Answer:
Does it say how many peices the pizza has? (if not then 1/6 ^^)
3. A data set that consists of 50 numbers has a minimum value of 16 and a maximum value of 74. Determine the class boundaries using the 2k >n rule if the data are a. Discrete b. Continuous3. A data set that consists of 50 numbers has a minimum value of 16 and a maximum value of 74. Determine the class boundaries using the 2k >n rule if the data are a. Discrete b. Continuous
Answer:
discrete, the class boundaries are;
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 = 75
continuous, the class boundaries are;
16 to less than 26
26 to less than 36
36 to less than 46
46 to less than 56
56 to less than 66
66 to less than 76
Step-by-step explanation:
Given that;
Range of the dataset = maximum value - minimum value = 74 - 16 = 58
total number of data set n = 50
Rule : [tex]2^{k}[/tex] ≥ n
substitute value of n
[tex]2^{k}[/tex] ≥ 50
k × log(2) = log( 50 )
k × 0.3010 = 1.69897
k = 1.69897 / 0.3010
k = 5.64
Hence, we have a total of 6 number of classes needed to be constructed.
so,
class width = 74 - 16 / 6 = 58 / 6 = 9.67
If the Data is discrete, the class boundaries are;
16 - 25
26 - 35
36 - 45
46 - 55
56 - 65
66 = 75
If the Data is continuous, the class boundaries are;
16 to less than 26
26 to less than 36
36 to less than 46
46 to less than 56
56 to less than 66
66 to less than 76
A triangle has vertices at (-2,-3),(4, -3), and (3,5). What is the area of the triangle?
Answer:
this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)
=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]
using Heron theorem, we have:
[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]
with S is the area of the triangle
[tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]
Step-by-step explanation:
Area of the triangle with given vertices is equals to 24 square units.
What is Area?"Area is the surface which represents the total space occupied by any two dimensional object."
What is triangle?"Triangle is a polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."
Formula used
In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)
Area of a triangle = [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]
According to the question,
Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)
Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]
= [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]
= 24 square units
Hence Area of the triangle with given vertices is equals to 24 square units.
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Please help will give a 100 points
Answer:
The answers are 0 and -1
Step-by-step explanation:
Answer:
0 and -1
Step-by-step explanation:
Riley used the distributive property to find the product of 37 and 24. Which expression could Riley have used to find the product of the two numbers?
20(30)+7
37(20)+4
24(30+7)
30(24+7)
Answer:
Step-by-step explanation:
The second one
Answer:
distributive property
Step-by-step explanation:
u should be use the 2nd one...
37(20)+7
A trapezoid was broken into a rectangle and two equal
triangles.
The base of each triangle bis
m.
The area of the rectangle is
The area of each triangle is
m2
m2.
m2.
The area of the trapezoid is
Please help
Step-by-step explanation:
For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.
[tex]5m - 1m = 4m \\ \frac{4m}{2} = 2m \: each[/tex]
For the area of the rectangle:
[tex]base \times height = 1m \times 4m = 4 {m}^{2} [/tex]
For the area of each triangle:
[tex] \frac{1}{2} base \times height = \frac{1}{2} (2m)(4m) = 4m^{2} [/tex]
For the area of the trapezoid, just combine the two areas:
4m² + 4m² = 8m²
Answer:
For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.
For the area of the rectangle:
Step-by-step explanation:
For the area of each triangle:
For the area of the trapezoid, just combine the two areas:
4m² + 4m² = 8m²
At a carnival, the probability that you chose a winning rubber duck from 25 ducks is 0.20.
How many are not winning ducks?
The game is formed such that a duck is either winning duck or a non winning duck .
there is no other result for any duck present in the game .
Also choosing a duck is a fair game it is independent of any prior situation .
here we would be using a basic probability formula , that is
Probability of a result = number of items in favour of that result divide by total number of items present in the game .
for item 6 which pair of words is the odd one out
Answer:
A odd # is 3.5.7 and etc such that you have odd numbers
What is the inverse of 2x^2
Answer:Interchange the variables.
x
=
2
y
+
2
Solve for
y
.
Tap for more steps...
y
=
x
2
−
1
Solve for
y
and replace with
f
−
1
(
x
)
.
Tap for more steps...
f
−
1
(
x
)
=
x
2
−
1
Step-by-step explanation:
Factor the quadratic equation 0=15x squared + 39 x-18
Answer:
The factors of given quadratic equation
[tex]x = \frac{9}{15} and x = -2[/tex]
Step-by-step explanation:
Explanation:-
Given quadratic equation 15x² +39 x -18 =0
The factors of 270 = 30 × 9
The quadratic equation 15x² +39 x -18 =0
⇒ 15 x² +30 x-9x -18=0
⇒ 15x(x+2) -9( x+2) =0
⇒( 15x -9)(x+2) = 0
15x - 9=0 and x+2 =0
15 x =9 and x = -2
[tex]x = \frac{9}{15} and x = -2[/tex]
What is the purpose of school?(give as much reasons as possible)
Answer:
to torture people
Step-by-step explanation:
but real anwser is to help children learn more about their ecosystem and to give more knowledge and learn new things
Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X
Step-by-step explanation:
a^2 + b^2 = c^2
a = 6
b = x
c = 11
6^2 + b^2 = 11^2
36 + b^2 = 121
b^2 = 121 - 36
b^2 = 85
Find the square root of both sides.
b = 9.22
There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?
$0.09
$0.31
$1.05
$1.46
$10.99
You are traveling at 75 km/hr to make it to school on time. You have to be at school in .25 hour or you will be late. You have 15 km to travel. Will you make it to school on time?
Answer:
Yes
Step-by-step explanation:
.25 hour = 1/4 hour
75 * 1/4 = 18 3/4
You travel 18 3/4km in 1/4 hr(.25 hr).
What is the inverse of -1/2x+5
how many cells are in the human body
Answer:
There should be 37.2 trillion, however this is not a finite number and there might be more or less depending on the person.
Step-by-step explanation:
The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to
Answer:
10 ; 3.464 ; 2.4 ; (7.6, 12.4)
Step-by-step explanation:
Given the data :
10, 8, 12, 15, 13, 11, 6, 5
Point estimate of population mean :
m = ΣX / n
n = sample size = 8
(10+8+12+15+13+11+6+5) / 8
= 10
Point estimate of population standard deviation :
Sqrt(Σ(X - m)^2 / n-1)
((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7
= sqrt(84/7)
= 3.464
Margin of error at 95%:
Zcritical * sqrt(sd²/n)
Zcritical at 95% = 1.96
1.96 * sqrt(3.464^2 / 8)
Margin of Error = 2.4
Confidence interval :
m ± Z(s/sqrt(n))
10 - 1.96(3.4634/sqrt(8)) = 7.6
10 - 1.96(3.4634/sqrt(8)) = 12.4
The bakers at Healthy Bakery can make 310 bagels in 2 hours. How many
bagels can they bake in 20 hours? What was that rate per hour?
Answer:
The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.
Step-by-step explanation:
Given;
number of bagels in 2 hours = 310 bagels
The rate per hour is calculated as;
[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]
In 20 hours, the number of bagels made is calculated as;
Number of bagels = 155 (bagels/hour) x 20 (hour)
= 3100 bagels.
Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.
A box of candy is shaped like a triangular pyramid the volume of the candy box measures 120 in squared 3 the area of the base of the candy box is 18 in squared 2 what is the height of the candy box
Answer:
i think the Hight would be 60
Step-by-step explanation:
Share 56 sweets in the ratio 2 : 5.
56 sweets can be shared in the ratio 2 : 5 as 16 sweets and 40 sweets.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Share 56 sweets in the ratio 2 : 5.
First share is = (2/2+ 5)×56.
= (2/7)×56.
= 16.
And the second share is (5/2 + 5)×56.
= (5/7)×56.
= 40.
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Which of the following situations are equal to 20%?
Select all that apply.
A) 5 out of 25
B) 8 out of 40
C) 2 out of 8
D) 16 out of 80
E) 12 out of 24
Answer:
A and B
Step-by-step explanation:
you divide 5 and 25
like this 5/25 and then multiply by 100
For B you do the same thing but is 8/40 and then you multiply by 100
Solve the formula 2x+3y=12 for y
Answer:
y=4−2x/3
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.
On an airplane flight, Steve watch the display that showed the number of minutes since the flight to cough and the number of miles away from the destination. He recorded various points and fit the line why equals 2426-8x To the data, Where x is The number of minutes flying and why is the number Have miles from the Have miles from the destination. According to the model, how far was Steve from his destination after 120 minutes of flying?destination A. 960 miles B. 2410 mikes C. 1466 !miles D. 3386 miles
Answer:
3386 miles was her destination......
Mrs. Nez owns a small business. When her customers pay with
a credit card, she receives 95.8% of the charged amount from
the credit card company. If a customer makes a $20 purchase,
how much will Mrs. Nez receive from the credit card company?
Answer:
the amount received from the credit card company is $19.16
Step-by-step explanation:
The computation of the amount received from the credit card company is shown below:
= Purchase made by the customer × received percentage
= $20 × 95.8%
= $19.16
Hence, the amount received from the credit card company is $19.16
The same is to be considered and relevant too
y=-1/4x+3
y=-3/2x-2
Answer:
x = -4
y = 4
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Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS
Answer:
691,255(0.985)t ≤ 621,859; t ≥ 7
Step-by-step explanation:
i just did it. it was C
Answer:
Yes it is corect,
C
Step-by-step explanation:
What is the value of the expression below when w=2 8w2+2w+8
Answer:
44?? maybe
Step-by-step explanation:
what is the P.O.I for 5.2x-y=4 1/2x+y=1
Answer:
X = 4/13
Y = - 5/13
Step-by-step explanation:
Since all of the equalities are true, the ordered pair is the solution of the system
Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3
Rational equations intro (Khan Academy)
Answer:
y = 17/7
Step-by-step explanation:
Use the information and diagram to answer the following question.
An airplane makes a 20° angle of elevation from the runway when it takes off.
The airplane shown is 2.500 feet along the ground from its take-off point.
Take-off point
20
2500 ft
Note: The figure is not drawn to scale.
At what height, h, is the airplane? Round the answer to the nearest foot. Show
your work.
Answer:
910 ft
Step-by-step explanation:
This question sets up the equation tan20°=x/2,500. Solve for X by multiplying 2,500 on both sides giving you x = 2,500tan20°. Finally, plug that in a calculator and you get 909.92. Round it to the nearest foot and you get 910
The required height where the plane is given as 910 ft, as of the given condition.
Given that,
An airplane makes a 20° angle of elevation from the runway when it takes off. The airplane shown is 2500 feet along the ground from its take-off point.
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
here,
base length = 2500
Angle of inclination = 20°
let the perpendicular height = h
Now,
tan20° = h / base
h = 2500 [tan20°]
h = 910 ft
Thus, the required height where the plane is given as 910 ft, as of the given condition.
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