Answer:
9.6
Step-by-step explanation:
60 pounds of pressure is needed to break a 5-foot-long board,
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Richard uses 24 pounds of pressure to break a 2-foot-long board.
How many pounds of pressure is needed to break a 5-foot-long board,
we have to find.
i.e. 24/2 * 5
=12*5
=60
hence, 60 pounds of pressure is needed to break a 5-foot-long board,
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At one point the average price of regular unleaded gasoline was $3.39 per gallon. Assume that the standard deviation price per gallon is $ per gallon and use Chebyshev's inequality to answer the following. (a) What percentage of gasoline stations had prices within standard deviations of the mean? (b) What percentage of gasoline stations had prices within standard deviations of the mean? What are the gasoline prices that are within standard deviations of the mean? (c) What is the minimum percentage of gasoline stations that had prices between $ and $?
This question was not written completely
Complete Question
At one point the average price of regular unleaded gasoline was $3.39 per gallon. Assume that the standard deviation price per gallon is $0.07 per gallon and use Chebyshev's inequality to answer the following.
(a) What percentage of gasoline stations had prices within 3 standard deviations of the mean?
(b) What percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean?
(c) What is the minimum percentage of gasoline stations that had prices between $3.11 and $3.67?
Answer:
a) 88.89% lies with 3 standard deviations of the mean
b) i) 84% lies within 2.5 standard deviations of the mean
ii) the gasoline prices that are within 2.5 standard deviations of the mean is $3.215 and $3.565
c) 93.75%
Step-by-step explanation:
Chebyshev's theorem is shown below.
1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.
As stated, the value of k must be greater than 1.
2) At least 75% or 3/4 of the data for a set of numbers lies within 2 standard deviations of the mean. The number could be greater.μ - 2σ and μ + 2σ.
3) At least 88.89% or 8/9 of a data set lies within 3 standard deviations of the mean.μ - 3σ and μ + 3σ.
4) At least 93.75% of a data set lies within 4 standard deviations of the mean.μ - 4σ and μ + 4σ.
(a) What percentage of gasoline stations had prices within 3 standard deviations of the mean?
We solve using the first rule of the theorem
1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.
As stated, the value of k must be greater than 1.
Hence, k = 3
1 - 1/k²
= 1 - 1/3²
= 1 - 1/9
= 9 - 1/ 9
= 8/9
Therefore, the percentage of gasoline stations had prices within 3 standard deviations of the mean is 88.89%
(b) What percentage of gasoline stations had prices within 2.5 standard deviations of the mean?
We solve using the first rule of the theorem
1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.
As stated, the value of k must be greater than 1.
Hence, k = 3
1 - 1/k²
= 1 - 1/2.5²
= 1 - 1/6.25
= 6.25 - 1/ 6.25
= 5.25/6.25
We convert to percentage
= 5.25/6.25 × 100%
= 0.84 × 100%
= 84 %
Therefore, the percentage of gasoline stations had prices within 2.5 standard deviations of the mean is 84%
What are the gasoline prices that are within 2.5 standard deviations of the mean?
We have from the question, the mean =$3.39
Standard deviation = 0.07
μ - 2.5σ
$3.39 - 2.5 × 0.07
= $3.215
μ + 2.5σ
$3.39 + 2.5 × 0.07
= $3.565
Therefore, the gasoline prices that are within 2.5 standard deviations of the mean is $3.215 and $3.565
(c) What is the minimum percentage of gasoline stations that had prices between $3.11 and $3.67?
the mean =$3.39
Standard deviation = 0.07
Applying the 2nd rule
2) At least 75% or 3/4 of the data for a set of numbers lies within 2 standard deviations of the mean. The number could be greater.μ - 2σ and μ + 2σ.
the mean =$3.39
Standard deviation = 0.07
μ - 2σ and μ + 2σ.
$3.39 - 2 × 0.07 = $3.25
$3.39 + 2× 0.07 = $3.53
Applying the third rule
3) At least 88.89% or 8/9 of a data set lies within 3 standard deviations of the mean.μ - 3σ and μ + 3σ.
$3.39 - 3 × 0.07 = $3.18
$3.39 + 3 × 0.07 = $3.6
Applying the 4th rule
4) At least 93.75% of a data set lies within 4 standard deviations of the mean.μ - 4σ and μ + 4σ.
$3.39 - 4 × 0.07 = $3.11
$3.39 + 4 × 0.07 = $3.67
Therefore, from the above calculation we can see that the minimum percentage of gasoline stations that had prices between $3.11 and $3.67 corresponds to at least 93.75% of a data set because it lies within 4 standard deviations of the mean.
please
Find the surface area of the prism.
How do you solve 4x - 18 < -x -3
Answer:
x<3
Step-by-step explanation:
--add 18--
[tex]4x-18+18<-x-3+18[/tex]
--simpifly--
[tex]4x<-x+15[/tex]
--add x--
[tex]4x+x<-x+15+x[/tex]
--simpifly--
[tex]5x<15[/tex]
--divide both side by 15--
x<3
sorry for late
<3
Red
It cost $20 to park at the concert hall plus concert tickets are $60 each. How much will 6 tickets cost with parking one vehicle the. What would be the independent and dependent variables please
Able has a younger sister and an older brother. - Able’s age can be represented by x. - Able’s sister is 4 years younger than him. - Able’s older brother is twice as old as he is. - The combined age of all three siblings is 32. How old is Able’s younger sister?
Answer:
5 years old
Step-by-step explanation:
Able has a younger sister and an older brother.
Able’s age can be represented by x.
Able’s sister (s) is 4 years younger than him. This can be represented as:
s = x - 4 [1]
Able’s older brother (b) is twice as old as he is. This can be represented as:
b = 2x [2]
The combined age of all three siblings is 32. This can be represented as:
x + s + b = 32 [3]
If we replace [1] and [2] in [3], we get:
x + (x - 4) + 2x = 32
4x = 36
x = 9
The age of Able's younger sister is:
s = x - 4 = 9 - 4 = 5
fiind the value of x between 0 and 360
for question 5sin 2x=7cos2x
Answer:
x=pi*n/2+1/2arctan(7/5)
Step-by-step explanation:
5sin(2x)=7cos(2x)
5tan(2x)=7/5
2x=pi*n+arctan(7/5)
x=pi*n/2+1/2arctan(7/5) for n e Z
What is the correct answer on identify the error(s) in the proposed proof?
Answer:
correct i think
Step-by-step explanation:
What is the slope, y-intercept, and x-intercept of (7,-6) and (10,9)
Answer:
Slope: 5
X Intercept: (8.2,0)
Y Intercept: (0, -41)
Step-by-step explanation:
Slope:
y2-y1/x2-x1=9-(-6)/10-7=9+6/10-7=15/3=5
y=5x-41 - the slope intercept form
X Intercept:
if y=0
0=5x-41
+41 +41
41=5x
8.2=x
(8.2,0)
Y Intercept:
if x=0
y=-41
(0,-41)
hope this helps
brainliest?
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
how do you estimate 17 1/5 divided by 3 4/5
Answer:
5
Step-by-step explanation:
Please help ASAP HELP!
Answer:
Step-by-step explanation:
You equal both angles to each other and solve. You should get x=5, the you plug in x giving you 44 for both angles and 88 for ABC
A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
sorry if it appears messy!!!
Step-by-step explanation:
HELP!! HOWDO I SOLVE THIS??
Answer:
35 degrees
Step-by-step explanation:
a triangles angles add up to 180 degrees
if 4 is 35 degrees then what is 3
90 - 35 = 55
1 = 90
90 + 55 = 145
180 - 145 = 35
2 = 35 degrees
try math it helps alott
A researcher is exploring the notion that there is an economy of scale in raising children. While having one child might add to a family's financial stress, the second or third one might not be as "expensive" since they would already be sharing one roof, could share clothing, etc. The researcher has access to a large community of parents where 15% have one child under 18 in their home, 65% of parents have two children, and 20% of parents have three or more children. Rounded to the nearest whole number, the probability that any given family who is selected has two or more children at home is ________ %?
Answer:
The probability is [tex]G = 85% [/tex]
Step-by-step explanation:
From the question we are told that
The percentage of parents that have one child under 18 in their homes is k = 15%
The percentage of parents that have two children is T = 65%
The percentage of parents that have three or more children is Y = 20%
Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as
[tex]G = T + Y[/tex]
=> [tex]G = 65% + 20% [/tex]
=> [tex]G = 85% [/tex]
plz help me with this problem I'm pretty confused.
Answer:
m∠1 = 40°
Step-by-step explanation:
Measures of angle 1 and angle 2 are examples alternate exterior angles. Alternate exterior angles are basically a pair of angles that are outside the parallel lines and are on opposite sides of the transversal. In other words, alternate exterior angles are congruent to each other.
Since we are given that measure of angle 2 is 40°. Measure of angle 1 has to be 40° because both angle 1 and angle 2 are alternate exterior angles.
What is the product?
(x4)(3x2 - 2) (4x2 + 5x)?
Answer:
1 Remove parentheses.
{x}^{4}(3{x}^{2}-2)(4{x}^{2}+5x)x
4
(3x
2
−2)(4x
2
+5x)
2 Expand by distributing terms.
(3{x}^{6}-2{x}^{4})(4{x}^{2}+5x)(3x
6
−2x
4
)(4x
2
+5x)
3 Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
12{x}^{8}+15{x}^{7}-8{x}^{6}-10{x}^{5}12x
8
+15x
7
−8x
6
−10x
5
2. The set of whole number from 1 to 20
Set C = all the even numbers
Set D = all the multiples of 4
Answer:
c:2,4,6,8,10,12,14,16,18,20
Step-by-step explanation:
set d:4,8,13,15,20
You’re starting a lemonade stand in front of your house. You’ve already obtained a permit from City Hall in order to do so. For your stand, your neighbor agrees to let you use his nice large table for $5 per day (this cost is known as fixed cost because it will not change whether you sell one cup or 100 cups of lemonade). Your parents give you full access to the fridge’s filtered water but require you to take care of the cost of the other ingredients and expenses that go into making your final product. After a day or two of starting your business, you determine that the cost of paper cups, sugar and fresh lemon juice is $0.32 per cup (this cost is known as variable cost because it changes according to the number of cups you sell).
Answer:
Ok. Interesting.
Step-by-step explanation:
I think you forgot the question.
Brainliest appreciated!
PLEASE HELP MEE!!!
If the total distance of Claire and Grace’s javelin throw is greater than 82.5 feet, then the seventh graders earn 50 points. If not, the eighth graders earn 50 points. Which grade should be awarded 50 points?
Answer:
eighth graders
Step-by-step explanation:
Answer:eighth
Step-by-step explanation:
Luisa wants to use place-value blocks to show 367+215. How many tens blocks will she need to show the sum by regrouping?
Answer:
She will need 58 tens blocks but there is a leftover amount of 2 so that would be 2 ones as well.
Step-by-step explanation:
357+215=582/10=58.2 (2 is the remander and thats how I got 2 ones as well)
does anybody understand triangle angle theorems??
Answer:
It means that states that the three interior angles of any triangle add up to 180 degrees.
Have A Nice DAY!!!!!!
:-)
What is five to the second power in expanded form and standard
Step-by-step explanation:
Answer:
5x5 and 5^2
Step-by-step explanation:
hope this helps.
What is the conjugate and modulus of 2 – 6i?
Answer:
2 + 6i
Step-by-step explanation:
It’s the same numbers with an opposite sign
The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]
The conjugate of a complex number a + bi is a - bi. The conjugate is gotten by changing the sign of the imaginary part of the complex number.
The modulus of a complex number a + bi is:
|a + bi| = [tex]\sqrt{a^2+b^2}[/tex]
The conjugate and modulus of 2 – 6i is:
Conjugate of 2 - 6i = 2 + 6i
|2 - 6i| = [tex]\sqrt{2^2+(-6)^2}=\sqrt{40}[/tex]
The conjugate of 2 – 6i is 2 + 6i and the modulus is [tex]\sqrt{40}[/tex]
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Which is the best approximate solution of the system of linear equations y=1.5x -1 and y=1
Answer:
(1 1/3, 1)
Step-by-step explanation:
1.5x-1=1
1.5x=2
x=1 1/3
y=1
(1 1/3, 1)
What is 8/9 - 1/18?
Thank you.
:)
Answer:
0.83 but draw a repeating bar over the 3
Step-by-step explanation:
In Mr.Vargas 7th periodClass 12 out of 32 students received a failing grade what is the percentage of the students who passed
Answer: 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:32-12=20
20+12=32
What’s 0.83 answer when the 3 keeps repeating
Answer:
A decimal that never ends is called A repeating decimal or recurring decimal
what is the square root of 27000
Answer:
164.316767252
Step-by-step explanation:
Answer:
164
Step-by-step explanation:
Jolene is cutting a strip of yarn that is 11/12 inch long into pieces that are 2/12 inch long for collage. How many complete pieces can she make?
Answer:
10.5/12
Step-by-step explanation:
Thats my guess from my math
Answer:
5 1/2
Step-by-step explanation:
1112÷16
Applying the fractions formula for division,
=11×6/12×1
=66/12
Simplifying 66/12, the answer is
=512
What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?
(x Superscript 4 Baseline + 2 x) (3 x minus 7)
x Superscript 4 Baseline (3 x minus 7) (2 x minus 1)
x (x cubed + 2) (3 x minus 7)
x (3 x Superscript 4 Baseline minus 7 x cubed + 6 x minus 14)
Answer:
x(x³ + 2)(3x - 7)
Step-by-step explanation:
I got it right
The solution is Option D.
The equation is simplified as A = x ( 3x⁴ - 7x³ + 6x - 14 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 3x⁵ - 7x⁴ + 6x² - 14x be equation (1)
Now , on factorizing the equation , we get
Taking the common factor as x in the equation , we get
A = x ( 3x⁴ - 7x³ + 6x - 14 )
Therefore , the value of A is x ( 3x⁴ - 7x³ + 6x - 14 )
Hence , the equation is A = x ( 3x⁴ - 7x³ + 6x - 14 )
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