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Question: A circle has an area of 16mm². Find it's circumference.

Using the normal distribution, the value of z is of z = 1.5.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, considering the symmetry of the normal distribution, the area above the mean is given by:

0.8664/2 = 0.4332.

Hence z has a p-value of 0.5  + 0.4332 = 0.9332, hence the value of z is z = 1.5.

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By using the PEMDAS order of operations, we get 3(6+7) = 39.

The equation be 3(6+7) then the correct answer is 34.

The order of operations exists as a law that describes the proper sequence of stages for estimating a math expression. We can recognize the order utilizing PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).

Given: 3(6+7)

By using the PEMDAS order of operations, we get

(6+7) = 13

Then we get

3(6+7) = 3 [tex]*[/tex] 13

= 39.

Therefore, the value of 3(6+7) = 39.

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Answer:

C. Subtract 4 from both sides.

Step-by-step explanation:

You need the equation in the form x² + ax + b = 0 to then either try factoring or use the quadratic formula.

In order to achieve that, you need to first:

Subtract 4 from both sides.

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

From the question, we have the following ordered pairs

x intercepts = (6,0) and (18, 0)

Vertex = (12, -36)

Points (21, 41.25)

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using

m = [f(21) - f(18)]/[21 - 18]

This becomes

m = [f(21) - f(18)]/3

Substitute the known values in the above equation

m = [41.25 - 0]/3

Evaluate the difference

m = 41.25/3

Evaluate the quotient

m = 13.75

Approximate

m=14

Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

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Complete question

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?

See attachment for graph

Answer:F to the power of 2,N to the power of 2,—25,f to the power of 2

Step-by-step explanation: i really hope under stand

Answer:

38°

Step-by-step explanation:

EFGH is an isosceles trapezoid (a trapezoid with two congruent legs is isosceles)

∠HGF=70° (base angles of an isosceles trapezoid are congruent)

∠EGH=32° (angles in a triangle add to 180°)

∠FGE=38° (angle subtraction postulate)

Answer:

385

Step-by-step explanation:

The number of students who applied at most two universities is 26 students.

The population of students in a class = 60 students

Number of students who applied for Addis Ababa University = 30 students

Number of students who applied for Bahir Dar University = 25 students

Number of students who applied for Wachemo University = 24 students

Number of students who applied for Addis and Bahir = 11 students

Number of students who applied for Addis and Wachemo = 6 students

Number of students who applied for Wachemo and Bahir = 9 students

The number of students who applied at most two universities is 26 (11+ 6 + 9).

Thus, the number of students who applied at most two universities is 26.

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Answer:

2160°

Step-by-step explanation:

[tex]180(14-2)=2160^{\circ}[/tex]

Answer:

(A)81/399

Step-by-step explanation:

The probability that the Principal selects a voyager on the first try is

82/400

Since another student is to be selected, the total population has reduced by 1 and the number of voyagers has been reduced by 1.

Probability that another voyager is selected on the second try is

81/399

The correct answer is A.

The two-column proof that shows that ΔEAB ≅ ΔDCB by SAS congruence theorem is explained below.

The Side-angle-side congruence theorem (SAS) that states that two triangles that are have two pairs of corresponding congruent sides and a pair of included corresponding congruent angles are congruent to each other.

Any triangle with two equal base angles is referred to as an isosceles triangle, The sides opposite these base angles are also congruent to each other.

Given the diagram below, the proof is expressed as follows:

Statement 1: ΔEAB and ΔDCB are two right triangles

Reason 1: Given

Statement 2: ∠EAB  ≅ DCB

Reason 2: Right angles

Statement 3: ∠BED ≅ BDE

Reason 3: Given

Statement 4: ΔBED is an isosceles triangle

Reason 4: Definition of isosceles triangle

Statement 5: BE ≅ BD

Reason 5:  Definition of isosceles triangle

Statement 6: ΔEAB ≅ ΔDCB

Reason 6: SAS

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[tex]\frac{7}{4}[/tex] [tex]x\:-\:2\:=\:-5x\:+\:1[/tex]

[tex]\frac{7}{4}[/tex] [tex]x\:-\:2\:=\:-5x\:+\:1[/tex]

[tex]7x\: - \:8 \:=\: -20x\: + \:4 [/tex]

[tex]7x \:- \:8 \:+ \:20x \:= \:4[/tex]

[tex]7x\: + \:20x \:= \:4 \:+ \:8 [/tex]

[tex]27x\: = \:4\: + \:8[/tex]

[tex]x\:= [/tex] [tex]\frac{4}{9}[/tex]

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Answer:

x = 4/9

Step-by-step explanation:

Solve for x

7/4 x -2  = -5x +1

Add 5x to each side

7/4 x -2+5x  = -5x +1+5x

7/4 x  + 5x -2  = 1

Get a common denominator for the x terms

7/4x  +20/4x -2 = 1

Add 2 to each side

27/4 x -2+2 = 1+2

27/4 x = 3

Multiply each side by 4

27/4 x *4 = 3*4

27x = 12

Divide each side by 27

27x/27 = 12/27

x = 12/27

Simplify

x = 4/9

Answer:

-1

Step-by-step explanation:

Rise=2

Run=-2

2/-2=

-1

The conclusion regarding the publisher's claim regarding the hypothesis is that have sufficient evidence to support the claim that the proportion is less than 30% of their readers own a Rolls Royce.

The null hypothesis is a statistical theory that suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

Since we reject the null hypothesis , we have sufficient evidence to support the claim. In this case, we have sufficient evidence to support the claim that the proportion is less than 30% of their readers own a Rolls Royce.

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Complete question:

A newsletter publisher believes that less than 30% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?

Answer: 2.25 meters

Step-by-step explanation: 1 in = 2 meters. 0.75 is 75 percent of 1 so the length of the window is 75 percent of 2 which is 1.5. 1.5 squared is 2.25 so the length of the window is 2.25 meters

subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4

Given the expressions as

(c ^ 2 - 4c + 7)

(7c ^ 2 - 5c + 3)

We are to substract expression 2 from expression 1

In doing this, we need to know the BODMAS rule ( bracket, of, division, multiplication, addition and subtraction). This would help in finding the solution

(7c ^ 2 - 5c + 3) -  (c ^ 2 - 4c + 7)

Expand the bracket

7c² - 5c + 3 - c² - 4c + 7

collect like terms

7c²- c² - 5c - 4c + 3 - 7

Add or substract the like terms

6c² - 9c -4

Thus, subtracting (c ^ 2 - 4c + 7) from (7c ^ 2 - 5c + 3) would give 6c² - 9c -4

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Answer:6c^2-c-4

Step-by-step explanation:

(7c^2-5+3)-(c^2-4c+7)

7c^2-5c+3-c^2+4c-7

Rearrange the terms

7c^2-c^2-5c+4c+3-7

Combine like terms

6c^2-c-4

Answer:

Trapezoid

Step-by-step explanation:

One pair of parallel sides.

Answer:

A

Step-by-step explanation:

p = Pierre shells

Nardia shells = 3p

3p + p = 52

Answer:

a

Step-by-step explanation:

The three dimensional shape formed by the net shown below is a cube.

A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are cone, cylinder, prism and pyramid.

A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are circle, rectangle, square.

The cube is a a three-dimensional solid object bounded by six square faces.

The three dimensional shape formed by the net shown below is a cube.

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Answer:

x = 3

Step-by-step explanation:

3x + 3   =  6 + 6

3x + 3   =  12

3x         =  12 - 3

3x         =  9

   x        =  3

3 (3) + 3   =  6 + 6

   9  + 3   =  12

       12     =  12

Using the monthly payment formula, it is found that:

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

Considering that she must pay 20% down, the parameters are given by:

P = 0.8 x 2900 = 2320, r/12 = 0.085/12 = 0.007083, n = 24.

Hence the monthly payments are found as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 2320\frac{0.007083(1.007083)^{24}}{(1.007083)^{24} - 1}[/tex]

A = $105.46.

The total finance charge is composed by the down payment plus the 24 monthly payments, hence:

F = 0.2 x 2900 + 24 x 105.46 = $3,111.04.

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Answer:i got 329

Step-by-step explanation:

Answer:

5/16

Step-by-step explanation:

assuming you mean 5(1/2) = 8x

5(1/2) is the same as 5/2

so, 5/2 = 8x

5 = 16x

x= 5/16

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

When we expand a function, everything must be multiplied out evenly.

      [tex](x+6)*(x+6)\\=x*x +x*6+6*x+6*6\\=x^2 + 6x + 6x+36\\x^2 +12x+36[/tex]

Answer: x² + 12x + 36

Hope that helps!

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Polynomials are mathematical expressions made up of many terms.

To simplify the polynomial to the maximum, all like terms must be grouped together and rearranged from highest to lowest power.

Distribute

Combining like terms.

The number with the given characteristics is 17

Let the tens be x and the units be y.

So, the number is 10x + y

The relationship between the digits is

y = x + 6

The relationship between the number and the reverse is

2(10x + y + 10y + x) = 6 + 10 * (10x + y)

Simplify the second equation

2(11x + 11y) = 6 + 100x + 10y

Open the brackets

22x + 22y = 6 + 100x + 10y

Substitute y = x + 6

22x + 22(x + 6) = 6 + 100x + 10(x + 6)

Expand

22x + 22x + 132 = 6 + 100x + 10x + 60

Collect like terms

22x + 22x - 100x - 10x = 6 + 60 - 132

Evaluate the like terms

-66x = -66

Divide by -66

x = 1

Substitute x = 1 in y = x + 6

y = 1 + 6

y = 7

Recall that the number is 10x + y

So, we have

Number = 10 * 1 + 7

Evaluate

Number = 17

Hence, the number is 17

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Using a calculator, the critical value for the t-distribution with a confidence level c=0.80 and sample size n=29 is of Tc = 1.3125.

It is found using a calculator, with two inputs, which are given by:

In this problem, the inputs are given as follows:

Hence, using a calculator, the critical value for the t-distribution with a confidence level c=0.80 and sample size n=29 is of Tc = 1.3125.

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The number of bars which can be cut for the 1" X 1" and 2" X 2" square bars are; 117 and 29 units respectively.

The total area of the given pan can be evaluated as follows;

Area = length × width

= 9 × 13

= 117 square units.

Hence, the number of 1" X 1" bars can be cut which can be cut from the pan;

= 117/(1×1)

= 117 1" X 1" bars.

For the 2" X 2" square bars, we have;

= 117/(2×2);

29 remainder 1 square unit.

Ultimately, one square unit of the pan is wasted for the 2" X 2" square bars.

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Answer:

4, 6, 4

6, 12, 8

8, 12, 6

Step-by-step explanation:

Tetrahedron:

4 faces, 6 edges, 4 vertices

Cube:

6 faces, 12 edges, 8 vertices

Octahedron:

8 faces, 12 edges, 6 vertices

you can also use the v - e + f = 2 to check

Answer:

piex

Step-by-step explanation:

the circumference of a circle is pie times the diameter of the circle.