Answer:
Height, h = 21 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99 ≈ 21 mm.
Therefore, the height of the cone is 21 millimeters.
While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-shaped to justify using the 68-95-99.7 rule. Suppose the distribution of calories in a Chipotle meal can be considered symmetric and mound-shaped with mean 1060 calories and standard deviation 291 calories.
Required:
a. What is the approximate percentage of the Chipotle meals that have more than 469 calories?
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?
Answer:
97.9% ; 12.4% ; 771
Step-by-step explanation:
The approximate percentage who have more Than 469 calories :
P(x > 469)
Mean, m = 1060
Standard deviation, s = 291
Z = (x - mean) / standard deviation
Z = (469 - 1060) / 291
Z = −2.030927
P(Z > - 2.031) = 1 - P(Z < - 2.031)
P(Z > - 2.031) = 1 - 0.0211
P(Z > - 2.031) = 0.9788 = 97.9%
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
[(1673 - 1060) / 291] - [(1372 - 1060) / 291]
P(Z <2.106) - P(Z < 1.072)
0.9824 - 0.85814
= 0.12426 = 12.4%
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal
The Zscore at 16 percentile = -0.994
Zscore = (score - mean) / standard deviation
-0.994 * 291 = score - 1060
−289.254 = score - 1060
Score = −289.254 + 1060
Score = 770.746
Approximately 771
_:7 = 24 : 56
A.2 B.3 C.4 D.5
Answer:
The answer is 3 : 7 .
Hope it helped
All the best !!
14x² - 21x³ + 49x⁴
ayudenme porfavor
no se
sólo lo hago esto para poder preguntar
ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1
Answer:
The answer is either 56.55in or 28.27
Step-by-step explanation:
This is the formula that I used
C=2πr
Circumference = 2·π·4.5 ≈ 28.27433 or
Circumference = 2·π·9 ≈ 56.54867
The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.
Hope that helps :)
The circumference of the circle will be 56.52 inches.
The circumference of a circle can be found using the formula:
Circumference = 2πr
Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.
If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:
Circumference = 2π(9 inches)
Circumference = 18π inches
We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:
Circumference ≈ 56.52 inches
Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.
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Joakim is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining cupcakes. The rest will get vanilla icing. How many cupcakes have vanilla icing?
Answer:
12 cupcakes have vanilla icing
Step-by-step explanation:
PLEASE HELP WITH THIS
Answer:
Step-by-step explanation:
A wedding photographer and their assistant work together to photograph weddings. The rates are shown in the advertisement.
$50 sitting fee
•plus $40 per hour for photographer's time
•plus $15 per hour for assistants time
Write an expression to represent the total cost for photography in a wedding in two different ways.
Answer:
50$+40$
40$+50$
Step-by-step explanation:
An expression to represent the total cost for photography in a wedding in two different ways are 50+40x+15y and 50+40p+15a.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, wedding photographer and their assistant work together to photograph weddings.
$50 is sitting fee, $50 sitting fee, $40 per hour for photographer's time and $15 per hour for assistants time.
Let the number of hours photographer spent be x and the number of hours assistants spent be y.
So, the total cost for photography
50+40x+15y
Let the number of hours photographer spent be p and the number of hours assistants spent be a.
50+40p+15a
Therefore, an expression to represent the total cost for photography in a wedding in two different ways are 50+40x+15y and 50+40p+15a.
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if the height and radius of a cylinder tank are equal and it's curved surface area is 308cm^2,find it's height
Let height be x, then radius is also x.
We know that,
C.S.A. = 2πrh
=> 308cm² = 2πxx
=> 308cm² = 2πx²
=> 308cm² = 2(22/7)x²
=> 308cm² = (44/7)x²
=> 308cm² × (7/44) = x²
=> 2156/44 cm² = x²
=> 49cm² = x²
=> √(49cm²) = x
=> 7cm = x
So, height and radius are 7cm each.
I think I got the answer but I need someone to help
Using distributive property write an expression using 6,7,5,&3 to equal 75
Answer:
(3*7-6)*5=75
(5+7)*6+3=75
Step-by-step explanation:
A submarine travels at an elevation of -75 3/4 ft relative to sea level. Then its elevation changes by -16 3/8 ft. What is the new elevation of the submarine? Show your work
Answer:
The new navigation height of the submarine is -62.25 feet.
Step-by-step explanation:
Given that a submarine travels at an elevation of -75 3/4 ft relative to sea level, and then its elevation changes by -16 3/8 ft, to determine what is the new elevation of the submarine the following calculation must be performed:
3/4 ft = 0.75 ft
-75 x 0.75 = -56.25 ft
3/8 ft = 0.375 ft
-16 x 0.375 = -6 ft
-56.25 + -6 = -62.25
Thus, the new navigation height of the submarine is -62.25 feet.
If a pinhead is about 2.5 millimeters in diameter, how much larger is the pinhead than
dust mite?
Answer:
2.2 - 2.3 millimeters
Step-by-step explanation:
Answer:
Do you know how big the dust mite is?
Step-by-step explanation:
Use the rule 2 + 3 to find the missing number on the table.
X Y
0 3
3 6
11
7 10
9 12
Answer:
14
Step-by-step explanation:
11 + 3 = 14
Hope it helps!
Thanks!
an arfican elephant weighs 6 tons what is the weight of the elephant in pounds? 2000 pounds = 1 ton
find the lenght of ab
Answer:
20.6 cm (im pretty sure lol)
Step-by-step explanation:
sine rule:
(ab = x)
13.5/sin41 = x/sin90
13.5sin90/sin41 = x
x = 20.57741667
ab = 20.6cm
Calcular la energía cinética de un coche de masa 1500 Kg que circula con una velocidad de 90 km/h.
Answer:
468750 esta es la energia cinética
Need help please i got 200 point in the bag yeart
Last week Jordan had 12 marbles . This week he has 21 marbles what is the percentage of increase in the number of marbles Jordan has
Answer:
75%
Step-by-step explanation:
The number increase is 9. 9 is what percent of 12? 9 is 75% of 12
1. Which quadrilaterals always have opposite
angles that are congruent?
Parallelograms
Rectangles
Rhombi
Squares
Answer:
The quadrilaterals which have opposite angles congruent are parallelograms.
Hope it will help :)
The quadrilaterals always have opposite angles that are congruent should be parallelograms.
What are quadrilaterals?In terms of geometry, a quadrilateral should be represent the closed, two-dimensional shape that contain 4 straight sides. The polygon should contain the four vertices or corners.
So based on this, we can say that The quadrilaterals always have opposite angles that are congruent should be parallelograms.
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The second derivative of the function f is given by f" (x) = sin(x^2/8)-2 cos x. The function f has
many critical points, two of which are at x = 0 and x= 6.949. Which of the following statements is
true?
The answer choice which is true about the function f as described in the task content is; Choice D; f has a local maximum at x=0 and at x=6.949.
Which answer choice represents a true statement about function f?Since the equation which represents the second derivative of the function f is given; we have that;
By evaluating f'' (x) at each of the given values of x; we have that;
f'' (0) = sin ( 0² / 8 ) - 2 cos (0) = 0 - 2 (1) = -2
f'' (6.949) = sin ( 6.949² / 8 ) - 2 cos (6.949)
f'' (6.949) = -1.880.
On this note; since -1.880 < 0 and also, -2 < 0; it follows that the function f has a local maximum at x = 0 and x = 6.949.
Complete question includes answer choices;
a) f has a local minimum at x=0 and at x=6.949.
b) f has a local minimum at x=0 and a local maximum at x=6.949.
c) f has a local maximum at x=0 and a local minimum at x=6.949.
d) f has a local maximum at x=0 and at x=6.949.
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Shira's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.
Answer:
Part 1) Option B. y = 10x + 45
Part 2) The score is 95
Step-by-step explanation:
Linear equation that best describes the given model
Let
x ---> number of hours students spent studying
y ---> their score on the test
Looking at the line that was fit to the data to model the relationship
The slope is positive
The y-intercept is the point (0,45)
For x=1, y=55 ----> point (1,55)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the points (0,45) and (1,55)
Find the equation of the line in slope intercept form
we have
substitute
Part 2) Estimate the score for a student that spent 5 hours studying.
For x=5 hours
substitute in the linear equation and solve for y
Answer:
Part 1) Option B. y = 10x + 45
Part 2) The score is 95
Step-by-step explanation:
Find the surface area of the rectangular prism with a length of 3 cm, a width of 2 cm, and a height of 6 cm
A jacket was sold for $81 and was on sale for 10% off. What was the original price of the jacket before the sale?
Answer:
que no se hablar inglés o tu idioma por como hablé te ayudaria pero como no hablas español ps nd ps......bay
Which number is the same distance from 0 as −14?
Answer: 14
Step-by-step explanation:
0-14 is -14 0+14 is 14
The correct number which is the same distance from 0 as - 14 is,
⇒ d = 14
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
To find the same distance from 0 as −14.
Now, We can formulate;
The correct number which is the same distance from 0 as - 14 is,
⇒ d = | 0 - (- 14)|
⇒ d = 14
Thus, The correct number which is the same distance from 0 as - 14 is,
⇒ d = 14
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What is the answer to this?
Answer:
17
Step-by-step explanation:
85/5=17
I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. The events card is a heart and card is a club are
Answer:
The answer is "disjoint events".
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, the Disjointed events were not connected, throughout this, Some other approach to disorganized events was its lack of common outcomes. When it can come at the same time, two events are exclusive to each other. A whole term, that implies excluding each other is disjoined. If had some are united, the chance of them both happening on one is 0, throughout this question, both heart and club can't be cards at the very same time.
John plans a journey to visit his sister in Newcastle.
He wants to fill up the bottle for the windscreen washer before he starts the journey.
John mixes 1 part screen wash with 5 parts water.
He uses 125 ml of screen wash.
(a) How much water should John use?
Step-by-step explanation:
For the series-parallel network: a. Find the current I. b. Find the currents /3 and 19.
The hikers could only hope that they would soon be
(52)
The drone of a helicopter's engines on 8 February 2018 must have been music to the
(53)
of Mr Dominick Tan and Ms Lum Jie. The rescue of the duo ended a search-and-rescue
(54)
that started on the evening of 5 February 2018. It
of a team of 90 police officers, park
(55)
rangers, firefighters and volunteers.
Answer:
(52) rescued.
(53) ears
(54) mission
(55) consisted
Step-by-step explanation:
Congruent or not congruent?
Answer:
Congruent
Step-by-step explanation:
Hope that helps!
plz help i have 3 mins it for 25 points
Answer:
c: 38 cm
Step-by-step explanation:
I hope it's not too late
Answer:
The area is 32cm
Step-by-step explanation:
Area = length x width
Area = 4 x 8 = 32