The table below shows the distribution of students who speak some Ghanaian languages.
Language Number of students .
Nzema 5
Ga 20
Twi 30
Ewe 25
Fante 10
i. Draw a pie chart to illustrate the data.
ii. What percentage of the students speaks Ewe?
iii. What is the modal language?
iv. What fractions of the students speak either Ga or Fante
Answers
Answer:27.78% ; Twi; 1/3
Step-by-step explanation:
Given the data :
Language - - - - - - - Number of students
Nzema - - - - - - - - - - - 5
Ga - - - - - - - - - - - - - - - 20
Twi - - - - - - - - - - - - - - - 30
Ewe - - - - - - - - - - - - - - - 25
Fante - - - - - - - - - - - - - - 10
1.) To prepare pie chart:
Total number of students :
(5 + 20 + 30 + 25 + 10) = 90 students
Nzema: (5/90) × 360 = 20
Ga : (20/90) × 360 = 79.99 = 80
Twi : (30/90) × 360 = 119.99 = 120
Ewe : (25/90) × 360 = 79.99 = 100
Fante : (10/90) × 360 = 39.99 = 40
Total = 360
Pie chart is attached in the picture below
2)Percentage students that speak Ewe = (25/90) * 100 = 27.78%
Or (100/360) * 100 = 27.78%
3.) Modal language : This is the language spoken by majority of the students = Twi
4.) Fraction of student that speak either GA or Fante :
(GA or Fante) = (20 + 10) / 90 = 30/90 = 1/3
Related Questions
what is the volume of the frustrum
Answers
Answer:
258.47
Step-by-step explanation:
v=πr²h/3
=π4.2 ×14/3
=258.615
? Given: All US area codes are three-digit numbers that use the numerals 0 to 9. Step 1: How many area codes are possible if the first digit can't be 0? Use your keyboard and the keypad to enter your answer. Then click Done.
Answers
Answer:
1-9, 1929
Step-by-step explanation:
You do the arithmetic and then study the us government postal codes and then you do kid behavior with my names. So, you get 1929 basically, in a nutshell, forever incessantly. thank yopu
Alice is thinking of a number n that she wants her sister to guess. Her first clue is that two less than six times her number is between ten and thirty-four (inclusive). Write a compound inequality that shows the range of numbers that Alice might be thinking of.
Answers
Answer:
10 < 6n -2 ≤ 34
n= {3, 4, 5, 6}
Step-by-step explanation:
number
⇒ n
two less than six times the number
⇒ 6n -2
it is between ten and thirty-four (inclusive)
⇒ 10 < 6n -2 ≤ 34
we can solve it as:
10 < 6n -2 ≤ 34 ⇒ add 2 to all sides12 < 6n ≤ 36 ⇒ divide by 6 all sides2 < n ≤ 6n= (2, 6]or
n= {3, 4, 5, 6}Answer:
[2,6]
Step-by-step explanation:
Translate to an inequality. Since two less than six times her number is at least ten and at most thirty-four, we have the following inequality.
10≤6n−2≤34
Solve the compound inequality by isolating the variable in the center.
10≤6n−2≤3412≤6n≤362≤n≤6
Finally, write your answer in interval notation. The inequality includes all values between 2 and 6 including the end values, therefore the final answer is:
[2,6].
The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
Answers
Answer:
P=2(length+width)
the length is 4.1 cm more than the width: l=4.1+w
61=(2(4.1+w+w))
61=8.2+2w+2w
61-8.2=4w
4w=52.8
w=13.2
Answer:
14 46\14
Step-by-step explanation:
p=L+W
p=61
L=4.1
W=?
61=4.1+W
61=4.1W
61\4.1=4.1\4.1
=14 46\14
The polynomial function F(x)= 2x^2 +4 has a critical point at which of the
following x-values?
A. X=0
B. X=4
C. X=2
D. X=-2
Answers
the answer is A,when X=0
A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder?
Answers
Greetings from Brasil...
Using Cossine we will get the length L of ladder
COS 35 = 5/L
L = 6,1Simplify the expression (4x+22x)/(2x)
Answers
Answer:
The answer is 13.
Step-by-step explanation:
here, ( 4x+ 22x)/2x
taking 2x common we get, 2x(2+11)/2x
=13 ..... is answer ( as 2x gets cancelled)
Hope it helps..
Can someone plz answer the question ASAP? Thank you. multiple choice answer yes or no
Answers
Answer:yes
Step-by-step explanation:
El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?
Answers
Answer:
0.5645
Step-by-step explanation:
De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow
Probabilidad de jugar de noche = 70% = 0.7
Probabilidad de ganar en la noche = 50% = 0.5
Probabilidad de jugar durante el día = 30% = 0.3
Probabilidad de ganar durante el día = 90% = 0.9
Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =
(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]
Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)
= 0.35 ÷ 0.35 + 0.27
= 0.35 ÷ 0.62
= 0.5645
La probabilidad de que el partido se haya jugado de noche = 0.5645
Now use technology and use the cumulative probability 0.95, the mean muequals10.5, and the standard deviation sigmaequals4.10 to determine the value for x0, rounding to one decimal place.
Answers
Answer:
18.5
Step-by-step explanation:
In the above question, we are given the following values
Cumulative probability ( confidence interval) = 0.95 = 95%
Mean = 10.5
Standard deviation = 4.10
We are asked to find the value of x.
To solve for x , we would be using the z score formula.
z score = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z score was not given in the question, but we have our cumulative probability as 95%(0.95).
Using the appropriate table,
the z score for 95% confidence is z = 1.96.
Therefore,
z score = (x-μ)/σ,
1.96 = x - 10.5/4.10
Cross multiply
1.96×4.10 = x - 10.5
x = (1.96 × 4.10) + 10.5
x = 8.036 + 10.5
x = 18.536
Approximately to 1 decimal place
x = 18.5
What is the approximate circumference of the circle shown below?
Answers
Answer:
[tex]\boxed{\sf 43.35 \ cm}[/tex]
Step-by-step explanation:
Apply formula for the circumference of a circle.
[tex]\sf C=\pi d[/tex]
The diameter [tex]\sf d[/tex] is 13.8 cm.
[tex]\sf C=\pi (13.8)[/tex]
[tex]\sf C= 43.3539786195...[/tex]
[tex]\sf{C} \approx \sf{43.35}[/tex]
Answer:
43.4 cm
Step-by-step explanation:
Circumference of the circle = 2πr
r = radius, π = [tex]\frac{22}{7}[/tex]
f = diameter÷2
=13.8 ÷ 2
= 6.9
circumference = [tex]2 * \frac{22}{7} * 6.9\\[/tex]
= [tex]\frac{303.6}{7}[/tex]
= 43.37 cm or 43.4 cm
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=11x−3 and CE=12−4x. Find x
Answers
Answer:
x = 1
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, thus
AE = CE , substitute values
11x - 3 = 12 - 4x ( add 4x to both sides )
15x - 3 = 12 ( add 3 to both sides )
15x = 15 ( divide both sides by 15 )
x = 1
help me pls with this complete a and B I will give you brainliest if answer is correct:-)
Answers
Answer:
a) Multiplied by 1.04
b)160(1.06)=169.6
Step-by-step explanation:
Its increasing so (1+4%) will be what it multiplied to.
Hope it helps u
160(1+6%)=169.6
Someone please explain
Answers
Area of a triangle is 1/2 x base x height.
The graphed triangle has height of 2 and base of 2.
Area = /2 x 2 x 2 = 2 square units.
The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4
Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.
The answer is C) 8
Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of
air and water while using less than 49 Joules of energy.
12A + 8W > 343 represents the number of minutes the robot filters air A and water IV to hiter more
than 343 liters of air and water.
3A +41V < 49 represents the number of minutes the robot hiters air and water while using less than 49
Joules of energy
Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15
minutes?
Choose 1 answer.
A. The robot meets both of Nadia's expectations.
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount
of energy
C. The robot uses the expected amount of energy, but it doesn't filter the expected amount of air
and water.
D. The robot doesn't meet either of Nadia's expectations.
Answers
Answer:
The correct option is;
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy
Step-by-step explanation:
The given requirements are;
Volume of air and water to be filtered by the robot = 343 liters
The amount of energy consumed by the robot < 49 joules
The number of minutes the robot filters air and water to filter more than 343 liters = 12A + 8W > 343
The number of minutes the robot filters air and with less than 49 Joule of energy = 3A + 4W < 49
Given that filtering air takes 20 minutes, filtering water takes 15 minutes, we have;
To filter more than 343 liters, we have
12*20 + 8*15 = 360 > 343
The robot meets the amount of air and water requirement
To filter with less than 49 joules we have
3*20 + 4*15 = 120 > 49
Therefore, the robot does not meet the energy requirement
The correct option is the robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.
11. John has a life insurance policy that will pay his family $32,000 per year if he dies. If interest rates are at 2.5% when the insurance company has to pay, what is the amount of the lump sum that the insurance company must put into a bank account?
Answers
Answer:
$1280000
Step-by-step explanation:
Given that :
John has a life insurance policy that will pay his family $32,000 per year if he dies
If interest rates are at 2.5% when the insurance company has to pay
The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.
i.e
the amount of the lump sum = $32000/2.5%
the amount of the lump sum = $32000/0.025
the amount of the lump sum = $1280000
Question 8 of 10
A T-shirt vendor is thinking about changing the number of T-shirts he brings to
an event. To make sure he doesn't run out, he plans to bring more of the size
most likely to be sold.
The table shows the number of T-shirts of each size sold at his last event and
the number he had for sale.
Sold
Number for sale
180
Small
126
Medium
220
270
284
315
Large
X-Large
95
135
Which size should he bring more of?
A. Small
B. Medium
C. Large
D. X-Large
Answers
Large-size shirts should be brought more of which is more likely to be sold.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Sales Sold
Small 180 126
Medium 220 270
Large 284 315
x-large 95 135
Now,
The percentage of small size sold.
= 126/180 x 100
= 70%
The percentage of medium size sold.
= 220/270 x 100
= 81.5%
The percentage of large size sold.
= 284/315 x 100
= 90%
The percentage of x-large size sold.
= 95/135 x 100
= 70%
Thus,
Large-size shirts are sold more.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
What is the simplified form of m-4+m
Answers
Answer:
2m - 4
Step-by-step explanation:
Add m and m.
Hope this helps :)
Answer:
[tex]\boxed{2m+4}[/tex]
Step-by-step explanation:
[tex]m-4+m[/tex]
Combine like terms.
[tex]m+m-4[/tex]
[tex]2m-4[/tex]
the question is in the attachment...
Answers
Answer:
Rest of the part will be = x - 5x/10- x/10
solution will be 4x/10 i.e 4/10 part of the garden
Step-by-step explanation:
Let the sum total of parts of garden be x
If it is divided into 10 equal parts then
one part will be equal to x/10
Given carrots are planted on 5/10 of the garden
parts on which garden is planted = 5/10 * total part of garden = 5x/10
Given peas are planted on 1/10 of the garden
parts on which peas are is planted = 1/10 * total part of garden = x/10
On rest of the part corn is planted.
Rest of the part will be = total parts of garden - part on which carrots are planted - part on which carrots are planted
Rest of the part will be = x - 5x/10- x/10 = (10x-5x-x)/10 = 4x/10
Model will be
Rest of the part will be = x - 5x/10- x/10
solution will be 4x/10 i.e 4/10 part of the garden
Need help ASAP find the value of x
Answers
Answer:
32 degrees
Step-by-step explanation:
The interior angles of a triangle always add up to 180.
Subtract the sum of 106 and 42 from 180.
180-(106+42)
180-(148)
32
x is equal to 32 degrees.
What type of relationship does a correlation coefficient of r = 0.45 indicate? A. Weak negative correlation B. Weak positive correlation C. Strong positive correlation D. Strong negative correlation
Answers
Answer:
B
Step-by-step explanation:
Here, we want to know the kind of relationship a correlation value of 0.45 represents
Generally the perfect correlation value is 1, while a correlation score of zero shows no relationship between the two quantities.
Firstly, the value we have is positive, so we have a positive correlation, since it is closer to zero than 1, we can interpret the value as being a weak positive correlation
Answer:
B
Step-by-step explanation:
I need an answer asap. I really would like some help with this
Answers
Answer:
(x + 4)² + (y + 1)² = 4
Step-by-step explanation:
From the graph attached,
Extreme ends of the diameter of the circle,
(-4, 1) and (-4, -3)
Center of the circle = Midpoint of the diameter
Center = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4-4}{2},\frac{1-3}{2})[/tex]
= (-4, -1)
Radius of the circle = Distance between the center and extreme end
= 2 units
Since standard equation of the circle is,
(x - h)² + (y - k)² = r²
where (h, k) is the center and 'r' is the radius of the circle
By substituting the values in the standard equation,
(x + 4)² + (y + 1)² = 2²
(x + 4)² + (y + 1)² = 4
What is the domain of F(x) = In (x)?
A: all real numbers except 0
B: all real numbers
C: all real numbers less than 0
D: all real numbers greater than 0
Answers
Answer:
the answer is B
Step-by-step explanation:
In terms of symbols, we would write [tex]x > 0[/tex]
The natural log function, or any log function, is not defined for x = 0 or any negative x value.
Consider the form [tex]\log_b(y) = x[/tex] which is equivalent to [tex]y = b^x[/tex] and notice how the y value slowly approaches zero but never actually gets there. That is one way to see why the inputs of any log function must be larger than 0.
linear equations: w-3=15
Answers
Answer:
w = 18
Step-by-step explanation:
w-3=15
Add 3 to each side
w-3+3=15+3
w = 18
Answer:
w = 18.
Step-by-step explanation:
w - 3 = 15
w = 15 + 3
w = 18
Check your work!
18 - 3 = 15.
Hope this helps!
Find the area of the triangle.
Answers
Answer:
10.5 cm^2
Step-by-step explanation:
Since we have two sides and the angle between those sides, we can use the alternative area formula:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
a and b are the two sides while C is the angle in between the two sides.
Plug in the numbers:
[tex]A=\frac{1}{2}(7)(6)\sin(150)[/tex]
Recall the unit circle. Sin(150) is 1/2.
[tex]A=21(\frac{1}{2})[/tex]
[tex]A=21/2=10.5cm^2[/tex]
Can someone please help me?
Answers
Answer:
B
Step-by-step explanation:
When you plug it in, another form could be y=-3x+2
Answer:
y=-3x+2
Step-by-step explanation:
y=-3x+7
parallel lines have the same slope but different y intercept which is b in the equation y=mx+b
since it passes through (2,-4) then x=2 and y=-4, m(slope)=-3
y=mx+b
-4=-3(2)+b
b=-4+6
b=2
y=-3x+2
PLEASE HELP MEEEE
I need help finding x a b and c
Answers
Answer:
x=15
angle b=7*15=105
angle a=180-105=75
angle c=2x=30
Step-by-step explanation:
b=7x
sum of straight angle :=180
isoceles traingle = 2 sides are equal, and two angles are equal
b+a=180
7x+a=180
sum of traingle =180
2a+c=180
2a+2x=180 first equation
7x+a=180 second equation
solve by elimination ( multiply second equation by 2)
2a+2x=180
2a+14x=360 ( subtract)
2a+2x-2a-14x=180-360
-12x=-180
x=-180/12=
x=15
angle b=7*15=105
angle a=180-105=75
angle c=2x=30
Find the sum of all solutions to $(4x+3)(x-8)+(x-1)(4x+3)=0$
Answers
Answer:
3 3/4
Step-by-step explanation:
(4x+3)(x-8)+(x-1)(4x+3)=0
Factor out 4x+3
(4x+3)( x-8+x-1) =0
Combine terms
(4x+3) ( 2x-9) =0
Using the zero product property
4x+3 = 0 2x-9 =0
4x=-3 2x = 9
x = -3/4 x = 9/2
Sum the solutions
-3/4 + 9/2
-3/4 + 18/4
15/4
3 3/4
Amy invests $10,000 in an account that pays 1% compound interest annually. She uses the expression (1+) to find the total value of the account after years. What will be the total value of the account after 10 years?
Answers
====================================================
Work Shown:
P = amount deposited = 10000
r = interest rate in decimal form = 0.01
n = compounding frequency = 1 (annual compounding)
t = number of years = 10
--------
A = P*(1+r/n)^(n*t) ... compound interest formula
A = 10000*(1+0.01/1)^(1*10)
A = 11046.221254112
A = 11046.22 rounding to the nearest cent
I need help with this question! solve “k” -19=b-6
Answers
k = b + 13
Step-by-step explanation:k - 19 = b - 6
k = b + 19 - 6
k = b + 13
Answer:
[tex]\boxed{k=b+13}[/tex]
Step-by-step explanation:
[tex]k-19=b-6[/tex]
Add 19 on both sides.
[tex]k-19+19=b-6+19[/tex]
[tex]k=b+13[/tex]