Answer:
[tex]\frac{27\pi }{2}[/tex] square inches.
Step-by-step explanation:
The pizza would have a circular shape so that dividing it into 6 slices implies that there are 6 sectors.
The central angle formed by each sliced pizza = [tex]\frac{360}{6}[/tex]
= [tex]60^{o}[/tex]
Given that the diameter = 18 inches, thus;
radius = [tex]\frac{18}{2}[/tex]
= 9.0 inches
Since the sliced pizza now has the shape of a sector, then;
the surface area of each large pizza = (θ/360)* [tex]\pi[/tex][tex]r^{2}[/tex]
= [tex]\frac{60}{360}[/tex]*[tex]\pi[/tex]*[tex](9)^{2}[/tex]
= [tex]\frac{1}{6}[/tex]*[tex]\pi[/tex]*81
= 13.5[tex]\pi[/tex] square inches
Surface area of each large pizza = [tex]\frac{27\pi }{2}[/tex] square inches
The surface are of one slice of the large pizza is [tex]\frac{27\pi }{2}[/tex] square inches.
In an all boys school, the height of the student body are normally distributed with a mean of 69 inches and a standard deviation of 5 inches. using the empirical rule, what percentage of the boys are between 54 and 84 inches tall?
Answer:
99.7% of the boys are between 54 and 84 inches tall.
Step-by-step explanation:
The heights 54 and 84 inches are 3 standard deviations away from the mean. Thus, 99.7% of the boys are between 54 and 84 inches tall.
The percentage of the boys are between 54 and 84 inches tall is 99.7%
What is percentage?
Percentage a relative value indicating hundredth parts of any quantity.
What is empirical rule?
The empirical rule or the three-sigma rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.
The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
From question mean(μ) = 69 in. and standard deviation(σ)= 5 in.
(µ ± σ) = (69 ± 5)
=64 - 74
=68%
(µ ± 2σ) =(69 ± 10)
=59 -79
=95%
(µ ± 3σ) =(69 ± 15)
=54 -84
= 99.7%
Thus the percentage of the boys are between 54 and 84 inches tall is 99.7%
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answer this asap pls no wrong answers
PLSSS I NEED HELP i will give you 50 points
Answer:
131.2
Step-by-step explanation:
x/55=31/14
x=31/13*55
x=131.153846154
Please help or explain what I should do to get an answer please and thank you
the first one is 4x + 12
the second one is -28 + 7y
What is the area of the circle of the XY = 17 in?
A. 72.52pi in^2
B. 36.75pi in^2
C. 17pi in^2
D. 8.5pi in^2
Your answer would be A because the radius of the circle is half of its diameter.
Hope this helps <3 :)
2x-1/3+3=x-3/5
pls do make sure to answer this *only if you know*
thank you
Answer:
[tex] x = - 3 \frac{4}{15}[/tex]
Step-by-step explanation:
[tex]2x - \frac{1}{3} + 3 = x - \frac{3}{5} [/tex]
[tex] = > 2x - \frac{ 1 +9 }{3} = x - \frac{3}{5} [/tex]
[tex] = > 2x + \frac{8}{3} = x - \frac{3}{5} [/tex]
[tex] = > 2x - x = - \frac{3}{5} - \frac{8}{3} [/tex]
[tex] = > x = - \frac{9 - 40}{15} [/tex]
[tex] = > x = - \frac{49}{15} [/tex]
[tex] = > x = - 3 \frac{4}{15} (ans)[/tex]
Answer:
x = - [tex]\frac{49}{15}[/tex]
Step-by-step explanation:
Given
2x - [tex]\frac{1}{3}[/tex] + 3 = x - [tex]\frac{3}{5}[/tex]
Multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions
30x - 5 + 45 = 15x - 9 , that is
30x + 40 = 15x - 9 ( subtract 15x from both sides )
15x + 40 = - 9 ( subtract 40 from both sides )
15x = - 49 ( divide both sides by 15 )
x = - [tex]\frac{49}{15}[/tex]
A student got 85% on a math test with 40 problems. How many did the student get correct?
Answer:
The student got 34 of the 40 questions correct.
Step-by-step explanation:
85% of 40 is 34.
Hope this helps! :)
I would appreciate brainliest, if not that's okay!
Answer:
47 correct answers
Step-by-step explanation:
BRAIN!!!!PLEASE HELP THIS IS MY LAST QUESTION OF THE DAY!!
Answer:
Attached file
Step-by-step explanation:
The equation for continuous compounding is [tex]A=A_oe^k^t[/tex]
where [tex]A[/tex] is the final amount, [tex]A_o=[/tex] the initial amount, [tex]k=[/tex] the interest rate, and [tex]t =[/tex] how much time is affecting it.
The equation for compound interest is [tex]A=A_o(1+\frac{r}{n} )^n^t[/tex]
where [tex]A=[/tex] the final amount, [tex]A_o=[/tex] the initial amount, [tex]r=[/tex] the interest rate, [tex]n =[/tex] the number of times the interest is applied per period (usually per year), [tex]t =[/tex] how many time periods elapsed (usually how many years the interest is applied).
Therefore you must set up all the equations with their respective units. If something is decaying, it will have a negative rate or a rate < 1. If something is growing, it will have a positive rate or a rate > 1.
A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one head
Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
Jordan fills several bags with oranges. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a fraction in simplest form by filling in the boxes.
lb
Answer:
2 1/2
Step-by-step explanation:
The heaviest bag weighs 4 pounds, and the lightest bag weighs 1 1/2.
4 can be converted to 8/2 and 1 1/2 can be converted to 3/2.
8/2-3/2=5/2.
5/2 converts to 2 and 1/2 or 2.5
The heaviest bags weigh than one of the lightest bags by 2.5 pounds.
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
The heaviest bag weighs 4 pounds,
and the lightest one weighs 3/2 pounds
The difference between the heaviest and lightest one is:
= 4-3/2
= 8/2-3/2
=5/2 pounds
= 2.5 pounds
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What is the median of the data set?
x
x x x x
x x x x x x x
↔0↔1↔2↔3↔4↔5↔6↔7↔8↔9↔10↔11↔12↔13↔14
Answer:aw ehtI Belive its 7 i could be wrong though
Step-by-step explanation:
the way you would solve this is u would arange the numbers like small to greatest then count how many there are and there happends to be 15 then you find the middle.
HOPE THIS HELPS
Which of these systems of linear equations has no solution?
A
y = 3x + 8
y = 3x + 16
B
y = 3x + 16
y = 6x + 16
C
y = 3x + 8
y = 6x + 16
D
y = 3x + 8
y = 8x + 16
hurry please
Answer:
A is correct
Step-by-step explanation:
A has no solution because since the slopes are the same, setting both equations equal to each other will cancel out the slopes and result in 8=16, meaning no solution will make both sides equal to each other.
B does have a solution because of different slopes
C does have a solution because of different slopes
D does have a solution because of different slopes
Help me! :) 12 points!
Answer:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Step-by-step explanation:
Vertical angles are diagonally across for each other and equal the same angle. You would get a better explanation if you looked up pictures.
Linear angles are two angles on a straight line that are divided by another line. Again, you would get a better explanation by looking at a visual
Congruent angles are equal to each other, and because there are no angle measures here, you would go with a vertical angle pair.
Answer:
Step-by-step explanation:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Solve for the values of z
z(z-6)=0
Answer:
D. z=6
Step-by-step explanation:
Which operation would you use to solve for x in the equation 3x = 15?
O Addition
O Division
O Squaring
O Subtraction
Answer:
division
Step-by-step explanation:
you need to get the x by its self because right now x is being multiplied by 3 tou divide it out
Answer:
Division
Step-by-step explanation:
you will divide both sides by 3..“the number that is disturbing x”
Quickly! Find the distance
reposttttttt
Calculate the volume of a prism with a length of 7/8ft, width 2/3 ft and height 1/2 ft. BE SURE TO EXPLAIN ALL STEPS
Answer:
14/48 Feet
Step-by-step explanation:
First, you multiply 7/8x2/3 which equals 14/24, which makes the base of the prisim 14/24 feet. Then you need to multiply 14/24 ( the base) by 1/2 (the height). 14/24x1/2= 14/48.
The final answer is 14/48.
Find the value of x.
Answer:
x = 62°
Step-by-step explanation:
the top-most angle in the top isosceles triangle must be 73° also
the third angle of the top isosceles triangle is (180 - 73 + 73) which is 34°
the left portion of the right angle must be 56°
you can find by using this equation: x + x + 56 = 180
2x = 124
x = 62
The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equivalent to 5/7 . What is the original fraction? heeeeeeelp!!!
Answer:
5/9
Step-by-step explanation:
Let the denominator be k and thus numerator be 4 less than k or k - 4.
Fraction = (k - 4)/k
If 5 is added to both:
=> (k-4 + 5)/(k + 5) = 5/7
=> 7(k + 1) = 5(k + 5)
=> 7k + 7 = 5k + 25
=> 2k = 18
=> k = 9
Thus,
Fraction is (k-4)/k = (9-4)/9 = 5/9
plz help i give brainliest
Answer:
x = 6
Step-by-step explanation:
Tip: You want to isolate the x-variable on one side of the equation to find its value.
1) First, get rid of the radical signs on both sides of the equation by squaring both sides. This should leave you with 5x-7 = 3x+5.
2) Get the x-variables on one side by subtracting 3x from both sides, so the equation should be 2x-7=5.
3) Solve for x by adding 7 to both sides, so that your equation looks like this: 2x = 12.
4) Divide both sides by 2 and you will get x = 6. You can verify 6 as the x-value by plugging 6 back into the original equation.
I hope that helps! :)
Answer:
x=6
Step-by-step explanation:
What is the probability of people choosing ice cream or soda? Write your answer as a decimal. 30points Only if you get it right
Answer 50% or .5 there are 2 things
4x − 5 + x = 3 + 2x + 4 what is the value of x?
Answer:
x=4
Step-by-step explanation:
4x-5+x=3+2x+4
5x-5=7+2x
5x-2x=7+5
3x=12
x=4
Find the area of triangle ABC and the area of XYZ. AABC - AXYZ.
Answer:
ABC= 60 XYZ=540
Step-by-step explanation:
The area of a triangle is 1/2*base*height so for ABC we need to find the height first. To do this we use pythag theorem, and create the equation 13^2=5^2+height^2 rearranging this we can figure out that sqrt(height)=13^2-5^2. For the base we do 2*5 since there are two congruent line segments both equal to 5. Using this we can do 1/2*12*10=area of ABC
For XYZ we can do 1/2*30*36=area of XYZ, we can do 2*15 since there are 2 congruent 15 length line segments at the base.
Find the mean among these numbers: 22, 20, 25, 19, 20
Answer:
17.6
Step-by-step explanation:
If you add all of the digets up you get: 86
86 divided by the quanity of numbers is: 17.6
what is the center of the circle: (x+3)^2+y^2=16 ?
Answer:
the answer is (-3,0) or 4
Step-by-step explanation:
the area of a rectangle is the same as the area of a square of side 12cm .if the rectangle is 16 long find its width.
Answer:
width = 9 cm
Step-by-step explanation:
the area of a 12cm square is 144
16w = 144
x = 9
What is the common ratio of the sequence?
-2, 6, -18, 54,...
a. −3
b. −2
c. 3
d. 8
Answer:
common ratio=t2/t1
=6/(-2)
=-3
Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he needs to sell, x, to make at least $220 in one
week
Select all the inequalities that represent the situation
HELLPPPPP
Answer:
Steve needs to sell 34 items.
Step-by-step explanation:
S= 5x+50
220=5x+50
-50 -50
170= 5x
/5 /5
34 = x
Check:
220= 5(34)+50
220=170+50
220=220
A scoop used to measure
powdered drink mix is in
the shape of a cone with a
radius of 5 cm
What is the height of the scoop if its volume is 75pi cm cube
Answer:
9
Step-by-step explanation:
V=pi (r squared) (h/3)
75pi = 25pi (h/3)
Divide both sides by 25 pi
3= h/3
Multiply both sides by 3
h=9
Solve for x. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 54x+64 49x + 59
Answer:
x=-1
Step-by-step explanation:
54x+64=49x+59
subtract 64
54x=49x-5
subtract 49x
5x=-5
divide by 5
x=-1