Class 7. Fractions & decimals
1/2 of 2 3/4

The value of the mean is 155.96mm

Calculation of the mean is:

n=5

Mean= [tex]\frac{\sum fx}{n}[/tex]

Mean=[tex]\frac{156.9+153.2+153.6+157.5+158.6}{5}[/tex]

Mean=779.8/5

Mean=155.96mm

The question was incomplete, the complete question is given below:

Auto pistons at Wenming​ Chung's plant in shanghai are produced in a forging​ process, and the diameter is a critical factor that must be controlled. from sample sizes of 10 pistons produced each​ day, the mean and the range of this diameter have been as​ follows:

Day Mean X(mm) Range R (mm)

1   156.9          4.2

2   153.2         4.6

3   153.6         4.1

4   157.5         4.8

5   158.6         4.7

What is the value of mean in mm, (round your response to 2 decimal places)

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Answer:

Option 2

Step-by-step explanation:

[tex]6x-2 \geq 10 \\ \\ 6x \geq 12 \\ \\ x \geq 2[/tex]

So, we want a graph with a closed circle at 2 with the arrow pointing to the right.

Answer:

2nd choice

Step-by-step explanation:

6x - 2 ≥ 10

add 2 to both sides

6x - 2 + 2 ≥ 10 + 2

6x ≥ 12

divided b0th sides by 6 to get x alone

6x/6 ≥ 12/6

x ≥ 2

x is greater than or equal to 2

equal to 2 is shown by a shaded in circle (cannot be option 3 or 4)

x is bigger than 2 so the arrow is to the right

64 fluid ounces is equivalent to 1920 milliliters in measurement.

Conversion of units means to convert between different units of measurement for the same quantity. Their are many different units that can be used to represent the same quantity. Some examples of units are m, cm, litre etc.

Given is Kamryn’s whose doctor recommended that she drink 64 fluid ounces of water every day and are about 30 milliliters in 1 fluid ounce.

A fluid ounce is a unit of capacity equal to one twentieth of a pint (approximately 0.028 litre)

In one fluid ounces → 30 milliliters.

Then, in 64 fluid ounces there will be → 64 x 30 = 1920 milliliters.

Therefore, 64 fluid ounces is equivalent to 1920 milliliters in measurement.

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The equation that can be used to determine Jose's age given Mario's age is j = [tex]3\frac{1}{3}[/tex]m

Th relationship between Jose's age and Mario's age can be modelled as a linear equation. A linear equation is an equation that when graphed is a straight line. The straight line can either slope upward or downward.

A linear equation is an equation that increases at a constant rate. It has a single variable that is raised to the power of one.

Looking at the table, there is a proportional relationship between  Jose's age and Mario's age.

A proportional relationship has this form: j = bm

Where:

10 = b3

b = 10 / 3

b = 3 1/3

j = [tex]3\frac{1}{3}[/tex]m

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Answer:

j=m+7

Step-by-step explanation:

Answer:

9

Composite numbers under 10:

4,6,8, and 9.

The only one of those 4 that is not a multiple of 2 is 9

Step-by-step explanation:

Hope it helps! =D

The equation is d = 3m + 5

What is an equation?

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Solving an equation with variables entails finding which variables' values make the equality true. The variables for which the equation must be solved are also known as unknowns, and the values of the unknowns that fulfill the equality are known as equation solutions. Identity equations and conditional equations are the two types of equations.

The cost function is given by the equation d = 3m + 5

where, d = dollars, m = movies

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Answer:

[tex]y-6=7(x-1)[/tex]

Step-by-step explanation:

The equation of a line with slope [tex]m[/tex] and that passes through [tex](x_1, y_1)[/tex] in point-slope form is [tex]y-y_1=m(x-x_1)[/tex].

The most appropriate choice for distance will be given by

Veronica has not calculate the number of animals seen per kilometer, she has arranged only on the basis of animals seen.

What is distance?

Distance is how much ground travelled by an object during its motion.

Here,

For River Edge

Number of animals seen = 8

Length of hike =  3 km

Number of Animals seen per km = 8/3

                                                      =2.66

For Wooden Marsh

Number of animals seen = 24

Length of hike =  8 km

Number of Animals seen per km = 24/8

                                                       =3

For Canyon Creek

Number of animals seen = 35

Length of hike =  15 km

Number of Animals seen per km = 35/15

                                                      =2.33

So from least to greatest it will be

Canyon Creek, River Edge, Marshy Land

Veronica has not calculate the number of animals seen per kilometer, she has arranged only on the basis of animals seen. That was her mistake.

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Answer:

B

Step-by-step explanation:

The inequality shown by this graph is  y ≥ 2.

the relationship between two non-equal expressions using a symbol like "not equal to," ≠ "greater than >," or "less than <  "

The inequality sign : ≥ or ≤ to use is: or because the line is solid and not dotted.

Given that the points have y-coordinate values of 2, (-5, 2), and (3, 2), respectively, and that the line crosses the y-axis at this point, the proper inequality is:

y ≥ 2

Therefore, y ≥  2 is the inequality.

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Use the distributive property to expand the binomials.

3(2x - 1) = 6x - 3
2(2x + 5) = 4x + 10

6x - 3 + 4x + 10

Combine like terms.

6x + 4x + 10 - 3

10x + 7

Step-by-step explanation:

3(2x-1)+2(2x+5)

6x-3+4x+10

6x+4x+10-3

10x+7

Answer:

30 + x + x + x = 180

so, 30 + 3x = 180

sub 30 on both sides

3x = 150

divide 3 on both sides

x = 50

Sum of Exterior Angles of Triangle is 360°.

Define Exterior Angle

The angle between any side of a shape and a line that extends from the next side is known as the exterior angle.

Let's Prove: ∠1 + ∠2 + ∠3 = 360°

The angle that is created between one of a triangle's sides and its adjacent extended side is known as the external angle. A triangle has three external angles. Let's learn about the equation for adding a triangle's exterior angles.

From the figure, we can observe that ∠1, ∠2, and ∠3 are the exterior angles of triangle ABC. We know that the sum of all the exterior angles of any polygon is equal to 360°.

Thus, sum of all the exterior angles of a triangle = 360°

Therefore, In triangle ABC the sum of exterior angles,

∠1 + ∠2 + ∠3 = 360°

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Represent the two coins

Let N represents Nickels

Let Q represents quarters

STEP 2: Get the first equation

Equation 1: Eric has 130 coins consisting of quarters and nickels. This is given as:

STEP 3: Get the second equation

The total value of all of the coins is $15.90. Each quarter represents .25 and each nickel represents .05, then the second equation is:

STEP 4: Multiply Equation 2 by 100 to remove the decimals

STEP 5: Make N the subject of Equation 1

Step-by-step explanation:

1. Transform by dividing both sides by Highest common factor which is 10 in this case.

2. Final answer is 50:1

( 1 ) The y-intercept for the first graph is 50. The correct option is B.

( 2 ) The y-intercept for the second graph is 12. The correct option is C.

( 3 ) The y-intercept for the third graph is 0. The correct option is C.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

The y-intercept of the first graph:-

y = mx + c

m= ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 350 - 50 ) / ( 4 ) = 75

y = mx + c

50 = 75 x 0 + c

c = 50

The y-intercept of the second graph:-

y = mx + c

m= ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 30 - 12 ) / ( 4 ) = 4.5

y = mx + c

12 = 4.5 x 0 + c

c = 12

The y-intercept of the third graph:-

y = mx + c

m= ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 6 - 3 ) / ( ( 8 - 4 ) = 3 / 4

y = mx + c

3 = ( 3 / 4) x 4  + c

c = 0

Therefore, the y-intercept of all the graphs is calculated above.

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The sequence {(-0.3)ⁿ}  converges by oscillation as n increases magnitude of function decreases so it converges

C. The sequence converges by oscillation. It converges to  0.

Here as n increases magnitude of function decreases so it converges.

But at any two consecutive integers function sign changes and it oscillates. Thus it is not monotonic,

the complete question is

Determine whether the following sequence converges or diverges and describe whether it does do so monotonically or by oscillation. Give the limit when the sequence converges.

{(-0.3)ⁿ}

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. The sequence diverges monotonically.

B. The sequence converges monotonically. It converges to ____.

C. The sequence converges by oscillation. It converges to ____.

D. The sequence diverges by oscillation.

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Answer:

£16.30

Step-by-step explanation:

0.5*14=7 litres for 2 weeks

The total cost to buy 7 litres = 7 × 2.35 = 16.45

The cost of 7 litres with the 1 litre jars is £16.45

The total cost to buy 7 litres = (4.65 × 3) + 2.35 = 16.30

The cost of 7 litres with the 2 and 1 litre jars is £16.30

16.45-16.30=15p

The lowest price Beth can buy this mayonnaise for £16.30.

The study of numbers and their operations, which are crucial to all other fields of mathematics, is included in the field of arithmetic operations. Addition, subtraction, multiplication, and division are the four basic operations of these systems.

It is given that, A coffee business is owned by Beth. Every day, she consumes half a litre of mayonnaise. A 1-litre jar of mayonnaise costs £2.35, and a 2-litre container costs £4.65. Beth purchases 14 days' worth of mayonnaise.

We have to find the cheapest price Beth can get this mayo for,

0.5*14=7 litres for 2 weeks

The total cost to buy 7 litres is,

= 7 × 2.35

= 16.45

The cost of 7 litres with the 1-litre jars is £16.45

The total cost to buy 7 litres is,

= (4.65 × 3) + 2.35

= 16.30

Thus, the cheapest price Beth can buy this mayonnaise for £16.30.

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The number of apples in the bag are 6

What are algebraic equations?

Algebraic equation are the equation containing coefficients and variable Which can be solved by various method like substitution and elimination.

We are given that, Ms. Yoto is putting together bags of fruit that contain 1 pear for every 2 apples.

Also the total number of fruits in the bag are 9

Now mr. Yoto is putting 3 fruit at a time and the bag contains total of 9 fruits that means 3 such sets were put

in each set there were 2 apples and 1 pear

Hence there were 6 apples and 3 pear

Hence the number of apples in the bag is 6

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Answer: 1.28

Step-by-step explanation:

1. P(Z > 0.99) = 1 -Ф (0.99) = 1-0.8389 = 0.1611

2.P(Z <-0.99) = Ф(-0.99) = 0.161 (known that from [a] by symmetry)

3.P(Z <0.99) = Ф(0.99) = 0.8389

4. P(Z >0.99) = P(Z <-0.99) + P(Z > 0.99) = 2(0.1611) = 0.3222

The value z = 10.0 is out because it is too large. On comparing with the largest value, z = 3.99,

we get

5. P(Z < 10.0) > P(Z <3.99) = 1.0

6.P(Z > 10.0)<P(Z > 3.99) =10.0

7. On solving the equation

Ф(Z) = 0.9

for Z.

In Table A4, find the value of z corresponding to the probability 0.9. The  nearest value is Ф(1.28) = 0.8997. Therefore, z ≈ 1.28

Answer:

60 tulips

Step-by-step explanation:

1 daffodils : 3 tulips

Since she planted 20 daffodils

20 × 3 = 60 tulips

Answer:26

Step-by-step explanation:

72.3 - 39.1 = 4 tens - 7 ones - 2 tens is the correct order after rewriting.

Given the formula 72.3 + (-39.1)

removing the parentheses:

= 72.3 + (-39.1) (-39.1)

= 72.3 - 39.1

converting decimal numbers to place values

72.3 = 7tens plus 2units plus 3tenths

72.3 = 7(10) (10)

+2(1)+3(1/10)

72.3 =70+2+0.3

Similarly, 39.1

39.1 = 3tens plus 9units plus 1tenth

39.1 = 3(10)+9(1)+1(1/10)

39.1 =30+9+0.1

72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)

72.3 - 39.1 = 70+2+0.3 - 30-9-0.1

72.3 - 39.1 = 70-30+2-9+0.3-0.1

72.3 - 39.1 = 40 - 7 +0.2

Hence after rewriting we get 72.3 - 39.1 = 4 tens - 7 ones - 2 tens

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The graph of the function f(x) = (4/5)^(x) is decreasing.

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In linear equation, solar system is 0.002 *  10³⁰   more than sun.

What are a definition and an example of a linear equation?

 Mass of solar = 1.991 * 10³⁰

 Mass of sun = 1.989  * 10³⁰

                     = 1.991 * 10³⁰  - 1.989  * 10³⁰

                      = 10³⁰ ( 1.991 - 1.989 )

                     = 0.002 * 10³⁰

 solar system  0.002 *  10³⁰ is  more than sun.

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Finding the equation using slope-intercept form.

[tex]y=-3x+7[/tex]

OR

Finding the equation using point-slope form.

[tex]y-1=-3[/tex] × [tex](x-2)[/tex]

Hope this helps!

It will take 6 seconds for the acorn to be 1 foot above the ground.

A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A typical form linear equation is, for instance, 2x+3y=5. When an equation is provided in this format, finding both intercepts is rather simple (x and y).

Given:

acorn is falling from 13 feet

Every seconds it descends = 4.8 feet

let us assume that the equation for the distance between the acorn from the ground is

x =13 - 4.8 y

where is y is time in seconds and x is the distance

if x = 1 foot

1 = 13 -4.8y

-12  = -4.8y

y = -12 / -4.8

y = 2.5 seconds

Hence, it will take 6 seconds for the acorn to be 1 foot above the ground.

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Answer:

20 Combos

Step-by-step explanation:

6C3 = 6! / ( 3! * 3!) = 20 COMBOS

Answer:

Talks about man's brutality

Step-by-step explanation:

It says man spoils Heaven's glorious works with blood, meaning that Earth was perhaps a gift for humans which we ourselves have ruines by engaging in brutal and barbaric acts of war and murder.

The reader is almost instantly brought into reality. The reader is made to feel like the first half of the poem was an illusion and the second half was the real reality. The sudden drop from a heaven-like and fantastical description to a dark and hellish world, makes teh reader uncomftable and almost as if realisation hits the reader and causes them to feel guilty and almost at unease of their own presence

The equation which forms the correct slope-point form equation is

y - 9 = 2( x - 5). Thus, option (1) is the answer.

The point-slope form is a method that uses the slope of the line and a random coordinate on any point of the line to create an equation of that line.

The equation in the point-slope form is written in the format: [tex]y-y_{1}=m(x-x_{1})[/tex] , where m is the slope and [tex]x_{1}[/tex] and [tex]y_{1}[/tex]are the coordinates of the point on the line.

The given slope is 2, the x-coordinate is 5, and the y-coordinate is 9. There will be no addition symbol in the equation. There is only a subtraction of the coordinates in the equation form. Since options 2, 3, and 4 have addition signs, they do not show the correct equation.

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