9/5,-5/2,-11/10,-4/5 least to greatest

Answer:

Increasing the number of people allows more variety and diversity, which makes the sample more accurate.

Answer:

y=3x

Step-by-step explanation:

The equation of a line can be written as 'y=mx+b', where 'm' is the slope, 'b' is a number, and 'x' and 'y' represent the 'x' and 'y' co-ordinates of any point on the line.

To find the slope m, take two points (x₁,y₁) and (x₂,y₂) and use the formula

m= (y₂-y₁)/(x₂-x₁)

Our points are (1,3) and (2,6):

(6-3)/(2-1)=3/1=3

Now that we have found the slope, we can write the equation as

y=3x+b

To find b, sub in a point:

9=3(3)+b

9=9+b

b=0

So our equation is y=3x

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

To learn more about : quadratic

https://brainly.com/question/1214333

#SPJ11

Answer:

4

Step-by-step explanation: 77-49 is 28 and 7 times 4 is 28

Answer:

2

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

Learn more on Simplifying an expression here: https://brainly.com/question/723406

#SPJ1

Answer:

24.9476

Step-by-step explanation:

55= 24 kilo. but since its 2.2 pounds its gonna be the answer i said (i think) Hope this helps

Answer:

24.94

Step-by-step explanation:

this is the answer

Answer:

We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:

A = Pe^(rt)

where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

Substituting the given values, we get:

A = $600.00e^(0.05*1)

Using a calculator, we get:

A ≈ $632.57

Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.

Answer:

y= -17/18x-1/3

Step-by-step explanation:

The slope-intercept form of the equation is y = (-17/18)x -1/3.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A linear equation 17x + 18y = -6.

To find the slope-intercept form:

Simplifying,

17x + 18y = -6

18y = -6 -17x

y = -17/18x -1/3

Therefore, y = (-17/18)x -1/3 is the slope-intercept form.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ2

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

Learn more on the rotation of plane figures here: https://brainly.com/question/12688268

#SPJ1

In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

Learn more about emails at:

https://brainly.com/question/20731943

#SPJ1

Answer:

260.1615 ; 70.688 ; (53.787 ; 103.304)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Data:

242.87

260.93

194.19

260.76

355.36

346.32

165.37

250.08

326.76

283.56

212

284.08

139.16

436.72

240.87

310.41

223.73

181.25

238.2

250.61

Using calculator :

Sample mean = ΣX / n

Sample mean = 5203.23 / 20

Sample mean, m = 260.1615

Sample mean, m = 260.2

Sample standard deviation (s) :

Σ(X - m) / n - 1

= 70.688

= 70.7

((n-1)*s²) / ²0. 975, 19 ; ((n-1)*s²) / ²0.025, 19

95% confidence interval :

(53.787 ; 103.304)

Ethan has a weekly salary, let "s" represent his weekly salary

He is also paid $16/delivery, if "d" represents the number of deliveries he makes, then "16d" will represent his earnings for making d deliveries.

His total pay "T" is determined by adding his weekly salary and his earnings for d deliveries, we can express this as:

One week he earned T=$215 and made d=5 deliveries, using this information we can calculate his weekly salary:

Ethan's weekly salary is $135

Now that we know his weekly salary we can express his total earnings T when he makes d deliveries as follows:

Answer:

1: 3y

2: 6x-2

3:lk

Step-by-step explanation:

The values of the variable based on the equation include:

a. x = 32

b. x = 55

c. y = -18

d. m = -70

e. p = 3

f. t = 7

g. x = -11

h. n = -25

i. u = 16

j. v = 27

k. x = -9

l. w = 64

m. y = -78

n. y = 36

o. r = 5

It should be noted that an equation simply means a formula that can be used to express the equality of two expressions.

a. 1/8x = 4

x = 4 × 8

x = 32

b. 1/5x = 11

x = 5 × 11

x = 55

c. 1/9y = -2

y = -2 × 9

y = -18

d. 1/2m = -35

m = 2 × -35

m = -70

e. 6p = 18

p = 18/6

p = 3

f. 12t = 84

t = 84/12

t = 7

g. 3x = -33

x = -33/3

x = -11

h. -4n = 100

n = 100/-4

n = -25

i. -3u = -48

u = -48/-3

u = 16

j. 2v = 54

v = 54 / 2

v = 27

k. -72 = 8x

x = -72 / 8

x = -9

l. 1/4w = 16

w = 16 × 4

w = 64

m. 13 = -1/6y

y = 13 × -6

y = -78

n. -18 = -1/2y

y = -18 × -2

y = 36

o. 1/2r = 5/2

r = 5/2 × 2/1

r = 5

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

This is a 30°-60°-90° triangle, so its sides are in the ratio 1:√3:2

The side opposite the 90° angle is 11, so the side opposite the 30° angle is 11/2 = 5.5

x is opposite the 60° angle, so its length is 5.5√3 ≅ 9.5 units

Answer:

x^2 - 24x + 22  +  (75x - 40)/(x^ +x + 2)

Step-by-step explanation:

There is no term in x^2 so we insert  + 0x^2 into the polynomial:-

x^2 + x + 2 )x^4 -  23x^3 + 0x^2 + 49x + 4(x^2 - 24x + 22 <------Quotient

                   x^4 + x^3     + 2x^2

                          - 24x^3 - 2x^2  + 49x

                          - 24x^3 - 24x^2 - 48x

                                          22x^2 + 97x + 4

                                          22x^2 + 22x + 44      

                                                        75x - 40    <-------- remainder            

Step-by-step explanation:

m∠2 = m∠4

y + 10 = 3y - 24

y - 3y = -24 - 10

-2y = -34

y = -34/-2

y = 17

m∠2 = y + 10

m∠2 = 17 + 10

m∠2 = 27°

Answer:

30%

Step-by-step explanation:

150-105 = 45

(45 / 150 ) * 100 = 30%

The percentage of 150 is left after giving out 105 is 30%

The given numbers are 150 and 105.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, the difference of numbers = 150-105=45

45/150 × 100

= 30%

Therefore, the percentage of 150 is left after giving out 105 is 30%

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

What percentage of 150 is left after giving out 105.

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

Find out more on domain here: https://brainly.com/question/26098895

#SPJ1

The probability of a California coffee mug breaking can be calculated by dividing the number of California coffee mugs by the total number of coffee mugs, which is 79. Therefore, the probability that the broken mug is a California coffee mug is 11/79, the correct answer is A

To explain this in detail, the total number of coffee mugs is 79. Out of those, 11 are from California. The probability of the coffee mug that fell being from California is the number of California coffee mugs divided by the total number of coffee mugs.

Number of California coffee mugs = 11

Total number of coffee mugs = 79

So, the probability that the coffee mug that fell is from California is:

P(California) = Number of California coffee mugs/Total number of coffee mugs

P(California) = 11/79

To learn more about probability follow the link:

https://brainly.com/question/11234923

#SPJ1

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is \(\frac{1}{9} ^3\) or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: \(\frac{1}{9} ^3\)

Therefore, 1/9 to the 3rd power is 1/729.

\(\frac{1}{9}^3=\frac{1}{729}\)

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

Answer: 39 ft2

Step-by-step explanation:

The area of the trapezoid is 39 square feet.

To find the area of a trapezoid, you can use the formula:

Area = (1/2) × (base1 + base2) × height

Given that the bases of the trapezoid are 16 feet and 10 feet, and the height is 3 feet, we can substitute these values into the formula:

Area = (1/2) × (16 + 10) × 3

Area = (1/2) × 26 × 3

Area = (1/2) × 78

Area = 39 ft^2

Therefore, the area of the trapezoid is 39 square feet.

for such more question on trapezoid

https://brainly.com/question/22351006

#SPJ8

The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.

Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.

Base salary = $10.00 per hour

Overtime pay = 1.5 of the base salary per hour

Work week = 40 hours

Commission on total sales = 3%

Sales for a month = $3,000

Commission on $3,000 sales = $900 ($3,000 x 3%)

Base salary for two weeks = $800 ($10 x 40 x 2)

Paycheck = $890 ($800 + $900)

Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

Learn more about calculating paychecks at https://brainly.com/question/14972403

#SPJ1

The sample space is (a) watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

From the question, we have the following parameters that can be used in our computation:

2 watermelon, 3 lemon-lime, and 5 grape gumballs

Rewrite the items according to their frequencies

So, we have the following representation

watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

The above represents the sample space

Hence, the sample space is (a)

Read more about probability event at

https://brainly.com/question/10739997

#SPJ1