Volume of a sphere:
V = (4/3)πr³
Circumference of a sphere:
C = 2πr
Surface area of a sphere:
A = 4πr²
above are important sphere related equations
so to find the surface area plug in values for equation
A= 4πr²
= 4 × 3.14 × 5.4 ×5.4
= 366.25 mm²
The average resident of Metro City produces 630 pounds of solid waste each year, and the standard deviation is approximately 70 pounds. Use Chebyshev's theorem to find the weight range that contains at least of all residents' annual garbage weights.
The weight range that contains at least 75% of all residents' annual garbage goes between 420 pounds and 787.5 pounds.
AveragesGiven that the average resident of Metro City produces 630 pounds of solid waste each year, and the standard deviation is approximately 70 pounds, to determine the weight range that contains at least 75% of all residents' annual garbage weights, the following calculation must be performed:
630 - 70 = 560630 + 70 = 700560 x 0.75 = 420630 x 1.25 = 787.5Therefore, the weight range that contains at least 75% of all residents' annual garbage goes between 420 pounds and 787.5 pounds.
Learn more about averages in https://brainly.com/question/22801800
Number 13 please.it’s the answe.r
A bag is filled with marbles. Three fifths of the bag consists of 27 red marbles. The rest of the bag is filled with yellow marbles.
How many yellow marbles are in the bag?
Answer:
There are 18 yellow marbles in the bag.
Step-by-step explanation:
Let total marble be x,
3/5 of x = 27
or, 3x = 135
so, x = 45
Total = 45
Now,
yellow marbles = 45 - 27 = 18
Answer:
18 yellow marbles.
Step-by-step explanation:
Solve for the letter x:
HELP PLEASE !!!!!!!!!!!
Answer: c because the y intercept is the only correct one, not only that, if you plug in 4 as x in the equation, the y value would be -2 and that ordered pair fits on the line in the graph
Step-by-step explanation:
The distance from A to D is 2 and 5/6km.
AB is 4/5km more than BC
CD is 2/3 less than BC
Calculate the distance from C to D.
2/15
but iam not sure check with other guy
5. The two numbers rolled can be added to get a sum. Find P(sum is even). (1 point)
1/4
15/36
1/2
3/4
For the following right triangle, find the side length X. Round your answer to the nearest hundredth
Answer:
x = 7.48
Step-by-step explanation:
You need to use the Pythagorean theorem to solve this problem.
leg^2 + leg^2 = hypotenuse^2
a^2 + b^2 = c^2
5^2 + x^2 = 9^2
25 + x^2 = 81
subtract 25 from both sides.
x^2 = 81 - 25
x^2 = 56
Square root both sides.
x = sqroot(56)
x = 7.48
Dale is following this recipe to make shortbread fingers. Dale uses 240 g of flour. How many shortbread fingers does he make? Recipe: Makes 24 fingers 125 g butter 55 g sugar 180 g flour
Answer:Answer:
"For 75 g butter ≈ 27 fingers
Step-by-step explanation:
Using unitary method
For 20 fingers = 55 g butter
For 1 g butter = 20/55 fingers
=> For 1 g butter = 4/11 fingers (Simplified form)
Multiplying both sides by 75
=> for 75 g butter =
=> For 75 g butter ≈ 27 fingers ( approximately )"
Excerpt from Brainly
Mrs. Sheldon has the desks
in her room in a square
formation with the same
number of desks in each row.
If there are a total of 25 desks
in her room, how many desks
are there in the first two
rows?
Answer:
16, 21
Step-by-step explanation:
PLEASE HELP SOON, WILL GIVE BRAINLYIST!!! Just look at image!
Answer: 46 degrees
Explanation:
Angle PRS = 98 degrees
The two smaller pieces add up to this larger angle, so,
(anglePRQ) + (angleQRS) = angle PRS
(3x-8) + (2x+6) = 98
5x-2 = 98
5x = 98+2
5x = 100
x = 100/5
x = 20
Then we can find each angle
angle PRQ = 3x-8 = 3*20-8 = 52 degreesangle QRS = 2x+6 = 2*20+6 = 46 degreesNotice how 52+46 = 98 to confirm the answers.
Geometry - Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures.
Orthe branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.
[tex]\huge\blue{\mid{\fbox{\tt{QUESTION}}\mid}}[/tex]
Find the measures of ∠QRS
[tex]\huge\blue{\mid{\fbox{\tt{SOLVE}}\mid}}[/tex]
∵Add
[tex](3x-8)+(2x+6)=98\\5x-2=98\\5x=100\\x=20[/tex]
__________
[tex]\huge\blue{\mid{\fbox{\tt{FIND QRS}}\mid}}[/tex]
Values
[tex]{\boxed{x=20}[/tex][tex]2x+6[/tex][tex]40+6[/tex][tex]46[/tex][tex]\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}[/tex]
∠QRS ⇒ [tex]{\boxed{46}[/tex]
on a road map 1 inch represents 25 miles. how many miles would 2.5 inches represent ? explain in one sentence
Answer:
25 miles * 1 inch = 25 miles; 25 miles * 2.5 inch = 62.5 miles
Step-by-step explanation:
Hope this helps!!
Calculate the average speed for the following sections on the graph.
Answer:
A to B = 2000 m/s
C to D = 30,000m/s
Step-by-step explanation:
A to B is 10secs and the distance is 200m so you multiply them and you get 2000m/s
C to D is 60secs and the distance is 500m so you multiply and you get 30,000m/s
Answer:
a to b is 20m/s I'm in k12 and I got the same question but I don't know for c to d yet
Step-by-step explanation:
A =0
B=200
T=10s
200 divided by 10 is 20m/s
and for the question at the bottom, the answer is c bc c to d is accelerating
FINAL QUESTION PLEASE HELP MEEEE!!! CORRECT ANSWER GETS BONUS POINTS!!
Answer:
∠DFE
Step-by-step explanation:
Complementary angles mean the two angles added together would equal a sum of 90°
What is the equation of a horizontal line that passes through the point
(7, 11)
Answer:
y = 11
Step-by-step explanation:
A horizontal line passes through every single x - value, but only 1 y - value.
A vertical line hits every y-value and only 1 x-value.
The only y-value given is 11, so the equation is y = 11
-Chetan K
Please help me on the math work
Answer: x = -20
Step-by-step explanation:
I need help on number 10 and 9
Answer: 1. 55 ft 2. 10 ft. 3.3 in.
Step-by-step explanation:
For question 9, you need to understand that the angle on the left is equal to the one on the right from the mirror priniciple. Now let's say the height of the dinosaur is x ft. We would get the equation 5.5/4 = x/40 and we get that x is 55, thus the height of the dinosaur is 55 ft
For question 10, we use the same similarity principle as we use in question 9 so given that the height of the light pole is h in. we get the equation
h/185 = 62/93
So, h is 123.33(I used a calculator, hope that's fine). Thus the height of the light pole would be 123.33 in. or 10 ft. 3.3 in.
Hope this helps!!!!
Analyze the following budget, with an income of $750, to determine how much can be spent on food for the month. Month________ Budgeted Amount Food $___ Personal Items $20 Cell Phone $75 Entertainment $85 Car Expenses – Gas, Insurance $260 College Savings $250 a. No more than $70 can be spent on food. B. No more than $75 can be spent on food. C. No more than $80 can be spent on food. D. No more than $60 can be spent on food. Please select the best answer from the choices provided A B C D.
The phrase "no more than" implies upper limit. The correct choice for food budget is: Option D. No more than $60 can be spent on food.
How to find the remaining amount after deduction?Suppose that you had initial amount as A.
Let you deduce B, C, and D from it.
The remaining amount is obtained by subtraction.
Thus,
Remaining amount = A - (B + C + D) = A - B - C - D
For the given case, the budget left for food is the remaining amount after all the expenses are reduced from the income.
Income = $750
Expenses except food: $20 + $75 + $85 + $260 + $250 = $690
Thus, budget left is $750 - $690 = $60
This remaining budget is left. The person can spent either full of it on food or less than it, but cannot spend more than it as that person doesn't have more than $60 left.
Thus:
Food budget is no more than $60.
or
Food budget ≤ $60
Thus,
The correct choice for food budget is: Option D. No more than $60 can be spent on food.
Learn more about inequality here:
https://brainly.com/question/11901702
the price paid for a 83.50 dollar chair with an 8 percent sales tax
Answer:
$90.18 dollars
Step-by-step explanation:
Given the following question:
Original cost = $83.50
Sales tax = 8%
In order to find the price paid for the chair, we find 8 percent of the original price. Then we add that number to the $83.50 for the chair and then we will have our answer.
[tex]\frac{8\times83.5}{100} =8\times83.5=668\div100=6.68[/tex]
Sales tax of the chair is $6.68.
[tex]83.50+6.68=90.18[/tex]
Total cost of the chair after an 8 percent sales tax is "$90.18 dollars."
Hope this helps.
Whats 29x 7.4 show work
Answer:
214.6
Step-by-step explanation:
First, split 7.4 into number, this makes it easier later.
29*7=203
0.4*29=11.6
Next add them up for your total.
203+11.6=214.6
Answer:
214.6
Step-by-step explanation:
29x7.4=214.6
Type the integer that makes the following subtraction sentence true:
_____ − –99 = 3
Answer:
-96
Step-by-step explanation:
when there are two subtraction signs it is basically a plus sign
so
___ + 99 = 3
then you can subtract 99 from both sides
___ = -96
your answer is -96
Mike has an adjusted gross income of $85,643. He claims two exemptions and can deduct $896 for state income tax, $2,145 for charitable donations, and $3,473 for medical expenses. If the standard deduction is $5,700 and exemptions are each worth $3,650, what is Mike’s total taxable income? a. $72,643 b. $75,479 c. $71,829 d. $66,129 Please select the best answer from the choices provided A B C D.
Answer:
The answer would be C. $71,829
Hope this helped :D
The net salary after all deductions will be $66,129 and can be calculated by subtraction of gross salary from all deductions thus option (d) is correct.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
Gross income = $85,463
Deductions are,
Income will be $896
Exemptions is 2 x $3,650
Charitable donations is $2,145
Exemptions is 2 x $3,650 expenses is $3,473
Add all above the deduction to find out the total deduction,
$896 + $2,145 + $3,473 + 2 x $3,650 = $13,814
Thus, net income will be as by subtraction,
$85,463 - $13,814 = $66,129
Hence "The net salary after all deductions will be $66,129 and can be calculated by subtraction of gross salary from all deductions".
For more about subtraction,
https://brainly.com/question/1927340
#SPJ6
The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers
Answer:
30
Step-by-step explanation:
Since we have five numbers and their mean is 16 as we all know that
mean = summation of total numbers / summation of total number of terms
Mean = 16 for 5 numbers
sum = 16 x 5 = 80( sum of the five terms)
when two extra numbers are added, it then becomes 7 numbers . since the numbers are unknown we then represent each numbers with the X and Y
New sum = 80 + x + y
new number of terms = 7
new mean = 20
20 = 80 + x + y
7 we cross multiply to get the unknown values
20 x 7 = 80 + x + y , 140 = 80 + x + y
we use y as subject of the formula to get x
140 - 80 + x = y
60 + x = y, y = 60 + x
we input y = 60 + x into the equation (140= 80 + x + y) to get x
140 = 80 + x + 60 + x , 140 = 80 + 60 + x + x
140 = 140 + 2x , 140 -140 = 2x
0 = 2x , divide both sides by 2 to get x
x = 0
we then input x = 0 into the equation to get y
140 - 80 + x = y
140 - 80 + 0 = y , 60 + 0 = y
y = 60
To find the mean of the two extra numbers, we then use the above formula for finding mean.
60 + 0 / 2 = 60 / 2 =30
mean = 30.
What is the product?
Answer:
It refers to the result of one or more multiplication.
The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. What are the two numbers?
А. 12 and 4
B. 15 and 7
C. 20 and 12
D. 23 and 15
Help fast
Select the function table that matches the equation below.
y=1/4x+6
Answer:
It is number 3
Step-by-step explanation:
bc i said so
Find the area of a circle with radius,
r
= 6.82m.
Give your answer rounded to 2 DP.
Answer:
42.8
Step-by-step explanation:
Amount of Sleep
10
9
8
Frequency
2
0-3
4-7
8-11
12-15
Time (hours)
What percentage of Mr. Hamilton's students slept 3 hours or less?
%
Answer:
I guess 3 hours is the answer.
Tips
Answer:
3 hours
Step-by-step explanation:
3 hours is the answer
A store sells 24 greeting cards for $12.
Select the three unit rates that describe this sale.
A 2 cards per dollar
B $0.50 per card
C 10 cards per $5
D $6 per dozen cards
WICH IS CORRECT
Answer:
D
Step-by-step explanation:
SOO SORRY I EDITED THIS BC A WAS WRONG I MISREAD
if 24 cards = $12, 1 card = $2 (24 / 12)
dozen = 12
if half of 24 is 12, and 24 cards cost $12, half of 12 is 6. same goes for the price. $12 / 2 = 6.
Calculate the expected Gain of Loss of stock ABC.
Please help if you can!
==================================================
Explanation:
Focus on the first row only. We won't worry about the other stocks.
Convert each of the percentages to decimal form
40% = 0.4015% = 0.1545% = 0.45Then multiply those decimal values with their respective gains or losses.
Use a negative sign to indicate losses.
0.40*(-25) = -100.15*5 = 0.750.45*45 = 20.25The last step is to add up each of the results to get the expected value.
-10+0.75+20.25 = 11
The result is positive, so it's a gain rather than a loss.
On average, we expect an $11 gain for stock ABC.
----------
Side note: Thank you for making the screenshot much more clear.
Answer:
$11 gain
Step-by-step explanation: