Made possible via methods. In light of this, 5, 6, 15, and 18 are in proportion. The same unit rates prove that.
Rates and proportions are they equivalent?A ratio, on the other hand, is the comparison of the sizes of two values, whereas a proportion is a part, share, or quantity in relation to an overall total. Each of the three measures has unique characteristics, and a rate is just one number divided by another.
The same units apply to proportions, or not?Due to the consistency of the units and their equivalent, each ratio compares the same units—inches and feet—and is therefore similar. Compare two ratios using the same units when using proportions.
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find the value of y
Answer:
y = 10 cm
Step-by-step explanation:
A = 12 · 5 / 2
A = 6 · 5 = 30 cm²
y = 30 · 2 / 6
y = 5 · 2
y = 10 cm
A vote for the Best Dancer of the Year was held last week. Patricio received 65% of the votes. A total of 80 people voted. How many votes did Patricio receive?
The number of Patricio votes is 52
How to determine the number of Patricio votes?From the question, we have the following parameters that can be used in our computation:
Number of people = 80
Proportion of votes = 65%
The number of Patricio votes is then calculated as
The number of Patricio votes = Proportion of votes * Number of people
Substitute the known values in the above equation, so, we have the following representation
The number of Patricio votes = 65% * 80
Evaluate
The number of Patricio votes = 52
Hence, the votes is 52
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match the vector fields f with the plots labeled i-iv. f(x, y) = y, x
The match of vector field f for f(x, y) = y, x is graph II .
We can say that some points for the given function are F(1,2)= (2,1) F(2,1) =(1,2) F(0,1) = (1,0) F(2,3) = (3,2) F(0,2)=(2,0) .
That means arrow heads should start with these points and this is shown accordingly in graph II only.
Therefore ,
option A matches with figure 2
option B matches with figure 1
option C matches with figure 3
option D matches with figure 4
A vector field is a way to visualize them as represented by a number of small arrows each having a magnitude or a direction.
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Gievn f(x)=3x+2, find f (-4)
Answer:
-10
Step-by-step explanation:
f(x)=3x+2
f(-4)=3(-4)+2
f(-4)=-12+2
f(-4)=-10
Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill was $60.
What is Emika’s monthly budget?
a coin is weighted so that the probability of getting heads is two-thirds. suppose you toss this coin 15 times. let x represent the number of heads. what are the mean and standard deviation of x?
When a coin is weighted, there is a two-thirds chance that it will land on its head. suppose you toss this coin 15 times. let x represent the number of heads. Mean = 10 and Standard deviation = 2.88
The mean of x, which represents the number of heads when the coin is tossed 15 times, is 10. This is because the probability of getting heads is two-thirds, meaning that two out of every three tosses will result in heads.We apply the following formula to determine the standard deviation:
Standard Deviation = √(p*q*n), where p is the probability of getting heads, q is the probability of getting tails, and n is the number of tosses. In this case, p = 2/3, q = 1/3, and n = 15, so the standard deviation of x is 2.88.
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g about anova assumptions, which of the following is wrong? group of answer choices samples are selected independently. each population is normally distributed. the variances in the groups are random. samples are randomly selected.
The Anova assumptions are each population is normally distributed and the Types of Assumptions. Brookfield (1995) classifies assumptions into 3 categories: paradigmatic, prescriptive, and causal.
ANOVA assumes that the information is usually distributed. The ANOVA additionally assumes homogeneity of variance, because of this that that the variance many of the organizations must be about equal. ANOVA additionally assumes that the observations are impartial of every other. is primarily based totally on the idea that the populations must have the identical variance and they may be usually distributed.
Also, the pattern must be decided on randomly and independently from the populations. The handiest assumption that isn't required to apply ANOVA is c) All samples are of the identical size.The factorial ANOVA has a numerous assumptions that want to be fulfilled – (1) c programming language information of the based variable, (2) normality, (3) homoscedasticity, and (4) no multicollinearity.
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determine the area of the region bounded by the given function, the x -axis, and the given vertical lines. the region lies above the x -axis. f ( x )
the region lies above the x -axis. f ( x )= x2 + x , x = −4, x = 2.The area of the region is (2^2 + 2) - (-4^2 + -4) = 26.
To determine the area of the region bounded by the given function, the x-axis, and the given vertical lines, we must first calculate the area of the region. To do this, we need to find the area of the region above the x-axis. To do this, we must calculate the area under the function between the given vertical lines. The area of the region is the area under the function f(x) = x2 + x between x = -4 and x = 2.
(2^2 + 2) - (-4^2 + -4)
= 26.
This can be calculated by solving the integral of the function from -4 to 2, which gives us the answer of 26.
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The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.(a) What proportion of the students scored at least 26 points on this test, rounded to five decimal places? (b)What is the 31 percentile of the distribution of test scores, rounded to three decimal places?
Using z-scores the answers are found to be, part(a) 0.02280 and part(b) = 22.980 points
What is z-score?Z-score is a value that describes the deviation of a value from the standard deviation. Z-score is the number of standard deviations a given data point lies above or below mean.
What is the formula for z-score?The formula for z-score is,
z = (x - µ) / a
where µ is the mean of data set and a is the standard deviation of the data
For part (a),
z = 26-22/2
z = 2.00
P(x>26) = 0.5 - 0.4772
P(x>26) = 0.02280
For part(b),
To find the value of x we first need to find the value of z-score. z-score at 100 - 31 - 50 = 19% = 0.19
At an area of approximately 0.19, the z-score is 0.49
Using above formula, 0.49 = (x -22)/2
x = 22.980
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Maria is going to make some flapjacks. Here are four of the ingredients that she will use. 175 g butter 175 g syrup 175 g sugar 330 g oats What percentage of these four ingredients is oats? Give your answer correct to 3 significant figures.
Answer:
330/(175 + 175 + 175 +330)
= 330/855
= 0.3859
= 38.59% of the ingredients is oats= 22/57 of the ingredients is oats
CREDITS:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-guys i need help tell me what 7 is divided by the sum of a number and 8
Answer:
Below
Step-by-step explanation:
x = a number
7 / (x+8)
if a die is rolled 4 times, what is the probability that a number greater than 3 is rolled at least 2 times? (round your answer to three decimal places.)
1.521 is the probability when the die is rolled at least two times which is greater than 3.
Probability: It is an event that depends upon the number of favorable outcomes and the total outcomes, and also defines the ratio of the number of favorable outcomes to the total outcomes in that sample space.
The general formula for probability is:
P(A)=n/N=outcomes in A/outcomes in sample space.
Here, a number greater than 3 we can take as 4 or 5 so the total number of dies rolled is 4, and the total number of the die is 6 which is rolled 2 times greater than 3.
[tex]P(A)=2-(\frac{5}{6} )^4\\\\P(A)=2-(\frac{625}{1296} )\\\\P(A)=\frac{2592-625}{1296} \\\\P(A)=\frac{1971}{1296} \\\\P(A)=1.5208333[/tex]
Thus, the total probability is 1.521
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What x values are not included in the domain of the quotient of two functions? You can choose more than 1 answer.
1. Any x -values that are in the domains of both functions.
2. Any x-values that are not in the domain of both functions.
3. Any x-values that result in the numerator being equal to 0.
4. Any x-values that result in the denominator being equal to 0.
The correct answer is 4. Any x-values that result in the denominator being equal to 0.
When finding the domain of the quotient of two functions, we need to consider the domains of both the numerator and the denominator. The domain of a function is the set of all possible input values for which the function is defined. For the quotient of two functions, this means that the domain is the set of all x-values that are in the domains of both the numerator and denominator.
However, there is one additional restriction on the domain of the quotient of two functions. The denominator of the quotient cannot be equal to 0, because division by 0 is undefined. Therefore, any x-values that result in the denominator being equal to 0 are not included in the domain of the quotient.
In summary, the x-values that are not included in the domain of the quotient of two functions are any x-values that result in the denominator being equal to 0.
evaluate the function: f(n)=n^2 + 3n; find f(-2)
Answer:
f(-2) = -2
Step-by-step explanation:
Step 1: Substitute -2 for the variable n.
f(-2) = (-2)^2 + 3(-2)
Step 2: Simplify the expression.
f(-2) = 4 - 6
Step 3: Evaluate the expression.
f(-2) = -2
A fish tank that holds 80 gallons of
water is 55% full.
How many more gallons are needed to fill
the tank?
Answer:
36 gals
Step-by-step explanation:
45% more is needed to be 100% full
45% is .45 in decimal
.45 * 80 = 36 gals
Given the equation a line y+9=-3(x- 4) Determine the characteristics of the line.
Answer:Isn't this cheating
Step-by-step explanation:
Please help meeeeee !!????!!!!
Answer: She fills 2 full boxes and has 3 animals left over.
Step-by-step explanation: To find how many full boxes she can fill, we can do 5 x 2, without going over. So, 5 x 2 is 10, so now we subtract 10 from 13 and get 3, so this explains that we that she can fill 2 FULL boxes, yet have 3 animals LEFT OVER. I hoped this helped!
Answer:
2 boxes can be filed completely with 3 stuffed animals left over.
Step-by-step explanation:
Take the number of stuffed animals (13) and dive that by the number that will fit in each box (2). The remainder is how many extra stuffed animals are left.
13 ÷ 2 = 5 remainder 3
Which of the following is equivalent to −3(2p − 4q)?
−5p − 7q
−5p + 12q
−6p − 4q
−6p + 12q
Answer:
-6p+12q
Step-by-step explanation:
−3(2p − 4q)
Distribute the -3
-3 * 2p -3 * -4q
-6p+12q
Answer:
[tex] \sf \: d) \: -6p + 12q [/tex]
Step-by-step explanation:
Now we have to,
→ simplify the given expression.
The expression is,
→ -3(2p - 4q)
Let's simplify the expression,
→ -3(2p - 4q)
→ -3(2p) - 3(-4q)
→ (-3 × 2)p - (3 × -4)q
→ -6p - (-12)q
→ -6p + 12q
Hence, answer is -6p + 12q.
Algebra 2 Questions that i need help with
The function rule for the functions f(x) and g(x) given by the table are;
f(x) = Log₁₀x
g(x) = 2ˣ
What is the function rule of the table?
1) In the first table of the function f(x), we see the coordinates as;
(10, 1), (100, 2), (1000, 3), (10000, 4), (100000, 5)
Thus, we see that;
Log 10 = 1
Log 100 = Log 10² = 2 Log 10 = 2
Log 1000 = Log 10³ = 3Log 10 = 3
Thus, the function rule is Log₁₀x
2) In the second table of the function g(x), we see the coordinates as;
(1, 2), (2, 4), (3, 8), (4, 16), (5, 32)
Thus, we see that;
2¹ = 2
2² = 4
2³ = 8
Thus, the function rule here is 2ˣ
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Simplify the expression.
-2.2+0.4f-14-6
Simplify your answer. Use integers or decimals for any numbers in the expression
After solving the given expression, the value of obtained for f is equal to 55.5.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.
As per the given information in the question,
The given expression is,
-2.2 + 0.4f - 14 - 6
-2.2 + 0.4f - 20
0.4f - 22.2
0.4f = 22.2
f = 22.2/0.4
f = 55.5
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Calculate the double integral.
(2x)/(1+xy) dA
R = [0, 2]
The double integral of (2x)/(1+xy)dA over the rectangular region R = [0, 2]×[0, 1] give an approximate value of 2.0044.
Therefore, the answer is 2.0044.
By double Riemann sum,
∫∫(2x)/(1+xy) dA ≈ ∑(i = 1 to m)∑(j = 1 to n)f(xij*⁻, yij*⁻)ΔA
R = [0, 2]×[0, 1], that is a = 0, b = 2, c = 0, d = 1
Dividing R into four squares with m = n = 2 and corners of each square chosen (1, 1), (1, 2), ( 2, 1) and (2, 2). So midpoint of the square is (0.5, 0.5), (0.5, 1.5), ( 1.5, 0.5) and (1.5, 1.5)
Δx = (b - a)/m = 1
Δy = (d - c)/ n = 0.5
ΔA = ΔxΔy = 0.5
∫∫(2x)/(1+xy) dA ≈ ∑(i = 1 to 2)∑(j = 1 to 2)f(xij*⁻, yij*⁻)ΔA
= ΔA × ( f(0.5, 0.5) + f(0.5, 1.5) + f( 1.5, 0.5) + f(1.5, 1.5))
= 0.5 × ( (2×0.5)/(1+0.5×0.5) + (2×0.5)/(1+0.5×1.5) + (2×1.5)/(1+1.5×0.5) + (2×1.5)/(1+1.5×1.5))
≈ 0.5 × 4.0088
= 2.0044
--The question is incomplete, answering to the question below--
"Calculate the double integral.
(2x)/(1+xy) dA
R = [0, 2]×[0, 1]"
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a washing machine can hold 3/4 kg of laundry in each load. if randy has . 6 kilograms of laundry, how many loads does he need to do? 5 6 7 d8
Randy needs 8 loads.
To find the answer on the question we have to follow the method of multiplication and division .
A washing machine can hold [tex]\frac{3}{4}[/tex] kg of laundry in each load.
[tex]\frac{3}{4}[/tex] kg of laundry is equal to 1 load.
[tex]\frac{3}{4}[/tex] kg of laundry = 1 load
1 kg of laundry = [tex]\frac{1 * 4}{3}[/tex] load ( following the method of division )
1 kg of laundry = [tex]\frac{4}{3}[/tex] load
Randy has 6kg of laundry.
So, 1kg of laundry i.e [tex]\frac{4}{3}[/tex] load is to be multiplied by 6.
6kg of laundry = [tex]\frac{4 * 6}{3}[/tex] load ( following the method of multiplication)
= 8 loads
Hence, Randy needs 8 loads.
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an online retailer determines that people click on a particular advertisement 2\%2%2, percent of the times it appears. let vvv be the number of times the advertisement appears to get the first person to click on it. assume each click is independent. find the probability that a person first clicks on the advertisement the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript time it appears. you may round your answer to the nearest hundredth.
The probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).
To find the probability that a person first clicks on the advertisement the 8th time it appears (vvv = 8), we can use the geometric probability formula:
[tex]P(X = k) = (1 - p)^{(k-1)}* p[/tex]
where:
P(X = k) is the probability of the event occurring on the kth trial,
p is the probability of success (clicking on the advertisement) on a single trial, which is 2% or 0.02 in decimal form,
k is the number of trials (number of times the advertisement appears) until the first success (first click).
In this case, k = 8 (the 8th time the advertisement appears) and p = 0.02.
[tex]P(X = 8) = (1 - 0.02)^{(8-1)} * 0.02\\P(X = 8) = (0.98)^7 * 0.02[/tex]
P(X = 8) ≈ 0.0177
So, the probability of the event that a person first clicks on the advertisement the 8th time it appears is approximately 0.0177 (rounded to the nearest hundredth).
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What i the value of x? (5 point) A right angle i hown divided into two part. The meaure of one part of the right angle i 30 degree. The meaure of the other part i 4x
The measure of the other part i 4x is 40degrees.
What is right angle measures?
Right angles may be found everywhere around us. The corners of a room, a book, a cube, windows, among other locations, all have right angles. The most typical right angles are those formed by a vertical and a horizontal line. However, right angles are also created when diagonal lines cross one other.
The words "right" and "correct" share the same origin, although "right angle" comes from the second meaning rather than the first. Ancient geometry defined a right angle as the intersection of two straight, or right, lines in relation to dimensional axes.
A right angle measures 90 degrees, so the part labeled 2x measures 90-10 = 80 degrees. If 2x is 80 degrees, x must be 40 degrees.
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2x2x2x3x3 = ?⁵
does this work or not?
Why?
The price of a venti vanilla bean Frappuccino from Starbucks is $4.45, but you have only $3 with you. Your friend is working and gets you a discount of 20%. How much does the drink cost with the discount? Do you have enough to buy the drink? How much money are you short?
The cost of the drink after discount is 3.56 dollars.
You don't have enough money to buy the drink.
You are short of 0.89 dollars.
How to find the cost of the drink?The price of a venti vanilla bean Frappuccino from Starbucks is $4.45, but you have only $3 with you. Your friend is working and gets you a discount of 20%.
The cost of the drink with discount can be calculated as follows:
amount discounted = 20% of 4.45
amount discounted = 20 / 100 × 4.45
amount discounted = 89 / 100
amount discounted = 0.89 dollars
Therefore,
cost of the drink after discount = 4.45 - 0.89
cost of the drink after discount = 3.56 dollars
Therefore, you don not have enough money to buy the drink.
You are short of 4.45 - 3.56 = 0.89 dollars.
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some friends are leaving a party in westminster to go home. one group takes a taxi uptown, traveling north at 35 miles per hour. the rest of the friends share another taxi, traveling south at 44 miles per hour. if the two taxis depart at the same time, how much time will pass before they are 3 miles apart?
Approximately it will take 2 minutes to pass before they are 3 miles apart.
The time can be defined as the ratio of distance covered by an object to a unit speed. Time refers to the progression of events.
The Formula of Time of a given body can be expressed as,
Time = Distance÷Speed
one group takes a taxi uptown, traveling north at 35 miles per hour
The rest of the friends share another taxi, traveling south at 44 miles per hour
Suppose X as a time before they are 3 miles apart
so forming the equations:
35x+44x=3
79x=3
x=3/79hours.
To convert into minutes multiply x by 60 because 1 hour=60 min
x=3/79*60
x=0.0379*60
x=2.278
x=2 minutes.
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find the z-score for the value 62, when the mean is 79 and the standard deviation is 4.
The z-score of the value 62 in the distribution is -4.25
How to determine the z-score of the value?From the question, the given parameters about the distribution are
Mean value of the set of data = 79
Standard deviation value of the set of data = 4
The actual data value = 62
The z-score of the data value is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the known values in the above equation, so, we have the following representation
z = (62 - 79)/4
Evaluate the difference
z = -17/4
Evaluate the quotient
z = -4.25
Hence, the z-score is -4.25
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the amount of a sum of money in 2 yrs and 5 yrs are rs 2800 and rs 3250 respectively. Find the sum
Answer: 6050
Step-by-step explanation: 2800 + 3250 = 6050
Answer:2500
Step-by-step explanation:
The Amount increases to 2800 after 2 years
it increases 3250 after 5 years
so , in 3 years it increased ( 3250-2800) = 450 rupees.
in 3 years it increased 450
so in 1 it increased 150
according to the problem the sum amounts to 2800 rupees
so in 2 years it increased (150*2)=
300 rupees ,
So the sum was (2800-300) =
2500 rupees
When viewed from the side, the spire on the top of a building forms an isosceles triangle m
Answer: When viewed from the side, the spire forms an isosceles triangle m, the area of the isosceles triangle is equal to 1/4b√4a²-b².
Step-by-step explanation:
What is isosceles triangle?
A triangle with two equal-length sides is said to be isosceles. The triangle's third side is referred to as the base, while the triangle's two equal sides are known as the legs. The triangle's legs are usually shorter than the base, which is usually the triangle's longest side.
To determine if the spire on top of a building forms an isosceles triangle when viewed from the side, we first need to define the three sides of the triangle. Let's call the two sides that are equal in length "s" and the third side "l".
Next, we need to determine if the triangle satisfies the definition of an isosceles triangle. The two sides "s" of the spire must therefore be of equal length for the spire to create an isosceles triangle.
To confirm this, we can measure the length of the sides "s" and compare them to each other. If they are equal in length, then the spire forms an isosceles triangle. If they are not equal in length, then the spire does not form an isosceles triangle.
For example, if the base of the triangle is 10 feet and the length of the two equal sides is 10 feet, then the triangle is isosceles. Therefore, the spire on the top of the building forms an isosceles triangle when viewed from the side.
Therefore, if the two sides "s" of the spire are equal in length, then the spire forms an isosceles triangle when viewed from the side.
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An isosceles triangle is a triangle with two sides of equal length and two equal angles.
What is isosceles triangle?
An isosceles triangle is a type of triangle that has two sides of equal length and two angles of equal measure. The two sides of equal length are the two legs of the triangle, while the third side is called the base. The angles opposite the two equal sides are equal in measure, while the angle opposite the base is the third angle. Isosceles triangles are classified according to the measure of their angles. An equilateral triangle is an isosceles triangle with all angles equal to 60°. An isosceles triangle with two angles equal to 45° is called an isosceles right triangle. An isosceles triangle with two angles equal to less than 45° is referred to as an acute isosceles triangle, while an isosceles triangle with two angles equal to more than 45° is referred to as an obtuse isosceles triangle. Isosceles triangles have many practical uses in engineering and architecture. For example, buildings and bridges often feature isosceles triangles in their roofs and arches in order to provide strength and stability.
When viewed from the side, the spire on the top of a building forms an isosceles triangle because it has two equal sides (the sides running up the spire) and two equal angles (the angles at the base of the spire).
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