Using proportions, the number of planes in each city after 8 hours is given as follows:
Los Angeles: 25.St. Louis: 13.Dallas: 12.What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication and division, with the given ratios.
One example of application of proportions is for percentage problems, as the total amounts are multiplied by the decimal equivalent of the percentage to find the equivalent amounts.
The planes in Los Angeles after 8 hours are given as follows:
70% of 30 (that were already in Los Angeles).25% of 12(planes that were in St. Louis).12.5% of 8(planes that were in Dallas).Hence the amount is:
0.7 x 30 + 0.25 x 12 + 0.125 x 8 = 25.
The planes in St. Louis after 8 hours are given as follows:
20% of 30 (planes that were in Los Angeles).25% of 12(planes that were already in St. Louis).50% of 8(planes that were in Dallas).Hence the amount is:
0.2 x 30 + 0.25 x 12 + 0.5 x 8 = 13.
Initially, there were 50 planes, and 25 + 13 = 38 are in either Los Angeles or St. Louis, hence the remaining 50 - 38 = 12 are in Dallas.
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the switchboard in a minneapolis law office gets an average of 5.5 incoming phone calls during the noon hour on mondays. experience shows that the existing staff can handle up to six calls in an hour. let x
On Mondays at noon, the switchboard in a Minneapolis legal firm receives an average of 5.5 incoming calls. Consequently, X's standard deviation is 2.35 calls.
The current personnel can handle up to six calls in an hour, according to experience.
A Poisson distribution with an average number of calls of 5.5 on Mondays around lunchtime can be used to model the scenario that is being given.
Thus, the following equation represents the standard deviation for the number of calls received, X:
2.35 calls make up the standard deviation of X.
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When should you cross multiply with fractions
Answer:
fractions are cross multiplied in two situations:
division:
for e.g what is [tex]\frac{3}{2}[/tex]÷[tex]\frac{7}{5}[/tex]
to solve this expression we cross-multiply fractions:
=15/14
In equation:
for eg [tex]\frac{8x}{7}[/tex] = [tex]\frac{2}{9}[/tex]
to solve this we cross multiply:
8x(9)=2(7)
72x=14
x=14/72
In equation cross multiplication can only be carried out if denominator is same for e.g [tex]\frac{2}{1}[/tex]+ [tex]\frac{8x}{7}[/tex] = [tex]\frac{4}{7}[/tex] cannot be cross multiplied until denominator of 8x and 2 is same
Plss mark as brainliest
By cross multiplying, you can simplify the equation and solve for the unknown variable.
Cross multiplication is a technique used when solving equations involving fractions. It is typically used when you have a proportion or an equation with fractions, and you want to eliminate the denominators and solve for the unknown variable.
Cross multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction and vice versa. This technique is useful for simplifying equations and solving for the unknown variable.
You should cross multiply with fractions when you have an equation in the form:
a/b = c/d
To cross multiply, you would multiply ad (product of the numerators) and bc (product of the denominators) and set them equal:
ad = bc
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Isabelle made a punch for her birthday celebration by combining 6 liters of orange juice, 4 liters of pineapple juice, and 6 liters of soda. she then poured equal amounts of all the punch into 4 different containers. how much punch did francesca pour into each container?
Answer:
4 liters
Step-by-step explanation:
6+4+6 = 16
16/4 = 4
Graph the following inequality. x> -4
A triangle has base 8 cm and perpendicular height 5.2 cm
Diagram not drawn accurately
8 cm
Work out the area of the triangle.
Optional working
5.2 cm
Answer:
cm²
The area of the triangle is 20.8 cm².
We are given a triangle.The length of the base of the triangle is 8 cm.The perpendicular height of the triangle is 5.2 cm.If the base and height of a triangle are known to us, then we can easily calculate the area of the triangle.To find the area of the triangle, we will use the formula mentioned below :The area of the triangle is half the product of its base and its perpendicular height.The area of the triangle is (1/2)*8*5.2.The area of the given triangle is 20.8 cm².To learn more about triangles, visit :
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If you wanted to know which number, when raised to the exponent 3, results in 1,331, which action should you perform?
Find the cube of 1,331.
Find the square root of 1,331.
Find the cube root of 1,331.
Find the square of 1,331.
====================================================
Reason:
The cube root undoes the cubing operation.
It's similar to how the square root undoes squaring.
Your calculator should have a cube root button, or an nth root button. If not, then you can type in 1331^(1/3)
The exponent of 1/3 is the same as a cube root.
The result of 1331^(1/3) is 11
11^3 = 11*11*11 = 1331
Interpretation: You have a box that is 11 cm by 11 cm by 11 cm. The volume is 11^3 = 1331 cubic cm.
As you can see, the cube root is useful if you know the volume and want to work backwards to determine the side length of the cube.
the cube root of 1331 = ∛(11 × 11 × 11) = 11.
The square root of 1331 is 36.48287.
what must be true in order for you to be able to solve a system of linear equations using the elimination method?
In order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.
As given,
Consider two linear equations
a₁ x +b₁ y +c₁=0 _(1)
a₂ x +b₂ y +c₂=0 _(2)
Now to eliminate x variable equate coefficient of x with opposite sign
Multiply (1) by a₂ and (2) by a₁ and subtract to use elimination method
a₁ a₂ x + b₁ a₂ y + c₁ a₂=0
a₁ a₂ x +a₁ b₂ y + a₁ c₂=0
- - -
0x + (b₁ a₂ -a₁ b₂)y +(c₁ a₂-a₁ c₂)=0
Therefore, in order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.
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help pls
I would use 2 for this right
Step-by-step explanation:
yeah
1. Find all the real square roots of 0.0036. (1 po
0.06 and -0.06
0.0018 and -0.0018
0.1897 and -0.1897
0.6 and -0.6
The real square roots of 0.0036 will be A 0.06 and -0.06.
What are square root?The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."
It should be noted that this is a component of a number that yields the original number when multiplied by itself
The square root will be illustrated as:
= ✓0.0036
= 0.06 and -0.06
Therefore, the correct option is A.
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What is the product of -10/12 × -5/7
Answer: 25/42
Step-by-step explanation. hope it helps
Which of the following is the solution to the equation 8x+7=2x+37? (1) x = 5 (2) x = 11 (3)x=3 (4) x=9
Answer:
x = 5
Step-by-step explanation:
8x + 7 = 2x + 37 Subtract 2x from both sides of the equation
6x + 7 = 37 Subtract 7 from both sides
6x = 30 Divide both sides by 6
x = 5
Or you could plug in 5 for x and solve. If the equation is true, that is the answer
x= 5
8x + 7 = 2x + 37
8(5) + 7 = 2(5) + 37
40 + 7 = 10 + 37
47 = 47
If you try this with any other number, it will not equal. Lets try x = 11
8x + 7 = 2x + 37
8(11) + 7 = 2(11) + 37
88 + 7 = 22 + 37
95 ≠ 59 so x does not equal 11
5b^-4 simplified. Please help
[tex] = \frac{1}{ ({5b})^{4} } \\ = \frac{1}{ {5}^{4} b^{4} } \\ = \frac{1}{625b^{4} } [/tex]
ATTACHED IS THE SOLUTION
Point G is on line segment FH. Given G H= 8, F H= 3x +3, and FG=2x, determine the numerical length of FG.
The length of line segment FG is 10 units.
What is a line segment?A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies within those endpoints. The Euclidean distance between two endpoints of a line segment determines its length. In real life, a line segment might be a stick, a pencil, or a ruler. The sun's rays are an illustration of a ray. The sun is where the sun's rays begin, but there is no end to them.So, the length of FG:
FG + GH + FH2x + 8 = 3x + 33x - 2x = 8 - 3x = 5So, insert x = 5 in 2x:
FG = 2xFG = 2(5)FG = 10Therefore, the length of line segment FG is 10 units.
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Estimate 610+195/398
Answer:
242975
Step-by-step explanation:
you rewrite as a fraction
you calculate the sum
HELP WITH ALLL OF THIS DUE TONIGHT ‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
1. x = 3 and y = 1
2. 7 ; 4 (no solution)
3. x = 4 and y = 3
4. x = 10/9 and y = -7/9
5. (No Solution)
6. x = -4 and y = 2
7. x = 6 and y = 5
8. x = -4 and y = 7
9. x = -6 and y = -1
10. x = 5 and y = -2
your very welcome
A video game arcade offers a yearly membership with reduced rates for game play. a single membership costs $60 per year. game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens
The function's y-intercept is $60.
The equation y = 1/10x+60 can be used to express the function.
y| y 60 is the range.
The equation for the annual cost in dollars, y, based on x, the quantity of game tokens purchased for an arcade member, is represented by the following statements:
A) The function's y-intercept is $60.
B) The equation y = (1/10)x + 60 can be used to express the function.
C) y ≥ 60 is the range.
Typically, the slope-intercept form of the equation of a line is expressed as;
y = mx + c
Where;
the slope is m.
C is the y-intercept.
The input variable or domain is called x.
The output variable or range is called y.
As of right now, we're informed that a single membership costs $60 annually. This is the cost before any input, in this case, the purchase of game tokens.
It follows that the y-value intercept is $60.
According to what we've been told, members can purchase Game tokens for a discounted price of $1 for every 10 tokens. This implies;
y/x = 1/10
Thus, slope = 1/10
Putting this function's equation in slope intercept form now yields
y = (1/10)x + 60
The quantity of game tokens purchased is now limited to a minimum of 0. Thus;
Therefore, Domain; x ≤ 0
The price cannot be less than $60 since x ≤ 0.
Therefore, Range; y ≥ 60
Complete Question: A video game arcade offers a yearly membership with reduced rates for gameplay. A single membership costs $60 per year. Game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens. Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers. The slope of the function is $1.00. The y-intercept of the function is $60. The function can be represented by the equation y = y equals StartFraction 1 Over 10 EndFraction x plus 60.X + 60. The domain is all real numbers. The range is {y| y ≥ 60}.
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A line has a slope of 7 and includes the points (5, f) and (7, 8) what is the value of f
Answer:
-6
Step-by-step explanation:
First using the point slope form to find the equation for the line.
y -y1 = m (x-x1)
you plug in the given x and y values (7, 8)
which gives you y - 8 = 7(x-7)
isolate for y: y=8+7(x-7)
Now plug in 5 into the equation you got to solve for f
y = 8 + 7 (5-7)
y = 8 + 7(-2)
y = 8 - 14
y = -6
Which set of numbers is correctly ordered from greatest to least?
mc028-1.jp g
mc028-2.jp g
mc028-3.jp g
mc028-4.jp g
The set of numbers that is correctly ordered from greatest to least is; option D:
2.4√3π, 221/30,_
7.36 7¹/₃, How to arrange the numbers in descending order?We are given the numbers; 7¹/₃, 221/30,
_
7.36, 24√3π
Now, let us convert each number to decimal before we arrange in descending order;
7¹/₃ = 7.3333
221/30 = 7.3667..
_
7.36 = 7.3667...
2.4√3π = 7.3679
Thus, we can clearly see that 2.4√3π is the greatest while 7¹/₃ is the least and as such, the order is;
2.4√3π, 221/30,_
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In a particular college class, 60% of the students are female. Of the female students, 75% have long hair. One student is picked randomly in the class. What is the probability that it is a female with long.
If one student is picked randomly in the class, the probability of a student being long haired female is 9 out over 20 students.
What is probability?Probability is defined as the ratio of outcomes that are more likely to occur than all other outcomes of an event. For an experiment with 'n' number of outcomes, the number of favorable outcomes can be denoted by the symbol x. To calculate the likelihood of an event, use the following equation.
Probability (event) = favourable outcomes/ total outcomes (x/n)
Let the number of students in a particular college be 100
Then, if 60% are female that means 60 students are girls (60/100 × 100)
Now, it is said that 75% of females have long hair, that means
75% of 60 girls have long hairs, if we calculate then we find that
⇒ 75/100 × 60
⇒ 3/4 × 60
⇒ 3 × 15
⇒ 45 girls are long haired
Now the probability of a female being longed hair is
⇒ favourable outcomes/ total outcomes
⇒ 45/100
⇒ 9/20
Thus, the probability of a student being long haired female is 9 out over 20 students.
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Decimals question I need help with:
Answer:
See below
Step-by-step explanation:
Look at 100th place if it is ≥5 round the 10th place up by 1 o/w leave it alone
22.7
22.8
22.8
22.7
22.8
22.7
A tablet data provider offers different plans for data usage. The plan Raul chose has a monthly fee of $29.99 per month for 5 GB of data with an additional cost of $10 for each gigabyte over 5
The minimum number is 9 GB to make the unlimited cheaper.
What is a gigabyte?A gigabyte is a specific unit of data that's equal to about 1 billion bytes of data. The term gigabyte is typically used to describe the amount of stored data or the capacity of a storage device. For example, an HDD might offer 500 GB of raw capacity but is currently storing only 200 GB of data.
Given that,
A tablet data provider offers different plans for data usage
The plan Raul chose has a monthly fee of $29.99 per month for 5 GB of data with an additional cost of $10 for each gigabyte over 5.
Assume that he will use n gigabyte per month
The monthly fee is $29.99 for 5 GB
∵ The cost per GB after the first 5 GB is $10
∵ The number of GB whose cost is $10 is (n - 5)
∴ His monthly fees = 29.99 + 10 (n - 5) ⇒ current plan
The fees of the unlimited is $59.99 per month
∵ We need the unlimited cheaper than current plane
Let the current plan greater than the unlimited plan
∴ 29.99 + 10 (n - 5) > 59.99
Subtract both sides by 29.99
∴ 10 (n - 5) > 30
Divide both sides by 30
∴ n - 5 > 3
Add both sides by 5
∴ n > 8
Hence, The minimum number is 9 GB to make the unlimited cheaper.
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a container is in the shape of a square based prism with base measurement of 3m and the height is 5m. The top and bottom are made of steel and the sides are made of aluminum. If steel costs $2.95/m^ and aluminum costs $1.57/m^, how much would it cost to make the container?
The cost for making the container is $28. 27
How to determine the cost of the containerFrom the information given, we have that;
The base of the square prism is 3mThe height of the square prism is 5mWe also have the following deductions;
The top and bottom are made of steelThe sides of the square prism are made of aluminumThe properties of a square prism are;
It has 8 vertices, 6 faces and 12 edgesOpposite sides are parallel to each otherOpposite sides are equal to each otherOpposite angles are equal each otherThe diagonals of the prism bisect each otherThe cost for aluminum = 10($1.57)
expand the bracket
The cost for aluminum = $10. 57
The cost for steel = 6($2.95)
The cost for steel = $17. 7
Total cost for the container = $10. 57 + $17. 7
Total cost for the container = $28. 27
Hence, the cost is $28. 27
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find the distance between points S(-2,4) and T(3,9) Round your answer to the nearest tenth
Answer:
Distance between coordinates is given as √(x1-x2)²+(y1-y2)², where x and y are the coordinates of the points.
Length of ST = √(-2-3)²+(4-9)²
= √(-5)²+(-5)²
= √25+25
= √50
= 7.07
= 7.1 (nearest tenth)
x^3 +2x^2 -19x -20 =0
x raise to Power 3 + 2 x raise to power 2 - 19 x - 20 equals to 0 solve
(-2, -1) and (8, 7) distance between each pair
The distance between (-2 , -1) and (8 , 7) is:
= 12.81 units
solve?
Given two points (-2 , -1) and (8 , 7)
formula to find distance is,
d=√((x2 – x1)² + (y2 – y1)²)
here, x1 = -2 , x2 = 8 , y1 = -1 and y2 = 7
by substituting the values ,
d = [tex]\sqrt{(8-(-2))^{2} + (7 -(-1))^{2}[/tex]
= [tex]\sqrt{10^{2} + 8^{2} }[/tex]
= [tex]\sqrt{100 + 64}[/tex]
= [tex]\sqrt{164}[/tex]
= 12.81 units
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You thought i was filli n you ?
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assume that births are randomly selected and of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
According to the statement the number of girls is significantly high. This was because of 50 birth, 49 are girls.
What are objective statement?Objective judgments are those that are based on or employ facts that can be observed or verified, particularly by scientific methods, and are independent of one's own thoughts, feelings, or preconceptions.
From the information, births are randomly selected and of the 50 births, 49 are girls. This illustrates that the number of girls as significantly high. The have a percentage of (49/50) × 100= 98%.
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Assume that births are randomly selected and of the 50 births, 49 are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Based on the information provided, the number of girls in the births cannot be categorized as significantly high, significantly low, or neither significantly low nor significantly high, solely through subjective judgment.
The description of "significantly high" or "significantly low" typically requires statistical analysis and comparison to a reference point or expected value. Without knowing the total number of births or having a reference point for the expected proportion of girls in the births, it is not possible to determine whether the number of girls is significantly high or low.
The term "significantly" in statistics usually involves assessing whether an observed value deviates from an expected value by a statistically significant margin.
Subjective judgment alone cannot accurately assess whether the number of girls in the births is significantly high or low. To determine significance, a statistical analysis would involve calculations such as calculating the expected proportion of girls, performing hypothesis testing, and assessing the p-value to make an informed judgment.
Without these quantitative measures, it is not possible to make an accurate subjective determination of the significance of the number of girls in the births.
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Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of pi
The volume of cylinder is 1152π cm³.
What is volume?
Volume is a measurement of three-dimensional space that is filled. It is frequently mathematically quantified using SI-derived units (such as the cubic metre and litre) or other imperial units (such as the gallon, quart, cubic inch). Volume is connected to the notion of length (cubed). The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space that the container occupies. Volume was measured in ancient times using similar-shaped natural containers and, subsequently, standardized vessels. The volume of several simple three-dimensional forms may be easily computed using mathematical methods.
Radius of a sphere = 6 cm
Volume of a sphere = (4/3)πr³ = (4/3).π.6³ = 288π cm³
Therefore, volume of cylinder = 288π x 4 = 1152π cm³
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i need help with this, thanks
Answer:
9
Step-by-step explanation:
Vertical angles are congruent, so:
[tex]16y=18y-18 \\ \\ -2y=-18 \\ \\ y=9[/tex]
Pls helppp 8,890 divided by 48
Answer:
185 R10 (185.21)
Step-by-step explanation: