Find the value of x
2x + 46 = 7x + 6

If a sample of 234 customers were taken from a population of 3620 customers, s^2 could refer to the variance of how many of the customers' ages?

A. 234

B. 3620

C. Both 234 and 3620

D. Neither 234 nor

3620

Answer: 234

Step-by-step explanation:

Sample distribution = 234 customers

Population distribution = 3620 customers

S^2 which in statistics refers to the same variance utilizes the sample data in estimating the variance value of a population.

The sample variance is given by:

s^2 = (x - mean) / n - 1

where ;

n = number of observation in sample

s^2 = sample variance

mean = statistical mean of sample data

n - 1, is used to account for the bias in our estimation or inference of a population statistics from sample data.

The rectangle is 13 units long by 6 units wide.

Area = Length x width

Area = 13 x 6  = 78 square units.

Answer:

Fractions whose reduced form have denominators with factors other than 2, 5 will have repeating decimal expansions.

Step-by-step explanation:

The decimal expansion will terminate only if the fraction can be written an some numerator over a denominator that is a power of 10. hope this helps you :)

Answer:

4.9

Step-by-step explanation:

3.43/0.7

34.3/7=49

3.43/0.7=4.9

The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.

We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.

We represent "0.7 of x" as 0.7x.

So, the equation becomes:

0.7x = 3.43

To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:

(0.7x) / 0.7  = 3.43 / 0.7

The 0.7 on the numerator and denominator cancel out, leaving us with just x:

x = 3.43 / 0.7

Now, we perform the division:

x = 4.9

The value of x is approximately 4.9.

Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.

To learn more on Division click:

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Answer:

Median=3, Mean=2.333

Step-by-step explanation:

Answer:

$35.2

Step-by-step explanation:

Marked price of hat = $40

Sale discount = 20%

discount in $ = 20% of $40 = 20/100 * 40 = $8

Thus, sale price = marked price - sale discount = $40 - $8 = $32

Now it is given that there is sales tax of 10%

This sales tax will be applied on sale price

thus,

sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2

Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2

Thus, Bob ended up paying $35.2 for the hat.

Answer:

The coordinates of point M is -0.375.

Step-by-step explanation:

Given that point A = -6 and point B = 3

Point M divides line segment AB in the direction from A to B in the ratio of 5 to 3 we have;

Length from A to M = 5/(5 + 3) × Length of segment AB

Given that length of segment AB = 3 - (-6) = 3 + 6 = 9, we have;

Length from A to M = 5/8 × 9 = 45/8 = [tex]5\frac{5}{8}[/tex] = 5.625

Therefore, the coordinates of M = -6 + 5.625 = -0.375 = -3/8

The coordinates of point M = -0.375.

Answer:

15

Step-by-step explanation:

1 is neither prime nor composite

2 is the smallest prime

3 is the next smallest prime

5 is the next smallest

but 2,3,5 do not make a triangle

The third side must be smaller than the sum of the other two

2+3 <5 not equal to

7 is the next prime

3,5,7 are the three sides of the triangle

P = 3+5+7

P = 15

Answer:

She received £89.4

and she saved £67.05

Step-by-step explanation:

The complete question is as follows;

Madeeha’s father won £149.

He shared the £149 between his three children in the ratio 6:3:1. Madeeha was given the biggest share.

(a) Work out how much money Madeeha received.

(b) Madeeha saved 3/4 of her share.

Work out how much Madeeha saved.

Answer;

The total ratio is 6 + 3 + 1 = 10

Since madeeha was given the biggest share, that means she is given 6 out of 10 portions

So the amount she was given would be ;

6/10 * 149 = £89.4

Now we were told she saved 3/4

Amount saved would be 3/4 * 89.4 = £67.05

Answer:

-5

Step-by-step explanation:

We can find the slope between two points by using

m = (y2-y1)/(x2-x1)

    = ( -9-6)/(-6 - -9)

   =(-9-6)/( -6+9)

  -15/3

   -5

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 6) and (x₂, y₂ ) = (- 6, - 9)

m = [tex]\frac{-9-6}{-6+9}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5 → C

Answer:

Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

Answer:

B

Step-by-step explanation:

7/16 times 1/2 would be 7/32 because when you multiply fractions you multiply the top and the bottom like this

7 x 1

and 16 x 2

using this logic you can multiply both fractions to make

7/32

Answer:B) 7/ 32

alll you gotta do is multiply across and its already simplified

Answer:

£0.465. It is a better value.

Step-by-step explanation:

If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;

6batteries = £2.79

1 battery = x

x = cost of a battery

6x = £2.79

x = £2.79/6

x = £0.465

Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.

Answer:

(1,-1)

Step-by-step explanation:

If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.

Answer:

x is all real numbers, where x ≠ 2

Step-by-step explanation:

Domain is the input of x-values that can work in a function. Since we can't have 0 in the denominator (undef error), we have to exclude x = 2, as it will make the denominator 0. However, every other x-value works.

Answer:

Supongo que tenemos dos ángulos A y B

"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)

A/2 + B/3 = 15°

A/2 = 15° - (B/3)

A = 30° - 2*(B/3)

Ahora queremos calcular:

2*sin(3*A)/cos(2*B)

pero podemos reemplazar A por lo que tenemos arriba:

2*sin(3*(30° - 2*(B/3)))/cos(2*B)

2*sin(90° - 2*B)/cos(2*B)

y como sabemos,  

Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)

entonces:

2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.

Answer:

Option (C)

Step-by-step explanation:

Given sides of a triangle are 2, [tex]\sqrt{12}[/tex] and [tex]\sqrt{19}[/tex].

Option (A).

If the triangle is a right triangle.

By Pythagoras theorem,

(Longest side)² = (Leg 1)² + (Leg 2)²

[tex](\sqrt{19})^2=2^2+(\sqrt{12})^2[/tex]

19 = 4 + 12

19 = 16

Not true.

Therefore, its not a right triangle.

Option (B).

If it is a triangle following conditions will be followed.

1). a + b > c

2). b + c > a

3). a + c > b

For the given sides of the triangle,

1). 2 + √12 > √19 [True]

2). 2 + √19 > √12 [True]

3). √12 + √19 > 2 [True]

Therefore, the given measures of the sides will form a triangle.

Option (C)

By Pythagorean inequality theorem,

If c² =  a² + b² → Right triangle

If c² > a² + b² → Obtuse triangle

If c² < a² + b² → Acute triangle

Since, (√19)² > 2² + (√12)² → 19 > 4 + 12

Therefore, the given triangle is an Obtuse triangle.

Option (D).

Not true. It's an obtuse triangle.    

Answer:

The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m

Answer:

Solution,

Let the length of tunnel be 'l'

Area=25 m^2

Volume of tunnel= cross sectional area* length

[tex] or \: 575 = 25 \times l \\ or \: l = \frac{575}{25} \\ l = 23 \: m[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

The correct option is;

g(x) = Negative two-fifths(10)x

Step-by-step explanation:

The rule for the reflection across the x-axis is as follows;

Reflection about the x-axis

Pre-image point before reflection = (x, y)

Point of image after reflection = ((x, -y)

Therefore, the x coordinate remains the same while the y coordinate changes sign

For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have

Reflection about the x-axis

Pre-image point before reflection = (x, f(x))

Point of image after reflection = (x, g(x))

Hence g(x) = -f(x) = -2/5(10)x.

Answer:

A

Step-by-step explanation:

Answer:

34%

Step-by-step explanation:

According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.

Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.

Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 =  34%.

List the hours from 1 to 8

Multiply the hours by how much she is paid per hour ( $12)

X: 1, 2, 3, 4, 5, 6, 7, 8

y: 12, 24, 36, 48, 60, 72, 84, 96

Answer:

21/20, or 1.05.

Step-by-step explanation:

In this case, the measure of angle R is the same as angle V.

To find the tangent of a triangle, you do opposite over adjacent.

So, the tangent of angle V is 21 / 20.

That means that tan(R) = 1.05.

Hope this helps!

Answer:

f(1) = 0

Step-by-step explanation:

If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0

Answer: x+1 plus the fator

Step-by-step explanation:

Hey there! :)

Answer:

m∠2 = 135°.

Step-by-step explanation:

∠1 and ∠2 are supplementary angles, meaning that they both sum up to 180°. Therefore:

m∠2 = 180 - m∠1

m∠2 = 180 - 45

m∠2 = 135°.

Answer:

9√2

Step-by-step explanation:

Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.

Answer:

Option C is the correct option.

Solution,

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

$50 per ticket.

Step-by-step explanation:

Although it is tempting to keep raising the price for a higher profit, if you raise the price by too much, people will stop buying tickets and you will not gain as much money as you could have gotten with, say, $50 per plate.

The more you raise the price, the less tickets you can sell.

Hope this helps!

Answer:

B. regular octagon

I hope this will help you

Answer:

a bag of 5 kg potatoes for $4.99

Step-by-step explanation:

estimated $5.00 for 5 kg

5.00/5 = $1.00 per kg