Answer: No
Step-by-step explanation: You want to find the unit rate for each bagel. 6/3 is 2 dollars, so each bagel is going to cost 2 dollars. If your getting 24 bagels for 9 dollars, 24/9 is 2 2/3 dollars for each bagel. 2 ≠ 2 2/3 so therefore, they're not the same.
a telephone call arrived at a switchboard at random within a one-minute interval. the switch board was fully busy for 15 seconds into this one-minute period. what is the probability that the call arrived when the switchboard was not fully busy?
The chance that the call arrived when the switchboard was not completely busy is 0.75.
Probability is a branch of mathematics that studies the likelihood of a random event occurring.
It is given that the switchboard is fully busy for the first 15 seconds, that means it is not busy for the next 15 seconds to 60 seconds
Therefore the probability that calls arrived when the switchboard was not fully busy is
P(15< x < 60) = ∫_15^60▒f(x)dx
= ∫_15^60▒〖1/60 dx〗
=1/60 ∫_15^60▒〖1.dx〗
= 1/60 [ x ]6015
= (60 – 15)/60
= 45/60
= ¾
= 0.75
Therefore the probability that the call arrived when the switchboard was not fully busy is 0.75
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What’s the exact value of sin,cos,tan.
Answer:
a) 1
b) 0.5
c)0
Vivian and Kyle each want to run for president of their school's student body council. In order to do so, they must collect a certain number of signatures and get a nomination. So far, Vivian has 18 signatures, and Kyle has 14. Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures. How long will that take? How many signatures will they both have?
The number of days it take the same number of signature will be 2 days.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Vivian has 18 signatures, and Kyle has 14.
Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.
Now,
Since, Vivian has 18 signatures, and Kyle has 14.
And, Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.
Let number of days it take the same number of signature = x
So, We can formulate;
⇒ 18 + x = 14 + 3x
Solve for x as;
⇒ 18 + x = 14 + 3x
⇒ 18 - 14 = 3x - x
⇒ 4 = 2x
⇒ 2x = 4
⇒ x = 2
Thus, The number of days it take the same number of signature will be 2 days.
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Triangles geometry . PLS
Step-by-step explanation:
Angle BAC = angle BCA
as sum of angles in triangle = 180
49 + 49 + ABC = 180
180 - 49 - 49 = ABC
ABC = 82°
according to money magazine, maryland had the highest mean annual household income of any state in at (time website). assume that annual household income in maryland follows a normal distribution with a mean of and standard deviation of . a. what is the probability that a household in maryland has an annual income of or more (to 4 decimals)?
The probability that a household in Maryland has an annual income of 100000 or more is 0.2373
Given Data;
Maryland had the greatest mean yearly household income of any state, according to Money magazine (time website). Consider a normal distribution with a mean of 75847 and a standard deviation of 33800 for the annual household income in Maryland.
Population Mean (μ) = 75847
Population Standard Deviation (σ) = 33800
'X' follows a normal distribution with a population mean and population standard deviation.
Here,
X ~ N ( μ = 75847 ,σ = 33800 )
Z =(X - μ)/σ
To get the probability that a household in Maryland has an annual income of 100000 or more.
Now, we have to compute P (X > 100000)
P (X > 100000) = 1 - P( (X-μ)/σ < (100000-75847)/33800 )
= 1 - p(z < 0.715 )
= 1 - 0.7627
= 0.2373
The required probability is 0.2373
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brian borrowed a 20-foot extension ladder to use to paint his house. If he sets the base of the ladder six feet from the house how far up will the top of the ladder reach?
The ladder Brian borrowed for painting should go 19.08 feet up the house if Brian sets the base 6 feet from the house
How to find the distance up the house the ladder will goinformation given in the question
hypotenuse = 20-foot ladder
adjacent = 6 feet from the house
opposite = how far up the house = ?
The problem is solved using the Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
20² = 6² + x²
400 = 36 + x²
400 - 36 = x²
x² = 364
x = √364
x = 19.08
The ladder Brain borrowed will go 19 feet high
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Use polynomial long division to find the quote and the remainder when 2x^3-4x^2-x+2 is divided by X+2
The quotient of the polynomial is 4x - 9 and the remainder is 20
What are Quotient and remainder?The resultant of the division is called the quotient while the Remainder is the number that is left after division.
In long division, the terms on top of the division symbol are called the quotient while that at the bottom is called the remainder.
When a division has no remainder it means that the polynomial is divisible by the divisor.
The body of the calculation is found in the attached file below.
In conclusion, the Quotient and remainder are 4x - 9 and 20 respectively.
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Take 16 objects (pieces of paper, coins, plums, checkers) and put them in four
rows of 4 each. Remove 6, leaving an even number of objects in each row and each
column. (There are many solutions.)
There can be different possible ways in which we can remove the objects and can form possibilities within the rows and columns
What are rows and columns?
Rows and columns are used to properly distinguish categories, classifications, types, etc., when they occur in matrices, spreadsheets, etc. The usage of these words is a bit confusing for most. Rows are a group of cells arranged horizontally to provide uniformity. Columns are a group of cells aligned vertically, and they run from top to bottom. Although the main reason for both rows and columns is to bifurcate groups, categories, and so on,
In the question, It is given that:
There are 16 objects.
and Number of rows = 4;
Number of column = 4;
The task to do is to remove 6, leaving an even number of objects in each row.
So, we can do that in the following manner;
So, we can remove the 2nd object, 4th object, 6th object,8th object,10th object, and 12th object. when we are dealing with rows.
So, we can remove the 2nd object, 4th object, 6th object,8th object,10th object, and 12th object. when we are dealing with the column.
Hence,
There can be different possible ways in which we can remove the objects and can form possibilities.
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degree and real roots of (x-3)(x+1)(x-1)=0
Step-by-step explanation:
at first multiply the factors
[tex] ({x}^{2 } + x \: - 3x \: - 3)(x - 1) = 0[/tex]
[tex] {x}^{3} - {x}^{2} - 3 {x}^{2} - \: 3x - {x}^{2} - x \: + 3x + 3 = 0[/tex]
[tex] {x}^{3} - 5 {x}^{2} - x + 3 = 0[/tex]
Here we see the highest power is 3 so the degree of the equation is 3
As for the real roots, the factors each as in (x-1), (x-3) & (x+1) can be considered zero each to find the real roots because for the value of x to be zero any of the multiplied factors must be zero.
either, x-1=0
=> x = 1
or, x+1=0
=> x = -1
or, x-3=0
=> x = 3
real roots of x are: 1, -1 and 3
D. 4. A Jamaican Airline plane flew 1,200 miles southeast from Freeport Bahamas to San Juan Puerto Rico. The plane then flew 800 miles west to Montego Bay, Jamaica. The plane then flew north back to Freeport. To the nearest whole mile, how far did the plane fly from Montego Bay to Freeport? Bermada 1,200 miles Hast Dominican Bers 800 miles CARII WorldA Atlantic Ocean TUK
The flight of plane from Montego bay to freeport is 894 miles.
To solve this we use Pythagoras theorem.
What is Pythagoras theorem?
The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem.
Main Body:
Formula for Pythagoras theorem = [tex]P^{2} +B^{2}[/tex]= [tex]H^{2}[/tex]
here H = 1200
B= 800
P =?
solving this equation
1200² = 800²+P²
P²= 800000
P=[tex]\sqrt{800000}[/tex]
P ≈ 894 miles
Hence the distance of flight from Montego Bay to Freeport is 894 miles.
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Weekly
wages at a certain factory
are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.
[ ? ]%
The probability that a worker selected at random makes between $350 and $400 = 0.34134
What is a z score formula?
The standard score represents how far a raw score deviates from or exceeds the mean of the phenomenon being observed or measured. Positive standard scores are assigned to raw scores that are greater than the mean, while negative standard scores are assigned to raw scores that are less than the mean.
By using the z score formula:
z = (x - μ) / σ
Where,
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
Consider, x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 = 0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
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The sum of the two numbers is -34 and their difference is 5. Find the numbers.
Answer:
y = -19.5, x = -14.5
Step-by-step explanation:
We can form equations from this statement:
x + y = -34
x - y = 5
If we rearrange the second equation, we get:
x - y = 5
x = 5 + y
Then, we substitute this value into the other equation to get the answer.
x + y = -34
5 + y + y = -34
Then solve:
2y + 5 = -34
2y = -39
so, y = -19.5
now we can find x with y:
-19.5 + x = -34
-34 + 19.5 = x
x = - 14.5
Write the equation in slope-intercept form.
y-6=-3(x + 2)
pls help me wit this
estelle's cornfield is divided into 666 regions. she wants to know if a new pesticide is as effective as the pesticide that she currently uses. she randomly assigns each of the 666 regions to either the new or current pesticide for a month, and she'll compare the effectiveness of the pesticides. what type of experiment design is this?
This is completely Randomized experiment design .
Randomized block design is an experiment design in which the experimental units are categorized into groups, which are called blocks.
In the given question, we see that Estelle's cornfield is divided into 666 regions. She is curious about whether a new pesticide is effective because she uses pesticides and assigns each of the 666 regions at random.Now, the experiment units, i.e., 666, are not split into groups before random assignment. The entire region is randomly assigned to a pesticide. A randomised block design assigns some of each block to different treatment and control groups.
So , this is a completely randomized block design.
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y=5/x. Make x the subject of the formula
Solve in terms of x.
[tex]y=\frac{5}{x}[/tex]
Multiply by x on both sides to remove it from the denominator.
xy =5
Divide by y to get x by itself
[tex]x=\frac{5}{y}[/tex]
Answer:
x=5/y
Step-by-step explanation:
y=5/x
cross multiplying
yx=5
x=5/y
Josiah read 28 pages in 1 3/5 hours. At what rate, in pages per hour, did he read?
PLEASE HELP!!!!
Josiah read at the rate of 17.5 pages per hour.
What is the speed of reading?Speed of reading is the number of pages read per hour.
Given here, Josiah read 28 pages in 1 ³/₅ hours which is in mixed fraction
now 1 ³/₅ = ⁸/₅ = 1.6 hours
therefore the speed of reading is = 28 / 1.6 = 17.5 pages hour.
Hence, Josiah's the speed of reading is 17.5 pages hour.
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Paul had two catches during his football game. On his first catch, he lost 12 yards. On his second catch, he gained 26 yards. How many total yards did Paul gain from both of these catches?
Paul gained a total of 14 yards from both the catches during his football game.
Given,
Paul had two catches during his football game.
Paul lost 12 yards on his first catch.
Paul gained 26 yards on his second catch.
We have to find the total yards Paul gain from both the catches;
Here,
Total gained yards by Paul = Gained yards by Paul - Lost yards by Paul
Total gained yards by Paul = 26 - 12
Total gained yards by Paul = 14 yards
That is,
Paul gained a total of 14 yards from both the catches during his football game.
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Choose the equation that represents the line that passes through the point (6, -3) and has a slope of. 1/2
y-2x+6
y-1x-6
y=2x-3
y=x+3
Answer:
The line meeting the criteria is y = (1/2)x + 6 does not match any of the answer options.
Step-by-step explanation:
Let's use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0). We are given the slope, (1/2), so let's put that into the equation:
y = (1/2)x + b
It is the value we choose for b that will make the line pass through point (6,-3). We can determine that value by entering the given point in the equation and then solving for b:
y = (1/2)x + b
-3 = (1/2)*(6) + b for point (6,-3)
-3 = 3 + b
b = -6
The full equation is thus y = (1/2)x + 6
See the attached graph.
===
The `list of options doesn't have an equation that matches this conclusion. The first two aren't even equations. Assuming for the moment they are mistyped and should have an "=" sign after the y, we will change the list as follows:
Original New
y-2x+6 y=2x+6
y-1x-6 y=1x-6
y=2x-3 y=2x-3
y=x+3 y=x+3
The slopes are either +1 or +2. None have the required slope of (1/2)
What is the answer to this question?
We get the values when x is -8 y is 62, when y is -73 x is 7 and when x is 3 y is -37 for the linear equation y=-9x-10.
Given that,
The linear equation is y=-9x-10.
We have to fill the table given in the question.
First,
Taking x value is -8
We get y value as,
y=-9(-8)-10 (multiply -9 and -8)
y=72-10 (Subtracting 72 and 10)
y=62
When x is -8 y is 62.
Taking y value is -73
We get x value as,
-73=-9x-10
-73+10=-9x
-63=-9x
63=9x
x=63/9
x=7
When y is -73 x is 7.
Taking x value is 3.
We get y value as,
y=-9(3)-10
y=-27-10
y=-37
When x is 3 y is -37.
Therefore, We get the values when x is -8 y is 62, when y is -73 x is 7 and when x is 3 y is -37 for the linear equation y=-9x-10.
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Find the value of n+p-2q when n=p=q
The value of expression n + p - 2q when n = p = q is 0
In this question, we have been given an expression n+p-2q
We need to find the value of given expression when n=p=q
Consider given expression,
n + p - 2q
Substitute n = p
= p + p - 2q
= 2p - 2q
Now we substitute p = q in above expression,
= 2q - 2q
= 0
Therefore, the value of expression n + p - 2q when n = p = q is 0
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Raina wants to wallpaper the back wall of her bedroom. The wall is in the shape of a rectangle. Its length is 12 feet and its width is 11 feet. Suppose wallpaper costs $9 for each square foot. How much will wallpaper cost for the wall?
The sum of thrice a number and 5 is greater than or equal to the sum of twice a number and 1. Write down the inequality and solve it..
Answer:
May be helpful.
thx.......
lify.
(√-4)(4√-25) help me i dont get how to do this
Answer:
-40
Step-by-step explanation:
The Concept here is Complex Numbers
where [tex]\sqrt{-1}=i \ and \ i^{2} = -1[/tex]
Then [tex]\sqrt{-4}=\sqrt{4i^{2} } =\sqrt{(2i)^{2} } =2i[/tex]
Also [tex]\sqrt{-25}=\sqrt{25i^{2} } =\sqrt{(5i)^{2} } =5i[/tex]
Then [tex](\sqrt{-4} )(4\sqrt{-25} )=(2i)(4*5i)=40i^{2} =40*-1=-40[/tex]
Glad to Help:)
Find the length of X using law of cosines.
The length of the X using law of cosine is 34.30yd.
What is cosine?
In a right angled triangle, the cosine of an angle is:
The length of the adjacent side divided by the length of the hypotenuse.
The abbreviation is cos
cos(θ) = adjacent / hypotenuse
Consider that;
[tex]X = \sqrt{a^2+b^2-2abcosX}[/tex] (using law of cosine)
[tex]X = \sqrt{21^2+18^2-2\times 21\times 18\times cos(123 ^\circ)}[/tex]
[tex]X = \sqrt{441+324-756\times (-0.5446)}[/tex]
X = 34.30 yd
If A, B, and C are the measures of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite the corresponding angles, then the square of a side of the triangle is equal to the sum of the squares of the other two sides minus twice the product of the two sides and the cosine of the included angle.
[tex]c^2 = a^2+ b^2- 2abcos C[/tex]
We have to the value of X which is present on the side c,
so, from the above formula we modified for the X,
and the formula become,
[tex]X = \sqrt{a^2+b^2-2abcosX}[/tex](using law of cosine)
rest of the solutions are only calculation which is elaborated above which provide us the value of X = 34.30 yd.
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some answer?
4. Look at the functions that describe the profits of each business. Why do you think the a-value of the lawn care business is negative while the a-values of the dog walking and housesitting businesses are positive?
The a-values of the business are classified as follows:
Dog walking and house-sitting: positive because they are represented by increasing functions.Lawn care: negative because it is represented by a concave down parabola.How to obtain the a-value of a business?The a-value of a business depends on the behavior of the earning function for these business, as follows:
The a-value is positive if the function is increasing.The a-value is negative if the function has decreasing points.From the table given by the image at the end of the answer, for the lawn care business, a concave down parabola represents the situation, as the earnings start increasing but then during the 3rd month they start to decrease. Hence, the a-value of the business is negative.
For the dog walking and for the house-sitting business, the values are always increasing over the time interval of the table, hence the a-value of these two businesses is positive.
Missing InformationThe table is given by the image at the end of the answer.
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AB= 8x+2y
BC= 4x+18
encuentra AC
Answer:
Step-by-step explanation:
Thevalueof theAC segmentknown asthe AB and BC segmentsis:
AC = 12x + 2y + 18
What is a segment?
It is the distance or vector obtained from the sum of the differences of the coordinates of the ends of that segment.
AB = B - A
What are mathematical operations?
They are those such as addition, subtraction, multiplication and division, being the most basic and also have the roots, exponents, among others ...
Thesumis addition to one number to another.
Subtraction is subtractingone number from another.
Multiplicationis adding the same number as many times as the multiplier indicates.
Divisionis the decomposition or separation of one number from another.
What is the value of AC?
Assume that AC is the length of the segment containing AB and BC.
AC = AB + BC
Being;
AB= 8x + 2y
BC = 4x + 18
Replace
AC = 8x +2y + 4x + 18
AC = 12x + 2y + 18
if m angle 1 =3x +15 and m angle 2 = 6x+3 find x
Answer:
x=27 I think
Step-by-step explanation:
1 = 3x + 15
2 = 6x + 3
We can solve by putting both equations together.
Let's multiple the top equation by -2
-2(1 = 3x + 15)
-2 = -6x - 30
2 = 6x + 3
0=x - 27
27=x
Jorge ha 173 fih for hi dog led team that he want to divide into maller piece how many piece of fih would there be if jorge divided eachfih into thenth
If the fishes are divided to be in tenths, then the total pieces of fishes that would be available would be 1730
How to solve for the pieces of fishIt is assumed that Jorge has 173 fish that he intends to cut up into smaller portions for his dog sled team.
The amount of fish pieces that would remain if Jorge divided each fish into tenths must be determined.
We are aware that there are 10 pieces to every fish.
There are a total of 173 fish available for the dog.
The product of the number of fish that are available and the number of pieces that each fish is divided into results in the total number of fish.
173 * 10
= 1730 pieces of fish.
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Complete question
Jorge has 173 fish for his dog sled team that he wants to divide into smaller pieces. how many pieces of fish would there be if jorge divided each fish into tenths.
The cards in Bentley's hand have a value of −15.75 after the value of the cards in his original hand tripled. What was the value of the cards in his original hand? (give explination)
The value of the cards in Bentley's original hand given the value of the cards currently, is 25.
How to find the value of the cards?The value of the cards that are currently in Bentley's hands are worth $75. This amount is triple the value in this original hands.
Given that the value of cards now is triple the value in Bentley's original hands, the value in Bentley's original hands can be found by performing a division of 3 on the current hand:
= Current value / 3
= 75 / 3
= $25
In conclusion, the value of the cards in the original hand was $25.
Full question is:
The cards in Bentley's hand have a value of $75 after the value of the cards in his original hand tripled. What was the value of the cards in his original hand?
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