The approximate diameter of the circle is [tex]\mathbf{ 6\dfrac{2}{5} }[/tex]
What is the circumference of the circle?The circumference of the circle typically means finding the perimeter of the circle. It refers to the equal arc length of the circle as though the circle is expanded and flattened out towards a line segment.
It can be determined by using the formula:
C = πd
where;
C = circumeference = [tex]\mathbf{20 \dfrac{4}{35}}[/tex]d = diameter = ??[tex]\mathbf{20 \dfrac{4}{35} = \pi d}[/tex]
[tex]\mathbf{\dfrac{704}{35} = \pi d}[/tex]
[tex]\mathbf{d = \dfrac{704}{35} \div \pi }[/tex]
[tex]\mathbf{d = \dfrac{704}{35} \div \dfrac{22}{7} }[/tex]
[tex]\mathbf{d = \dfrac{704}{35} \times \dfrac{7}{22} }[/tex]
[tex]\mathbf{d = \dfrac{32}{5}}[/tex]
[tex]\mathbf{d = 6\dfrac{2}{5} \ \ \ as \ a \ mixed \ number }[/tex]
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Answer:
The answer is 6 2/5.
Step-by-step explanation:
I took the test! :)
Yeah can someone explain this to me
Answer: 75° is the smallest amount you need to rotate the image for it to look the same.
Step-by-step explanation: I hope it can be correct :))
Suppose that 12 inches of wire costs 36 cents.
At the same rate, how much (in cents) will 42 inches of wire cost?
Answer:
126 cents, or $1.26
Step-by-step explanation:
First you divide 42 by 12 and get 3.5, then you multiply that by 36 and get you answer.
For a one-sample test for a population proportion p and sample size n, why is it necessary that np0 and n(1−p0) are both at least 10 ?.
The sample size must be large enough to support an assumption that the sampling distribution of the sample proportion is approximately normal. Therefore, the correct answer is option is C.
In order to use the normal approximation, we consider both np and n( 1 - p ). If both of these numbers are greater than or equal to 10, then we are justified in using the normal approximation.
While conducting a one-sample test, the population proportion is taken as p and the given sample size is n.
For the sample data to be used for the normal approximation
n×p≥10 and
n(1-p)≥10
Condition should be met.
That means when the np and n(1-p) value is greater than 10, the entire sample can be said to behave like a normal distribution.
This can be regarded as a general rule of thumb, and typically the larger the values of np and n(1-p), the better is the approximation.
Therefore, the correct answer is option is C.
To learn more about the population proportion visit:
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"Your question is incomplete, probably the complete question/missing part is:"
For a one-sample test for a population proportion p and sample size n, why is it necessary that np0 and n(1-p0) are both at least 10?
A) The sample size must be large enough to support an assumption that the distribution of the population is approximately normal.
B) The sample size must be large enough to support an assumption that the distribution of the sample is approximately normal.
C) The sample size must be large enough to support an assumption that the sampling distribution of the sample proportion is approximately normal.
D) The sample size must be large enough to support an assumption that the observations are independent.
E) The sample size must be large enough to support an assumption that the sample proportion is an unbiased estimator of the population proportion.
I need help please quickly
what is 1875 ÷ 125 (show ur work)
Answer:
15
Step-by-step explanation:
Okay so I do this kind of weird so it might be a little confusing
What's easier for me is this.. 125 * 10 is 1250
Now there is 625 left to the problem is 625/125
Then I do 125 + 125 + 125 + 125 + 125 (Adding it 5 times so that I can see when it hits 625 is easier than dividing for me)
So you take the 10 from the first part and the 5 from the second part (Got the 5 because you added it 5 times)
10 + 5 is 15
Answer:
1/15
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 125 and 1875 is 125
Divide both the numerator and denominator by the GCD
125 ÷ 125
1875 ÷ 125
Reduced fraction:
1/15
Therefore, 125/1875 simplified to lowest terms is 1/15.
Please solve for X and find the measure of B
Answer:
Step-by-step explanation:
A and B are both equal (corresponding parts)
A = B
5x - 5 = 3x + 13 Add 5 to both sides
5x = 3x + 13 + 5 Combine
5x = 3x + 18 Subtract 3x from both sides
5x - 3x = 18 Combine
2x = 18 Divide by 2
2x/2 = 18/2
x = 9
Angle B
B = 3x + 13 Let x = 9
B = 3*9 + 13
B = 27 + 13
Angle B = 40
-4x+3<9 help please and show your answer
Answer:
X =1,5
Step-by-step explanation:
==>-4x+3<9
==>-4x<9-3
==>-4x<6.
==>[tex]x = \frac{6}{4} [/tex]
==>x =1.5
How do you write this number using words?
44,038
Answer:
forty four thousand thirty eight
Step-by-step explanation:
Answer:
forty four thousand thirty eight
Step-by-step explanation:
combine the words for the number place + digits.
hope this helps!
Algebra 2
I need help with this worksheet and if you can explain your answers because I don’t know this topic yet. And only answer my question if you have a realistic answer
Answer:
1-) 2-) 3-)
VA = -3 VA = -2 VA = -1, 1
HA = 1 HA = 0 HA = 0
Im not exactly sure how to do the tables or find the Domain I had a bit of trouble with the math part on that one, Hope this Helps though!
At 5 a. M. , the temperature at an airport was −9. 4°F. Six hours later, the temperature was 2. 8°F. Which expression represents the total temperature change over the six hours?
∣∣−9. 4+2. 8∣∣
−9. 4+2. 8
∣∣2. 8−(−9. 4)∣∣
∣∣2. 8+(−9. 4)∣∣
Answer:
Step-by-step explanation:
∣∣2. 8−(−9. 4)∣∣
∣∣2. 8+(−9. 4)∣∣
For questions 1-10, find the unknown angle.
Answer:
above is the solution to the question
Jerliyn picked 40 apples in5 minutes What is the unit rate
Answer:
8
Step-by-step explanation:
40 divide by 5 is 8 x=8
Answer:
Step-by-step explanation:
The total of apples: Total apples = 40
The time: Time = 5 min
Unit rate = 40 ÷ 5 = 8 apples per min
Find the probability of rolling an even number on both dice.
Answer:
1/4
Step-by-step explanation:
Sample space = {(2,2) (2,4) (2,6) (4,2) (4,4) (4,6) (6,2) (6,4) (6,6)}
= 9/36
= 1/4
Which equation represents a line which is parallel to the line y = 5x-2
Answer:
10
Step-by-step explanation:
5×2=10 hope that's what u mean
Rewrite 2(3x)+7+8 in simplest form
Answer:
[tex]6x+15[/tex]
Step-by-step explanation:
[tex]2\left(3x\right)+7+8[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:7+8=15[/tex]
[tex]=2\cdot \:3x+15[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6[/tex]
[tex]=6x+15[/tex]
Hence, the correct answer is: [tex]6x+15[/tex]
Answer:
[tex]\huge\boxed{\sf{6x+15}}[/tex]
Step-by-step explanation:
Hello.
Let's solve this problem.
First, multiply 2 times 3x:
6x
Now, add 7 plus 8:
15
Write the expression:
6x+15
Can this expression be simplified any further?
No.
Why?
Because variables and constants are not like terms.
In this case, the variable is x, and the constant is 15.
I hope it helps
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Using synthetic division, what is the quotient (2x3 − 3x − 10) ÷ (x − 2)?
Answer:
(2x3 − 3x − 10) ÷ (x − 2) = ( x-2)
Step-by-step explanation:
Answer:
2x^2 + 4x + 5
On what interval is the function decreasing?
Answer:
[2, 5]
Step-by-step explanation:
it decreases where x is 2 and it end at where x is 5
btw [ ] these mean that they include the x (i think)
while ( ) these mean that they dont include the x, like idrk how to explain it D: but thats my best explanation
4X=80 question in assignment
I need help with Rational Functions
Answer: (5a+b)/2
Step-by-step explanation:
1. First factor 5a^2+36ab+7b^2
=(5a+b)(a+7b)
2. Factor 2a+14b
The two can be factored out, making the equation equal to 2(a+7b).
The factored out equation is now [tex]\frac{(5a+b)(a+7b)}{2(a+7b)}[/tex]
Since there is an (a+7b) on both sides of the fraction, they cancel out. You are left with (5a+b)/2. This fraction cannot be simplified more.
To verify you can multiply (5a+b)/2 times (2a+14b). If it is correct, it should come back out as 5a^2 + 36ab +7b^2
How would I do this?
Answer:
Step-by-step explanation:
A triangle's angles have to equal to 180 degrees , so option B is not a triangle because it equals to 175
Answer:
A. Triangle? Yes. How do I know? Triangles add up to 180 degrees, and the angles measures add up to 180.
B. Triangle? No. How do I know? The angle measures only add up to 175 degrees, so it can’t be a triangle.
C. Triangle? Yes. How do I know? A triangle = 180 degrees and the angle measures add up to 180.
Find the distance between: (2, -9) (-1,4)
Answer: The distance between the points in exact form is
√178 and the decimal form is 13.34166406...
Suzanna wants to measure a board, but she doesn't have a ruler to measure it. However, she does have several copies of a book she knows is 17 centimeters tall.
A: Suzanna lays the books end to end and finds that the board is the same length as 21 books. How many centimeters long is the board?
B: Suzanna needs a board that is at least 3.5 meters long. Is the board long enough? Explain.
Every book is 17 centimeters tall/long.
A : If the board is the same length as 21 books, its length is 17 x 21 = 357 centimeters.
B : 357 centimeters = 3.57 meters
Since 3.57 > 3.5, the board is long enough.
Yoko's penny bank is 2/5 full. After she adds 320 pennies, it is 2/3 full. How many pennies can Yoko's bank hold?
Answer: 1200 pennies
Step-by-step explanation:
Let x be the number of pennies Yoko's bank can hold.
We can set up an equation representing the information given.
[tex]\frac{2x}{5} + 320 = \frac{2x}{3}[/tex]
We can multiply both sides by 15:
6x + 4800 = 10x
Combine like terms:
4x = 4800
Divide both sides by 4:
x = 1200
Answer:
12/15
Step-by-step explanation:
A store sells a laptop for $1,137.84. This is after a markup of 32% has been applied to the original price the store paid for the laptop.
Which equations will help find the original price of the laptop, x?
The equations that can be used to determine the original price of the laptop are p (1 + 0.32) = $1,137.84 and $1,137.84 = 1.035p
What is mark up?Markup is when the price of an item is increased by a certain percentage. The cost of the laptop was increased by 32%.
What is the equation that can be used to determine the original price?The price of the laptop after the increase = p(1 + percentage increase)
p (1 + 0.32) = $1,137.84
$1,137.84 = 1.035p
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
Tell whether the angles are adjacent, vertical, complementary, or supplementary. Then find the value of x
x=70 vertical opposite
Answer:
Vertical Angles
x = 70 °
Step-by-step explanation:
Vertical angles are a pair of opposite angles formed by intersecting lines.
since one sides is 70 ° that means the other side is the same.
Therefore x = 70°
[RevyBreeze]
All of the following are changes that occur in the body during exercise EXCEPT:
A. Blood pressure decreases
B. Breathing rate increases
C. Arteries supplying the muscles dilate.
D. Heart rate increases
i need to get it right because i dont know this
Answer:
Step-by-step explanation:
The following are not true:
H. The length of RT = 24 in
J. The length of Q = 30 in
Answer:
H and J are false
Step-by-step explanation:
The triangles are proportional meaning you can cross multiply to find q
30/42 20/q
20*42 = 30q
840 = 30q
q =28
A store pays $307 for a refrigerator. The store marks up the price by 38%. What is the
amount of the mark-up?
Round your answer to the nearest dollar
Answer:
Since the $307 is the buying price of the store which makes it 100%. The store needs to make a profit from the refrigerator so it adds a +38% on the refrigerator making it a value of 138% of $307 which is 138/100 * $307 =$423.66 but we need it to the nearest dollar which will be rounded of to $424 since it passed the .5 mark
Step-by-step explanation:
An ice cream cone has a diameter of 7 cm and a height of 13 cm. If you
have 2600 cubic centimeters of ice cream, what is the maximum number
of cones that you could completely fill?
Which equation represents the perpendicular
bisector of AB whose endpoints are A(8.2) and
B(0,6)?
1: y = 2x - 4
2: y=-1/2x+2
3: y=-1/2x+6
4: y = 2x - 12
Answer:
1: y = 2x -4
Step-by-step explanation:
The perpendicular bisector of the given segment is the line through its midpoint that has a slope that is the opposite reciprocal of the segment's slope.
SlopeThe slope of the given segment can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (6 -2)/(0 -8) = 4/-8 = -1/2
The opposite reciprocal of this is ...
m' = -1/(-1/2) = 2 . . . . (eliminates answer choices 2 and 3)
__
PointThe midpoint of the given segment is ...
(A+B)/2 = (8 +0, 2 +6)/2 = (4, 4)
__
Y-interceptThe y-intercept of the perpendicular bisector can be found from ...
b = y -mx
b = 4 -(2)(4) = -4
Then the equation of the perpendicular bisector is ...
y = 2x -4
