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The table shows different flood types and their frequencies.

Total frequency of all flood types = 18 + 6 + 4 + 2 = 30

frequency of river flood = 6

Recall, probability is expressed as

number of favorable outcomes/number of total outcomes

Thus, the estimated probability that a flood in 2021 in that state will be a river flood is

6/30 = 0.2

By changing 0.2 to percentage, we have

0.2 x 100 = 20%

The correct option is C. 20%

Answer:

0.49

Explanation:

Given the expression:

tan 26°

Evaluating using calculator

tan 26° = 0.4877

Hence the decimal rounded to the nearest hundredth is 0.49

Answer:

0.49 to nearest hundredth

Step-by-step explanation:

tan 26⁰ = 0.48773

Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour then Karen working alone will paint a house in 3 hours.

Since Betty takes 6 hours to paint a house alone, that indicates she can paint 1/6 of the house in 1 hour.

Karen can even paint 1/x in 1 hour

Both of them will paint the house in 3/2 hours.

We then add them together which gives:

1/6 + 1/x = 3/2x

The lowest common multiple is 6x

1x/6x + 6/6x = 9/6x

We then leave out the denominators

1x + 6 = 9

simplifying the above equation, we get

x = 9 - 6

x = 3

Therefore, the value of x = 3.

Karen working alone will paint a house in 3 hours.

The complete question is:

Betty and Karen have been hired to paint the houses in a new development. Working together, the women can paint a house in two-thirds the time that it takes Karen working alone. Betty takes 14 h to paint a house alone. Betty takes 6 h to paint a house alone.

Required:

How long does it take Karen to paint a house working alone?

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Step 1

The measures of variance include;

Step 2

For a bar chart, we have that;

180°

The value of question are 65+[tex]\underline{115}[/tex]=180, [tex]11x+\underline{48}=180^o[/tex], [tex]11x=\underline{132}[/tex] and [tex]x=\underline{12}[/tex].

In the given question we have to find the value of missing term.

(1) 65+......=180

(2) 11x+.......=180

(3) 11x=.........

(4) x=........

To solve this question we have to use some theorem.

Firstly solving the first question.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So from the diagram

[tex]65+z=180^o[/tex]

Subtract 65 on both side

[tex]65+z-65=180^o-65[/tex]

[tex]z=115[/tex]

Hence, 65+[tex]\underline{115}[/tex]=180.

Now finding the value of second question.

Using Alternate Exterior Angles Theorem

According to theorem the angle beside 11x - 17 is 65.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So  11x-17+65=180[tex]^o.[/tex]

Simplifying

So [tex]11x+\underline{48}=180^o[/tex]

Now finding the value of third question.

From the second question answer we get [tex]11x+{48}=180^o[/tex]

Now solving this equation to find the value of 11x

Subtract 48 on both side

[tex]11x+{48}-48=180^o-48[/tex]

[tex]11x=132[/tex]

Hence, [tex]11x=\underline{132}[/tex]

Now solving the fourth question.

To find the value of fourth question we further simplify the answer of third question.

[tex]11x=132[/tex]

Divide by 11 on both side

[tex]\frac{11}{11}x=\frac{132}{11}[/tex]

[tex]x=12[/tex]

Hence, [tex]x=\underline{12}[/tex]

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Answer:

3.16

Step-by-step explanation:

Answer:

[tex]4\sqrt{x+2} - 6[/tex]

Step-by-step explanation:

f(g(7)) = f(sqrt(x+2))

=4(sqrtx+2) - 6)

= [tex]4\sqrt{x+2} - 6[/tex]

Answer:

[tex](f \circ g)(7)=6[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=4x-6\\g(x)=\sqrt{x+2}\end{cases}[/tex]

(f o g)(x) is a composite function.  

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (f o g)(7) means to substitute the function g(x) when x=7 in place of the x in function f(x).

[tex]\begin{aligned}\implies (f \circ g)(7)&=f[g(7)]\\& = f(\sqrt{7+2})\\&=f(\sqrt{9})\\&=f(3)\\&=4(3)-6\\&=12-6\\&=6\end{aligned}[/tex]

Given:

To factorize:

It can be written as,

Therefore, the factorized form is,

Using completing the square method (x + 8)2 = +1 is the intermediary step in the equation (x + a)2 = b after the square is complete.

Get the intermediate step:

Divide the equation by 3 into both sides:

Adding 1 on both sides to complete the square:

Therefore, (x + 8)2 = +1 is the intermediary step in the equation (x + a)2 = b after the square is complete.

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Since the expression 5p represents the total price of buying 5 movie tickets, divide the expression 5p by 5 to find the price of a single ticket:

Then, the price of a ticket is p.

Therefore, the variable p represents the ticket price, while the number 5 represents the number of tickets.

Linear pair angles are the ones that form a straight line, in other words they will form a 180º angle. Therefore if the angle 2 measures 44 degrees we can find the angle 1 by doing as follows:

The angle one is equal to 128 degrees.

Answer:

x = 1

Step-by-step explanation:

Horizontal asymptotes are the y-values for which a particular function is undefined;

Finding the horizontal asymptote for linear reciprocal function is quite simple;

For this kind of function, where there is no x term in the numerator, the horizontal asymptote is just equivalent to the constant added to the fraction (note: having no added constant is the same as having an added 0);

so:

f(x) = 1/(x - 1) = (1/( - 1 )) + 0

The horizontal asymptote is y = 0 for this function.

If it was F(x) = (1/(x - 1)) + 1, the horizontal asymptote would be  y = 1

hope it help!! :)

Answer:

The answer is C

Step-by-step explanation:

If you substitute every x value for 5, you know that every equation can have 5 as an answer but C.

A. 3x+2=4x-3

Isolate the x(s) and combine like terms

3x+2-2=4x-3-2

3x=4x-5

3x-4x=4x-4x-5

-x=-5

-x(-1)=-5(-1)

x=5

Therefore A is a solution

B. (x+2)(x-5)=0

Substitution--Substitute every x for a 5

(7)(0)=0

anything multiplied by 0 will be 0

B. Is a solution because it is true.

C. 4x+2=15

Isolating the x(s) and combine like terms

4x+2-2=15-2

4x=13

4x÷4=13÷4

x=3.25

C is not a solution because x should equal to 5 but in this equation x can only be equal to 3.25. C is wrong.

We know our answer so we don't have to keep solving the rest of the equations.

But I'll just do D

D. 3x-10=x

Isolate the x(s) and combine like terms

3x-x-10=x-x

2x-10=0

2x=10

2x÷2=10÷2

x=5

D is a solution.

Answer:

- 48.00

Step-by-step explanation:

Add all the debt up.

Answer: -48

Step-by-Step Explanation:

Money that Chad owes his Sister = $15

Money that Chad owes his Brother = $9

Money that Chad owes his Friend = $24

Total Money he owes = 15 + 9 + 24 = $48

Hence, Total Money he has = -48 (since he doesn't have any money)

Required:

We need to find the statement which is NOT a misuse of statistics.

Explanation:

Recall that misuse of statistics occurs when a statistical argument asserts a falsehood.

Utilizing valid statistical methods and correct sampling techniques is not a misuse of statistics.

Final answer:

A. Utilizing valid statistical methods and correct sampling techniques

The slope intercept form of equation of the line is  y = 4x - 2

The slope intercept form of equation of the line that includes the point (3,10) has a slope of 4. is  y = 4x - 2

This is an equation of the form y = mx + c, where:

the coefficient of x is the slope

c is the intercept

To calculate the equation of the line that include point  (3,10) has a slope of 4 we solve as follows

( y - y' ) / ( x - x' ) = 4

( y - y' )  = ( x - x' ) = 4

where y' = 10, and x' = 3

y - 10 = (x - 3 ) * 4

y - 10 = 4x - 12

y = 4x - 12 + 10

y = 4x - 2

The slope intercept form of equation of the line is  y = 4x - 2

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When a person is 3 feet from a street light, the length of the shadow grows at a rate of 4 feet per second.

See the figure that illustrates the in question statement, attached.

making use of the related triangle theorem;

4/y = 12/x+y

Cross multiply

4(x+y)=12y

4x+4y = 12y

4x=8y

x/y =2

x=2y

Divide the two sides of the equation by t, where dx/dt = 2 dy/dt. The speed at which the person is walking away from the street light is expressed as dx/dt 

The growth rate of the shadow's length is measured by the ratio dy/dt.

Given that dx/dt = 8ft/s

by solving,

dy/dt = 4 ft/s

Hence the rate at which the length of the shadow growing when the person is 3 feet from the street light is 4ft/s

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Answer: Radius (r) 5.99848 in

Diameter 11.99696 in

Circumference (c) 37.68955 in

Area 113.04in²

Radius (r) 5.99848 in

Diameter 11.99696 in

Circumference (c) 37.68955 in

Area 113.04 in²

Radius (r) 0.999493 in

Diameter 1.998986 in

Circumference (c) 6.28 in

Area 3.13841 in²

Radius (r) 8.49569 in

Diameter 16.99138 in

Circumference (c) 53.38 in

Area 226.75 in²

Radius (r) 2.5 cm

Diameter 5 cm

Circumference (c) 15.70796 cm

Area 19.63495 cm²

Radius (r) 1.1 yd

Diameter 2.2 yd

Circumference (c) 6.9115 yd

Area 3.80133 yd²

Radius (r) 2 in

Diameter 4 in

Circumference (c) 12.56637 in

Area 12.56637 in²

Step-by-step explanation: I hope this helps.

When the pile is 22 feet high, the height of the pile changes to 20/1089π.

Given (dV)/(dt) = 20, h = 22 feet , dh /dt =?

The volume of cone is V = 1/3 * pi * r ^ 2 * h

d=3h

2r = 3h

r = (3h)/2

V = 1/3 * pi * r ^ 2 * h

= 1/3 * pi * ((3h)/2) ^ 2 * h

= 1/3 * pi((9 * H ^ 2 )/4) * h

= (9pi)/12 * h ^ 3

Differentiate w.r.to t

(dV)/(dt) = (3pi)/4 * (3h * h^ 2) * (dh)/(dt)

(dV)/(dt) = (9pi)/4 * (h ^ 2) * (dh)/(dt)

(dV)/(dt)=20, h=22 feet

20 = (9pi)/4 * (22 ^ 2) * (dh)/(dt)

(dh)/(dt) = 80/ (9pi * (22^ 2))

h^ t = 20/ 1089 *pi   ft / min

Therefore, The height of the pile changing when the pile is 22 feet high is 20/1089π

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[tex] \frac{4}{7} v = - \frac{26}{3} \\ - 26(7) = 4v(3) \\ - 182 = 12v \\ \frac{ - 182}{12} = \frac{12v}{12} \\ v = - 15 \frac{2}{12} \\ v = - 15 \frac{1}{6} [/tex]

BE AWARE I USED CROSS MULTIPLICATION.

Answer:

A function is a relation where each input value is assigned to only one output value. The domain of a function is the set of all input values, or x-values, for which the function is defined. The range of a function is the set of all output values, or y-values, for which the function is defined. To write the equation y = ax + b in function notation, substitute f(x) for y.

Step-by-step explanation:

Brainlest, Please!

Solution

Given, ABCD is a rectangle AC is diagonal

Then AD=BC and AB=CD

And ∠ABC=∠BCA=∠CDA=∠DAB=90

0

In ΔABC and ΔADC

∠ABC=∠ADC (Angle of rectangle)

AB=DC (Opposite side of rectangle )

AC=AC (Common side)

∴ΔABC≅ΔADC

∴∠ACD=∠ACB

∵∠ACD+∠ACB=90

0

..........[Angle ACB is the angle of rectangle]

∴2∠ACD=90

0

⇒∠ACD=45

0

The ratio term of given geometric progression is 3 and the 9th term of the GP is 6561.

What is Geometric Progression?

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. For instance, the geometric progression 2, 6, 18, 54,_ _ _ _ has a common ratio of 3.

Given in question,

first term of the GP is 1,

4th term of the GP is 27,

[tex]4^{th} term = ar^3[/tex]

[tex]ar^3 = 27[/tex]

Therefore, the ratio term of geometric progression, r = 3

We know that, [tex]a_n = ar^{n-1}[/tex]

[tex]a_9 = ar^8[/tex]

[tex]a_9 = 3^8[/tex]

a9 = 6561

Therefore, the 9th term of given geometric progression is 6561.

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The sequence is given by the following formula:

Finally, the answers are 41 and 49.

Answer:

10:12

Step-by-step explanation:

15-5=10

24-12=12

og ratio is 15:24

new ratio is 10:12

Answer:

5/42 or 0.1190

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Answer:

The area is 196π, or 615.752160 when evaluated to 6 decimal places.

Step-by-step explanation:

There is an equation for the area of a circle:

A=π[tex]r^{2}[/tex], Where A is the area and r is the radius. π is π, it is its own number. Plugging in the radius stated we can evaluate:

A=π([tex]14^{2}[/tex])

A=196π

If we write out π and evaluate with an (un)reasonable amount of decimal places:

π≅3.1415926536

A=196×(3.1415926536)

A≅615.752160

Answer:

A = [tex]\pi ^{2}[/tex]

Step-by-step explanation:

A≈615.75

Answer:

x = 30°

Step-by-step explanation:

The angles of a pentagon add up to 540°

Make an equation adding up the angles to equal 540°

x + 4x + 4x + 135° + 135° = 540°

Simplify

9x = 270°

Divide

x = 30°