Class A has 28 pupils and class B has 8 pupils.
Both classes sit the same maths test.
The mean score for class A is 34.
The mean score for class B is 78.
What is the mean score (rounded to 2 DP) in the maths test across both classes?
Answer:
43.78
Step-by-step explanation:
In this case, the formula for mean can be as followed:
[tex]mean = \frac{sum \: of \: all \: student \: scores}{number \: of \: students} [/tex]
Let the sum of all student scores for class A and class B be A and B respectfully,
For Class A,
A/28 = 34
A/28 = 34A = 952
For Class B,
B/8 = 78
B/8 = 78B = 624
Now to find the mean score of both classes using the same formula,
Mean = (952+624)/(28+8)
= 43.77777777777778
≈ 43.78
Samir recorded the number of different types of pets his friends have in the table shown below:
Cats 2
Dogs 4
Rabbits 1
Guinea Pigs 4
Which of the following plots represents the data in the table?
Equations, graphs, Slopes and y-intercepts : application
Answer:
the answer to the graph is y=-4x-3
Answer:
y = -4x - 3
Step-by-step explanation:
The given line has :-
slope = -4y-intercept = (0, -3)Substituting in slope-intercept form
y = mx + by = -4x - 3Solve
-6=|3x|
A. X =2;x=-2
B. X=12;x=-12
C. X= 1/2; x = -1/2
D. No solution
Answer:
D. [tex]\displaystyle No\:Solution[/tex]
Explanation:
The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:
[tex]\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|[/tex]
The negative absolute value of an integer however, IS negative.
I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.
Is √8 a rational number ?
Answer:
Hence, the square root of 8 is not a rational number. It is an irrational number.
Step-by-step explanation:
according to my math book.. thanks me later
PLS I NEED HELP
What are some details from the essay "Names/Nombres" that support the central idea and Alvarez's feelings on the central idea? List at least three examples of text from the essay.
The main idea of the essay is her migration process to the United States and their interaction with Americans.
What is Julia Alvarez's essay about?Julia Alvarez's essay "names" refers to her and her family's migration process from her country of origin to the United States.
Once living in the United States, Julia identifies that American citizens do not know how to pronounce their names correctly due to the language difference between the two societies.
This problem is reinforced by these arguments:
At the hotel my mother was Missus Alburest, and I was a little girl, as in, “Hey, little girl, stop riding the elevator up and down. It's not a toy." the super called my father Mister Alberase.But at school I was Judy or Judith, and once an English teacher mistook me for Juliet.Learn more about essays in: https://brainly.com/question/1556386
help SOS Stevie needed twine for the gifts she was wrapping for a family party.
lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
2. Victor Larson had fixed costs totaling $2,805.60 last year, not
including depreciation. His variable costs totaled $1,870.40. His
3-year-old automobile cost $24,890.00 new and is now worth
$12,290.00. Larson drove his vehicle 16,700 miles last year. What
was his depreciation? What was his cost per mile?
The depreciation of the car is $12,600.
The cost of the car per mile is $0.28
What is the depreciation of the car?Depreciation is the decline in the value of an asset as a result of wear and tear.
Depreciation = cost of the asset - value of the asset now
$24,890 - $12,290 = $12600
What is the cost per mile?
Cost per mile = total cost / total mile
($2,805.60 + $1,870.40) / 16700 = $0.28
To learn more about depreciation, please check: https://brainly.com/question/25552427
It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches?
Of the students at Milton Middle School, 126 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?
The answer choices are:
A: 140
B: 210
C: 280
D: 350
Answer:
C
Step-by-step explanation:
[tex].45s = 126[/tex]
[tex]s = 280[/tex]
which equation can be used to describe the relationship between x and y shown in the table?
Answer:
y = 3x + 9
Step-by-step explanation:
y = mx + b
As the values of x increase by 1, the values of y increase by 3.
That means the slope, m, is 3.
m = 3
At x = 0, y = 9. That means the y-intercept, b, is 9.
b = 9
y = mx + b
y = 3x + 9
how do I simplify this expression
3x+4+2x+7
Step-by-step explanation:
3x + 4 + 2x +7
= 3x + 2x + 4 + 7
= 5x + 11
What is the distance between (-2, 4) and (5, 4) on a coordinate grid?
Answer:
7 units
Step-by-step explanation:
(Background info, skip if not interested or needed for you)
The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
a and b being sides of a right triangle, c being the hypotenuse.
When we are solving for distance we are solving for c essentially.
[tex]c[/tex] = [tex]\sqrt{a^2 + b^2}[/tex]
Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.
(solutions)
So essentially distance is:
[tex]d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }[/tex]
Now we just use the values given to us, and sub in the x and y values respectively.
(-2,4) [tex]x_1 = -2, y_1 = 4[/tex]
(5,4)[tex]x_2 = 5, y_2 = 4[/tex]
plug these values in:
[tex]d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7[/tex]
Therefore the distance is 7 units.
The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 10th term be?
Answer:
what are the answers for a b c and d
Write the equation of the circle centered at (3, 5) and tangent to x = -1. I need help pleasse
Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Need help! Here's the question...
John invests £8000 for n years in a savings account.
To find the value, V ,of her investment after n years he uses the formula:
V=8000*(1.025)^n
a)Write down the annual rate of interest John earns
Answer:
the answer is 2.5%
Step-by-step explanation:
im good at math
Hope this helps!
What is the product ?
(X-3)(2x^2-5x+1)
[tex](x - 3)(2x {}^{2} - 5x + 1)[/tex]
[tex]2x {}^{3} - 5x {}^{2} + x - 6x {}^{2} + 15x - 3 [/tex]
[tex]2x {}^{3} - 11x {}^{2} + 16x - 3[/tex]
What other properties of a kite am I missing?
Answer:
all angles are congruent
What is the value of q in the equation 59 - 10 = 75?
Answer:
[tex]\bf A)\;17[/tex]
Step-by-step explanation:
[tex]\tt 5q-10=75[/tex]
[tex]\tt 5q-10+10=75+10\;\; \bf\; Add\;10\:to\:both\:sides[/tex]
[tex]\tt 5q=85\;\;\;\bf Simplify[/tex]
[tex]\tt \cfrac{5q}{5}=\cfrac{85}{5}\;\;\; \bf Divide\:both\:sides\:by\:5[/tex]
[tex]\tt q=17\;\; \;\bf Answer[/tex]
------ " ☆ "
help.....././././////////././.
Answer:
hello, i am not sure. but the answer is between a and c
Step-by-step explanation:
Having difficulty finding the correct explanation for the boxes.
Answer:
agree - the central angle is 360°/nagree - a hexagon has 6 degrees of rotational symmetryagree - the altitude is r×cos(180°/n)Step-by-step explanation:
a)Agree. All radii of a circle are the same length, so any triangle drawn from the center of a circle to points on the circle will be an isosceles triangle. By definition, all interior angles and all side lengths of a regular polygon are congruent. So, an n-sided regular polygon inscribed in a circle can be divided into n non-overlapping congruent isosceles triangles. That means the central angle is 360°/n, a value found based on the rotational symmetry of the figure.
__
b)Agree. See the explanation in part (a). A regular hexagon has six congruent sides. Each of those can form the base of an isosceles triangle. Hence, the hexagon can be decomposed into 6 congruent isosceles triangles.
__
c)Agree. The altitude divides each of the isosceles triangles of parts (a) and (b) into two congruent right triangles. The length of the altitude can be found as the product of the radius of the circle and the cosine of half the central angle of the isosceles triangle. That is, trigonometry can be used to find the altitude.
The altitude (apothem of the polygon) is ...
a = r·cos(180°/n)
_____
Additional comment
A "correct" explanation is one that makes sense to you and your grader. The explanation you read here may not be "correct" in that sense. YMMV
[tex]89 + 96[/tex]
please help me how to solve this
Rewrite as ;
[tex]{:\implies \quad \sf (80+9)+(80+16)}[/tex]
[tex]{:\implies \quad \sf (80+80)+(9+16)}[/tex]
[tex]{:\implies \quad \sf 2(80)+(25)}[/tex]
[tex]{:\implies \quad \sf 160+25}[/tex]
[tex]{:\implies \quad \boxed{\bf 185}}[/tex]
What is the surface area of a sphere with a 4 ft diameter (round to 1 decimal)?
A) 12.6 ft2
B) 16.7ft2
C) 50.2 ft2
D) 100 ft2
TSA:-
4πr²4π(2)²3.14(4)(4)16(3.14)59.24ft²please slove
10^3⋅10^4/10^5
Answer:
100
Step-by-step explanation:
10^3= 10x10x10= 1000
10^4= 10x10x10x10= 10000
10^5= 10x10x10x10x10= 100000
( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.
ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one
step 2 solve
1000x10000/100000= 100
Answer:
10^2
Step-by-step explanation:
10^3⋅10^4/10^5
add the exponents when multiplying
10^7/10^5
subtract the exponents when dividing
10^2
Which expression is equivalent to 6(3h + g) ?
Group of answer choices
9h + g
18h + 6g
9h + 6g
18h + g
Answer:
18h × 6g is equivalent to 6(3h + g)
because 6 x 3 = 18 and 6 x 1 = 6
Help!!!!!!!!!!!!!!!!!!!!!!
Answer:
$5.80
Step-by-step explanation:
butterscotch + milk
butterscotch:
$1/5 = $0.20 x 4 = $0.80
milk:
$1 x 5 = $5
$5 + $0.80 = $5.80
50 POINTS FOR CORRECT AWNSER!
Answer:
[tex]\mathsf{y < \dfrac47x-4}[/tex]
Step-by-step explanation:
First, find the equation of the line.
Slope-intercept form of a linear equation: [tex]\mathsf{y=mx+b}[/tex]
(where m is the slope and b is the y-intercept)
From inspection of the graph, the y-intercept is at (0, -4)
Therefore, b = -4
Choose another point on the line, e.g. (7, 0)
Now use the slope formula to find the slope:
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where:
[tex]\mathsf{(x_1,y_1)=(0,-4)}[/tex][tex]\mathsf{(x_2,y_2)=(7,0)}[/tex][tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]
Therefore, the equation of the line is:
[tex]\mathsf{y=\dfrac47x-4}[/tex]
For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)
As the shading is below the line, we need to use <
Therefore, the final inequality is:
[tex]\mathsf{y < \dfrac47x-4}[/tex]
(from Unit 5, Lesson 7) Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures? 9°C, -3°C, 22°C, -5°C, 11°C, 15°C Type your answer in the box below. The range of temperatures is .
27゚C
Given the temperatures, 9゚C, -3゚C, 22゚C, -5゚C, 11゚C, 15゚C, the range difference between the highest temperature and lowest temperature is 27゚C.
22゚C - (-5゚C) = 27゚C
Segments that appear to be tangent are tangent to both circles, and CD=32. Find AC.
Answer:
x=8.4
i looked it up:)
The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths
Answer:
5:6
Step-by-step explanation:
To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.
[tex]\sqrt[3]{\frac{125}{216} } =\frac{5}{6}[/tex]
5 : 6