The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys
Answer:
The mean of the remaining 3 boys is 51.
Step-by-step explanation:
The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:
[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)
([tex]p_{10} = 58[/tex])
[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)
Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.
In addition, we know the following mean marks from statement:
[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)
([tex]p_{7} = 61[/tex])
[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)
[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)
Where:
[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.
[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.
By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:
[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]
[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]
[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]
[tex]3\cdot p_{3} = 153[/tex]
[tex]p_{3} = \frac{153}{3}[/tex]
[tex]p_{3} = 51[/tex]
The mean of the remaining 3 boys is 51.
3 ÷ 6/7 i really need help! i will give you brainliest pls HELP
Answer:
7/2
Step-by-step explanation:
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3.5
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Which sets of angles listed are complementary in this diagram?
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
From the given figure we need to identify the complementary angles.
What are complementary angles?In geometry, complementary angles are defined as two angles whose sum is 90 degrees.
By complementary angles concept:
From the figure, ∠AEG+∠CEG=90°
∠AEF+∠FED=90°
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
To learn more about the complementary angles visit:
https://brainly.com/question/15592900.
#SPJ5
Solve the system of equations: y=x^2, y=x+6
A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)
Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How many grams of fat are contained in all the lemonade Samantha has for the party?
Answer: 6.75
Step-by-step explanation:
1/2 gallons = 0.75 grams
1 gallons = 1.5 grams
2 gallons = 3 grams
4 gallons = 6 grams
6 + 0.75 = 6.75
I hope this helped!
on the map above.
In the United States, large quantities of oil and natural gas can be found in region
A. 1
B. 2
C. 3
D. 4
Please select the best answer from the choices provided
A
B
С
D
Answer: C
Step-by-step explanation:The top producing states are Texas, Oklahoma, New Mexico, Wyoming, and Louisiana, which produce more than 50 percent of U.S. natural gas.
Answer:
Your answer is C
Personal Finance: Cost of a Car The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?
Answer: $20,700
Step-by-step explanation:
Given that :
List price of car = $24,000
Dealer's cost = 85% of the list price of the car
Dealer acceptance cost = $300 over the cost
Hence, total amount to be paid :
Dealer's cost + dealer's acceptance cost
Dealer's cost = (0.85 * $24,000) = $21,400
Hence, Total cost :
$20,400 + $300 = $20,700
Can somebody please help me with this math problem
Answer:
According to the question 25% of the students wore jackets.
Thus 25% of 12 wore jackets
The number of students can be found easily by multipling 12 with 25//100
12*25/100
12*1/4
12/4
thus, 3 students
Therefore, option 3 is correct
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. He writes the following conjecture: The measures of the three angles of a triangle add up to 180°. Which of the following statements is true
Complete question is;
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. he writes the following conjecture: the measures of the three angles of a triangle add up to 180°. which of the following statements is true?
a. jonas believes that his conjecture only applies to the triangles he drew and measured.
b. jonas believes that his conjecture only applies to the triangles he drew and measured.
c. jonas believes his conjecture is true for all triangles.
d. none of the above.
Answer:
C. jonas believes his conjecture is true for all triangles.
Step-by-step explanation:
A conjecture in maths is simply a conclusion or a proposition that is like an educated guess which is likely to be true due to supporting evidence from preliminary study or research. However, it is just like a hypothesis for which no proof or disproof has been gotten.
Now, to the question, he came up with that conjecture after drawing so many triangles. So it means he is making a generalized statement for every triangle and not just the ones he drew.
Thus, the correct answer is Option C.
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?
Answer:
8 - 2i
Step-by-step explanation:
Just add the real parts together and then add the imaginary parts together
5 + 3 = 8
-4i + 2i = -2i
8 - 2i
Answer:
8-2i
Step-by-step explanation:
Enter an equation in standard form to model the linear situation.
A barrel of oil was filled at a constant rate of 6.7 gal/min. The barrel had 12 gallons before filling began.
Answer:
jdfjafdsds
Step-by-step explanation:
Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP I WILLL GIVE BRAINLIEST!!!!!!!!!
Answer:
24
Step-by-step explanation:
Answer:
R is D
Step-by-step explanation:
Mathematical Expression:
R=D divided by T
For Y=R substitute R with RT:
R=D
A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x. What is the value of y? 3 4 5 6
Answer: y=3
Step-by-step explanation:
Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.
To get the measure of y, you can use left and right or top nd bottom.
I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3
You can check it by substituting. 2(3)+4=10 The answer is the measure of the right side, which is the same as the measure of the left side.
I hope this helps you!
Answer:
3
Step-by-step explanation:
Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times.
Solve for the variable : 5y+6=3(y+4)
Answer:
y = 5
Step-by-step explanation:
Answer:
Y=3
Step-by-step explanation:
You would want to multiply y and 4 by 3.
5y+6=3(y+4)
×3 ×3
5y+6=3y+12
Now you want to have y by itself. You can first subtract 6 for starters.
5y+6=3y+12
-6 -6
5y=3y+6
5y=3y+6
-3y -3y
2y=6
Now you would want to divide.
2y=6
÷2 ÷2
y=3
You're answer would be y=3.
Is the product of 0.4 * 1.8 greater then or less then 0.4
Answer:
Greater
Step-by-step explanation:
.4*1.8 is .72
.72 is greater than .4
Which unit rate corresponded to the proportional relationship shown in the graph?
Step-by-step explanation:
the graph is a picture designed to express words, particularly the connection between two or more quantities. You can see the graph . A simple graph usually shows the relationship between two numbers or measurements in the form of a grid.Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
alternate interior angles
Step-by-step explanation:
I know for sure that this is one of the answers to your question sorry i didnt get to help more
Answer:
alternate interior angles
Step-by-step explanation:
There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?
Answer: 112 people.
Step-by-step explanation:
Answer:
You would need 112.5 people to eat all the stacks of pancakes.
Step-by-step explanation:
45 times 5 = 225
and then 225 divided by 2 is 112.5
Hope this helps!
Good question lol
There are 5 chairs to every 2 tables in class. Which ratio is equivalent to 5:22
35:14
15:12
10:6
40:18
Answer:if your meaning 5:2 the answer would be 35:14
Step-by-step explanation:
You simply would have the find the equal to it so by multiplying both by 7 would make it equal. 7 × 5 is 35 and 7 × 2 is 14
Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.
Answer:
Step-by-step explanation:
CACA POOP
Answer:
464
Step-by-step explanation:
hwe
Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?
what is the midpoint of the line segment (-6,3) (-10,7)
Answer:
(-8,5)
Step-by-step explanation:
its what comes in between the two
...........I need help......
The anwer is B, f(x)=9500-750x
Hope this helps, brianliest if you can!
ten bag of beans cost 350:00cedi find the cost of 6 bags
Please select the word from the list that best fits the definition
energy obtained from heat within the earth
Answer:
geothermal
Step-by-step explanation:
energy obtained from heat within the earth-geothermal
Helppppppp plzzzzzzzzzxzxzmfyfdtidt
Answer:
y=7
Step-by-step explanation:
Distribute: 9y-4y-4=31
Add like terms: 5y-4=31
Isolate: 5y=35
Divide each side by 5: y=7
ANSWER: y=7
Hope this helps
PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS
Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.
[tex]\huge\boxed{125.}[/tex]
[tex]\boxed{-------------------------------------}[/tex]
Explanation...
So, 25 legislators represents 500,000 people.
We are trying to find how much legislators you need to represent 2,500,000.
500,000*5=2,500,000.
25*5=125.
Therefore, your answer is 125.
[tex]\boxed{-------------------------------------}[/tex]
Hope i helped!
[tex]\huge\boxed{Thanks,Plip.}[/tex]
Answer: 125
In Kennington, 25 legislators represent 500,000 people.
Find how many times 500,000 go into 2,500,000 people.
2,500,000 ÷ 500,000 = 5
Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.
25 x 5 = 125.
Answer = 125.
Hope this helps you!
write an equation and use it to find the value of x will mark brainiest
Answer:
equation: (12x+19) + (22x-9) = 180
x= 5
Step-by-step explanation:
the equation was made by the fact that the angles would add up to equal 180 degrees since the line made by them is straight
(12x+19) + (22x-9) = 180 is the same as 12x + 19 + 22x - 9 = 180
add like terms: 34x + 10 = 180
subtract 10 from both sides: 34x = 170
divide both sides by 34 to find x: x = 5
Answer:
12x+19+22x-9=180Step-by-step explanation:
its a supplementary angles:
meaning two angles adds up to 180
therefore,
12x+19+22x-9=180
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to find the value of x:
12x+19+22x-9=180
12x + 22x = 180 - 19 + 9
34x = 170
x = 170 / 34
x = 5