En un grupo de 60 alumnos, 12 sacaron 10 en el examen de matemáticas. ¿Cuál es el porcentaje de alumnos que sacaron 10?
We can see that the percentage is 20%, then 20 percent of the students got a 10.
Which percentage of the students got a 10?To find this, we need to use the formula:
Percentage = 100%(number of students with a 10)/(total number of students)
Here we know the that the revelant numbers are:
Number of students with a 10 = 12
total number of students in the class = 60
Replacing that in the formula we will get the percentage:
P = 100%*(12/60)
P = 20%
So 20% of the total number of students got a 10.
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how do i go about finding x° and ycm, please?
I've tried Sine Rule & Cosine Rule... I thought i had done it correctly until i worked out the angles added up to much higher than 180° so it cannot be correct... can anyone help?
From the solution;
x = 62.62°
y = 8.9 cm
What is the sine rule?The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.
By the use of the sine rule;
a/Sin A = c/Sin C
Sin C = cSin A/a
C = Sin-1(cSin A/a)
C = Sin-1(7.8 * sin 66.4/9.2)
C = 50.98°
B = 180 - (50.98° + 66.4)
B = 62.62°
Then;
a/Sin A = b/Sin B
9.2/Sin66.4 = b/Sin 62.62
b = 9.2 * Sin 62.62/Sin66.4
b = 9.2 * 0.89/0.92
b = 8.9 cm
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Which expression is equivalent to (2.9)4? HELP ASAP
Answer:
2^4 * 9^4
Step-by-step explanation:
(2*9)^4
We can take the power to each term inside the parentheses
2^4 * 9^4
Ni yo se nomas ayuden pls
Answer:
∠A=120°; ∠B=20°.
Step-by-step explanation:
1) ∠A+∠B+∠C=180°;
2) 6x+x+40=180°; ⇒ x=20;
3) ∠A=6x; ⇒ ∠A=120°;
∠B=x; ⇒ ∠B=20°.
HELP PLS!!! I GIVE BRAINLIEST
Based on the multiplication property of equality, the statement that completes the proof is: C. CD = b(sin A) and CD = a(sin B).
What is the Multiplication Property of Equality?The multiplication property of equality is given as, if a/b = y, then a = yb. Both sides of the equation is multiplied by the same value.
In step 5 where the multiplication property of equality is applied, we would have:
sin(A) = CD/b
Multiply both sides by b
sin(A) × b = CD/b × b
b(sin A) = CD
CD = b(sin A)
This same property is applied to sin B = CD/a to get CD = a(sin B).
Therefore, the missing statement is: C. CD = b(sin A) and CD = a(sin B).
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100 Points! Algebra question. Graph the function. Photo attached. Thank you!
The cost of each pound of grass seed is $6.
A graph of the solution for the cost of each pound of grass seed is shown below.
How to determine the cost of each pound of grass seed?In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.
Let the variable x represent the cost of each pound of grass seed.
Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;
3.6x + 1.30 = 22.90
3.6x = 22.90 - 1.30
3.6x = 21.60
x = 21.60/3.6
x = $6.
In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.
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An insurance company charges Ted E. Bear $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?
Answer:
$900
Step-by-step explanation:
The given parameters are;
The amount Ted pays per year for insurance on his home = $1,400
The value of the insurance policy = $5000
The chance that Ted will make a claim on the policy = 10%
The expected value is given as follows
Incidence Probability(p) Value(v) v × p
A claim is made 0.1 $5,000 - $1,400 = -$3,600 -$360
No claim 0.9 $1,400 $1260
Expected value is $1,260 - $360 = $900
The value the insurance company can be expected to make on average on the policy is $900
Is 0.8-3 equal to -2.2
Answer:
Yes, they are equal.
Step-by-step explanation:
-3.0 + 0.8 = -2.2
Hope it helps.
Farmer Brown is tilling her field. Farmer Brown tills 2/3 of an acre in 2/7 of an hour. What is Farmer Brown's unit rate of tilling?
Answer:
2 1/3 acres per hour
Step-by-step explanation:
If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.
Pls help will mark brain list
Answer: B
Step-by-step explanation:
I did this before and got a 100%.
Tanner baked 30 cookies with 2 scoops of flour. With 3 scoops of flour, how many cookies can Tanner bake? Assume the relationship is directly proportional.
Answer:
45 cookies
Step-by-step explanation:
30 ÷ 2 = 15. 15 cookies = 1 scoop of flour. 15 x 3 = 45. Tnaner can make 45 cookeis with 3 scoops of flour.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
PLEASE HELP!
A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
You are playing a board game and your playing piece begins the game at START. You roll a single number cube numbered 1 to 6 to find out how many spaces you can move.
What is the theoretical probability of landing on a question mark space on your first roll.
A 1/6
B 1/4
C 1/3
D 1/2
Answer:
C 1/3
Step-by-step explanation:
out of the 6 possible moves you have the possibility of landing on question mark twice. 2/6 -> 1/3
This online review question is giving me a hard time
To solve the system of equations by substitution method, we will use the first equation to substitute the expression in the second one. Then, we will see if there is a way to solve it.
\(\begin{gathered} 2x-4(\frac{1}{2}x+\frac{7}{4})=1 \\ 2x-2x+7=1 \\ 7=1 \end{gathered}\)Because the substitution resulted in a not possibility of solving, and it is a false statement the relation it leads to, we are able to conclude that the system of equation has no possible solution:
the first n terms of the progression. The first term and common difference of an arithmetic progression are a and -2. respectively. The sum of the first n terms is equal to the sum of the first 3n terms Express a in terms of n. Hence, show that n = 7 if a = 27.
If a is the first term of an AP with common difference -2, then the first several terms are
a, a - 2, a - 4, a - 6, a - 8, …
with n-th term a - 2 (n - 1).
The sum of the first n terms is equal to the sum of the first 3n terms :
\(\displaystyle \sum_{i=1}^n (a-2(i-1)) = \sum_{i=1}^{3n} (a-2(i-1))\)
We have
\(\displaystyle \sum_{i=1}^N (a-2(i-1)) = (a+2)\sum_{i=1}^N - 2\sum_{i=1}^Ni = (a+2)N - 2\cdot\dfrac{N(N+1)}2 = (a+1)N-N^2\)
so that in the previous equation, the sums reduce to
\((a+1)n-n^2 = (a+1)(3n)-(3n)^2\)
Solve for a :
\((a+1)n-n^2 = (a+1)(3n)-(3n)^2 \\\\ (a+1)n-n^2 = (a+1)(3n)-9n^2 \\\\ 9n^2-n^2 = (a+1)(3n)-(a+1)n \\\\ 8n^2 = (a+1)(2n) \\\\ 4n = a+1 \\\\ \boxed{a=4n-1}\)
Now if a = 27, we have
27 = 4n - 1
28 = 4n
n = 7
as required.
What is the value of x in the equation 2x - 3/5 = -1/10
Answer:
1/4
Step-by-step explanation:
you add 3/5 to the other side and find the lcm making it 6/10--1/10=5/10. Then 5/10 divided by 2 = 2.5/10 which you can simplify to 1/4.
Answer: x=1/4
Step-by-step explanation:
1. Isolate x: if you move -3/5 to the other side, your equation would become
=> 2x=-1/10+3/5
2. Find the common denominator: since you can't add -1/10 with 3/5 without simplifying, you're equation would change to this:
=> 2x=-1/10+6/10
3. Simplify:
=> 2x=5/10 => 2x=1/2
4. Divide:
=> 2x=1/2 => x=1/2*1/2 => x=1/4
Have a nice day! :D
For each graph below, state whether it represents a function.
Function?
Chuck
Graph 1
●
OYes
4-
2-
●
Graph 4
●●
No
Graph 2
OYes
O No
Graph 5
Graph 3
●
A
OYes
O No
Graph 6
Save For Later
© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use
Answer:
a .yes
b.no
c
d.yes
e.no
f
g
h
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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HELP PLEASEEE:)))) THIS IS ALGEBRA II BTWWW
Answer:
The answer is B
Step-by-step explanation:
I am 100% sure
Plz help plz ill give brainliest
A scientist is growing bacteria.
The number of bacterial cells triples every week.
There are currently 20 cells.
Which expression shows how to find the number of cells in 4 weeks?
A. f (4) = 3 ∙ 204
B. f (4) = 4 ∙ 203
C. f (4) = 20 ∙ 34
D. f (4) = 20 ∙ 43
Answer:
B. f (4) = 4 · \(20^{3}\)
Step-by-step explanation:
I did the quiz too
What is the volume of the rectangular prism?
Answer:
\(10^{3}\)
Step-by-step explanation
3 x 5 x 2 = 30 x 1/3 = \(10^{3}\)
If A is to the right of B on a number line, which of the following must be true?
Answer:
B. a>b
Step-by-step explanation:
a is the higher number line beacuse it is farthter right than b. so a>b
According to a survey conducted by the Association for Dressings and Sauces, 80% of American adults eat
salad once a week. A nutritionist suspects that this percentage is not accurate. She conducts a survey of
445 American adults and finds that 374 of them eat salad once a week. Use a 0.005 significance level to
test the claim that the proportion of American adults who eat salad once a week is equal to 80%.
Claim: Select an answer which corresponds to [Select an answer
Opposite: Select an answer which corresponds to [Select an answer
The test is: Select an answers
The test statistic is: z-
(to 2 decimals)
The Critical Value is: z-
Based on this we: [Select an answer
Conclusion: There Select an answer appear to be enough evidence to support the claim that the
proportion of American adults who eat salad once a week is equal to 80%.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
How to solveTo test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.
Claim: p = 0.80
Opposite: p ≠ 0.80
The test is a two-tailed z-test.
Sample proportion (p) = 374/445 = 0.8404
Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)
z = 2.53 (rounded to 2 decimals)
Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.
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The diagram of an isosceles trapezoid is labeled below. If the area of the trapezoid is 168 square units, the what is the height, h, out of the trapezoid?
simplifying 14 to the 0 power + 2 to the 7th power plus 15 to the 1 power?
Answer:
144
Step-by-step explanation:
1+128+15
144
What expression is equivalent to (24+9)
Answer:
welol its in parentheses and no matter what you always do parentheses first and it shows
(24+9) and the answer to that is 33
bc your simply just adding 24+9
Step-by-step explanation:
or if your looking for something similar do
(11+22)
After 4years the car has a value of $ 9200
Find the average rate of change (in dollars per year) of car value for the given points.
$ __
The average rate of change of the car value is given as follows:
Rate = (9200 - Initial Value)/4.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The change in the output is of:
9200 - Initial value.
The change in the input is of:
4.
(4 years).
Hence the rate is given as follows:
Rate = (9200 - Initial Value)/4.
Missing InformationThe initial value is missing, hence the answer was given in terms of the initial value.
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please help me solve this
Answer:
55p +75a = 2725
Step-by-step explanation:
Rick is going to buy donuts for his family. Each donut costs $1.25. If the number of donuts Rick buys is represented using the letter r, which expression represents the total cost?
The algebraic expression that represents the total cost would be: A. 1.25r.
How to Write an Algebraic Expression?Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:
cost of each donut = $1.25.
Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.
Thus:
1 donut = 1.25
r donuts would cost: 1.25 × r = 1.25r.
Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.
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The following table shows the salary of 7 people in an office last year.
Name Income
Andy £9500
Bevan £25000
Cheryl £13250
Deva £75000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Maria is studying the phenomenon of pyramid power. She has read that items placed inside pyramids show amazing properties. Maria is going to see if the pyramid phenomenon will work on her young plants. She will construct an all-glass pyramid as shown.
The pyramid is regular with a square base, and all eight edges are the same length. From the possible solutions below, which amount is the closest estimate of the amount of glass Maria will need to construct her pyramid?
a) 1935 cm squared
b) 3353 cm squared
c) 5289.25 cm squared
d) 8642.5 cm squared
The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.
How to calculate the area of a square based pyramid?To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:
\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)
Where:
a= 44cm
height= 44²-22²= 38.1cm
Area= 44²+ 2(44) × √44²/4 + 38.1²
= 1936+88 × √ 484+1452
= 2024× √1936
= 5807.61 cm².
Therefore the closest estimate to the final answer would be 5289.25 cm squared
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