The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .
It refers to the method of sampling , where the data or information is collected from a certain specified group of people , is referred to as quota sampling .
The method is helpful for marketing the goods and services of the company .
The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .
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the sides of a right-angled triangle are related like 3 : 7 and the height drawn on the hypotenuse is 42cm. calculate the projections of the sides on the hypotenuse
The 3 : 7 ratio of the leg lengths and the 42 cm length of the hypotenuse side using Pythagorean theorem, gives the lengths of the sides (the legs of the right triangle) as follows;
[tex]147 \cdot \sqrt{ \frac{2}{29} } [/tex] and [tex] 63 \cdot \sqrt{ \frac{2}{29} }[/tex]
What is Pythagorean theorem?Pythagorean theorem states the square that has the hypotenuse of a right triangle as its side length is equal in area to the sum of the areas of the two squares formed by legs of the right triangle.
Given;
The possible given parameters are;
The ratio of the length of the sides (the legs) of the triangle is 3 : 7
The length of the hypotenuse side = 42 cm
Required: The lengths of the other two sides of the triangle
Solution;
The lengths of the two sides are found as follows;
Let a and b represent the lengths of the legs of the right triangle, according to Pythagorean theorem, we have;
a² + b² = 42²
The ratio of the leg lengths gives;
a/b = 3/7
Therefore;
a = (3/7)•b
Which gives;
((3/7)•b)² + b² = 42²
b²•((3/7)² + 1) = 42²
b = 42²/(((3/7)² + 1)) = 42²×(58/49)
[tex]b = 147 \cdot \sqrt{ \frac{2}{29} } [/tex]
Which gives;
[tex]a =\frac{3}{7} \times 147 \cdot \sqrt{ \frac{2}{29} }= 63 \cdot \sqrt{ \frac{2}{29} }[/tex]
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given that 133 base n = 43base 10, find the value of n
Answer:
n = 5
Step-by-step explanation:
Any 3-digit number to the base n will have its rightmost digit have a place value of n⁰, its next rightmost digit a place value of n¹ and the leftmost digit will have a place value of n²
This means 133can be represented as follows
n² n¹ n⁰
1 3 3
The actual value in terms of a base of 10
= 3 x n⁰ + 3 x n¹ + 1 x n²
= 3 x 1 + 3 x n + 1 x n² (n⁰ = 1 and n¹ = n)
= 3 + 3n + 1n²
Since we are given the information that 133ₙ = 43₁₀
3 + 3n + 1n² = 43
subtract 3 from both sides
3n + 1n² = 40
Rewrite as
n² + 3n = 40
Factoring n on the left side=>
n(n + 3) = 40
If we look at the factors of 40:
1 x 40
2 x 20
4 x 10
5 x 8
5 and 8 satisfy the condition n(n + 3) = 40
So n = 5
My truck loses 3 gallons of gas for every mile. What integer represents the change in gas after 7 miles
Answer:
21
Step-by-step explanation:
If it loses 3 gallons every mile, then multiply it by 7.
3*7 = 21
Another way to solve this is by using linear equations
y=3x
replace x with 7 and y would be equal to 21
7) A plane which can fly 550 mph in still air flies for 3 hours against a wind and for 2 hours with the
same wind. The total distance it covers is 2725 miles. Find the rate of the wind.
Answer:
25 mph
Hope this helps! :)
Suppose you started a savings account when you were 5 years old with $100, but you never
added any more money to it. How much money is in your savings account now if you were
getting 3% interest compounded quarterly?
Round your amount in your account to the nearest cent.
Answer: no idea
Step-by-step explanation:
A trail mix recipe calls for 1 cup of nuts for every 2 cups of granola. If you want to make 12 cups of trail mix, how many cups of granola will you need? Use a tape diagram to help organize your thinking.(1 point)
cups.
PLEASE HELP ITS DUE IN 30 MINUTES!! IM GIVING TEN POINTS AWAY
Answer:
8 cups
Step-by-step explanation:
Given a recipe for trail mix that calls for 1 cup of nuts for each 2 cups of granola, you want to know the number of cups of granola required for 12 cups of trail mix.
FractionThe fraction of the total volume of trail mix that is granola is ...
granola / (trail mix) = granola / (nuts + granola)
(2 cups)/(1 cup +2 cups) = 2/3
Applied to the quantity 12 cups of trail mix, we find the volume of granola to be ...
granola = (2/3)×(12 cups) = 8 cups
You need 8 cups of granola for 12 cups of trail mix.
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Four different positive integers are to be chosen so that they have a mean of 2017.
What is the smallest possible range of the chosen integers?
The smallest possible range of the chosen integers is; 2015
What is the smallest possible Integer?First of all, the range of a set of numbers is the difference between the largest and smallest numbers in the set.
The smallest range of a set of four different positive integers is 3. This occurs when the integers are consecutive, and only in this case. We first show that we cannot have four consecutive integers
with a mean of 2017.
Assume, to the contrary, that n is a positive integer such that the consecutive integers n, n + 1, n + 2 and n + 3 have 2017 as their mean.
Thus;
[n + n + 1 + n + 2 + n + 3]/4 = 2017
4n + 6 = 2017 * 4
n = 2015.5
Since n is an integer, then this can't be true. However, with a little tweaking of this, we can tell that we can use 2015 as our least integer.
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Analyze the biconditional statement below and complete the instructions that follow.
A polygon is a hexagon if and only if it has six sides.
Write a definition based on the given biconditional.
A.
A polygon has six sides if and only if it is a hexagon.
B.
A polygon is a hexagon with six sides.
C.
A hexagon is a polygon with six sides.
D.
If a polygon is a hexagon, then it has six sides.
The definition based on the given biconditional is B. A polygon is a hexagon with six sides.
What is a biconditional statement?A conditional statement combined with its opposite is known as a biconditional statement. As a result, one conditional is only true if and when the other is also true. It frequently employs the phrase "if and only if" or the abbreviation "if." It serves as a reminder that the conditional must be true in both directions by using the double arrow.
The biconditional statement is that the polygon is a hexagon if and only if it has six sides.
Therefore, the correct option that illustrates this is B.
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i need help with this, thanks
Can someone please help me with A & B ASAP.
A: To make it more pumpkin-y, Pumpkin Puree or Pumpkin Spice. To make it less pumpkin-y, Banana, milk, or yogurt.
Write the following number in standard decimal form. eleven and seventy-eight hundredths
Answer: 11.78
Step-by-step explanation: So 11 would be your number before the decimal ( and stands for the decimal point ) then 78 would go after the decimal point.
Hope this helped!!!
5. suppose f is continuously complex differentiable on ω, and t ⊂ ω is a triangle whose interior is also contained in ω. apply green’s theorem to show that ???? this provides a proof of goursat’s theorem under the additional assumption that f′ is continuous.
The most appropriate choice for Green's Theorem, Cauchy Riemann Equation and Cauchy Goursat Theorem will be given by-
Cauchy Goursat Theorem has been proved using Green's Theorem-
What is Green's Theorem, Cauchy Riemann Equation and Cauchy Goursat Theorem?
Green's Theorem
Let C be a positively oriented, piecewise smooth, simple closed curve in a plane, and let D be the region bounded by C. Then
Green's Theorem states that
[tex]\int_c (Mdx + Ndy)=\int_D(M_x - N_y)dxdy[/tex]
M and N are functions of x and y
Cauchy Goursat Theorem
If a function f is analytic at all points interior to and on a simple closed contour C, then
[tex]\int_c f(z) dz = 0[/tex]
Cauchy Riemann Equation
If [tex]f(z)=u(x,y) + i v(x,y)[/tex] is analytic at z = x + iy then Cauchy Riemann Equation states that
[tex]u_x = v_y, u_y = -v_x[/tex]
Here,
Let [tex]f(z) = U(x,y) + iV(x,y)[/tex]
[tex]U, V, x, y[/tex] are continuous
[tex]f(z)dz = (U + i V)(dx + i dy)[/tex]
[tex]f(z) dz = (U dx - Vdy)+i(Vdx + Udy)[/tex]
[tex]\int_c f(z) dz = \int_c(U dx - Vdy)+i\int_c(Vdx + Udy)[/tex], C is the curve
By Green's Theorem,
[tex]\int_c f(z)dz = \int_D(U_ydydx - V_xdxdy)+i\int_D(U_xdxdy + V_ydydx)[/tex], D is the surface
[tex]\int_c f(z)dz = \int_D(-U_y - V_x)dxdy+i\int_D(U_x - V_y)dxdy[/tex][tex]\int_c f(z)dz = \int_D(V_x - V_x)dxdy+i\int_D(U_x - U_x)dxdy[/tex]
Since [tex]f'[/tex] is continuous, [tex]f[/tex] is analytic
So [tex]f[/tex] satisfies Cauchy Riemann equation
[tex]U_x = V_y, U_y = -V_x[/tex]
So,
[tex]\int_c f(z)dz = \int_D(V_x - V_x)dxdy+i\int_D(U_x - U_x)dxdy[/tex]
[tex]\int_c f(z)dz = 0[/tex]
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Complete Question
Suppose f is continuously complex differentiable on Ω , and T⊂Ω is a triangle whose interior is also contained in Ω . Apply Green's theorem to show that
[tex]\int_T[/tex] f(z)dz=0
This provides a proof of goursat’s theorem under the additional assumption that f′ is continuous.
.
Ava is hiking a section of the Citrus Hiking Trail in Withlacoochee State Forest.
Ava packs trajl mix and grapes for snacks. The trail mix provides 5 calories per
ounce and the grapes provide 60 calories. The function C(x) = 5x + 60 where x is
the number of ounces of trail mix Ava eats and C is the total number of calories
she consumes. Ava does not want to consume more than 115 calories. 1. Write the range of the function c(x)= 5x+ 60 using inequalities
2. Determine the x intercept
3. Determine the y intercept
Answer:
Step-by-step explanation:
[tex]144 < n > 225[/tex]
What can you say about √N?
How do you write 3.5 as a percentage? Write your answer using a percent sign (%).
Answer:
350%
Step-by-step explanation:
1) To convert a decimal to a percentage multiply the given decimal by 100. So,
3.5 x 100 = 350
2) 350% is the final answer
The correlation coefficient (r) between the number of volunteers x and the number
of bags of trash collected y is 0.775.
What percent of the variation in the number of bags of trash collected can be
explained by differences in the number of volunteers? (Only state the number of the
percent in the answer blank, do not include the % in the answer blank, as the
computer already knows it is a percentage)
Differences with in number of volunteers can explain 60.01% of the variation in the amount of trash bags collected.
What is termed as the correlation coefficient?In a correlation analysis, the correlation coefficient is indeed the direct measurement that quantifies the strength of a linear relationship between two variables. In a correlation report, the coefficient is represented by the letter r.The coefficient of correlation (r) between both the number of volunteers x and also the number of trash bags collected y is 0.775.
To calculate the percentage of variation for one derivative contract by the other, simply square the correlation coefficient.
Here, r = 0.775
Squaring both side.
r² = 0.775²
r² = 0.600625
Simply multiply with 100 to get the percent.
r² = 60.0625
r² = 60.01
Thus, differences in the number of volunteers can explain 60.01% of the variation in the number of trash bags collected.
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1/4 of a certain number is removed from two fifth of that number if the result is 3 find the number
Answer:
2/5--1/4=3
Step-by-step explanation:
lcm is 20 =8-5=3/20=3 =20
1) How do rigid motions affect a given figure?
2) How are rotations represented as a function?
3) What is the relationship between a rotation and a rigid motion?
The remaining number of socks S a store has is modeled
by S(p) = 14 - 2p, where p is the number of pairs of
socks sold.
A. What do S(0) and S(6) represent?
Considering the numeric values of the function, we have that:
a) S(0) represents the remaining number of socks after 0 pairs are sold, and S(6) represents the remaining number of socks after 6 pairs are sold.
b) S(0) = 14, S(6) = 12.
c) The domain is not all real numbers, as the remaining number of socks cannot be negative, hence the domain is of 0 ≤ p ≤ 7.
How to find the numeric value of a function or of an expression?To find the numeric value of a function, we replace each instance of the variable in the function by the desired value.
For this problem, the function is given as follows:
S(p) = 14 - 2p.
In which S(p) is the remaining number of socks after p socks are sold.
Then the numeric values are:
S(0) = 14 - 2(0) = 14.S(6) = 14 - 2(6) = 2.The domain of a function is the set that contains all possible input values of the function. The remaining number of socks cannot be negative, hence the domain is of 0 ≤ p ≤ 7, and the graph is given at the end of the answer.
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a football team gained 2 3/4 yards and then lost 4 3/5 years on the next play. what is their total loss or gain of yards
If a football team gained [tex]2\frac{3}{4}[/tex] yards and then lost [tex]4\frac{3}{5}[/tex] yards on the next play, then their total loss is [tex]1\frac{17}{20}[/tex] yards
The total yards they gained in first match = [tex]2\frac{3}{4}[/tex] yards
Convert the mixed fraction to the simple fraction
[tex]2\frac{3}{4}[/tex] yards = 11/4 yards
The total yards they loss in second match = [tex]4\frac{3}{5}[/tex] yards
Convert the mixed fraction to the simple fraction
[tex]4\frac{3}{5}[/tex] yards = 23/5 yards
Total loss = The total yards they loss in second match- The total yards they gained in first match
Substitute the values in the equation
Total loss = 23/5 - 11/4
= 37/20 yards
Convert the simple fraction to the mixed fraction
37/20 yards = [tex]1\frac{17}{20}[/tex] yards
Hence, If a football team gained [tex]2\frac{3}{4}[/tex] yards and then lost [tex]4\frac{3}{5}[/tex] yards on the next play, then their total loss is [tex]1\frac{17}{20}[/tex] yards
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|x-1| +5 = 2
please gimme an answer
The Graph of the Equation |x-1| +5 = 2 is attached below
This is further explained below.
What is an Equation?Generally, An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value.
This is the most basic version of the definition of an equation in algebra. For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."
In conclusion, Please find attached the graph representing the equation "x-1 + 5 = 2."
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Angela ran 6 miles on, thursday,5 miles on fryday ,8 miles on saturdy,and 7 miles on sunday .use this informationto write a problem .what method will you use to salve your problem
The problem formed can be:
How many miles did Angela run this week?Which will be solved by doing mathematical operations.And the answer to the formed problem will be 26 miles.
What do we mean by mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The arithmetic operators perform the operations of addition, subtraction, multiplication, division, exponentiation, and modulus.So, using the above-given information about Angela, the problem that can be formed is:
How many miles did Angela run this week?To solve the problem, we will make a mathematical expression and then solve by mathematical operations as follows:
6 + 5 + 8 + 7 = Total distance26 miles = Total distanceTherefore, the problem formed can be:
How many miles did Angela run this week?Which will be solved by doing mathematical operations.And the answer to the formed problem will be 26 miles.
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If someone could help me with these two problems please. ( will mark brainliest if correct )
Answer:
Q14 = 45
Q15 = 1.98
Step-by-step explanation:
Q14.
2t = 90 degrees (right angle)
(1) t = 45 (90 ÷ 2)
45 + 8 = 53
45 - 12 = 33
Q15.
43s = 85 degrees
s = 1.98 (85 ÷ 43)
Neil puts 1500 pounds in the bank,at a rate of 3% compound interest.
Jerry puts 1500 pounds in the bank at a rate of r % simple interest.
After 5 years they have the same amount.
Find r
When Jerry puts 1500 pounds in the bank for 5 years then the rate of interest which makes the amount equal for Jerry and Neil is 1.85%.
Given Neil puts 1550 pounds in the bank, at a rate of 3% compound interest.
we need to calculate the total amount and interest at the end of 5 years.
P=1500 pounds
r = 3%
n = 5 years.
A = P(1+r/100)ⁿ
A = 1500(1+3/100)⁵
A = 1500(103/100)⁵
A = 1500 × 103/100 × 103/100 × 103/100
A = 3278181/2000
A = 1639.09
C.I = A-P
= 1639.09 - 1500
= 139.09
From the question, After 5 years they have the same amount.
Therefore we use the amount to calculate rate of interest as :
A = 1639.09
Simple interest = 1639.09 - 1500
= 139.09
Therefore, P = 1500
I = 139.09
t = 5 yrs
R = (100×I)/(P×t)
R = (100×139.09)/(1500×5)
R = 1.85%
Hence the rate of interest is 1.85%.
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At a particular restaurant, each onion ring has 40 calories and each chicken wing has 75 calories. A combination meal with onion rings and chicken wings has a total of 19 onion rings and chicken wings altogether and contains 970 calories. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of chicken wings in the combination meal. Define the variables that you use to write the system.
The equation that can be used to determine the number of onion rings and the number of chicken wings are x + y = 19 and 40x + 75y = 970.
How to calculate a proportionality?To verify a proportionality, that is, whether the quantities are proportional or not, we must make an equality of ratios. If these ratios are equal, the values will be proportional.
Let x represent the number of onion ring and y represent the number of chicken wings.A combination meal with onion rings and chicken wings has a total of 19, hence:
x + y = 19 (1)
Also, they altogether contained 970 calories:
40x + 75y = 970 (2)
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HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
hello!
your answer would be 258, because the y-intercept goes upwards.
:D have a good day <3
Can someone please help me with part c of this question? Thank you!
Answer:
48484
Step-by-step explanation:
47rururiuddjdjdjdjdjdjfifiififififfififiduududdidikddkkfdkdkdkdkdkdiriiritifififjfjfjfjfjrjrjrjfififirififjfjfifififififififififififififififififififififirirjjrririi
Make x the subject of m = n+x/p
When x is made the subject of m= n+ x/p,
x = mp - n
How is x made the subject of m = n +x/p ?
[tex]m = \frac{n+x}{p} \\\\mp = n+x\\\\mp -n = x\\\\x = mp-n[/tex]
How is x being made the subject?
To make x the subject of the formula or equation, the formula or equation must be rearranged so that we have a single x variable that is equivalent to the other variables in the formula.After rearranging the equation, each term containing x should be put on the same side of the equation.Just one x needs to be displayed at the conclusion to make it the subject.If x occurs in several terms, factorization might be necessary.The result of square rooting a number or variable as an inverse operation may be positive or negative.To learn more about making x the subject, refer:
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there is no prior information about the proportion of americans who support free trade in 2018. if we want to estimate a 97.5% confidence interval for the true proportion of americans who support free trade in 2018 with a 0.16 margin of error, how many randomly selected americans must be surveyed? answer: (round up your answer to nearest whole number)
The number of randomly selected Americans that must be surveyed is equal to 38 if the confidence interval is 97.5% with a 0.16 margin of error.
First, we calculate the critical value as follows;
a = (1 - 0.975) = 0.025 = 0.025 / 2 = 0.0125 = (1 - 0.0125) = 0.9875
Z - Critical value = NORM.S.INV (0.9875) = 1.96
As margin of error(ME) = 0.16
Therefore;
n = pq(Z²) / ME²
n = 0.5 × 0.5 (1.96)² / (0.16)²
n = 0.25 × 3.8416 / 0.0256
n = 0.9604 / 0.0256
n = 37.515
Rounding it to the nearest whole number;
n = 37.515 = 38
Hence 38 randomly selected Americans must be surveyed if the estimated confidence interval is 97.5% and the margin of error is 0.16.
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Your friend
writes the word sentence as an inequality. Is
your friend correct? Explain your reasoning.
Twice a number x is at most-24.
2xS-24
Answer:
Yes, the friend is correct.
Step-by-step explanation:
Twice a number of x is the same as saying multiply x by 2, which equals 2x. At most means 2x can only reach -24 at the very max, so solving for x will give you an answer that should only either be less than or equal to -24. This equation is an inequality because an inequality compares two values; in this case, the inequality is comparing 2x is at most -24, which is the same as saying 2x is less than or equal to -24.