Class A has 15 pupils and class B has 29 pupils. Both classes sit the same maths test. The mean score for class A is 35. The mean score for class B is 36. What is the mean score (rounded to 2 DP) in the maths test across both classes?​

Answers

Answer 1

Answer:

35.66

Step-by-step explanation:

Don't work with the mean given at first

1. Multiply the mean of class A by the number of students in class A

35 times 15=525

2. Multiply the mean of class B by the number of pupils in class B

36 times 29=1044

3. Add the answers you got

1044+525

4.Add the pupils of both classes

29+15=44

5.Then divide the total grades and pupils

1569/44 =35.659

6 Then round off

=35.66


Related Questions

Evaluate the formula for the area of a triangle to solve the problem.

The area of a sandbox = one-half base times height. The height is 2.4 meters and the base is 3.5 meters.

Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.

First, write the
.

Next, use parentheses when you substitute
for b and
for h.

Now, simplify by
1
2
, 2.4, and 3.5.

The area of the sandbox is
m².

Answers

The area of the triangle will be 4.2 square meters.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The height is 2.4 meters and the base is 3.5 meters.

Then the area of the triangle will be

Area = 1/2 x b x h

Then we have

Area = 1/2 x 3.5 x 2.4

Area = 4.2 square meters

More about the triangle link is given below.

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✔ formula: A =  1/2 bh

✔ 3.5

✔ 2.4

✔ multiplying

✔ 4.2

Step-by-step explanation:

Took quiz

Please help me on this question I’m very confused I will give you brainless??

Answers

To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED

Sum of Angles in a Triangle

The value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.

Data;

m<FED = (16x - 8)m<EFD = 35m<EDF = 2x + 9

[tex]35+(16x-8)+(2x+9) = 180[/tex]

Reason: The sum of angles in a triangle is equal to 180 degrees.

But we would need to solve for the value of x.

[tex]35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8[/tex]

Let's substitute the value of x into m<FED

[tex]m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0[/tex]

The value of m<FED is equal to 120 degrees.

From the diagram given, m<CBD is complimentary with m<BED

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I need helppppppp :((

Answers

Answer:

  H  x/10 = 18/8

Step-by-step explanation:

The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.

__

  [tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]

_____

Additional comment

The values used in the other answer ratios are not "corresponding."

Answer:

H

Step-by-step explanation:

∠ADE is a scaled version of ∠ ABC.

So,

18:8

and

10:x

Ratios can be expressed as fractions:

[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].

Since the scale factor is the same,8/18 has to be the same as 10/x.

Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].

Hope this helps!!!

Please mark me as brainliest!!!

This took a lot of effort.

Element X decays radioactively with a half life of 14 minutes. If there are 310 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 5 grams?
y = a(.5) /

Answers

Answer:

83.4

Step-by-step explanation:

Are EFG and HIJ similar

Answers

Yes, AAA criteria. The corresponding angles are congruent

Answer:

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

Hope it helps, have a fantastic day.

Step-by-step explanation:

We all know from geometry that all the angles of a triangle add up to 180 degrees.

We can form the following equation:

[tex]100 + 35 + E = 180[/tex]

[tex]E[/tex] here represents the measure of angle E.

Add together like terms:

[tex]135 +E = 180[/tex]

Then subtract 135 from both sides:

[tex]E = 45[/tex]

We can, likewise, form another equation for angle J :

[tex]100 + 45 + J = 180[/tex]

Add together like terms:

[tex]145 +J = 180[/tex]

Then subtract 145 from both sides:

[tex]J = 35[/tex]

Angle E equals 45 degrees and angle J equals 35 degrees.

If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.

One day you consume 290 grams of carbohydrates, 60 grams of fat, and 70 grams of protein. What are your total calories for the day?

290 grams of carbs=
60 grams of fat=
70 grams of protein=
Total for the day=
explain please thanks

Answers

Answer: 1980 calories

Step-by-step explanation:

290grams of carbs=1160g

60 grams of fat=540

70 grams of protein=280 calories

290 x 4=1160

60 x 9=540

70 x 4=280

1160+540+280=1980 calories

carbs provide 4 calories per gram

fat provides 9 calories per gram

protein provides 4 calories per gram

How do I answer this 1x+2

Answers

Here is the answer and how to solve it answer is x+2

Answer:

x+2

Step-by-step explanation:

Given polynomial:

1x+2

x can be written as 1x, which is

1x = x

Same case is here as well.

Rewrite 1x as x:

x + 2

There isn't any like terms so we can't simplify.

The value of a television t years
after its purchase is modeled by the
exponential function ƒ(t) =
1500(0.83)t. Which best describes
the domain and range of this
exponential function?

Answers

Step-by-step explanation:

hope you anderstand

if that's the answer can you brainliest me please thank you

Find the slope of the line passing through the pairs of points. (-11. - 11) and (10,- 1)​

Answers

Answer:

the slope is [tex]\frac{10}{21}[/tex]

Step-by-step explanation:

slope formula for linear equations:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex]  [tex]= \frac{10}{21}[/tex]

Please help I'll give 100 points to whoever is correct

Answers

Answer:

110.5 yd²

Formula's:

Area of triangle:

1/2 × base × height

Area of rectangle:

length × width

Area of the figure:

= area of triangle + area of rectangle's

= 1/2 × 11 × 7 + 3 × 4 + 5 × 3 + 5 × 2 + 7 × 5

= 110.5 yd²

Answer:

110.5 yd²

Step-by-step explanation:

Separate the figure into 1 triangle and 3 rectangles.

(see attached image)

Area 1

Area of a triangle = 1/2 × base × height

                             = 1/2 × (7 + 2 + 2) × 7

                             = 1/2 × 11 × 7

                             = 38.5 yd²

Area 2

Area of a rectangle = width × length

                                 = 3 × (5 + 2 + 2)

                                 = 3 × 9

                                 = 27  yd²

Area 3

Area of a rectangle = width × length

                                 = 5 × (5 + 2)

                                 = 5 × 7

                                 = 35  yd²

Area 4

Area of a rectangle = width × length

                                 = 2 × 5

                                 = 10  yd²

Total Area

Area 1 + Area 2 + Area 3 + Area 2 = 38.5 + 27 + 35 + 10

                                                        = 110.5 yd²

Juan leaned a 55-foot ladder against the side of a building. The base
of the ladder is 21 feet from the base of the building. The top of the
ladder is 11 feet from the top of the building. How tall is the building?
Provide an answer accurate to the nearest tenth of a foot.
11
55
21
tabel optional



PLEASE HELP ME PASS 8th GRADE

Answers

Answer:

61.8 feet to nearest tenth.

Step-by-step explanation:

USING THE PYTHAGORAS THEOREM:

55*2 = 21^2 + h^2  where h is the height of the top of the ladder from the ground.

h^2 = 55^2 - 21^2

      =  2584

h = √2584

   =  50.83 ft.

So the height of the building

= 11 + 50.83

= 61.83 feet.

A bag contains 5 red marbles, 10 white marbles, and 9 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red?

Answers

Answer:

5/24

Step-by-step explanation:

Number of red marbles = 5

Number of white marbles = 10

Number of blue marbles = 9

Total number of marbles = 24

P(getting red marbles) = (Number of red marbles)/(Total number of marbles)

P(getting red marbles) = 5/24

Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?

1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5

Answers

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

x and y will be the numbers of grapes and potatoes he purchased.

How does the graph of f(x) = -4^5x - 3 differ from the graph of g(x) = -4^5x?

A. The graph of f(x) is shifted three units to the right of the graph of g(x).

B. The graph of f(x) is shifted three units down from the graph of g(x).

C. The graph of f(x) is shifted three units up from the graph of g(x).

D. The graph of f(x) is shifted three units to the left of the graph of g(x).

Answers

Using translation concepts, it is found that the correct option is given by:

B. The graph of f(x) is shifted three units down from the graph of g(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

[tex]g(x) = -4^{5x}[/tex]

The translated function is:

[tex]f(x) = -4^{5x} - 3[/tex]

3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.

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How tall is Merapi in Indonesia?
A. 2,698 meters
B. 3,000 meters
C. 5,201 meters
D. 26.2 miles

Answers

Merapi is 2,891 meters so I would go with B.) 3,000 meters

Suppose you roll a special 9-sided die. What is the probability that the number rolled is a "1" OR a "2"?

Answers

Answer:

P(1 or 2) = 2/9

Step-by-step explanation:

OR means we add each probability

If it is 9-sided, I will assume the die will be numbered 1-9

Probability of getting a 1 in mathematical notation is:

P(1) = 1/9

Probability of getting 2:

P(2) = 1/9

We add their probabilities since we want to know if we get either 1 or 2

P(1) + P(2) = 1/9 + 1/9 = 2/9

If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together

1/9 x 1/9 = 1/81

Selling price of a book at 1300:00 with a profit of 200:00 what's the selling price

Answers

Answer:

sp= 1300

p=200

Sol...

1300-200=1100


What number is 32% of 100?

Answers

Answer:

32

P = 100 × 32%(0.32) = 32

Answer:

32

Step-by-step explanation: You multiply 100 by 0.32 which is 32% as a decimal

Craig bought 8 folders and notebooks for school folders costs 50 cents and notebooks costs a $50 Craig spent a total of $6 how many folders and how many notebooks did he
buy

Answers

The number of folders and notebooks in the equation is given by 3 and 5 respectively.

How to find number of folders and notebooks?

let

x = number of foldersy = number of notebooks

The equation:

x + y = 8

0.50x + 1.0y = 6

From (1)

x = 8 - y

Substitute x = 8 - y into (2)

0.50(8 - y) + 1.0y = 6

4 - 0.50y + 1.0y = 6

4 + 0.40y = 6

4 - 6 = -0.40y

-2 = - 0.40y

y = -2 / 0.40

y = 5

Recall

x + y = 8

x + 5 = 8

x = 8 - 5

x = 3

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Simplify each expression. Write your answer as a complex number.
4i+(2+8i)
(2-7i) - (5-3i)
(5-4i)+(2-7i)
(-3-4i) - (-3+5i

Answers

Answer:

1. 2 + 12i

2. -3 - 4i

3. 7 - 11i

4. -9i

Step-by-step explanation:

just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi

Area for 10 1/4 and 10 1/2

Answers

I’ll help you but what are you trying to ask for

Can someone answer theese questions I WILL GIVE BRAINLIST and thanks and a 5 star if they are correct

Answers

The first question I think it’s A because 1.13 is larger than 1.2
I hope this helps

he average of 7 consecutive even integers is 10. What is the largest
of the 7 integers?

Answers

Answer:

only two brother ok bye

PLEASE HELP ILL GIVE 20 PTS!!!! What is the measure of an angle if it is 20 less than three times it’s own supplement?

Answers

An angle's measure is 20 times less than its supplement. Determine the angle's length. supplement = 180 - x = 180 - 130 = 50 degrees

Does anyone know how to do this Venn diagram question?

Answers

Answer:

[tex]\frac{8}{30}[/tex]

Step-by-step explanation:

Card(AUBUC)= Card(A)+card(B)+card(C)-Card (A∩B) -Card( A∩C)-Card(B∩C) +Card(A∩B∩C)

= 21 + 14 + 15 - 10 - 8 - 4 + 2

= 30

Then

Card(AUBUC) = 30

Card( A∩C) = 2 + 6 = 8

[tex]p\left( A\cap C\right) =\frac{card\left( A\cap C \right) }{card\left( A\cup B\cup C \right) }[/tex]

               [tex]=\frac{8}{30}[/tex]

A packaging factory is open from Monday to Saturday.

In a particular week, 15,000 packets were packed on Monday and the factory was also closed on Tuesday.

If no less than 100,000 packets should be packed in that week, what is the minimum equal number of packets that must be packed per day for the remaining days?

packets

Answers

Answer:

A minimum of 21250 packets per day.

Step-by-step explanation:

If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.

The factory is open 6 days a week.

They need 100,000 packets.

They have 15,000 packets.

6 subtract 2 is 4.

100,000 subtract 15,000 is 85,000.

They need 85,000 packets in 4 days.

That is a minimum of 21250 packets per day.

21250 is minimum equal number of packets that must be packed per day for the remaining days

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that packaging factory is open from Monday to Saturday.

On monday 15,000 packets were packed.

On tuesday the factory is closed.

The factory has to pack in that week of 100000 packets.

As already 2 days completed by packing 15000

The remaining packets should be packed within 4 days.

The remaining packets are 100000-15000

85000

This should be done with in four days of time.

We need to find the minimum equal number of packets that must be packed per day for the remaining days.

Divide 85000 by 4

85000/4

21250

Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days

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What is the discriminant of the polynomial below?
4x² + 4x+1

Answers

Discriminant means that delta=b^2-4ac

(4)^2-4(4)(1)=0

If the discriminant is equal to 0, the quadratic equation has 1 real solution.

Ben tracked the attendance in his class over a period of time and recorded the data in a frequency table.

Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots

Answers

A dot plot for the attendance in Ben's class over a period of time is shown in the image attached below.

What is a dot plot?

A dot plot can be defined as a type of line plot that is used to graphically represent a data set above a number line, especially through the use of dots.

In this scenario, a dot plot for the attendance in Ben's class over a period of time would be plotted as shown in the image attached below.

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Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair. (Remember the slope-intercept form is y = m x + b)
y = StartFraction 5 Over 6 EndFraction + StartFraction x Over 3 EndFraction
a.
slope = Negative StartFraction 5 Over 6 EndFraction; y-intercept (0, One-third)
b.
slope = Five-sixths; y-intercept (0, One-third)
c.
slope = Negative one-third; y-intercept (0, Five-sixths)
d.
slope = One-third; y-intercept (0, Five-sixths)

Answers

The slope of the given linear equation is 1/3 and the y-intercept will be 5/6. Then the correct option is D.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.

The linear equation is given below.

[tex]\rm y =\dfrac{5}{6} + \dfrac{x}{3}[/tex]

Then the slope of the equation will be 1/3.

And the y-intercept will be 5/6.

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Answer:

d

Step-by-step explanation:

What is the area of the circle?

Answers

Answer:

530.93

Step-by-step explanation:

area of a circle = πr²

where r = radius

here we are given the diameter

to convert to radius , we divide by 2

so radius = 26 / 2 = 13

so we have A = πr²

==> plug in r = 13

A = π13²

==> evaluate exponent

A = 169π

==> multiply 169 and π

A = 530.93 ( approximately )

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