She is most likely to get strawberry in her lunch today.
This problem can be understood if we know the concept of probability.
In probability we just have to calculate what are the chances of any favorable outcome to occur by dividing with the total number of outcomes.
Here, Joyce's dad packs her lunch with one Yoghurt everyday.
And there are 5 yoghurts in the refrigerator.
The probability of getting raspberry flavor = 1/5
The probability of getting a strawberry flavor is = 2/5
The probability of getting a blueberry flavor is = 1/5
The probability of getting vanilla flavor is = 1/5
So, the highest probability is of getting strawberry flavor.
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Any number besides 0 to the zero power evaluates to 0. True or false?
Answer:
True
Step-by-step explanation:
Because anything multiplied by 0 is equal to 0.
HELP ASAP
Write 8,350,000,000 in scientific notation.
8.35 × 10−9
8.35 × 109
835 × 10−7
835 × 107
[tex]8.35 \times {10}^{9} [/tex]
or
[tex]835 \times {10}^{7} [/tex]
I need help 3(1+3)*x(4+3)
A cement mixture calls for 3 pounds of cement for 3 gallons of water. What is the ratio of water to cement? Enter only the missing number.
Based on the calculations, the ratio of water to cement (W:C) is equal to 1:1.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
What is a proportion?A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Given the following data:
Quantity of cement = 3 pounds.Quantity of water = 3 gallons.Substituting the given parameters into the formula, we have;
Therefore, the ratio of water to cement is given by:
Ratio of water to cement, W:C = 3:3
Ratio of water to cement, W:C = 1:1.
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a travel agent arranges a payment plan for a client it required a down payment of 250 and 15 monthly payment of 582 what was the the total cost if the plan
Answer:
Step-by-step explanation:
it is Payment: Uniform Payment Series: (F/P, i, ∞) = ∞. (A/F, i, ∞) = 0.
Help asap! and don't answer for the points only if you know for sure it's right
Answer:
Child ticket: 12 dollars
Total price: 64 dollars
Step-by-step explanation(Child ticket price):
[tex]T = X(1 - P\%)\\T = 20(1 - 40\%)\\T = 20(1 - 0.4)\\T = 20(0.6)\\T = 12[/tex]
-----------------------------------------------------------------------------------------------------------
Step-by-step explanation(Total price):
[tex]T(12) * 2 + (20.00 * 2) = \$64[/tex]
Hope this helps.
Which classification of the real number system describes all of the following numbers listed below? 0.5, −13, 0.62, 3.14, 19%
Rational Numbers
Whole Numbers
Irrational Numbers
Integers
The numbers 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer
How to determine the classification of the real numbers?The numbers are given as:
0.5, −13, 0.62, 3.14, 19%
Numbers that can be represented as a fraction of two integers are rational numbers
The given numbers can be represented as a fraction of two integers
i.e.
0.5 = 5/10
0.62 = 62/100
3.14 = 314/100
19% = 19/100
This means that 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer (because it has no decimal point and it is negative)
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i only have one chance to get this right! please help.
Answer:
D. 2z^3/y
Step-by-step explanation:
xyz^2 = 2z^4
z(xyz) = z(2z^3)
xyz = 2z^3
xz = (2z^3)/y
5. Writing Write and solve a two-step
word problem that can be solved using
multiplication as one step.
Answer:
50!!
Step-by-step explanation:
The teacher buys enough pencils for 10 of her students. She gives each student 5 pencils. How many pencils did she give away altogether?
10 x 5 = 50
Answer:
write any one positive aspect of your religion
WHICH ONE IS IT
60PTS
Answer:
B. {-4, -2, 0, 2, 4}
Step-by-step explanation:
A definition for the word domain is the "input" of a function, also called the x values.
A definition for the word range is the "output" of a function, also called the y values.
With this knowledge, looking at the question, it is asking for the range of the relation, which means we are looking at the y values.
A is incorrect because it shows all values from -4 to 4, however some are not in the relation shown.
B is correct because it is showing all of the y values given in the table and no others.
C is incorrect because it is just showing the bounds of the relation, but not all values between.
D is incorrect because it is the domain of the function, or the x values.
Therefore, you were correct, and your answer is B.
Answer: B? Although its supposed to be {4, 2, 0, -2, -4}
19/20 divided by 20/30 = 19/20 x ?
A. -30/20
B. 30/20
C. 20/19
D. -20/19
Answer:
19/20*30/20=19/20 x
570/400=19/20 x
57*20=40*19x
1140=760x
x=30/20 or 3/2
How do I solve this?
there are 25 boxes of paper, each box has 789 pieces of paper. how many pieces of paper are there in all?
25 times 789 is 19725
the answer:19,725
I need help to solve this! Thank you
Answer:
f(2) = 3
Step-by-step explanation:
You want the value of f(2), given the graph of f(x).
Function valueThe value of the function for a given argument is found by locating the point on the graph with an x-coordinate equal to the argument. The y-coordinate of that point is the function value.
See the attachment.
The y-coordinate associated with the point that has an x-value of 2 is 3.
f(2) = 3
Leah wants to divide x by -5/12. What number should she multiply by x to find the answer?
Considering the algorithm to divide a number by a fraction, she must multiply x by -12/5 to find the answer of the division of x by -5/12.
What is the algorithm to divide a number by a fraction?To divide a number, or even another fraction, by a fraction, we need to multiply the numerator by the inverse of the denominator.
Taking the following division of fractions as an example, we have that:
(a/b)/(c/d).
The numerator is given by a/b.The denominator is given by c/d.The inverse of the denominator is d/c. (to find the inverse of a fraction, we exchange the numerator by the denominator).Hence the quotient is:
a/b x d/c.
For this problem, the division is:
x/(-5/12).
Hence:
The numerator is given by x.The denominator is given by -5/12.The inverse of the denominator is -12/5.Thus the quotient is given by:
-12x/5.
Meaning that she must multiply x by -12/5 to find the answer of the division of x by -5/12.
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36 hundredths divided by 9 tenths
Answer: The answer would be 0.4 or 4/10
Step-by-step explanation:
Which of these statements is true?
Answer: WX, ZY and WX and AB.
The 2nd one is correct.
Solve the following equation. 3x/7 -2 = 15Then place the correct number in the box provided.
Answer:
[tex]{ \tt{ \frac{3x}{7} - 2 = 15 }} \\ \\ { \tt{3x - (2 \times 7) = (15 \times 7)}} \\ { \tt{3x - 14 = 105}} \\ { \tt{3x = 119}} \\ { \tt{x = 39.67}} \\ { \tt{ 39\frac{2}{3}}}[/tex]
Answer:
[tex] \sf \large \: x = \frac{119}{3} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x/7−2=15
Step 1: Simplify both sides of the equation.
3x/7−2=15
3/7x+−2=15
3/7x−2=15
Step 2: Add 2 to both sides.
3/7x−2+2=15+2
3/7x=17
Step 3: Multiply both sides by 7/3.
(7/3)*(3/7x)=(7/3)*(17)
x=119/3
Determine whether the following ratios are equivalent. 3:4 and 12:9
Answer:
no
Step-by-step explanation:
Put them as fractions that have equivalent denominators.
3/4 :27/36 (multiply 9 to both numbers)
12/9 :48/36(multiply 4 to both numbers)
Since the numerators are not the same the answer is no.
If they were equal both numerator and denominator would be the same
if four out of every nine trick-or-treaters that came to your house last Halloween were dressed as Snow White, what proportion of trick-or-treaters were not dressed as Snow White?
The proportion of Trick-or-treaters not dressed as Snow white are 5/9.
A proportion may be defined as the way of representation of numbers or letters in the form of ratios which are made equal to each other. For example, if there are 1 mango and 2 bananas then the ratio is written as 1:2 that is for every 1 mango there are 2 bananas and there are 1/3 mangoes and 2/3 bananas.
Total number of Trick-or-treaters = 9
Total number of Trick-or-treaters dressed as Snow white = 4
Total number of Trick-or-treaters not dressed as Snow white = 9-4 = 5
Thus, Proportion of Trick-or-treaters not dressed as Snow white = 5/9
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Find the 8th term of the geometric sequence 6, 18, 54
Answer:
13122
Step-by-step explanation:
Term multiply by 3
First term is 6
Seven terms remain to be defined
then the 8th term is:
6 * 3⁷ = 6*2187
= 13122
Perforated for Easy
Between which two thousands
does 10,357 fall?
and
Use the number line below to
show how you would round 10,357
to the nearest thousand.
10,357 rounds to
please answer this question
let x be the real part of z
let y be the imaginary part of z
[tex]arg(x +i y - 1) = arg(x + iy + 3i) \\ arg(x - 1 + iy) = arg(x + (y + 3)i) \\ arctan( \frac{y}{x - 1} ) = arctan( \frac{y + 3}{x} ) \\ arctan( \frac{ (\frac{y}{x - 1} ) - ( \frac{y + 3}{x}) }{1 +( \frac{y}{x - 1} )( \frac{y + 3}{x} )} ) = 0 \\ arctan( \frac{ \frac{xy - (x - 1)(y + 3)}{x(x - 1)} }{ \frac{x(x - 1) + y(y + 3)}{x(x - 1)} } ) = 0[/tex]
[tex]arctan( \frac{xy - xy - 3x + y + 3}{x {}^{2} - x + y {}^{2} + 3y } ) = 0 \\ \frac{ - 3x + y + 3}{x {}^{2} - x + y {}^{2} + 3y} = tan(0) = 0 \\ - 3x + y + 3 = 0 \\ y = 3x - 3[/tex]
[tex] \frac{x - 1}{y} = \frac{x - 1}{3x - 3} = \frac{x - 1}{3(x - 1)} = \frac{1}{3} \\ [/tex]
Answer:
[tex]\dfrac{x-1}{y}=\dfrac{1}{3}[/tex]
Step-by-step explanation:
Sums of real and imaginary numbers are known as complex numbers:
[tex]\large\boxed{z = x + iy}[/tex]
(where x is the real number and iy is the imaginary number).
Complex numbers can be represented on an Argand diagram.
The x-axis is the real axis.The y-axis is the imaginary axis.z = x + iy is represented on the diagram by the point P(x, y).
[tex]\textsf{Argument of a complex number $= \boxed{\arg z}$}[/tex]
It is the angle between the positive real axis and the line joining that number to the origin on an Argand diagram, measured in an anticlockwise direction.
[tex]\textsf{For \;$z = x + iy$, \;the argument $\theta$ satisfies\; $\tan \theta = \dfrac{y}{x}$.}[/tex]
[tex]\textsf{Given: \quad $\arg (z-1)=\arg(z+3i)$}[/tex]
[tex]\textsf{If $z$ is a complex number then $z = x + iy$}.[/tex]
[tex]\textsf{Substitute this into the given equation}:[/tex]
[tex]\begin{aligned} \arg(z-1)&=\arg(z+3i)\\\implies \arg(x + iy - 1) &= \arg(x + iy + 3i)\\\implies \arg((x - 1) + iy) &= \arg(x + i(y + 3))\end{aligned}[/tex]
[tex]\textsf{If the argument $\theta$ satisfies\; $\tan \theta = \dfrac{y}{x} \implies \theta=\tan^{-1}\left(\dfrac{y}{x}\right)$}:[/tex]
[tex]\implies \tan^{-1}\left(\dfrac{y}{x-1}\right)=\tan^{-1}\left(\dfrac{y+3}{x}\right)[/tex]
[tex]\implies \tan^{-1}\left(\dfrac{y}{x-1}\right)-\tan^{-1}\left(\dfrac{y+3}{x}\right)=0[/tex]
[tex]\boxed{\begin{minipage}{6.2cm}\underline{Trigonometric identity}\\\\ $\tan^{-1}(a)-\tan^{-1}(b)=\tan^{-1}\left(\dfrac{a-b}{1+ab}\right)$\\ \end{minipage}}[/tex]
Use the arctan identity:
[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{y}{x-1}-\dfrac{y+3}{x}}{1+\left(\dfrac{y}{x-1}\right)\left(\dfrac{y+3}{x}\right)} \right)=0[/tex]
[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{xy-(y+3)(x-1)}{x(x-1)}}{1+\dfrac{y(y+3)}{x(x-1)}} \right)=0[/tex]
[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{xy-(y+3)(x-1)}{x(x-1)}}{\dfrac{x(x-1)+y(y+3)}{x(x-1)}} \right)=0[/tex]
[tex]\implies \tan^{-1}\left({\dfrac{xy-(y+3)(x-1)}{x(x-1)+y(y+3)} \right)=0[/tex]
[tex]\implies \tan^{-1}\left({\dfrac{xy-xy+y-3x+3}{x^2-x+y^2+3y} \right)=0[/tex]
[tex]\implies \tan^{-1}\left({\dfrac{y-3x+3}{x^2-x+y^2+3y} \right)=0[/tex]
[tex]\implies \dfrac{y-3x+3}{x^2-x+y^2+3y}=\tan(0)[/tex]
[tex]\implies \dfrac{y-3x+3}{x^2-x+y^2+3y}=0[/tex]
[tex]\implies y-3x+3=0[/tex]
[tex]\implies y=3x-3[/tex]
[tex]\textsf{Substitute\;\; $y=3x-3$ \;\;into \;\;$\dfrac{x-1}{y}$}:[/tex]
[tex]\begin{aligned}\implies \dfrac{x-1}{y}& =\dfrac{x-1}{3x-3}\\\\ & =\dfrac{x-1}{3(x-1)}\\\\ & =\dfrac{1}{3}\end{aligned}[/tex]
[tex]\textsf{Therefore, the value of\; $\dfrac{x-1}{y}$\; is\; $\dfrac{1}{3}$}.[/tex]
The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR RS: ST is equal to 6:3:1. If QT = 10, find RS.
The RS line segment will be 16 units long.
What exactly are collinear points?An axis is a line on which points are located, especially if that line is connected to a triangle or other geometric shape. Because a line is determined by two factors, two points are transparently collinear. If the points are in a straight line, they are collinear points.The collinear points are Q, R, S, and T.
The collinear's condition will then be determined:
QR + RS + ST = QTThe points Q, R, S, and T all lie on the same line segment in that order, so the QR:RS:ST ratio is 1:4:5. If QT = 40.
Let QR / 1 = RS / 4 = ST / 5 = xQR = xRS = 4xST = 5xThe value of the variable x will then be:
QR + RS + ST = QTx + 4x + 5x = 4010x = 40x = 4The length of the line segment RS will then become:
RS = 4xRS = 4 (4)RS = 16Therefore, the RS line segment will be 16 units long.
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The correct question is given below:
The points Q, R, S, and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.
which shows all the critical points for the inequality x^2-9x/x-5<0
The critical points are 0, 5 and 9 for the inequality (x² - 9 x) / (x - 5) < 0.
The critical point is a single value at which the function is not differentiable
The inequality is given as:
(x² - 9 x) / (x - 5) < 0.
Factorize the numerator
x (x - 9) / (x - 5) < 0.
Equate it to 0, we get that:
x (x - 9) = 0 or x - 5 = 0
x = 0 or x - 9 = 0 or x - 5 = 0
So, the critical points will be:
x = 0 or x = 9 or x = 5.
Therefore, the critical points are 0, 5 and 9 for the inequality (x² - 9 x) / (x - 5) < 0.
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Simplify (34)−1. I need to know this plsssss
Answer:
Step-by-step explanation:
dividing decimals
0.745/ 9.089
Answer:
0.745/9.089
Multiply numerator and denominator by 1000
=745/9089
easy points. need work shown
18. Callie's cat lost 4 1/2pounds before having
surgery. Two weeks after having surgery, her cat gained 2 7/8pounds. What was the total
change in weight of Callie's cat?
The total change in the weight of Callie's cat will be 1 5/8 pounds.
How to calculate the fraction?It should be noted that weight is a measurement of the force an acceleration field, particularly the gravitational field of the Earth near the surface, exerts on a particle or object.
From the information that was given, it should be noted that Callie's cat lost 4 1/2 pounds before having surgery and two weeks after having surgery, her cat gained 2 7/8 pounds.
Therefore, based on the information that was illustrated, it should be noted that the change in weight will be the difference between the weights given.
The change in weight will be:
= 4 1/2 pounds - 2 7/8 pounds
= 4 4/8 - 2 7/8 pounds.
= 1 5/8 pounds
Therefore, the change in weight of Callie's cat will be 1 5/8 pounds.
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You are working on a banner for Friday’s pep
rally. The length of the banner is 6 times the
width. The length is 18 feet.
l
GO WILDCATS! w
What is the width?
Answer in units of feet.
The width of the banner of the Friday’s pep rally is 3 feet.
How do you find the percentage of number?To calculate a percentage, divide the value by total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage.
Calculating a percentage means determining a portion of a whole in terms of 100. A percentage can be calculated in two ways:
The unitary method is used.By changing the fraction's denominator to 100.For the given expression;
The length of the Friday’s pep rally banner is 18 feet.
Let the width be 'b'.
The given condition is;
The length of the banner is made 6 times the width.
Then,
6 time the width = length
6×w = 18
w = 18/6
w = 3
Therefore, the width of the banner is found as 3 feet.
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