In an election between two candidates,a candidate secured 47% of the votes polled and the lost the election by 8700 votes . Find the total number of votes polled and the votes secured by winning candidate​

Answer:

144 square inches.

Step-by-step explanation:

4*12*3=144

Answer:

a) $4720

b) $5569.60

Step-by-step explanation:

Initial amount = $4000

Interest rate = 18% PA compounded

Amount after 1 year

Amount after 2 years

Answer:

[tex]\large \boxed{\mathrm{B}}[/tex]

Step-by-step explanation:

3 1/2 is also 0+3 1/2

Arrow from 0 goes to 3 1/2.

3 1/2 - 6 = -2 1/2

Arrow from 3 1/2 goes to -2 1/2.

Answer:

it is 3/3

Step-by-step explanation:

2 tan is 2/3 +cos is  1/4 +2/4

Answer:  7/12 + 2/3q

Step-by-step explanation:

[tex]\frac{11}{12} - \frac{1}{6}q + \frac{5}{6}q - \frac{1}{3}[/tex]     Combine like terms  subtract 1/3 from 11/12 and add -1/6q and 5/6q.

[tex]\frac{11}{12} - \frac{1}{3} = \frac{7}{12}[/tex]  

[tex]-\frac{1}{6}q + \frac{5}{6} q = \frac{4}{6}[/tex]q = 2/3 q

Answer:

c. 134,847

Step-by-step explanation:

82,000 x (1.051)^10 = 82,000 x 1.64447456 = 134,847

Answer:

seven-thousand two-hundred and fifty-six point eighty-five

Step-by-step explanation:

7 in the thousands place, two in the hundredths 5 in the tenths and 6 in the ones

The number 7,256.85 is read as Seven thousand two hundred fifty six point eight five.

Here,

The number is 7,256.85.

We have to find how to read this number.

What is place value?

Place value is the value represented by a digit in a number on the basis of its position in the number.

Now,

The number is 7,256.85.

In words it can be written as,

7,256.85 =  Seven thousand two hundred fifty six point eight five.

So, The number 7,256.85 is read as Seven thousand two hundred fifty six point eight five.

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Answer:

Hey there!

Point U has coordinates of (-5, 4)

Let me know if this helps :)

Answer:

(-5,4) is the coordinate of point U

Answer:

the probability that more than 70% of customers in the sample will need additional maintenance is 0.0371

Step-by-step explanation:

From the information given:

we are to determine the probability that more than 70% of customers in the sample will need additional maintenance

In order to achieve that, let X be the random variable that follows a binomial distribution.

Then X [tex]\sim[/tex] Bin(48, 0.6)

However 70% of 48 samples is

= 0.7 × 48 = 33.6 [tex]\simeq[/tex] 34

Therefore, the required probability is:

= P(X> 34)

[tex]= \sum \limits ^{48}_{x=34} (^{48}_{x}) (0.6)^x(1 - 0.6)^{48-x}[/tex]

[tex]= \dfrac{48!}{34!(48-34)!} (0.6)^{34} (0.4)^{48-34}[/tex]

[tex]= 4.823206232 \times 10^{11} (0.60)^{34}(0.4)^{14}[/tex]

= 0.03709524328

[tex]\simeq[/tex] 0.0371

Answer:

$2 dollers

Step-by-step explanation:

Answer:

[tex]\huge \boxed{2}[/tex]

Step-by-step explanation:

[tex]8^\frac{1}{3}[/tex]

Apply rule : [tex]a^\frac{1}{3}=\sqrt[3]{a}[/tex]

[tex]8^\frac{1}{3}=\sqrt[3]{8}[/tex]

8 is a perfect cube. Evaluate the cube root of 8.

[tex]\sqrt[3]{8}=2[/tex]

Answer:

Radical expression

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

Evaluation

[tex] {8}^{ \frac{1}{3} } = 2[/tex]

Step-by-step explanation:

8^(⅓) = ³√8

=³√(2×2×2)

=³√(2³)

= 2

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Answer:

9 times

Step-by-step explanation:

Given

[tex]Number = 3355[/tex]

Required

Determine how many times, the 3 on the left is greater than that on the right

[tex]Number = 3355[/tex]

First, we need to determine the value of the three on the left

To get its value, we have to change all other digits to 0. This gives

[tex]Left\ 3 = 3000[/tex]

Next, we need to determine the value of the three on the righy

Similarly, we have to change all other digits to 0. This gives

[tex]Right\ 3 = 0300[/tex]

[tex]Right\ 3 = 300[/tex]

Next, we calculate the positive difference between these two values and divide by the value of the Right 3

[tex]Result = \frac{Left\ 3 - Right\ 3}{Right\ 3}[/tex]

[tex]Result= \frac{3000 - 300}{300}[/tex]

[tex]Result= \frac{2700}{300}[/tex]

[tex]Result = 9[/tex]

Hence, the left 3 is 9 times greater than the right 3

Answer:

z > -5/2

Step-by-step explanation:

Since both sides are divided by a negative number, the equality is switched.

10 - 4z < 20

(10 - 4z) - 10 < 20 - 10

-4z < 10

(-4z)/-4 < 10/-4

z > -5/2

The solution for z will be;

⇒ z ∈ (- 2.5 , ∞ )

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 10 - 4z < 20

Now,

Since, The inequality is,

⇒ 10 - 4z < 20

Solve for z as;

⇒ 10 - 4z < 20

⇒ 10 - 4z + 4z < 20 + 4z

⇒ 10 < 20 + 4z

⇒ 10 - 20 < 4z

⇒ - 10 < 4z

⇒ - 2.5 < z

⇒ z ∈ (- 2.5 , ∞ )

Thus, The interval notation is,

⇒ z ∈ (- 2.5 , ∞ )

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Answer:

Twelve tickets cost $30 --> True

Thirty tickets cost $12 --> False

Each additional costs $2.50 --> True

The table is a partial rep --> True

ordered pairs --> False

Step-by-step explanation:

Twelve tickets cost $30 --> True, you can literally see that in the table

Thirty tickets cost $12 --> False, 30 is not in the table so you don't have that information. Besides, $12 is an unlikely low value for so many tickets.

Each additional costs $2.50 --> True, you can see the difference in the TotalCost column to be consistently 2.50.

The table is a partial rep --> True, values below 11 are not shown for example.

ordered pairs --> False --> Then the x value should be first, e.g., (11, 27.50), since the cost y is a function of the number x.

Answer: (31.75%, 36.25%)

Step-by-step explanation:

Let p be the proportion of workers in this city who have full health insurance coverage.

As per given,

Sample size : n= 170

Number of workers who had full health insurance coverage.=578

i.e. sample proportion: [tex]\hat{p}=\dfrac{578}{1700}\approx0.34[/tex]

Also, z-score for 95% confidence level : 1.96

Formula to find the confidence interval for p :

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

[tex]0.34\pm (1.96)\sqrt{\dfrac{0.34(1-0.34)}{1700}}[/tex]

[tex]=0.34\pm (1.96)\sqrt{0.000132}\\\\=0.34\pm (1.96)(0.011489125)\\\\\approx 0.34\pm0.0225\\\\=(0.34-0.0225,\ 0.34+0.0225)\\\\=(0.3175,\ 0.3625) =(31.75\%,\ 36.25\%)[/tex]

Hence, a 95% confidence interval for the true percent of workers in this city who have full health insurance coverage= (31.75%, 36.25%)

Answer:

x(6 + 8x²) or 6x + 8x³.

Step-by-step explanation:

"The square of x" can be represented by x² and 8 times that would be 8 * x² or 8x². The sum of 6 and 8x² can be represented by 6 + x² and the product of x and 6 + x² can be represented by x * (6 + 8x²) or x(6 + 8x²) which simplifies to 6x + 8x³.

Answer:

14x * x^2

Step-by-step explanation:

So you just have to read very carefully on these questions.

the product of x and the sum of 6 and 8

x times 6+8= x times 14= 14x

Product= multiply

Sum= add

that answer times the square of x

x^2

=14x times x^2

Answer:

[tex]Length = \frac{64}{3}m[/tex]

[tex]Width= \frac{32}{3}m[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 64m[/tex]

[tex]Length = 2 * Width[/tex]

Required

Determine the length and the width

Since the alley is rectangular, the perimeter is as follows;

[tex]Perimeter = 2 (Length * Width)[/tex]

Substitute 64m for Perimeter

[tex]64m = 2(Length + Width)[/tex]

Substitute 2 * Width for Length

[tex]64m = 2(Width+ 2 * Width)[/tex]

[tex]64m = 2(Width+ 2 Width)[/tex]

[tex]64m = 2(3 Width)[/tex]

[tex]64m = 6Width[/tex]

Divide both sides by 6

[tex]Width= \frac{64m}{6}[/tex]

[tex]Width= \frac{32}{3}m[/tex]

Recall that

[tex]Length = 2 * Width[/tex]

[tex]Length = 2 * \frac{32}{3}m[/tex]

[tex]Length = \frac{64}{3}m[/tex]

Answer:

The third option: (f°g)(x)=1.07(0.65x)=06955x

Step-by-step explanation:

The reason I chose this is because 0.65x is the discount price.  That's because 35% off is the same as 1.00-0.35 which equals 0.65.  After that you would multiply that discount price by 1.07 because you want the 7% sales tax added on to the discount price.  Therefore, I would choose the third option as my answer.

Answer:

I believe the answer is 4,000 times larger.

Step-by-step explanation:

8*10⁷ = 80000000

2*10⁴ = 20000

20000*4000 = 80000000

Answer:

15

Step-by-step explanation:

Because I said so

The distance from point F to point H is 15 units. Option C is correct.

In order to get the distance from point F to point H, we will use the distance formula as shown:

[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given the coordinate points F(0,0) and H(9, 12)

[tex]FH=\sqrt{(12-0)^2+(9-0)^2}\\FH =\sqrt{12^2+9^2}\\FH=\sqrt{144+81}\\FH=\sqrt{225}\\FH = 15units[/tex]

Hence the distance from point F to point H is 15 units. Option C is correct.

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Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]\displaystyle f'(0)=\lim_{x\rightarrow0} {\dfrac{f(x)-f(0)}{x-0}}\\\\=\lim_{x\rightarrow0} {\dfrac{\dfrac{\sqrt{1+x}-1}{x}-k}{x}}\\\\=\lim_{x\rightarrow0} {\dfrac{\dfrac{\sqrt{1+x}-1-kx}{x}}{x}}\\\\=\lim_{x\rightarrow0} {\dfrac{\sqrt{1+x}-1-kx}{x^2}}\\[/tex]

Thank you

Answer:

In 4 hours.

Step-by-step explanation:

Just equate f(x) = g(x). So:

15x + 90 = 30x + 30

60 = 15x

x = 4 hours.

In 4 hours the amount of candy produced be the same for both machines.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that A candy factory wants to compare a new machine to their current machine. Both machines produce y boxes of candy for every hour x. The current machine is represented by the equation f(x). The new machine is represented by the equation g(x). f(x) = 15x + 90 g(x) = 30x + 30.

The value of time will be calculated below:-

Just equate f(x) = g(x).

15x + 90 = 30x + 30

60 = 15x

x = 4 hours.

Therefore, In 4 hours the amount of candy produced is the same for both machines.

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Answer:

13

Step-by-step explanation:

if y = 4, then 4 + 9 = 13

Answer:

[tex]\huge\boxed{13}[/tex]

Step-by-step explanation:

The given condition is:

=> y + 9

Given that y = 4

=> 4 + 9

=> 13

Answer:

Step-by-step explanation:

[tex]2x + \frac{1}{2} x + 2(1 + x) = 29[/tex]

Multiply through by 2

That's

[tex]4x + x + 4(1 + x) = 58[/tex]

Expand

That's

5x + 4 + 4x = 58

9x = 58 - 4

9x = 54

Divide both sides by 9

That's

[tex] \frac{9x}{9} = \frac{54}{9} [/tex]

We have the final answer as

Hope this helps you

Answer:

[tex]Range=\left \{y|y\geq 5\right \}[/tex]

Step-by-step explanation:

Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as:

[tex]Range=\left \{y|y\geq 5\right \}[/tex]

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

We are given;

n = 27 bags

Sample mean;X = 402 gram

Population mean;μ = 404 gram

Variance = 676

We know that, standard deviation(σ) = √variance

Thus;

σ = √676

σ = 26

The hypotheses are;

Null hypothesis; H0: μ = 404

Alternative hypothesis; HA: μ < 404

Let's find the z-score from the formula;

z = (X - μ)/(√σ/n)

z = (402 - 404)/√(26/27)

z = -2.04

From the z-distribution table attached, we have a p-value of 0.02068

This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

500.99

add it alll up and leave the 87.90 for last

Answer:

Step-by-step explanation:

decreased by $427.09

Answer:

The rectangle has a width of 4 and a height of 8

Step-by-step explanation:

Let the height of the rectangle be H and the width be W.

We know the height of the rectangle is twice the width, so:

H = 2W

The area of a rectangle, A, is given by A = W * H, so in this case:

32 = W * 2W

32 = 2W²

W² = 16

W = 4

Knowing that the width is 4, the height must be 8. This gives us an area of 32.

Answer:

Step-by-step explanation:

First we must understand that absolute value of a function returns both positive and negative function.

1) Given |x-6| = 5

For the positive value of the function:

x-6 = 5

Add 6 to both sides

x-6+6 = 5+6

x = 11

For the negative function:

-(x-6) = 5

Open the parentheses

-x+6 = 5

Subtract 6 from both sides

-x+6-6 = 5-6

-x = -1

x = 1

Hence x = 1, x = 11

2 ) Given |3x-7| = 12

For the positive value of the function:

3x-7 = 12

Add 7 to both sides

3x-7+7 = 12+7

3x = 19

x = 19/3

For the negative function:

-(3x-7) = 12

Open the parentheses

-3x+7 = 12

Subtract 7 from both sides

-3x+7-7 = 12-7

-3x = 5

x = -5/3

Hence x = 19/3, x = -5/3

3) Given |2x+9| - 10= 5

For the positive value of the function:

2x+9-10= 5

2x-1 = 5

Add 1 to both sides

2x-1+1 = 5+1

2x = 6

x= 3

For the negative function:

-(2x+9)-10 = 5

Open the parentheses

-2x-9-10 = 5

-2x-19 = 5

Add 19 to both sides

-2x-19+19 = 5+19

-2x= 24

x = -24/2

x= -12

Hence x = 3, x = -12

4) ) Given |5x-3|+12 = 4

For the positive value of the function:

5x-3+12= 4

5x+9 = 4

Subtract 9 from both sides

5x+9-9 = 4-9

5x = -5

x= -1

For the negative function:

-(5x-3)+12= 4

Open the parentheses

-5x+3+12 =4

-5x+15 = 4

Subtract 15 from both sides

-5x+15-15 = 4-15

-5x = -11

x = 11/5

Hence x = -1, x = 11/5

Answer:

[tex]\huge \boxed{\mathrm{10.3 \ units}}[/tex]

Step-by-step explanation:

To solve for CD, we can create a right triangle.

Where CD becomes the hypotenuse.

The length of the base of the triangle is 9 units.

The length of the height of the triangle is 5 units.

Apply Pythagorean theorem to solve for the hypotenuse.

[tex]\sf hypotenuse = \sqrt{(base )^2 +(height )^2 }[/tex]

[tex]c=\sqrt{9^2 +5^2 }[/tex]

[tex]c=\sqrt{106}[/tex]

[tex]c \approx 10.29[/tex]