Class A has 30 pupils and class B has 26 pupils.
Both classes sit the same maths test.
The mean score for class A is 70.
The mean score for both classes is 76.
What is the mean score (rounded to 2 DP) in the maths test for class B?

The length and width of the toolbox given the diagonal is 45 inches and 15 inches respectively.

Hypotenuse ² = opposite ² + adjacent ²

30² = w² + (3w²)

30² = 4w²

900 = 4w²

w² = 900/4

= 225

w = √225

w = 15

Therefore,

Width of the triangle = w

= 15 inches

Length of the triangle = 3w

= 3(15)

= 45 inches

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Completely factored form of Wen's polynomial is (6x² + 7) (x-2).

What is a polynomial?

An algebraic expression called a polynomial includes coefficients and variables. Indeterminates are another name for variables. For a polynomial expression, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents, but division by variable is not possible. Although a polynomial can have multiple number of terms, it can't be infinite.

Factorizing the polynomial

Complete factorization of a polynomial results in products-of-sums

Given polynomial is,

6x³ - 12x² + 7x - 14

This polynomial can be factorized as follows,

6x² (x - 2) + 7(x - 2)

Now, we can factor out the common term (x-2) form each term on either side of the plus operator. thus, we get the following factors,

(6x² + 7) (x-2)

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Answer:

Answer  is A   :)

Step-by-step explanation:

The volume of the cylinder given the radius and the height is 562.2 cubic units

Volume of a cylinder = πr²h

= 3.14 × 2² × 5

= 3.14 × 4 × 5

= 562.2 cubic units

Therefore, the volume of the cylinder is 562.2 cubic units.

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Answer:62.8

Step-by-step explanation:

just took the test

Answer:

80?

hshsshjsjsjjsjajjsjsnnsnsnnw

Step-by-step explanation:

hhddussisusuis

Answer:900

Step-by-step explanation:

The congruency statement which is true among the answer choices is;

According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.

On this note, the congruency which are true regarding the transformation are;

This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.

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Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

Answer:

$150

Step-by-step explanation:

→ Find 3/5 of 1500

( 1500 ÷ 5 ) × 3 = 900

→ Find 6/20 of 1500

( 1500 ÷ 20 ) × 6 = 450

→ Find the sum of the 2 numbers

900 + 450 = 1350

→ Minus it from the original 1500

1500 - 1350 = $150

Since the correlation coefficient has an absolute value that is less than 0.6, it is not a strong relationship, hence the statement is False.

In this problem, the correlation coefficient is of 0.08, hence:

Thus, the given statement is False.

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Answer:

B

Step-by-step explanation:

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{a}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

a = 7 × 2 = 14

The point that is a solution to the system of inequalities on the coordinates grid is A.

It should be noted that form the information given, the expression is y < −2x + 10. In this case, draw the solid line y = -2x + 10.

Shade the region below the like for x = 5.

y = -2(5) + 10

= -10 + 10

= 0

For x= 0

y = -2(0) + 10

= 0 + 10

= (0, 10)

The diagram is attached.

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Answer:

the answer

Step-by-step explanation:

Answer:

K?

Step-by-step explanation:

The answer of the answer is the answer.

Hope this helped :D

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by  

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

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Answer: 65

Step-by-step explanation:
1 + 64 = 65

See below for the explanation on how to determine the coordinates.

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine coordinates.

Assume that the start point of the buoy is

(x, y)

And the length of the buoy is k.

Depending on the position of the bouy on the coordinate plane, the endpoint can be any of the following coordinates (x - h, y), (x + h, y), (x, y + h) and (x, y - h)

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Answer:

$32,000

Step-by-step explanation:

overall cost for 4 years was $88,000. She made $44,000 after 4 years. After all 4 years she had to take out $12,000 to pay. 88,000-44,000=44,000 44,000-12,000=32,000

Answer:

$8,000

Step-by-step explanation:

Tuition per year: $22,000

Work Study Earnings per year: $11,000

Student Loans per year: $12,000 / 4 = $3,000

Annual Academic Scholarship per year:  $x

Per Year Calculations

$22,000 = $11,000 + $3,000 + $x

$x = $22,000 - $11,000 - $3,000

$x = $8,000

The months with temperature below 0° is August and October.

GIven,

T(m) = 4 sin (π/6 m)₊2

In the above equation, T(m) is the average temperature in a month in degrees Fahrenheit, and m is the month of the year.

T(8) = 4 sin (8π/6 m)₊2

       = 4 sin (4π/3 )₊2

       = 4 sin (π₊π/3 )₊2

       = ₋4 sin π/3 ₊2

       = ₋4×√3/2 ₊2

       = ₋2√3 ₊ 2 <0

The function for the average monthly temperature, in m months from january is given by

T(0) = 4 sin(10π/6) ₊ 2

       = 4 sin(5π/3) ₊ 2

       = 4 sin(2π ₋ π/3) ₊ 2

       = - 4sin π/3 ₊ 2 = ₋4 × √3/2 ₊ 2

        = ₋2√3 ₊2<0

we can notice that after january, from august till october the months will face temperature below 0 degrees.

So the answer is August and October.

Your question is incomplete. Please find the missing content here.

The average monthly temperature T(m), in degrees Celsius, in a particular city varies according to the model T of m equals 4 times sine of the quantity pi over 6 times m end quantity plus 2 comma where m represents the months of the year and January begins at m = 0. Between what months will the temperature be below 0°C?

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Using proportions, the selling prices are given as follows:

1. $46.92.

2. $15.29.

3. $17.16.

4. $20,280.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

To find the selling prices, we have to multiply the original prices by either 1.02(2% sales tax) or 1.04(4% sales tax), hence they are given as follows:

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Answer:

y= -1/2x - 4 ?

Step-by-step explanation:

Answer:

Range:  Difference of minimum and maximum values of a data set

Interquartile Range:  Difference of first quartile and third quartile of a data set

Step-by-step explanation:

Answer: what he said

Step-by-step explanation:

The mid point between the two points is at 13/8 .

A line segment is  a line of fixed measure .

The line segment extends from (-3/4) to  [tex]\rm 2 \dfrac{1}{2}[/tex]

i.e the line extends form -3/4 to 5/2

To find the mid point , the total distance needs to be determined

So the distance between the two point is

(5/2) + (3/4) = 13/8

The mid point is at half the distance of this

so it is at 13/8 from both the points

Any point at 13/8 distance from 5/2  towards (-3/4) will be

= (5/2) - (13/8)

= 7/8

So the mid point between the two points is at 13/8 .

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The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4)  *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

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Answer:

a

Step-by-step explanation:

Answer:

x = ±6

Step-by-step explanation:

9 : x = x : 4

9/x = x/4

Cross multiply.

x² = 9 × 4

x² = 36

x = ±√36

x = ±6

Pedro Fernández should advice his client to go with the second mutual fund named as Fund Corporation. This is because, it showed an higher average return over the five-year period at an average of 11% beating Trujix Inc by 3%.

To get the better fund, Pedro must calculate a simple average of the interest rates of the various funds over the past 5 year period.

Trujix Inc 5-Year Average

(12 + 10+ 3 +9 + 11)/5

= 45/5

=9%

Fund Corporation 5-Year Average

(13 + 12 +14 + 10+ 6)/5

= 55/5

= 11%

Hence, the better investment is the one by Fund corporation.

Full Question

Pedro Fernández is a manager at Avon Chic, Pedro was interested in the rates of return for the last five years of two different mutual funds. Trujix, Inc., showed a five-year period, rates of return of 12; 10; 3; 9 and 11%, while Fund Corporation showed 13; 12:14:10 and 6%. A client approached Pedro and expressed his interest in one of these mutual funds. Which one should Pedro choose for his client?

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Step-by-step explanation:

An unusual event is an occurrence that has a low probability of happening. The cutoff for identifying unusual events not always be​ 0.05, because it is not always a good idea to utilize the same cutoff to spot unexpected occurrences.

An unusual event is an occurrence that has a low probability of happening.

If an event is improbable, its likelihood is zero. If an occurrence is unavoidable, its probability is one.

The probability of an event happening increases as it gets closer to 1. An occurrence that has a probability of 0.375, for instance, is more likely to happen than one with a probability of 0.125.

The less likely an event is to occur, the closer the probability is to 0. An unusual event is what this kind of event falls under. A probability of 5%, or 0.05, is typically regarded as unusual event.

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Answer: 0.200 g

Given: Half life of Sm-146 = t1/2 = 103.5 million years

Time period, t = 1.035 billion years = 1035 million years

The original mass of the sample, [A]₀ = 205 g

To determine:

Amount of sample after t = 1035 million years

Explanation:

The rate of radioactive decay is given as:

Answer:

A: 0.200 g.

Step-by-step explanation:

The probability of randomly selecting a cream filled

Chocolate is 1/4

Let E be the event of selecting cream filled chocolate.

Number of favourable outcome = 6

Total number of possible outcome = 24

Probability if selecting a cream filled chocolate = 6/24

= 1 / 4

Hence, the probability of randomly selecting a cream filled chocolate is 1/4

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Answer:

In fraction form: 77/24

In decimal form: 3.20833

Step-by-step explanation:

That took me a while to solve but that’s the correct answer.

Hope that helps! :)

The number of sugar cubes in the box is 180

The given parameters are:

Multiply 61 and 88 by 2 and 3

61 * 2 = 122

61 * 3 = 183

88 * 2 = 176

88 * 3 = 264

The number of sugar cubes cannot be 122 and 264, because they are out of the range

So, we have:

183 and 176

There are 5 layers.

This means that the number of sugar cubes is divisible by 5.

The only number between 176 and 183 that is divisible by 5 is 180

Hence, the number of sugar cubes is 180

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