The city of Raleigh has 9200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 109 said they'd vote for Brown, 235 said they'd vote for Feliz, and 6 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.

Answer:

\(x=30\\y=68\\z=82\)

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

\(y+z=5x\)

The third angle is 14 more than the second

\(z=y+14\)

And remember that the sum of these three angles must be equal to 180.

\(x+y+z=180\)

Let's take these equations

\(y+z=5x\\z=y+14\\x+y+z=180\)

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

\(x+y+z=180\\x+(y+z)=180\\x+(5x)=180\)

Distribute the + sign

\(x+5x=180\)

Combine like terms;

\(6x=180\)

Divide by 6.

\(x=\frac{180}{6}\\ x=30\)

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example \(z=y+14\)

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

\(x+y+z=180\\30+y+(y+14)=180\)

Distribute the + sign and Combine like terms;

\(30+y+y+14=180\\44+2y=180\\\)

Subtract 44 to isolate 2y.

\(2y=180-44\\2y=136\)

Now divide by 2.

\(y=\frac{136}{2}\\ y=68\)

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

\(x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82\)

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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Answer:

$36.40

Step-by-step explanation:

Purchase Price:

$52

Discount:

(52 x 30)/100 = $15.60

Final Price:

52 - 15.60 = $36.40

$36.40 is the answer. Hope this helps!

Answer:

$36.40

Step-by-step explanation:

Sorry if i'm wrong hope this helps

The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

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Answer:

Below.

Step-by-step explanation:

a. 360 - 168

= 192 ft above sea level.

b. -168 - (-132) = -36.

36 feet lower.

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

Answer: y=3/4x + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope (m) = \(\frac{3}{4}\)

y-intercept (c) = 8

Writing in slope intercept form , y = mx +c

y = \(\frac{3x}{4}\) + 8

Hope it helps:)

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

3.9 meter = 100*3.9 cm = 390 cm

Step-by-step explanation:

we know that

1 meter = 100 cm

given that we have to show 3.9 meters in cm

1 meter = 100 cm

we multiply both sides by 3.9

1 * 3.9 meter = 100*3.9 cm = 390 cm

3.9 meters = 390 cm  Answer

equation for transformation from meter to centimeter is

3.9*100 = 390

Answer: x>12 so anything greater than 12 is correct

Step-by-step explanation:

The solution to the given inequality is all values that are greater than 12.

Important information:

We have,

\(25x>300\)

Divide both sides by 25.

\(\dfrac{25x}{25}>\dfrac{300}{25}\)

\(x>12\)

Therefore, the solution to the given inequality is all values that are greater than 12.

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The graph is attached.

Step-by-step explanation:

This will be an exponential function, which means it will be a smooth curve.

The y-intercept will be 35, since this is the starting population.

Since the population is increasing, the curve will increase as well.

The correct answer is option D maximum occurs at the function's y-intercept.

A quadratic function's graph is a parabola, which, depending on the sign of the coefficient a, might expand upward or downward. A quadratic function's primary traits are:

The greatest or minimum point of the function is at the parabola's vertex.

The vertex serves as the point on the vertical axis of symmetry.

The function's value at x = 0 is known as the y-intercept.

The x-intercepts of the parabola, which appear where the function equals 0, are the roots or zeros of the function.

We must examine the layout of the quadratic function g's graph, which is depicted in the table, in order to ascertain its properties. The chart shows that the parabola's vertex, or maximum/minimum point, is at:

x = -2, where g(-2) = -16.

The y-intercept also happens to be at g(0) = 4.

Hence, the correct answer is option D maximum occurs at the function's y-intercept.

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Explanation:

The correlation coefficient: It is a statistical measure which represents the strength of the relationship between the relative movements of two variables.

It is denoted as r. It ranges between -1 to 1.

The correlation between two variables can be positive or negative.

Example:

The correlation of r=0.9 represents the strong positive connection between two variables.

The correlation of r= -0.2 denotes the weak negative connection.

The correlation represents

Answer:

It would be 4 times 3 =answer whatever the answer is mines that bye 8 and then 12 + the answer to that it would = something  

Answer:

185 shrubs

Step-by-step explanation:

ratio plant : 1% = 5 : 1%

if the percent of shrubs in the garden is 37%, according to my ratio. every 1% is 5 plants, therefore, 37% = 37 x 5 = 185

Answer:

Improper fraction: 83/20

Decimal: 4.15

Mixed Number: 4 3/20

Step-by-step explanation:

Answer:

3.99 10-6

Step-by-step explanation:

This is simply the answer because if you multiply them all out this equation is the smallest number

Answer:

3.99*10^-6

Step-by-step explanation:

Anything taken to a negative power is going to be smaller than the original number because x^-y=1/(x^y). So since 3.99*10^-6 is smaller than 4.4*10^-5, the former is the answer.

Answer:

$552.50

Step-by-step explanation:

To find how much she will make, find 6.5% of 8500

8500(0.065)

= 552.5

So, she will make $552.50

Answer:

$552.50

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

\(I=P*R\)

Where:

P is the principal amount, $8500.00.

R is the interest rate, 6.5% per year, or in decimal form, 6.5/100=0.065.

To find the simple interest, we multiply 8500 × 0.065 to get that:

The interest is: $552.50

Answer:

0.74

Step-by-step explanation:

P(not E) = 1 - P(E) = 1 - 0.26 = 0.74

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Therefore, Heather's account balance will be $4,042.18 after 9 years if the interest is compounded 4 times each year.

Compound interest is a method of calculating interest where the interest earned on an investment is added to the principal amount, and the interest on the new total is calculated for the next period. This process continues over time, resulting in the gradual growth of the investment.

Given by the question.

To calculate the account balance after 9 years with compounded interest, we can use the formula:

A = P \((1 + r/n) ^{nt}\)

Where:

A = the account balance after t years

P = the initial investment

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Plugging in the given values, we get:

A = 2975 \((1+0.035/4)^{4*9}\)

A = 2975  \((1 + 0.00875)^{36}\)

A = 2975  \((1.00875) ^{36}\)

A = 2975(1.358016)

A = 4042.18

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Consequently, there are 5 elements in A B'.

Given the following definitions:

U = {1, 2, 3, 4, 5, 6, 7}A = {1, 2, 4, 5}B = {1, 3, 5, 7}

The complement of a set B is the set of all elements that belong to the universal set U but not to B.

A’ = {x | x ∈ U and x ∉ A} = {3, 6, 7}B’ = {x | x ∈ U and x ∉ B} = {2, 4, 6}

The union of sets A and B is the set of all elements that belong to set A or set B, or both.

A ∪ B = {x | x ∈ A or x ∈ B}

= {1, 2, 3, 4, 5, 7}A ∪ B'

= {x | x ∈ A or x ∈ B’}

= {1, 2, 4, 5, 6}

Therefore, the number of elements in A ∪ B' is 5.

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The efficiency of the transmission and drive mechanism is 87.5%

Given,

The power of the automobile engine = 240 horsepower

The power that the automobile engine delivers to the driving wheels of the car = 210 horsepower

We have to find the efficiency of the transmission and drive mechanism:

Efficiency of the transmission and drive mechanism = (power that delivers / power of engine) × 100

= (210 / 240) × 100 = 2100 / 24 = 700/8 = 87.5%

That is the efficiency of the transmission and drive mechanism is 87.5%

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The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Explanation:

Answer:

9.55555555.......

Step-by-step explanation:

n is 27 because 27÷9=3. 3n is 81 because 27×3=81. 81+5=86 and 86÷9 is 9.55555555555.....

Answer:

5

Step-by-step explanation:

A number n is divided by 9 is 3

Find the remainder when 3n + 5 is divided by 9.

As we see the resultant number, when divided by 9 will leave a remainder of 5

So the answer is 5.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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