What is the best way to solve

Answer: D. The probability of a time from 75 seconds to 250 seconds.

Step-by-step explanation:

We know that a density curve graph for all of the possible values  from a  to b can be used to find the the probability of the values from a to b .

Given: A density graph for all of the possible times from 50 seconds to 300 seconds.

Then it can be used to find the the probability of a time in the range from 50 seconds to 300 seconds.

From all the given option only option D gives the interval which is lies in the above range.

i.e A density graph for all of the possible times from 50 seconds to 300 seconds can be used to determine the probability of a time from 75 seconds to 250 seconds.

Answer:

option c is the correct one according to me......

Answer:

Step-by-step explanation:

16 fractions less than one half

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3

Answer:

1/3, 1/4, 1/5, 1/6

In order to find the perimeter of this figure, let's calculate the length of the semicircle at the top of the figure.

The diameter of the semicircle is equal to 5 meters, so the radius (which measures half the diameter) is equal to 2.5 meters.

Now, to calculate the length of the semicircle, we can use the formula below:

Calculating the perimeter of the figure, we have:

Rounding to the nearest tenth (half even method), we have a perimeter of 30.8 meters.

Answer: It would be between 7 and 8

The third person owns 1/4 (or three twelfths) of the franchise.

To find the fraction of the franchise owned by the third person, we need to add the fractions owned by the first and second person and subtract it from the whole.

The first person owns 7/12 of the franchise, and the second person owns 1/6 of the franchise. To add these fractions, we need to find a common denominator. The common denominator for 12 and 6 is 12.

Converting the fractions to have a denominator of 12:

First person's ownership: (7/12) = (7 * 1/12) = 7/12

Second person's ownership: (1/6) = (1 * 2/12) = 2/12

Adding the fractions: (7/12) + (2/12) = 9/12

Now, we subtract the sum from the whole to find the third person's ownership. The whole is equal to 12/12.

Third person's ownership: (12/12) - (9/12) = 3/12

Simplifying the fraction, we get: 3/12 = 1/4

Therefore, the third person owns 1/4 (or three twelfths) of the franchise.

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Answer:

18 square centimeters

Step-by-step explanation:

Notice that if e is the midpoint of the side CB, and angle \(\angle x = 45^o\), then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 \(cm^2\)

Answer:

(B)  18

Step-by-step explanation:

The angle x is 45 degrees.  Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.

90 - 45 = 45

Since AB is 3, DC is 3.  Since the right triangle DC is 45-90-45, the other side, CE, will also be 3.  Since CE is half of the side of the rectangle, multiply it by 2 to get 6.  The sides of the rectangle are 3 and 6.  Use the formula for area of a rectangle to solve.

A = lw

A = (6)(3)

A = 18

The answer is B.

Answer:

(-3, -5)

Explanation:

Given the function:

First, make y the subject of the equation.

To choose a point that lies on the line, we test the x-values and see if we get the corresponding y-value.

Since the y-value corresponds to the point (-3, -5), the point that lies on the function is (-3, -5).

Answer:

19 degrees

Step-by-step explanation:

Answer:

Thank you ☺️☺️

Answer:

i hardly have got tought this yet

Answer:

x = 9

Step-by-step explanation:

set a proportion: 8/12 = 6/x => 8x = 72 => x = 9

The correct equation type for the given system include the following: \(\left \{ {{\frac{1}{2} y\;=\;-x\;+\;5} \atop {2y\;=\;-4x\;+\;20}} \right.\) ⇒ equivalent.

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

Based on the information provided above, we have the following system of equations;

1/2(y) = -x + 5       ......equation 1.

2y = -4x + 20       ......equation 2.

By multiplying both sides of equation 1 by 4, we have the following:

4 × 1/2(y) = (-x + 5) × 4

4y = -4x + 20

In this context, we can logically deduce that equation 1 and equation 2 are equivalent.

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Complete Question:

Choose the correct equation type for each system. (Equivalent, Inconsistent, Consistent)

Answer:

(5, -4)

Step-by-step explanation:

Substitute y from the first equation into the second equation:

-4x - 6(-2x + 6) = 4

Simplify:

-4x + 12x - 36 = 4

8x = 40

x = 5

The only answer choice where x = 5 is (5, -4).

Answer:

\(\boxed {\boxed {\sf (5, -4)}}\)

Step-by-step explanation:

We are given the two equations:

\(y= -2x+6 \\-4x-6y=4\)

We are asked to solve by substitution. Since we know that y is equal to -2x+6, so we can substitute the expression in for y in the second equation.

\(-4x-6y=4\)

\(-4x-6(-2x+6)=4\)

Now, solve for x by isolating the variable on one side of the equation.

First, distribute the -6 into the expression. Multiply each term in the parentheses by -6.

\(-4x+ (-6*-2x)+(-6*6)=4\)

\(-4x+12x+(-6*6)=4\)

\(-4x+12x-36=4\)

Combine like terms. There are 2 x terms that can be added.

\((-4x+12x)-36=4\)

\(8x-36=4\)

36 is being subtracted from 8x. The inverse of subtraction is addition, so add 36 to both sides of the equation.

\(8x-36+36=4+36\)

\(8x=40\)

x is being multiplied by 8. The inverse of multiplication is division, so divide both sides by 8.

\(\frac{8x}{8} =\frac{40}{8}\)

\(x=5\)

x is known, so we can find y using the first equation.

\(y=-2x+6\)

x is equal to 5, so substitute the value in.

\(y=-2(5)+6\)

Multiply first.

\(y=-10+6\)

Add.

\(y=-4\)

A solution is written as (x,y). So, the solution to this equation is (5, -4).

Answer:

a finite combination of symbols that is well-formed according to rules that depend on the context

Step-by-step explanation:

why do i feel like you have the same math teacher as me he asked me the same question on google classroom anyways hope this helps

Answer:

10 23/24 kilograms of sweet mangoes were left.

Step-by-step explanation:

Total kilograms of sweet mangoes she bought

= 20

Total no. kilograms of sweet mangoes she gave

= 5⅔ + 3⅜

= 17/3 + 27/8

= 136+81/24

= 217/24

Total no. kilograms of sweet mangoes left

= 20 - 217/24

= 480-217/24

= 263/24

= 10 23/24

Thus, 10 23/24 kilograms of sweet mangoes were left.

Answer:

Summary:

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other.

As

The parallelogram PQRS is given, so

RT = TP

Given

plug in RT = x and TP = 5x-28 in the equation RT = TP

RT = TP

x = 5x-28

switch the sides

5x-28 = x

adding 28 in both sides

5x-28+28 = x+28

simplify

5x = x+28

subtract x from both sides

5x-x = x+28-x

4x = 28

divide boh sides by 4

4x ÷ 4 = 28  ÷ 4

simplify

x = 7

Therefore, we conclude that the value of x is: x = 7

Similarly,  

QT = TS

Given

plug in QT = 5y and TS = 2y+12 in the equation QT = TS

QT = TS  

5y = 2y+12

subtract 2y from both sides

5y - 2y = 2y+12-2y

simplify

3y = 12

divide both sides by 3

3y ÷ 3 = 12 ÷ 3

simplify

y = 4

Therefore, we conclude that the value of y is: y = 7

Summary:

There are 2415 females in the country.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

There are 3450 people in a country.

It was recently estimated that females outnumber males by seven to three.

That means,

70% are the females.

So, the number of females,

= 70% of, 3450

= 70 x 3450 / 100

= 2415.

Therefore, 2415 females are in the country.

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The tax and tip when John paid $200 for a cloth if the sales tax is 1/5 and the tip is 1/10 of the amount is $40 and $20 respectively

A real world problem in which you find sales tax and a tip will be that John paid $200 for a cloth. The sales tax is 1/5 and the tip is 1/10 of the amount. How much was the tax and tip?

Tax = 1/5 × $200

= $40

Tip = 1/10 × $200

= $20

Therefore, the tax and tip when John paid $200 for a cloth when the sales tax is 1/5 and the tip is 1/10 of the amount is $40 and.$20 respectively

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Answer:

Step-by-step explanation:

if 32 was originally there now some left and 21 are left we can pit it into a subtraction equation.

32-?=21

we can also make an addition equation

21+?=32

we know that ?= 11 because of commen scene.

Answer: 32-(__)=21

Step-by-step explanation:

I like to think of what I'm given to be the left side, and what's after to be the right side. If there are 32 originally, then you take some away (since 21 is fewer than 32), that's subtracting by some number. Then, we have 21 left so put 21 on the right side. To solve, subtract the 21 from the 32 and add the unknown over to get (__)=9

Maggie's age is less than or equal to 11, m ≤ 11

An inequality can simply be described as a relation that makes an unequal comparison between two objects, numbers, elements or mathematical expressions.

It is used to compare numbers on the number line on the basis of their sizes

From the information given, we have that;

Let's substitute the values

5m + 4 + m ≤ 70

Now, let's collect like terms

6m ≤ 70 - 4

Subtract like terms

6m ≤ 66

Make 'x' the subject of formula by dividing both sides by its coefficient

m ≤ 66/ 6

m ≤ 11

Hence, the value is m ≤ 11

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Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

\(7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}\)

Option 2:

\(7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}\)

Option 3:

\(3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}\)

Option 4:

\(3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}\)

Solution:

Lets write each of the above given numbers in a simplified form:

\(7\frac{1}{3}\)

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

\(7\frac{1}{3}\) = 7.3

\(\frac{221}{30}\)

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

\(\frac{221}{30}\) = 7.367

\(7.36\)

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

\(3.16\sqrt{2e}\)

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 \(\sqrt{2*2.718}\)

= 3.16 (√5.436)

= 3.16 * 2.331523

=  7.3679949818

= 7.368

So

\(3.16\sqrt{2e}\) = 7.368

7.367995

Now we get the numbers in decimal form:

\(7\frac{1}{3}\) = 7.333333 = 7.3

\(\frac{221}{30}\) = 7.3666666667 = 7.367

7.36 = 7.3636363636

\(3.16\sqrt{2e}\) = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

\(3.16\sqrt{2e}\)

\(\frac{221}{30}\)

7.36

\(7\frac{1}{3}\)

So the correct option is:

Option 4

\(3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}\)  

Answer:

A

Step-by-step explanation:

The equation of the line perpendicular to the given line and that passes through the point is x + 3y = 6

From the question, we are to determine the equation of the line that is perpendicular to the given equation.

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line.

That is,

If m₁ is the slope of one of the lines

and m₂ is the slope of the other line

Then,

m₁ = -1/m₂

First, we will determine the slope of the given line

The equation of the given line is

y = 3x - 9

Compare the equation to the general form of the equation of a straight line

y = mx + b

Where m is the slope

and b is the y-intercept

By comparison,

m = 3

∴ The slope of the given line is 3

Thus,

The slope of the line that is perpendicular to this line is -1/3

Now,

To determine the equation this line,

We have that the line passes through the point (3, 1)

Using the point-slope form of the equation of a straight line,

y - y₁ = m(x - x₁)

m = -1/3

x₁ = 3

y₁ = 1

Putting the parameters into the equation,

y - 1 = -1/3(x - 3)

Expressing the equation in standard form

3(y -1) = -1(x - 3)

3y - 3 = -x + 3

3y + x = 3 + 3

x + 3y = 6

Hence, the equation of the line perpendicular to the given line and that passes through the point is x + 3y = 6

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Answer:

Option (4)

Step-by-step explanation:

Given table in the picture is,

x              y              1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive numbers.

Therefore, this table represents a linear function.

Option (4) will be the answer.

The type of function represented in the table is linear.

Given the table in the picture is,

x              y             1st difference

0            -7                     -  

1             -2               -2 - (-7) = 5

2             3                3 - (-2) = 5

3             8                8 - (3) = 5

4             13               13 - 8 = 5

5             18               18 - 13 = 5

There is a common difference of 5 between every consecutive number.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Therefore, this table represents a linear function.

Option (4) will be the answer.

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The monthly payment for the four wheeler from Bank A would be = $261 and from Bank B would be =$268.9

The reason why someone should chose bank A over bank B is that the monthly interest payment is lower than bank B.

Simple interest is defined as the amount of money that an individual receives due to an investment my in account for a period of time.

For bank A;

The principal amount = $5400

The rate of the investment= 8%

The time for the investment = 2 years.

Simple interest = 5400× 8×2/100

= 86400/100

= $864

The total amount = 5400 + 864 = $6264

The monthly payment for the 2years (that is, 24 months) =

6264/24 = $261.

For bank B;

The principal amount = $5400

The rate of the investment= 6.5%

The time for the investment = 3 years.

Simple interest = 5400× 6.5×3/100

= 105300/100

= $1,053

The total amount = 5400 + 1,053 = $6,453

The monthly payment for the 3years (that is, 36 months) =

6,453/24 = $268.9.

Since, the monthly interest payment for bank A is less than bank B, it will be wiser for an individual to choose bank A.

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Answer:

25y^2 -20iy + 4i^2

Step-by-step explanation:

Theres an acronymn called Foil (first, ouside, inside, last) for expanding an expression like that

For this expression:

= (5y - 2i) (5y - 2i)

= 25y^2 - 10iy - 10iy + 4i^2

= 25y^2 -20iy + 4i^2

This is assuming that "i" is not the imaginary number "i"

If four students measure their heights to be 130 cm, 130, cm, 138 cm, and 176 cm, then the average(mean) height of these students is 143.5cm.

To find the average (mean) height, follow these steps:

Hence, the average (mean) height of these students is 143.5 cm.

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