Answer:
20π ft
Step-by-step explanation:
To find the circumference of the circle given its area, first find its radius.
[tex]\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi {r}^{2} }}[/tex]
Substitute given area into the formula:
100π= πr²
Divide both sides by π:
100= r²
Square root both sides:
[tex]r = \sqrt{100} [/tex]
r= 10 ft
[tex]\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi {r}}}[/tex]
Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.
Circumference of circle
= 2(π)(10)
= 20π ft
A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs. Use the sample to construct a 99% confidence interval for the proportion of all homes in the city that have solar panels installed on their roofs. What is the sample proportion? **Round to two decimal places
The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
How to calculate the confidence interval for proportion?The formula for calculating the confidence interval for proportion is expressed as:
[tex]p \pm z\sqrt{p(1-p)/n[/tex]
p is the proportion
z is the z score at 99% interval
n is the sample size
Given the following parameters
[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]
Substitute the values
[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]
Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
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If 1 ounce is approximately 28 grams, convert 392 grams to ounces. Round to the nearest hundredth,
Step-by-step explanation:
1 ounce = 28grams
x grams = 392
x = 392/28
x = 14.oo ounces
Jameela spins the following spinner 36 times.
A spinner with 4 equal sections labeled 1 through 4.
How many times should she expect it to land on 3?
Enter your answer as a number, like this: 42
PLEASE HELP ME IM NOT GOOD AT MATH
Using the binomial distribution, it is found that she should expect it to land on 3 9 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem:
The spinner is equally as likely to land on any of the four sections, hence p = 1/4 = 0.25.There will be 36 trials, hence n = 36.Then, the expected value is given by:
E(X) = np = 36 x 0.25 = 9.
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Olya would like to find a way to reduce her current debt. the table below shows olya’s monthly income, expenses and net income. monthly budget amount income wages $2,750.00 expenses rent $850.00 utilities $236.54 entertainment $410.00 food $220.00 cell phone $114.98 credit card
Option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
Olya would like to find a way to reduce her current debt. The table below shows Olya’s monthly income, expenses and net income.
Monthly budget amount Income wages $2,750.00 expenses rent $850.00 utilities $236.54 entertainment $410.00 food $220.00 cell phone $114.98 credit cardOlya could spend less on entertainment each month and put the money towards her credit card payment. By this way she can pay the credit card payment faster.
In the second option, she has to skip the montly payment of her school loan which is not possible.
Olya could spend less on food each month and put the money towards her credit card payment. Similar to first option, this way also she can pay the credit card payment faster.
Hence, the option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.
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Answer:
answer is B
Step-by-step explanation:
(05.01 LC) which equation can be used to calculate the area of the shaded triangle below? A. 2(10+6) = 32
B.1 over 2(10 +6) = 8
C. 1 over 2(10 x 6) = 30
D. 2(10 x 6) = 120
Answer:
(c) 1/2(10×6) = 30
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
The shaded triangle has a base of 10 feet and a height of 6 feet. Using these numbers in the formula, the area in square feet is ...
A = 1/2(10×6) = 30 . . . . square feet
This expression matches the 3rd choice.
The diameter of a cylindrical construction pipe is7ft. If the pipe is 36ft long, what is its volume?
Use the value 3.14 for, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Question:
The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)
Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft
Not fully sure....
But it should be right...
What are the coordinates?
Answer:
[tex](1,1)[/tex]
Step-by-step explanation:
If you graph it, You can see that the last point will be [tex](1,1)[/tex].
Hope This Helps!
Anyone know this or how to work this out
Answer:
140 degrees.
Step-by-step explanation:
All circles are made up of [tex]360^\circ[/tex]. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of [tex]360^\circ[/tex]
Notice the little red box, which indicates a [tex]90^\circ[/tex] angle. From the circle, we know the following angles:
[tex]\angle{RQS}=130^\circ[/tex]
[tex]\angle{TQS}=90^\circ[/tex]
We can write and solve an equation to solve for the missing angle, [tex]\angle{RQT}[/tex]:
[tex]\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ[/tex]
Combine like terms:
[tex]230^\circ+\angle{RQT}=360[/tex]
Subtract [tex]230^\circ[/tex] from both sides:
[tex]\angle{RQT}=140^\circ[/tex].
Given that cosθ= - 21/29 and the angle θ terminates in quadrant II, then what is the value of tan θ
Answer: -20/21
Step-by-step explanation:
Using the Pythagorean identity, we can get that the sine of angle theta is [tex]\pm 20/29[/tex].
But since theta terminates in Quadrant II, the sine of angle theta is positive, meaning that it has a value of 20/29.
Now, since tan = sin/cos, tan theta = (20/29)/(-21/29) = -20/21
the question is
on the image.
Answer:
PR = 7.99 cm (2 dp)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
a = PRb = PQ = 12.1 cmc = RQ = 14.5 cmSubstituting the given values into the formula;:
⇒ a² + b² = c²
⇒ PR² + 12.1² = 14.5²
⇒ PR² + 146.41 = 210.25
⇒ PR² = 210.25 - 146.41
⇒ PR² = 63.84
⇒ PR = ±√(63.84)
⇒ PR = ±7.99 (2 dp)
As distance is positive, PR = 7.99 cm (2 dp) only
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action.
Select all that apply.
I A. Action: Add 3 to both sides.
OB. Action: Multiply both sides by 3.
O C. Action: Divide both sides by 3.
D. Property: Addition property of equality
I E. Property: Multiplication property of equality
O F. Property: Division property of equality
Answer:
C , F
Step-by-step explanation:
you need to divide both sides by 3 in order to get x
3x = 12
x = 4.
the property is the division property of equality.
pls give brainliest
Find the area of a semicircle with diameter 9 cm
Answer:
31.8 cm^2
Step-by-step explanation:
Area of WHOLE circle = pi r^2
semicircle is 1/2 of this ( r = 1/2 of the diameter)
1/2 pi r^2
1/2 pi (9/2)^2 =
Geet sells televisions. he earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. if geet sells 12 televisions with extended warranties, he earns $1,080. how much is the fixed amount geet earns for each television?
well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.
so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.
which expression is a perfect cube?
Answer:
it is option b
Step-by-step explanation:
Pls do let me know in the comments for complete explanation
Sketch a graph that shows the relationship between
grams of honey and grams of salt needed for a bakery
recipe. Show on the graph how much honey is needed
for 70 grams of salt.
help pls
Answer: 98g
Step-by-step explanation:Given relationshipSalt >> Honey >> Flour10 >> 14 >> 425 >> 35 >> 10It is easy to determine that the relationship is:14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:y = 1.4*70 = 98 g
Doordash and Uber Eats motivate their drivers to take jobs by offering more money as more time passes. The following information shows how much each company offers depending on
how many minutes have passed after the customer's request.
DoorDash(table):
minutes: 0 ,5,10,15, 20, 25, (greater then or equal to sign) 30
money offered: $2.50 , $2.75 , $3.00, $5.00,$8.00, $12.00,$30.00
a) State the y-intercepts of each function and state what each one represents in this real-world context (Show your work)
b) State the maximum of each function and state what each one represents in this real-world context. (Show your work)
c) At what point do both companies pay the same amount? If you had to choose one company to work for, which one would you choose and why? (Show your work. Use evidence from above)
The functions of DoorDash and UberEats are linear functions and piecewise functions
The y-intercepts are $2.50 and $5, respectivelyThe maximum of the functions are $12.00 and $8.00, respectively.The point where the salaries are the same is (25, 12.00)The y-intercept of the functions?This is the point where the input value is 0 i.e. x = 0.
From the table, we have:
(x,y)= (0,2.50)
From the graph, we have:
(x,y)= (0,5)
Hence, the y-intercepts are $2.50 and $5, respectively
The maximum of the functionsThis is the point where the output value is at the highest
From the table, we have:
(x,y)= (25,12.00)
From the graph, we have:
(x,y)= (20,8.00)
Hence, the maximum of the functions are $12.00 and $8.00, respectively.
This also represents the maximum salaries of working in both companies
When the salary is the sameThis is the point where the values of both functions are equal
From the table and the graph, we have:
(x,y)= (25,12.00)
Hence, the point where the salaries are the same is (25, 12.00)
DoorDash has a higher maximum salary; so I would choose to work at DoorDash
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Keneda dropped her folder in the hallway and her geometry notes went everywhere. Sophia is helping her gather her notes and picked up a piece of paper with the following diagram drawn on it.
Which of the following constructions would involve this diagram?
A. construction of a line parallel to through point C
B. construction of a line perpendicular to through point C
C. construction for copying AB
D. construction for copying FDE
The diagram involves the construction for copying angle FDE as angle HCG.
What is an angle?An angles is formed by the intersection of two or more lines. Acute angles are angles less than 90 degrees, obtuse angles are greater than 90 degrees while right angles are equal to 90 degrees.
The diagram involves the construction for copying angle FDE as angle HCG.
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my brother wants answers and im too lazy lol but nigel has 2 dogs. one eats 2 1/2 pounds of food each week. the other eats 1 3/8 pounds each week. together how much do the dogs eat each week
Answer:
3 7/8 would be your answer
What is the area of a sector with a central angle of 8π11 radians and a radius of 7. 2 ft? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
The area of the sector will be 59.19 ft². The area of a circle's sector is the portion of the area encompassed inside the sector's perimeter.
What is an area of the sector?The area of a circle's sector is the amount of space encompassed inside the sector's perimeter. The origin of a sector is always the circle's center.
The region of a circle encompassed by its two radii and the arc connecting them is known as the sector of a circle.
The area of a circle is found as;
A = πr²
A = π(7.2 ft)²
A = 162.78 ft²
The area of the sector is the ratio of the provided slope to the angle of the complete circle which is similar to 2π;
[tex]\rm A_S= (162.78 )\times \frac{8\pi }{11 \times 2\pi} = 59.19 \ ft^2[/tex]
Hence the area of the sector will be 59.19 ft².
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Which expression is equal to – 8s – 2s2 + 23s – 4?
A. -2s^2 + 15s - 4
B. -10s^2 + 23s - 4
C. -2s^2 - 8s + 19 - 4
D. 13s^2 - 4
Answer:
A. -2s^2 + 15s - 4
Step-by-step explanation:
The trapezoid below is made up of a square and a triangle. The total area of the trapezoid is 57.5 square meters. The area of the triangle is 32.5 square meters. What is the length of a side of the square?
Answer:
5 m
Step-by-step explanation:
The length of the side of a square is the root of the area of the square. The area of this square is the difference between the trapezoid area and the triangle area.
__
square area = trapezoid area - triangle area
square area = 57.5 m² -32.5 m² = 25 m²
Then the side length is ...
side length = √(square area) = √(25 m²)
side length = 5 m
The length of a side of the square is 5 m.
Which expression is equivalent to 20c - 8d
Answer:
4(5c-2d)
Step-by-step explanation:
if you mean in factorization
Round to nearest tenth and solve for x
Answer:
[tex]\displaystyle 9,6[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
OR
[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Find the distance between A(5, -2) B(3, -6)
Answer:
Over 2 up 4
Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6
Can someone help me?
Answer:
Min = 4
Q1 = 9.5
Median = 13
Q3 = 16
Max = 19
Step-by-step explanation:
4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19
Q1 Q2 Q3
Min (minimum value) = 4
Q1 (middle value of values before Q2) = (9 + 10) / 2 = 9.5
Median (middle value) = 13
Q3 (middle value of values after Q2) = (15 + 17) / 2 = 16
Max (maximum value) = 19
3.
Write an equation for the inverse function for each one-to-one function.
a. k(x)=58-2
x+10
b. h(x) =
x-3
need some help
Answer:
a) k(x) = 5x - 2
x = 5(y) - 2
5y = x + 2
y = (x+2)/5
k-¹(x) = (x+2)/5
b) h(x) = (x+10)/(x-3)
x = (y+10)/(y-3)
x(y-3) = y + 10
xy -3x = y + 10
xy - y = 3x + 10
y(x-1) = 3x + 10
y = (3x + 10)/(x-1)
h-¹(x) = (3x+10)/(x-1)
name a right angle I need some help
Answer:
90°
Step-by-step explanation:
A right angle is 90° ,learned that in elementary.
Answer:
A right angle is an angle with a 90 degree corner.
Step-by-step explanation:
A letter is randomly selected from the word “PINEAPPLE.” Which is
more likely, selecting "E” or selecting "P?" Explain your reasoning.
Answer:
e= 2/9
p= 3/9
Step-by-step explanation:
p is the answer
The more likely probability is selecting the letter P from the word “PINEAPPLE.”
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."
In the word "PINEAPPLE," there is only one occurrence of the letter "E."
And , there are three occurrences of the letter "P" in the word "PINEAPPLE."
Therefore, the probability of selecting E = 2/9
And , the probability of selecting P = 3/9
Hence , it is more likely to select the letter P than E
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Need done ASAP
If f(x)=2x+7 and g(x)=5x-3, which expression represents (f-g)(x) ?
Please show work
If p(a) =. 35 and p(b) =. 45 and p(a and b) =. 25, then p(b|a) is
Answer:
p(b|a) =5/7
Step-by-step explanation:
hello :
note : p(b|a) = p(a and b)/p(a)
p(b|a) = 25/35 =5/7
The value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
We're given that:
P(A) = 0.35P(B) = 0.45P(A and B) = P(A ∩ B) = 0.25P(B|A) = to be known.Using the chain rule of probability, we get:
[tex]P(A \cap B) = P(A)P(B|A) \\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)} = \dfrac{0.25}{0.35} = \dfrac{5}{7}[/tex]
Thus, the value of the probability of the event B given A, symbolically P(B|A), when it is known that P(A) = 0.35, P(B) = 0.45 and P(A∩ B) =0.25 is found as: P(B|A) = 5/7
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