Answer: 17.3 in 2
Step-by-step explanation
The approximate area of the shaded sector is 34.6 in2.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
Angle = 145°
Now,
The area of a sector of a circle is given by the formula A = (θ/360)πr2, where θ is the central angle in degrees and r is the radius of the circle. In this case, θ = 145° and r = 7 in.
Plugging these values into the formula, we get: A = (145/360)π(7)^2. Simplifying, we get: A = 0.4028π(49). Using a calculator, we get: A ≈ 34.6 in2.
Therefore, by the area the answer will be 34.6 in2.
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SOLVE FOR Y, WILL GIVE BRAINLIEST
Step-by-step explanation: Notice that the angle diagonal
of the 114° is a vertical angle and vertical <'s are ≅.
Now, notice that we have two parallel lines cut by a transversal.
If two parallel lines are cut by a transversal, then
consecutive interior angles are supplementary.
So we can setup the equation 114 + y + 12 = 180.
Simplifying on the left gives us 126 + y = 180.
Now subtract 126 from both sides to get y = 54.
What is the first quartile of the following data set?
15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Answer:
20.5
Step-by-step explanation:
20 + 21 = 41. Divide 41 by 2 than you get 20.5.
The first quartile of the given data set is 20.
Here,
To find the first quartile of a data set, we first need to arrange the data in ascending order.
Then, we can calculate the position of the first quartile using the formula:
Position of the first quartile (Q1) = (n + 1) / 4
where n is the number of data points in the data set.
Given data set: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Arranging the data in ascending order: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Now, let's calculate the position of the first quartile:
n = 11 (since there are 11 data points in the data set)
Position of the first quartile (Q1) = (11 + 1) / 4 = 12 / 4 = 3
The first quartile (Q1) is the value at the 3rd position in the ordered data set, which is 20.
So, the first quartile of the given data set is 20.
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You pay $6.59 for 8 ounces of black pepper
What is the price in dollars per ounces?
dollars per ounce
How many ounces do you get for a dollar?
ounces per dollar.
Answer:
0.82375
Step-by-step explanation:
6.59 / 8 = 0.82375 oz / dollar
if correct, pls mark 5 star, thanks, and brainliest!
PLEASE ANSWER QUICKLY
Find the product of the
L.C.M and H.C.F of 8 and 12.
Answer:
96 is the answer.Step-by-step explanation:
The L.C.M of 8 and 12 is 24The H.C.F of 8 and 12 is 4We multiply 24 *4 we shall get 96 as the answer.Answer:
24*4=96
Step-by-step explanation:
lcm of 8 and 12 is 24
hcf of 8 and 12 is 4
24 times 4 = 96
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results.
Answer:
a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
Step-by-step explanation:
Binomial distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
To use the Poisson approximation for the binomial, we have that:
[tex]\mu = np[/tex]
1 in every 2500 automobiles produced has a particular manufacturing defect.
This means that [tex]p = \frac{1}{2500} = 0.0004[/tex]
a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.
This is [tex]P(X = 4)[/tex] when [tex]n = 7000[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558[/tex]
0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.
Using the approximation:
[tex]\mu = np = 7000*0.0004 = 2.8[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557[/tex]
0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
I knw don't know how to make
Answer:
Step-by-step explanation:
Use the table to solve the inequality -3x<3
Answer:
what table
Step-by-step explanation:
Answer:
x
≥
−
1
Step-by-step explanation:
Find the area of a circle with a circumference of 18.84 units
Answer:
28.25
Step-by-step explanation:
Area = C²/ 4π = 28.245673384359
Answer:
28.25 units^2
Step-by-step explanation:
Hope this helps!
A local hair salon has 6 2/3 gallons of shampoo to split among 5 hairdressers. How much shampoo will each hairdresser receive?
Answer:
1 1/3 gallons of shampoo
Step-by-step explanation:
The above question is calculated as:
5 hairdressers = 6 2/3 gallons of shampoo
1 hairdresser = x gallon
We cross Multiply
5 hair dressers × x gallon = 6 2/3 gallons × 1 hair dresser
x gallon = 6 2/3 gallons × 1 hair dresser/5 hair dressers
x gallons = 6 2/3 gallons ÷ 5
x gallons = 20/3 gallons ÷ 5
= 20/3 × 1/5
= 4/3
= 1 1/3 gallons of shampoo
Therefore, each hair dresser would receive 1 1/3 gallons of shampoo
a youth organisation collected nickels and dimes for a charity drive. by the end of the 1 day drive, the youth had collected $45.90. if there were four times as many dimes as nickels,how many of each type of coin was collected?
Answer:
Ok Now this is Hard for me Lets Just Say That Its 1 each day if though its not the answer
Step-by-step explanation: anyway Nothing
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
453 acres
489 acres
509 acres
553 acres
Answer:
553 acres
Step-by-step explanation:
94010 ÷ 170 =553
Answer:
D
Step-by-step explanation:
Select the correct answer from each drop-down menu. Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder y, but its height is three times the height of cylinder Y. The figures and have the same volume.
Answer:
sm[tex]prism M and Cylinder P\\[/tex][tex]Plato[/tex]
Step-by-step explanation:
A cylindrical can of paint has a volume of 200pi cubic inches.
What is the volume of a cone with a base and height that are congruent to the corresponding measures of the paint can?
Answer:
Step-by-step explanation:
An elevator can carry up to 2,500 pounds. Suppose the weight of an average adult is 150 pounds. At most how
many average-sized adults can safely ride the elevator at the same time? Write an inequality and solve. Let p
represent the number of people who can safely ride the elevator.
Answer:
16
Step-by-step explanation:
2500/150=16 2/3
but we dont want 2/3 of a person so just ignore that part
im in a hurry sorry
Answer:
16
Step-by-step explanation:
assuming that you can go up to 2500, simply multiple until you reach your target of 2500, i did 150 x 16 to get 2400, 100 less than 2500, meaning it would be safe and one more wouldn't.
image below and problem
Answer: 18
Step-by-step explanation: Add them all together to get the answer to the equation <3
Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent. %
Answer:
27%
Step-by-step explanation:
6/22 is 0.27. when you divide 6 by 22 you get the decimal.
Answer:
27%
Step-by-step explanation:
if f (x) = √(3) ×cos(x) + 3×sin(x) , then f َ(π/3)
Answer:
2sqrt(3)
Step-by-step explanation:
.............
Answer the question below* 1 point A grocery store offers a service where customers can place an order and have their groceries delivered to their home for an additional fee. The equation y = 1.1x can be used to find y, the total cost in dollars for x, the grocery cost in dollars. Arlyn has groceries delivered for a total cost of $119.90. He says his grocery cost must be $108.90. Is Arlyn correct? Explain your reasoning. Yes O No
Answer:
No.
Step-by-step explanation:
For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.
Now we have two equations. y=x+z, and z=0.1x.
For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.
We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.
Marlena has a bag of coins the bag contains 8 quarters 10 times 4 nickels + 2 pennies she would randomly select a coin from the bag what is the probability that Marlena will select and nickel
A) 1/12
B) 1/3
C) 1/6
D) 1/5
Plz help!!
Answer:
C) 1/6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
We have 8 + 10 + 4 + 2 = 24 coins
Of those, 4 are nickels. So
[tex]p = \frac{4}{24} = \frac{1}{6}[/tex]
The correct option is given by option C.
You have $4.10 and would like to buy some almonds .if a pond costs $8, how many ounces can you buy ?
Answer:
Step-by-step explanation:
we know that 1 lb=16oz
16 oz almonds = costs 8 dollars , we divide the cost to oz
8/16=0.5 dollars / oz
4.10/0.5=8.2 oz
for 4.10 dollars you buy 8.2 oz
Find a. brainliest!!
Answer:
what are you trying to find.How many degrees to z or y
Step-by-step explanation:
Please answer and show how you got them
Answer:
Point form:
1:
(1,2)
Equation form:
1, y = 2
2:
Point form:
(3,0)
Equation form:
x = 3,y,=0
Step-by-step explanation:
Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53
Answer:
Choice 3: AAS
Step-by-step explanation:
We can prove that by AAS that means we need two congruent angles and one congruent side.
The first angle will be the vertical pair <FBG and <DBC.
The second angle will be the alternate interior pair <G and <D.
The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].
I need help with this problem ASAP
Answer:
b
Step-by-step explanation:
2 - (7/8) - (3/4) i need help its hard :/
Answer:
0.375
Step-by-step explanation:
Answer:
The answer is 1 and 39/50Step-by-step explanation:
Hope this Helps! :)
Bill drove 240 miles in 4 hours. On another day, he drove 480 miles in 8 hours. What is the constant of proportionality?
Answer:
12
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
List the angles in order from smallest to largest 2.8 3.2 and 3
Answer:
2.8, 3, 3.2 jhgfdsdrftggggggbhjn
helppppppppppppppppppppppppp
answer is 150
pls give branliest
Answer: 72
Step-by-step explanation: A = ½(b 1 +b 2)h
help! please look at the picture, the answer is needed quick the explanation doesn't matter. Thanks!
Step-by-step explanation:
49
only the positive 49
hope this helps bro!!