Answer:
1.2 x 10^3 = 1,200
1.2 x 10^-2 = 0.012
1.2 x 10^2 = 120
1.2 x 10^-4 = 0.00012
Step-by-step explanation:
which equation has an infinite number of solutions?
The equation 8(x-9)=6(2x-12)-4x (option C) has an infinite number of solutions.
How to check for infinite number of solutions?Let's simplify the given equation and solve for x:
8(x-9) = 6(2x-12) - 4x
8x - 72 = 12x - 72 - 4x // Distributing 6
8x - 72 = 8x - 72 // Simplifying
We can see that both sides of the equation are equal, and there is no variable 'x' present. This means that the equation is an identity and it will hold true for any value of x.
Therefore, this equation has an infinite number of solutions, since any value of x will satisfy the equation.
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The diameter of a circle is 33 cm. Find its area to the nearest whole number.
Answer:
Step-by-step explanation:
The answer is not 855.3^2cm
*THESE ARE 4 SIMPLE GEOMETRY QUESTIONS!!*
Hello please help! I dont know a single thing about geometry and i need your help!
Very appreciated!
1. B.
2. C.
3. A.
4. C.
. Your roommate, Sarah, offered to buy groceries for
you and your other roommate. The total bill was
$82. She forgot to save the individual receipts but
remembered that your groceries were $0.05 cheaper
than half of her groceries, and that your other
roommate’s groceries were $2.10 more than your
groceries. How much was each of your share of the
groceries?
According to the given information, your share of the groceries was $39.95, your other roommate's share was $42.05, and Sarah's share was $0.
What is equation?
An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equals sign (=). The expressions on both sides of the equation can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
Let's call the amount of money Sarah spent on groceries "S".
Let's call the amount of money you spent on groceries "Y".
Let's call the amount of money your other roommate spent on groceries "O".
We know that:
S + Y + O = 82 (the total bill was $82)
Y = (S/2) - 0.05 (your groceries were $0.05 cheaper than half of Sarah's groceries)
O = Y + 2.10 (your other roommate's groceries were $2.10 more than your groceries)
We can use the second equation to substitute Y in the third equation:
O = Y + 2.10
O = (S/2) - 0.05 + 2.10
O = (S/2) + 2.05
We can now substitute both equations into the first equation:
S + Y + O = 82
S + ((S/2) - 0.05) + ((S/2) + 2.05) = 82
2S + 4 = 164
2S = 160
S = 80
Now that we know S, we can substitute it into the other equations to find Y and O:
Y = (S/2) - 0.05 = (80/2) - 0.05 = 39.95
O = Y + 2.10 = 39.95 + 2.10 = 42.05
So your share of the groceries was $39.95, your other roommate's share was $42.05, and Sarah's share was $80 - ($39.95 + $42.05) = $82 - $82 = $0.
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Help please! I need help with my hw!
The area of the shaded portion in the image of right triangle attached is solved to be 401.85 square millimeters
How to find the area of the shaded portionThe area of the shaded portion is solved by subtracting the area of the smaller triangle from the area of the bigger triangle
The area of a triangle is solved using the formula
= 0.5 base * height
Information given in the problem
base1 = 24.8
base2 = 15.9
height1 = 34.2 mm
height2 = 21.9
where
base1 and height1 are for the bigger triangle while
base2 and height2 is for smaller triangle
area of shaded portion = 0.5(24.8 * 34.2) - 0.5(15.9 * 21.9)
area of shaded portion = 418.95 - 174.105
area of shaded portion =401.845
area of shaded portion = 401.85 square millimeters
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Match the name of the sampling method descriptions given.
Situations:
1. ask all the students in your math class
2. choosing every 5th person on a list
3. pulling 50 names from a hat
4. randomly select two tables in the cafeteria and survey all the people at those two tables
5. dividing the population by Gender, and choosing 30 people of each gender
Sampling Method:
a. Simple Random
b. Convenience
c. Cluster
d. Systematic
e. Stratified
Enquire οf each pupil in yοur math class. --> b. Cοnvenience
chοοsing every 5th persοn οn a list --> d. Systematic
pulling 50 names frοm a hat --> a. Simple Randοm
Chοοse twο cafeteria tables at randοm, then pοll every patrοn at thοse twο tables. --> e. Stratified
selecting 30 individuals frοm each gender after dividing the pοpulatiοn intο genders. --> c. Cluster
What is the sampling methοd?Samples can be categοrized intο:
Cοnvenient: Sample taken frοm a pοοl that is easily accessible.
Put all the pοssibilities intο a hat, and draw sοme οf them at randοm.
Every kth cοmpοnent is taken in a systematic manner. If yοu wanted tο survey anything οn the street, fοr instance, yοu may interview every fifth persοn.
Cluster: This pοpulatiοn is brοken dοwn intο grοups, οr clusters, and each cluster's cοnstituents are surveyed.
Further divides the peοple intο several grοups. After that, thοugh, just a small percentage οf the grοup gets quizzed.
Thus, cοrrect match οf the sampling methοd are:
enquire οf each pupil in yοur math class. --> b. Cοnvenience
chοοsing every 5th persοn οn a list --> d. Systematic
pulling 50 names frοm a hat --> a. Simple Randοm
Chοοse twο cafeteria tables at randοm, then pοll every patrοn at thοse twο tables. --> e. Stratified
selecting 30 individuals frοm each gender after dividing the pοpulatiοn intο genders. --> c. Cluster
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How to write 0.03 + 8 + 0.2 + 50 in word form
Answer:
Fifty eight and twenty-three hundredths
Step-by-step explanation:
A triangle has the measures of two of its interior angles 48° and 65°, the third interior angle is unknown. What is the value of the exterior angle corresponding to the interior angle whose value is unknown?
a) 123°
b) 131°
c) 113°
d) 128°
e) 118°
Answer:
c) 113°
Step-by-step explanation:
Exterior angle is equal to the sum or the "remote" interior angles, that is the two angles that are not just next to the exterior angle. See image.
So the answer, quickly:
exterior angle
= 65° + 48°
= 113°
This is why:
(skip if you don't care)
The three angles in a triangle add up to 180° But also, a linear pair of angles also add up to 180°
So
x + 65° + 48° = 180°
x + y = 180°
y = 65° + 48°
See image.
determine the total amount of money that was utilized on fuel in june 2022.
The Consumer Price Index (CPI) for All Urban Consumers grew by 9.1%. The all items index rose 9.1%, the largest annual increase since the year that ended in November 1981.
What is Consumer Price Index?A consumer price index can be defined as a measure of a market basket of goods and services that households have purchased at a weighted average price. The measured CPI fluctuates(differs) to reflect changes in prices over time.
The CPI is one of the most widely(popularly) used indicators of inflation and deflation.
[tex]Annual\ CPI = \frac{Value\ of Basket\ in \ Current \Year}{Value\ of Basket\ in \ Prior\ Year} *100[/tex]
[tex]Inflation\ Rate = \frac{New \ CPI - Prior\ CPI}{Prior\ CPI} *100[/tex]
It is one of the most used methods for measuring inflation and reveals the state and trajectory of the economy.
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1
A number x is multiplied by 4, and 2
is added to it; the result is less than 82.
Find the range of values of x.
Based on the given statement, the range of values of x is the values that do not exceed 82
How to determine the range of values of x.From the question, we have the following parameters that can be used in our computation:
A number x is multiplied by 4, and 2 is added to it; the result is less than 82.Using the above as a guide, we have the following:
The output of the operation cannot exceed 82
The range is teh set of the output values
This means that the range is all set of real values less than or equal to 82
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Answer:
Step-by-step explanation
Need help on Q1 , by using substitution and need checks
Answer:
x = -3 ; y = 5
Step-by-step explanation:
Hey there!
This question has given us information about both of the given variables, x, and y
It tells us the y is equal to x plus 8 and that x plus y is equal to 2
If y is equal to x plus 8, we can
substitute the y value into the second equation
This will give us the following equation:
x + (x + 8) = 2
Now we simplify to solve for x
2x + 8 = 2
2x = -6
x = -3
Now that we know the x value, we can substitute that value into any one of the two equations given to solve for y
I'm going to use the first equation
Since we know that x is -3, we can now input it into the first equation and then simplify;
y = -3 + 8
y = 5
Answer:
[tex]\bf (-3,5)[/tex]Step-by-step explanation:
[tex]\tt y=x+8\\x+y=2[/tex]
Substitute y= x+8, into x + y=2:-
[tex]\tt x+y=2[/tex]
Let y = x+8
[tex]\tt x+x+8=2[/tex]
[tex]\tt 2x+8=2[/tex]
Solve for x :-
[tex]\tt 2x+8=2[/tex]
Subtract both sides by 8:-
[tex]\tt 2x+8-8=2-8[/tex]
[tex]\tt 2x=-6[/tex]
Divide both sides by 2:-
[tex]\tt \cfrac{2x}{2} =\cfrac{-6}{2}[/tex]
[tex]\boxed{\bf x=-3}[/tex]
Now, to solve for y, Substitute x = -3 into y=x+8:-
[tex]\tt y=x+8[/tex]
Let x = -3
[tex]\tt y=-3+8[/tex]
Simplify:-
*-3 + 8 = 5*
[tex]\boxed{ \bf y=5}[/tex]
Therefore, the solutions to the given system are x= -3 & y =5.
______________________
Hope this helps!
1. Write down the first five multiples of:
a) 3
b) 9
c) 14
Answer:
a)3,6,9,12,15
b)9,18,27,36,45
c)14,28,42,56,70
Step-by-step explanation:
multiply each of it with 1,2,3,4 and 5 :)
Answer:
3-3,6,9,12,15
9-9,18,27,36.45
14-14,28,42,56.70
Please I need assistance please help
The length of the diagonal of the television screen is equal to 56 cm to the nearest centimeter using the Pythagoras rule.
What is the Pythagoras rule?The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
we shall represent the length of the diagonal with the letter x so by Pythagoras rule we can write:
x² = 34² + 45²
x² = 1156 + 2025
x² = 3181
x = √3181 {take square root of both sides}
x = 56.4004
Therefore, the length of the diagonal of the television screen is equal to 56 cm to the nearest centimeter using the Pythagoras rule.
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Kids under 16 must be accompanied by an adult. Which inequality describes the age, a, of a kid accompanied?
Group of answer choices
x ≤ 16
x < 16
x > 16
x ≥ 16
Answer:
x < 16
Step-by-step explanation:
if 8 cookies are shared between 4 people how many cookies would each person get
2
you divide 8 with 4 and the answer is 2
Write an equation of the line that passes through a pair of points:
ú
T
-3 -2 -1
a.
y=x+3
b. y=x-3
5.
4+
3+
2+
1+
7
-1
-2+
-3
4
1 2,
3
5 X
c.
d.
y = -x + 2
y = -x-2
The equation of the given line is expressed as:
y = x - 3
What is the equation of the line?The formula for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The formula for the equation of a line between two coordinates is:
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
The pair of coordinate points marked are:
(4, 1) and (5, 2)
Thus, the equation of the line is:
(y - 1)/(x - 4) = (2 - 1)/(5 - 4)
y - 1 = x - 4
y = x - 3
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Below is the relative-frequency table of the probability distribution for the discrete random variable X, with X = "the number of cars owned by families in New York."
x P(X = x)
0 0.03
1 0.31
2 0.43
3 0.14
4 0.09
If the expected value is 1.95, what is the standard deviation?
0.93
0.99
0.96
Answer: To calculate the standard deviation of a discrete random variable, we need to know the expected value and the variance. The variance of a discrete random variable X is given by:
Var(X) = Σ [ (x - E(X))^2 * P(X = x) ]
where the summation is taken over all possible values of X, and E(X) is the expected value of X.
We are given that the expected value of X is 1.95. Using the formula for the variance and the probabilities given in the table, we can calculate the variance as follows:
Var(X) = (0 - 1.95)^2 * 0.03 + (1 - 1.95)^2 * 0.31 + (2 - 1.95)^2 * 0.43 + (3 - 1.95)^2 * 0.14 + (4 - 1.95)^2 * 0.09
Var(X) = 1.1429
To find the standard deviation, we take the square root of the variance:
SD(X) = sqrt(Var(X))
SD(X) = sqrt(1.1429)
SD(X) ≈ 1.07
Therefore, the standard deviation of the number of cars owned by families in New York is approximately 1.07. None of the options given match this value exactly, but 0.99 is the closest.
Step-by-step explanation:
A smart tablet manufacturer test 1 out of every 25screens for flaws out of 125 tablets tested 2 had defective screens how many defective screens should the manufacturer expect out of 45000 smart tablets
Answer:
720
Explanation:
[tex]2:125[/tex]
[tex]x:45000[/tex]
to go from 125 to 45000 we need to multiply by 360
that's why we will multiply 2 with 360 to balance both ratios
when we do that we get 720
2:125
[tex]\bold{720:45000}[/tex]
Answer:
720
Step-by-step explanation:
determine the length of a plot of land 16 m wide and whose area is 336 m².
Answer:
21
Step-by-step explanation:
The equation to find the area of a space is length x width. Divide the total area by the width to find the length.
To use the method of triangulation you need measurement from at least three locations
The given statement is false. The solution has been obtained by using the concept of triangulation.
What is triangulation?
Based on the principles of trigonometry, triangulation is a technique used to locate a fixed point. According to these principles, it is possible to compute the other two sides and angle of a triangle if just one side and two angles of the triangle are known.
We are given a statement that to use the method of triangulation you need measurement from at least three locations.
The statement is false because for this, we need only two points.
Hence, the given statement is false.
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Question: To use the method of triangulation, you need measurements from at least three other locations.
A.True
B.False
Which two consecutive numbers that this number comes between? 2 3/10 + 4 1/2
Two consecutive number between [tex]2 \frac{3}{10}[/tex] and [tex]4 \frac{1}{2}$[/tex] are 3 and 4.
What is a Composite Number?Composite number are those number which follow a particular sequence whether it is normal, even, odd or any other sequence. AP) is the best method to identify whether the number are consecutive or not.
So here, we can write as [tex]\frac{23}{10}=2.3[/t[/tex] ex] and we can write [tex]\frac{1}{2}[/tex] as [tex]frac| {9}{2}=4.5[/tex]
So, two composite number are 3 and 4.
Arithmetic Progression, (AP) A sequence can called in as AP when the difference between them are common which means the each previous is differ from its preceding one by a constant quantity.
[tex]a_n=a_1+(n-1) * d[/tex] where, [tex]a_1=[/tex] first termed= common difference [tex]a_n=[/tex] term in the sequence
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I need help with question I’m stuck on trying to figure out what a b and C’s angles are if it’s obtuse reflex acute and etc
Answer:
[tex]\measuredangle \textsf{ BCA is Actue.}[/tex]
[tex]\measuredangle \textsf{ CAB is Actue.}[/tex]
[tex]\measuredangle \textsf{ ABC is Right}.[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked what type of angles are provided.}[/tex]
[tex]\textsf{First, the question is asking for the \underline{measure}, which \underline{affects} the types of angles.}[/tex]
[tex]\textsf{This Triangle is a \underline{Right Triangle}, according to the \underline{Angle Markings}.}[/tex]
[tex]\textsf{One angle must be \underline{Right}, and that angle is} \ \boxed{ \measuredangle \textsf{ABC.}}[/tex]
[tex]\textsf{Becuase a Triangle adds up to \underline{180}}^{\circ}\textsf{, the other \underline{2} angles are \underline{less than 90}}^{\circ}.[/tex]
[tex]\textsf{Meaning, that} \ \boxed{\measuredangle \textsf{BCA}} \ \textsf{and} \ \boxed{\measuredangle \ \textsf{CAB}} \ \textsf{are \underline{Acute}.}[/tex]
[tex]\fbox{\textsf{Notes:}}[/tex]
[tex]\textsf{An Acute Angle is \underline{less} than 90}^{\circ}.[/tex]
[tex]\textsf{A Right Angle is \underline{equal} to 90}^{\circ}.[/tex]
[tex]\textsf{An Obtuse Angle is \underline{greater} than 90}^{\circ} \textsf{, but \underline{less} than 180}^{\circ}.[/tex]
[tex]\textsf{A Straight Angle is \underline{equal} to 180}^{\circ}.[/tex]
[tex]\textsf{A Reflex Angle is \underline{greater} to 180}^{\circ} \textsf{, but \underline{less} than 360}^{\circ}.[/tex]
Tina used 10 1/2 yards of yarn to make three yarn dolls. She used 3 1/2 yards of yarn for the first doll and 4 1/8yards for the second doll. How much yarn did Tina use for the third doll?
Answer:
To find how much yarn Tina used for the third doll, we can subtract the total amount of yarn used for the first two dolls from the total amount of yarn used.
Total amount of yarn used = 10 1/2 yards
Amount used for first doll = 3 1/2 yards
Amount used for second doll = 4 1/8 yards
To add 3 1/2 and 4 1/8, we need to find a common denominator:
3 1/2 = 7/2
4 1/8 = 33/8
Common denominator = 8
So, 3 1/2 = 28/8 and 4 1/8 = 33/8
Total amount used for first two dolls = 28/8 + 33/8 = 61/8
Subtracting the total amount used for the first two dolls from the total amount of yarn used:
10 1/2 - 61/8 = 84/8 - 61/8 = 23/8
Therefore, Tina used 23/8 yards of yarn for the third doll.
Which statement is in-correct
The statement "The Poisson distribution is always skewed right" is incorrect. Option A
What is Poisson distribution?The Poisson distribution is a discrete probability distribution that is used to model the probability of a given number of events occurring in a fixed interval of time or space, assuming that the events occur independently and at a constant rate.
The key features of the Poisson distribution include:
The distribution is discrete, meaning that it only takes on integer values.The distribution is defined by a single parameter, lambda (λ), which represents the expected number of events that will occur in the interval.The distribution is skewed right, with a long tail on the right-hand side.The mean and variance of the distribution are both equal to λ.The statement "The Poisson distribution is always skewed right" is incorrect.
The Poisson distribution can be skewed left, right, or approximately symmetric depending on the value of its parameter lambda. If lambda is small, the distribution will be skewed right. If lambda is large, the distribution will be approximately symmetric.
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Given the function of(x) = 2√x +√x³, find f'(3). Express your answer as a
single fraction in simplest radical form.
Answer:
Here is the answer for the following question:
Prove the following,in a semigroup:
By induction, we can conclude that in a semigroup, all products of x1, x2, ...... xn (in that order) are equal.
What is semigroup?A semigroup is a mathematical structure consisting of a set of elements along with an associative binary operation. The operation must be associative, meaning that the result of the operation is independent of the order of the operands.
We can prove this by induction. Let S be a semigroup and x1, x2, x3, ..., xn be the elements of S.
Base Case: When n = 2, then the product of x1 and x2 is x1x2.
Inductive Step: Assume that the product of x1, x2, ..., xn (in that order) is equal. Then we can prove that the product of x1, x2, ..., xn+1 (in that order) is also equal.
Let a be the product of x1, x2, ..., xn (in that order). Then a = x1x2x3....xn.
Now the product of x1, x2, ..., xn+1 (in that order) is a x xn+1. Since S is a semigroup, a x xn+1 = x1x2x3....xn x xn+1.
Since the product of x1, x2, ..., xn (in that order) is equal, a = x1x2x3....xn. Therefore, the product of x1, x2, ..., xn+1 (in that order) is also equal.
By induction, we can conclude that in a semigroup, all products of x1, x2, ...... xn (in that order) are equal.
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Cuantos minutos tardará en llenarse un depósito de 10.080 litros de capacidad si recibe agua por 3 grifos diferentes que arrojan 60 litros, 70 litros, 80 litros cada minuto?
Answer:
El tanque tardará aproximadamente 48 minutos en llenarse.
Step-by-step explanation:
Podemos encontrar la tasa de llenado del depósito sumando las tasas de flujo de los tres grifos:
Tasa de llenado = 60 + 70 + 80 = 210 litros/minuto
Luego, podemos usar la fórmula:
Tiempo = Volumen / Tasa de llenado
Donde el volumen es 10.080 litros y la tasa de llenado es 210 litros/minuto. Sustituyendo estos valores, obtenemos:
Tiempo = 10.080 / 210 ≈ 48 minutos
Por lo tanto, tardará alrededor de 48 minutos en llenarse el depósito de capacidad 10.080 litros si recibe agua por tres grifos diferentes que arrojan 60 litros, 70 litros, 80 litros cada minuto.
¡Espero que esto ayude! Lo siento si no es así. ¡Si necesitas más ayuda, pregúntame! :]
What is -2, 3 reflected over the y- axis?????
I NEED THE ANSWER ASAP
Answer:
2, 3
Step-by-step explanation:
When a point is reflected over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, if you reflect the point (-2, 3) over the y-axis, it will become (2, 3).
(Sorry, I tried to provide a picture but I could not.)
Which of the following represent dividing 72 by 6?
a. 72 ÷ 6
b. 7/2
c. 6÷72
d. 7/2
a and d
a and c
b and c
Cb and d
Answer:
Step-by-step explanation:
The answer to your question is a.
probability problem algebra 2 please help
The probability that the alumni member is male and did not attend graduate school is (546-206)/1214, or 83.09%.
What is probability?Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability is used to describe the likelihood of something happening and to make decisions when dealing with uncertain situations. Probability theory is the mathematics of predicting the outcomes of events when the exact outcome is unknown.
In conclusion, the probability that the alumni member is female is 8.55%, that the alumni member is male is 16.91%, that the alumni member is female and went on to graduate school is 8.55%, that the alumni member is male and went on to graduate school is 16.91%, that the alumni member is female and did not attend graduate school is 79.60%, and that the alumni member is male and did not attend graduate school is 83.09%.
The probability that the alumni member is female is 104/1214, or 8.55%. The probability that the alumni member is male is 206/1214, or 16.91%. The probability that the alumni member is female and went on to graduate school is 104/1214, or 8.55%. The probability that the alumni member is male and went on to graduate school is 206/1214, or 16.91%. Finally, the probability that the alumni member is female and did not attend graduate school is (668-104)/1214, or 79.60%.
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