

n = number of years = 6

P = Current population = 3000

Population after n years = [tex]P*(1 + \frac{r}{100})^{n}[/tex]

            [tex]= 3000 * (1 +0.25)^{6}\\\\= 3000 * (1.25)^{6}\\\\= 3000 * 3.8\\\\= 11400=[/tex]

Answer:

A

Step-by-step explanation:

If lines are parallel and intersected by another line then there are 2 alternating angles between them.

Answer:

they intersect at 0,-2

Answer:

"D"

the start point is below zero and is doing deeper

Step-by-step explanation:

Answer:

I would say Group A

Step-by-step explanation:

There is more of the latter half than the first half, meaning there is low variability but high consistency in the second half.

Answer:

the number of student that took the test is missing

I think it is 100?

79 is 1 sigms (1 standard deviation) above the mean....

1 sd is 84% ... 16% are above the 79

multiply the students that took the test by .16

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 159. i just took the test and got it right

Answer:

-3x+30

Step-by-step explanation:

[tex]4\left(x+7\right)-7x+2[/tex]

Expand [tex]4(x+7)= 4x+28[/tex]

[tex]4x+28-7x+2[/tex]

Simplify [tex]4x+28-7x+2[/tex]

[tex]-3x+30[/tex]

Answer:

m = 3

Step-by-step explanation:

5m + 1 = 3m + 7

2m = 6

m = 3

The value of m in the figure is 3

From the question, line segments GH and HK are congruent.

So, we have:

GH = HK

Substitute known values

5m + 1 = 3m + 7

Collect like terms

5m - 3m = -1 + 7

Evaluate the like terms

2m = 6

Divide both sides by 2

m = 3

Hence, the value of m in the figure is 3

Read more about quadrilaterals at:

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Answer:

[tex]\approx 68\%[/tex]

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

Answer:

Step-by-step explanation:

Given:

The squares between 4.9 and 5.1 represent:

Relevant z- scores are:

From the z-score table we get:

The data between these points is:

The correct answer for the equation is: solutions (2,0) and (5,3).

According to the question, the expression can be simplified by substituting the values in the expression:

Therefore the required expression can be written as:

(x = 2; y = 0) and (x = 5; y = 3)

[tex]y = x-2 = 2-2 =0[/tex]

[tex]y = x-2 = 5-2 =3[/tex]

Both the solutions satisfied the given expression.

(x = 2; y = 0) and (x = 5; y = 3)

[tex]y=x^{2} -6x+ 8 = 4 -12+8=0[/tex]

[tex]y=x^{2} -6x+ 8 = 25 -30+8=3[/tex]

Both the solutions satisfied the given expression.

Hence, the correct answer for the equation is: solutions (2,0) and (5,3).

What is simplification?

The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

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Answer:

Step-by-step explanation:

2(9a - 6) = 2*9a - 2*6 = 18a - 12    

Yes, it is equivalent.

6*(3a-2) = 6*3a - 6*2 = 18a - 12

Yes, it is equivalent.

-3(6a+4)= -3*6a + 4*(-3) = -18a - 12

No, not equivalent

3(6a+4) = 3*6a + 3*4 = 18a + 12

No, not equivalent

-3(4-6a) = -3*4  - 6a*(-3 )  = -12 + 18a = 18a - 12

Yes, it is equivalent.

Answer:

Step-by-step explanation:

2(9a - 6) = 2 × 9a + 2 × (-6)

= 18a - 12

6(3a - 2) = 6 × 3a + 6 × (-2)

= 18a - 12

- 3( 4 - 6a ) = - 3 × 4 + (-3) × (- 6a)

= - 12 + 18a = 18a - 12

Answer:

18 i think sorry if i am wrong

Step-by-step explanation:

Answer:

56851200

Step-by-step explanation:

The expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12

A number is a mathematical entity that can be used to count, measure, or name things. For an example, 1, 2, 56 etc. are the numbers.

It is given that:

The word expression:

"five thousand six hundred eighty-five and twelve hundredths"

The number would be:

= 5685.12

In the expanded form the number can be written as:

The expanding form can be used to indicate the value of each digit in a number in arithmetic.

Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.

Expanded Form:

5685.12 = 5000 + 600+ 80 + 5 + 0.1 + 0.02

Thus, the expanded form of the number is 5000 + 600+ 80 + 5 + 0.1 + 0.02 and the number is 5685.12

Learn more about the number here:

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Answer:

5x2-7x-1

Step-by-step explanation:

STEP1:Equation at the end of step 1

((5x2 - 7x) - 3) + 2

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  5x2-7x-1 

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   5 • -1 = -5 

Step-2 : Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -7 .

     -5   +   1   =   -4     -1   +   5   =   4

Answer:

Step-by-step explanation:

That exterior angle is equal to the sum of the remote interiors, specifically:

2x + 3 = 45 + x + 8 and

x = 50

So the angles inside the triangle...we already know one of them is 45. If x = 50, then x + 8 is 50 + 8 = 58. That means that the third angle is 180 - 45 - 58 which is 77.

Answer:

That's a parabola

explanation:

Answer:

68

Step-by-step explanation:

just put the value of a and b in the expression and you will get the answer

20/a+7.b is

20/4+7×9

5+63

68

Answer:

C. 68

Step-by-step explanation:

Fill in your values.

20/ 4 + 7 x 9

Solve using PEMDAS.

5 + 7 x 9

5 + 63

68

Answer:

C

Step-by-step explanation:

(S=D/T)S=216KM, T=8HOURS : 216/8=27KM/HOUR

The average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

It takes a train 8 hours to travel a distance of 216 km.

As we know,

Average speed = distance/time

Average speed = 216/8 = 27 km/hour

Thus, the average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.

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Answer:

- 30

Step-by-step explanation:

3x + 2y - 5xy

3(2) - 2(3) - 5((2)(3))

6 - 6 - 30

6 - 6 - 30

- 30

Answer:

The second one from the top

Step-by-step explanation:

x^(5/3) y^1/3)

Answer:

you can rewrite expressions, for example

[tex] \sqrt[3]{x} = {x}^{ \frac{1}{3} } [/tex]

so yeah, option b is correct

Answer:

Step-by-step explanation:

i dont know this I am sorry :(

Answer:

Tree C

Step-by-step explanation:

each of the charts/tables/paragraphs are talking about a different tree.

Tree A started with 5 inches, as it says.

Tree B started with 3 inches, as you can see under the 0 months.

Tree C, at the month 0 mark, has a height of 10 inches, so it started with 10.

10>5 and 10>4, so Tree C is the biggest

Answer:

12/25 = 48/100 = .48 = 48%

Step-by-step explanation:

Answer:

105 cm

Step-by-step explanation:

3/7 = 45/x

cross-multiply:

3x = 315

x = 105

Answer:

$18,720.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Depreciation Formula: A = P(1 - rt)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 36001

r = 16% = 0.16

t = 3

Step 2: Find Cost

Answer:

7.5 = OM

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side / hypotenuse

sin 30 = OM / UN

sin 30 = OM / 15

15 sin 30 = OM

7.5 = OM

Answer:

18.84 feet.

Step-by-step explanation:

The formula for the circumference of a circle is:

2Pi*radius

The radius would be half the diameter so 3.

2*3.14*3

Answer:

$1020

Step-by-step explanation:

660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).