To meet the goal, the company should adjust the mean and/or standard deviation so that the probability of cans having a volume less than 355ml is less than 2.5%.
A probability is a numerical representation of the likelihood or chance that a specific event will take place.
We can use the z-score formula to find the probability of cans having a volume less than 355 ml.
z-score = (355 - 358.2) / 1.8 = -1.78
Probability of cans having a volume less than 355ml = P(z < -1.78) = 0.0372
The company is not meeting its goal since the probability of cans having a volume less than 355ml is 0.0372 which is greater than 2.5%.
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Find the measure of angles 1 and 2.
Explain your reasoning as to how you determined the measurements of angles 1 and 2.
The required values of the angle ∠1 and ∠2 are 135°and 135°respectively.
Explain about angle.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
According to question:We need to find angle 1 and 2
So, by using corresponding angle theorem,
∠1 = 135°
Similarly for ∠2
By using vertically opposite angle,
∠2 =135°
Thus, required value of the angle are ∠1 = 135°, ∠2 =135°.
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Determine the lowest common denominator for each sum or
13/24 • 7/12
Common Denominator: 10 Common Denominator: 12
Common Denominator: 24
7/6 • (-5/12)
344 • (-2/3)
5 - 7/10
1/8 - 5/3
3/2 -4/5
The expressions which are having common denominator 24 are
13/24 + 7/12 , 1/8 - 5/3 and for 10 are 5 - 7/10 , 3/2 - 4/5 and for 12 are
7/6 - 5/12, -3/4 - 2/3.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given ,
So given expressions are,
13/24 + 7/12 = 13+ 7*2 / 24 = 13+14 / 24 = 27/24
7/6 - 5/12 = 7*2 - 5 / 12 = 14-5/12 = 9/12
-3/4 - 2/3 = - (3/4 + 2/3 ) = - ( 9 + 8 / 12) = -17/12
5 - 7/10 = 5*10 - 7 / 10 = 50 - 7 / 10 = 43/10
1/8 - 5/3 = 3 - 8*5 / 24 = 3-40 / 24 = -37 / 24
3/2 - 4/5 = 3*5 - 2*4 / 10 = 15-8 / 10 = 7/10
Therefore, The expressions which are having common denominator 24 are 13/24 + 7/12 , 1/8 - 5/3 and for 10 are 5 - 7/10 , 3/2 - 4/5 and for 12 are 7/6 - 5/12, -3/4 - 2/3.
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A cylinder measures 5 inches tall and has a base radius of 8 inches. How does the cylinder's lateral area compare to the sum of the areas of the two bases? Use π≈3.14. Enter your answer, rounded to the nearest tenth, in the box to correctly complete the statement. The lateral area of the cylinder is approximately square inches less than the sum of the areas of the two bases.
Answer:
nches. L.S.A.=2π(3)(9)=54π inches2. ≈169.64 inches2
Step-by-step explanation:
What is the solution to the system of equations shown in the graph?
Responses
A (0, 5)(0, 5)
B (1, -2)(1, -2)
C no solution
D (0, -1)(0, -1)
E (-2, 1)(-2, 1)
Answer: B is the answer
Step-by-step explanation:
6.
Stem
1
2
3
Leaf
556
1 1 1
5 6
16 means 1.6
Match the stem and leaf plot to the correct set of data.
The correct set of data matched to the stem and leaf plot is given as follows:
1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6.
What is a stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
1|6 = 1.6.
(in the context of this problem).
Following the key format, the measures listed in the answer represent the correct data-set from the stem-and-leaf plot.
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Please help me out on my homework
Answer:
no solutions
Step-by-step explanation:
8(2w - 3) = 4(4w - 8)
Use distributive property.
16w - 24 = 16w - 32
subtract 16w from both sides.
-24 = -32
When the variable falls out of the equation as you are working on it, and you're left with a false statement, there is no solution.
Answer:
no solution
Step-by-step explanation:
to find the value of w, we have to isolate it on one side of the equation.
first, we distribute the numbers outside of the parentheses and multiply them to each term on the inside. this gives us:
16w - 24 = 16w - 32
next, we move 24 to the other side of the equation by adding 24 to both sides. by doing this, we get rid of 24 on the left side by making its value 0, and we add it to -32 on the right side. this gives us:
16w = 16w - 8
after this, we do the same with the 16w on the right side and subtract it from both sides. however, you might notice that there's a problem here.
when you try to move the 16w on the right side to the left side, you subtract 16w from itself, which gets rid of the variable entirely. whenever this happens, there are no values of the variable that make the equation possible- meaning that the answer is no solution.
hope this helped, good luck!
Two Javan Rhinoceroses share a zoo exhibit. The younger one weighs tons, while the older one weighs 2,400 pounds. Which one weighs more?Explain
Answer:
if younger one weighs 1 ton, then older one is heavier
Step-by-step explanation:
1 ton = 2000lbs
when the data have the properties of interval data and the multiplication or division of two values is meaningful, the variable has which scale of measurement?
When the data have the properties of interval data and the multiplication or division of two values is meaningful, the variable has which scale of measurement is referred to as Ratio Scale.
Now, According to the question:
A scale of measurement can be defined as a classification which is used to illustrate the attributes of the values that are assigned to variables associated with a data set.
The scales of measurement.
Generally, there are four (4) basic scale of measurement for a variable and these include the following;
Interval scaleRatio scaleOrdinal scaleNominal scale
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Calculate the angular momentum of a ballet dancer who is spinning at 1.5 rev/sec. Model the dancer as a cylinder (I = MR 2) with a mass of 62 kg, a height of 1.6 m and a radius of 0.16 m.
The angular momentum of an object can be calculated using the formula L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
In the case of the ballet dancer, we are told that they are spinning at 1.5 rev/sec, and that they can be modeled as a cylinder with a moment of inertia of 22 MR^2, a mass of 62 kg, a height of 1.6 m, and a radius of 0.16 m.
We can calculate the moment of inertia of the cylinder using the formula I = (1/2) MR^2, where M is the mass and R is the radius.
Plugging in the values we have, I = (1/2)(62 kg)(0.16 m)^2 = 3.072 kg-m^2
We can then calculate the angular momentum of the dancer by plugging in the values we have into the formula L = Iω,
L = (3.072 kg-m^2)(1.5 rev/sec) = 4.608 kg-m^2/s
So the angular momentum of a ballet dancer who is spinning at 1.5 rev/sec, modeled as a cylinder with a moment of inertia of 22 MR^2, a mass of 62 kg, a height of 1.6 m and a radius of 0.16 m is 4.608 kg-m^2/s.
A company manufactures and sells shirts the daily profit. The company makes depends on how many shirts they sell the profit in dollars when the company sells X shirts can be found using the function F buy X)equals 6X -90 find the interpret the given function values and determine inappropriate domain for the function f(-9)
profit of
of the problem.
=
f(27)
profit of
of the problem.
=
f(17.5) =
profit of
of the problem.
meaning if the company sells |
dollars. This interpretation
meaning if the company sells
dollars. This interpretation
, meaning if the company sells
dollars. This interpretation
shirts, they would make a
in the context
shirts, they would make a
in the context
shirts, they would make a
in the context
Answer:
The derivative of the profit function P(x) is called marginal profit with notation: P ... Example 2: Given the average cost in dollar per unit C = 357x + 1800 , find: ... (1) the selling price to maximize the revenue is 31 − 3 = 28 dollars per unit ... Example 6: A company has established that the revenue function in dollars is R(x)=2x.
Step-by-step explanation:
Express the following as a rate.
a) 20 litres of Petrol for R180
The rate of petrol in this case is R9 per liter.
What is rate?
In mathematics, rate is a measure of how one quantity changes in relation to another quantity. It is often expressed as a ratio or fraction, where the numerator represents the amount of change in the first quantity and the denominator represents the amount of change in the second quantity.
The rate of petrol can be expressed as the cost per liter. To find the cost per liter of petrol in this case, we can divide the total cost by the total amount of petrol:
Cost per liter = Total cost / Total amount
For the given scenario, we have 20 litres of petrol for R180. So the rate can be calculated as:
Rate = Total cost / Total amount = R180 / 20 litres
Simplifying the expression, we get:
Rate = R9 per litre
Therefore, the rate of petrol in this case is R9 per liter.
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In a school containing 360 children, 198 are girls. What percent of all the students are girls? What percent of the children are boys? The number of girls is what percent of the number of boys?
Which of the following is an equation of the line through 11,3 and7,9
The linear equation for the coordinate points given is obtained as y = -3/2x + 19.5.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The coordinate points for the lines are (11,3) and (7,9).
The slope-intercept form of an equation/function is - y = mx + b
To find the slope m use the formula -
(y2 - y1)/(x2 - x1)
Substituting the values in the equation -
[9 - 3]/[7 - 11]
(6)/(-4)
3/-2
So, the slope point is obtained as m = 3/-2.
The equation becomes - y = -3/2x + b
To find the value of b substitute the values of x and y in the equation -
3 = -3/2(11) + b
3 = -33/2 + b
b = 3 + 33/2
b = (6 + 33)/2
b = 39/2
b = 19.5
So, the value for b is 19.5.
Now, the equation becomes -
y = -3/2x + 19.5
The graph for the equation is plotted.
Therefore, the equation is obtained as y = -3/2x + 19.5.
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a piece in a wooden toy set is a sphere of radius 7cm , with a cylindrical hole of radius 1cm drilled through the center. find the volume of this piece. write the exact answer. do not round.
The volume of the piece is: 4489.33
To find the volume of this piece, we need to subtract the volume of the cylindrical hole from the volume of the sphere.
The volume of the sphere is given by the formula: V = (4/3) * pi * r^3
Where r is the radius of the sphere, so in this case: V = (4/3) * pi * (7cm)^3 = 1436 * 3.14 cm^3 = 4511.32 cm^3
The volume of the cylinder is given by the formula: V = pi * r^2 * h
Where r is the radius of the cylinder and h is the height of the cylinder, since the hole is drilled through the center of the sphere, the height of the cylinder is equal to the radius of the sphere, so: V = 3.14 * (1cm)^2 * 7cm = 21.99 cm^3
So the volume of the piece is: 4511.32 - 21.99 = 4489.33 cm^3
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What is angle CBD
A=60
D=80
C=25
The measure of angle m∠CBD is equal to 55°
How to to evaluate for the missing angle m∠CBDWe shall first find the measure of the angle m∠CDB so that we can evaluate for the measure of angle m∠CBD using the sum of interior angles of a triangle theorem as follows:
m∠ADB and m∠CDB are on a straight line and their sum is equal to 180° so;
m∠CBD + 80° = 180° {sum of angles on a straight line}
m∠CDB = 180° - 80° {subtract 80° from both sides}
m∠CDB = 100°
m∠BCD + m∠CDB + m∠CBD = 180° {sum of interior angles of a triangle}
25° + 100° + m∠CBD = 180°
125° + m∠CBD = 180°
m∠CBD = 180° - 125° {subtract 125° from both sides}
m∠CBD = 55°
In conclusion, the measure of angle m∠CBD is equal to 55°.
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if jenna saves $2500 per year with an intrest of 10% compounded annually how much would she have in 30 years
Answer: Jenna would have $37,175 in 30 years if she saves $2500 per year with an interest rate of 10% compounded annually.
Step-by-step explanation:
To calculate the total amount Jenna would have after 30 years of saving $2500 per year with an interest rate of 10% compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount (principal + interest)
P = the initial principal (the amount Jenna saves each year, $2500 in this case)
r = the interest rate (10% in this case, so 0.10)
n = the number of times interest is compounded per year (annually in this case, so 1)
t = the number of years (30 in this case)
Plugging in the values:
A = $2500(1 + 0.10/1)^(1*30) = $2500(1.10)^30 = $2500(14.87) = $37,175
So, Jenna would have $37,175 in 30 years if she saves $2500 per year with an interest rate of 10% compounded annually.
Answer:
$411,235.06
Step-by-step explanation:
Colin had $23 to spend on four raffle tickets after buying them had $11 how much did each raffle ticket cost what’s the equation HELPPP
Colin had $23 to spend on four raffle tickets after buying them had $11. So each raffle ticket cost is $3 and the equation is 4x + 11 = 23.
Colin had $23 to spend on four raffle tickets after buying them had $11
We have to determine how much each raffle ticket cost and the equation.
Let the cost of one raffle is x.
So the cost of four raffle is 4x.
Colin has total $23.
Colin has left money = $11
So the required equation should be
4x + 11 = 23
Now solving the equation
Subtract 11 on both side, we get
4x = 12
Divide by 4 on both side, we get
x = 3
The cost of one raffle is $3.
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Write a system of equations.. Taxi company charges a fee of $10 plus $2.50 per mile, taxi company #2 charges $4.00 per mile with no fee
PLEASE HELP, DUE TOMORROW
The equation for the situation described in your problem would be y is $10x + $2.50 .
How do a set of equations work with answers?To utilize substitution to resolve an equational system:
Divide one of the two variables in one of the equations.
Substitute the expression that the isolated variable's equivalent from Step 1 into the other equation.
Solve the linear equation for the last variable.
system of equations, simultaneous equations Algebraic equations involving two or more must be solved cooperatively (i.e., the solution must satisfy all the equations in the system). For a system to have a single solution, the number of equations must equal the number of unknowns. Even then, a solution is not guaranteed.
The following equation would apply to the scenario in your problem:
y =$10x + $2.50
y = $2x + $4.00
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A popular gaming console that retails for $299,
was sold out for quite some time. Jake finally
found it on a resale platform, but it was marked
up 40%.
If Jake finally found the gaming console on a resale platform, it was marked up 40% ,then the amount that Jake has to pay to buy it is $418.6 .
The retail price of the gaming console is = $299 ;
the markup in the price of the gaming console is = 40% ;
then the new price of the gaming console is = 299 + 40% of $299 ;
= 299 + 0.40 × 299 ...because 40% is 0.40
Simplifying further ,
we have ;
= 299 + 119.6
= 418.6
Therefore , Jake has to pay $418.6 for the gaming console to buy from the resale platform .
The given question is incomplete , the complete question is
A popular gaming console that retails for $299, was sold out for quite some time. Jake finally found it on a resale platform, but it was marked up 40% , Find the amount that Jake has to pay to buy it .
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It takes Julie 4 minutes to run a kilometer. How many kilometers can she run in 12 minutes?
Answer: 180 kilometers
Step-by-step explanation:
Answer:
I think she runs 1 kilometer every 5 minutes
Step-by-step explanation:
-60=x-16, -60+?=x-16+?
The value of x when using addition property of equality to solve the given problem is; -44
How to use addition property of equality?The addition property of equality is a property of equality that states that when the same quantity is added to both sides of an equation, it will produce an equivalent equation. For example, 4 = 2 + 2 is an equation due to the fact that both the right and the left-hand sides of the equal sign represent the number 4.
The equation to solve is;
-60 = x - 16
By the use of addition property of equality, we will add 16 to both sides to get;
-60 + 16 = x - 16 + 16
x = -44
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Three rectangular prisms are shown below. Prism A is a rectangular prism with a height of six inches, length of three inches, and a width of two inches. Prism B is a rectangular prism with a height of three inches, length of five inches, and a width of two inches. Prism C is a rectangular prism with a height of two inches, length of seven inches, and a width of two inches. Which statement is true? (4 points) a The volume of Prism A is less than the volume of Prism C. b Prism B has the greatest volume. c Prism B has a greater volume than Prism C. d Prism B and Prism C have the same volume.
The true statement is, c.) Prism B has a greater volume than Prism C.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
Prism A is a rectangular prism with a height of six inches, length of three inches, and a width of two inches.
Prism B is a rectangular prism with a height of three inches, length of five inches, and a width of two inches.
Prism C is a rectangular prism with a height of two inches, length of seven inches, and a width of two inches.
now,
volume of prism=V = B*H
where, B is the area of base.
so, by calculating we get,
V-prism A= 36 inch^3
V-prism B= 30inch^3
V-prism C=28 inch^3
Hence, c.) Prism B has a greater volume than Prism C.
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Answer:
C
Step-by-step explanation:
h(x) = 3x; Find h(-6)
PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
8
Step-by-step explanation:
x= 24/3 = 8
Answer:
[tex] \sf \: x = 8[/tex]
Step-by-step explanation:
Given equation,
→ 3x = 24
Now the value of x will be,
→ 3x = 24
→ x = 24 ÷ 3
→ [ x = 8 ]
Hence, the value of x is 8.
1 1/5 - 1/3 greater or less than 1
Answer:
LESS THAN ONE
Step-by-step explanation:
1 1/5 - 1/3=0.86666666666
0.86666666666
MARK ME BRAINLISIST!
I AM POG
(4×3)÷3[-15-5{6-8+2}]
Answer:
20
Step-by-step explanation:
=12÷3[-15-5{6-8+2}]
=12÷3[-15-5{6-10}]
=12÷3[-15-5-4]
=12÷3[20-4]
=12÷3+16
=4+16
=20
Can someeeeeoneee helppp meeee please
Answer: Yes it's 7
Step-by-step explanation:
10/100 x 70 = 7
Answer:The correct answer would be 7
Step-by-step explanation:
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 40 minutes of calls is $16.03 and the monthly cost for 81 minutes is $19.72. What is the monthly cost for 64 minutes of calls?
Answer:
18.19
Step-by-step explanation:
$ = linear f(t)
$16.03 = f(40) = fixed fee + per min fee = x + 40y
$19.72 = f(81) = fixed fee + per min fee = x + 81 y
use above 2 equations to minus the other
you get:
19.72-16.03 = 41y
so y = 0.09
so x = 16.03 - 40*0.09 =12.43
so for 64 mins
cost = 12.43 + 0.09*64 =18.19
this problem has two parts. the second part will appear after you answer the first part correctly. (a) what are the vertical asymptotes of f (x)
The asymptotes of f vertically (x)x=4, -4 are the vertical asymptotes.
An area on a graph where a function approaches infinity or negative infinity is known as a vertical asymptote. It happens when a rational function, which is a function that can be expressed as the quotient of two polynomials, has a denominator equal to zero but a numerator that is not. As a result, there is a noticeable "break" in the graph when the function becomes unbounded. For instance, when x=3, the vertical asymptote of the function 1/(x-3) exists.
As per the data given in the above question are as bellow,
The provided data are,
[tex]\mathrm{F}(\mathrm{x})=\frac{3 \mathrm{x}^2}{\mathrm{x}^2-16}[/tex]
When it comes to vertical asymptotes, the denominator is zero.
[tex]\mathrm{x}^2-16 & =0 \\\mathrm{x}^2 & =16 \\[/tex]
x= ±4
x=4,-4
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Workers in an office of 40 staff were asked their favourite type of take-away. The results are summarised in the table. Take-away Frequency Angle Pizza 3 a Curry 12 b Fish & chips 7 c Kebab 3 d Other 15 e Work out the size of each angle to draw a pie chart.
The measure of angles a, b, c, d and e are 54°, 18°, 108°, 81° and 99°.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, workers in an office of 40 staff were asked their favorite type of take-away.
Fraction of a person = 1 degree
Here, 360° = 40 people
So, 1 degree = 40/360 =1/9
Now, angle a =6/40 ×360
= 54°
Angle b= 2/40 ×360
= 18°
Angle c= 12/40 ×360
= 108°
Angle d = 9/40 ×360
= 81°
Angle e =11/40 ×360
= 99°
Therefore, the measure of angles a, b, c, d and e are 54°, 18°, 108°, 81° and 99°.
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