Answer:
Profit = 20% = 360 Rs
So, Cost Price = 360 / 20 * 100 = 1800 Rs
And Sales Price = 1800 + 360 = 2160 Rs
Discount = 25% of marked price
So Sales Price = (100 - 25) % = 75 % of mark price.
=> 2160 = 75% of marked price.
=> marked price = 2160/75 * 100 = 2880 rs
Hope it helps you.
The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city. Use a graphing calculator to determine the quadratic regression equation for this data set. X 0 1 2 3 4 5 y 2. 82 3. 29 3. 46 3. 33 2. 88 2. 24 a. Y = negative 0. 143 x squared 0. 595 x 2. 830 c. Y = negative 0. 143 x squared 0. 595 x minus 2. 829 b. Y = 0. 143 x squared 0. 596 x 2. 829 d. Y = 0. 143 x squared minus 0. 595 x 2. 830.
The quadratic regression equation for this data set is \(\rm y=-0.143x^2+0.59x+2.82\\\).
What is the general form of a quadratic equation?
The general form of the quadratic equation is given by;
\(\rm ax^2+bx+c=0\)
Where; a, b, and c are the constants.
x; 0 1 2 3 4 5
y; 2.82 3. 29 3. 46 3. 33 2. 88 2. 24
From the table when the value of x = 0 the value of y is 2.82.
Then,
\(\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82\)
From the table when the value of x = 3 the value of y is 3.33.
\(\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\\)
From the table when the value of x = 5 the value of y is 2.24.
\(\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143\)
And the value of b is;
\(\rm b=3a\\\\b=3(-0.14)\\\\b=0.59\)
Therefore,
The quadratic regression equation for this data set is;
\(\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\\)
Hence, the quadratic regression equation for this data set is \(\rm y=-0.143x^2+0.59x+2.82\\\).
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Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
Please help me answer this
Answer:
Your answer would have to be Graph A
Step-by-step explanation:
Because it's properly set up
Circle two addends first. Write the sum.
3+3+4=
log base4 64=3 pls solve
Answer: 4^3 = 64
Step-by-step explanation:
Formula is \(a^c=b\)
\(4^3=64\)
Answer:
\({4}^{3} = 64 \\ \)
Step-by-step explanation:
\( log_{a}(c) = b \\ {a}^{b} = c\)
Use the formula.
\( log_{4}(64) = 3\)
\( {4}^{3} = 64\)
hope this helps
brainliest appreciated
good luck! have a nice day!
I NEED HELP ASAP!!!!!!! PLEASE HELP ME!!!!!!!!!
Answer:
a = 33 degrees, b = 147 degrees
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees, and to solve for the angle on the other side of 109 degrees is 71 degrees, so to solve for a, have 180 minus 71 and 76. Then the sum of 71 and 76 is angle b since its the result of a subtracting from 180.
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 64 beats per minute. The normal range of pulse rates of adults is typically given an 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the cam that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below a. Identify the null and attemative hypotheses. Choose the correct answer below OA H₂ 2 10 beats per minute He<10 beats per minute OB. He 10 beats per minute H: 10 beats per minute OC. He 10 beats per minute OD H10 beats per minute He 10 beats per minute H₁ #10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed) c. Find the P-value P-value- (Round to four decimal places as needed.) d. State the conclusion. evidence to warrant rejection of the claim that the standard deviation of men's puise alas H. because the P-value is is equal to 10 beats per minute. the level of significance.
The conclusion is that there is evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.
a. Null and alternative hypotheses Null hypothesis (H0): The standard deviation of men’s pulse rates is equal to 10 beats per minute.H0: σ = 10Alternative hypothesis (Ha): The standard deviation of men’s pulse rates is not equal to 10 beats per minute.
Ha: σ ≠ 10b. Calculation of test statistic The test statistic for the standard deviation is calculated as: \[χ^2 = \frac{(n-1)S^2}{σ^2}\]Where n = sample size, S = sample standard deviation, and σ = hypothesized standard deviation. Substituting the values, \[χ^2 = \frac{(36-1)(64)^2}{(10)^2}\] \[χ^2 = 1322.56\]
c. Calculation of P-value We can use the chi-square distribution table to find the P-value. At a significance level of 0.10 and 35 degrees of freedom (36-1), the critical values are 19.337 and 52.018.
Since the test statistic value (χ2) of 1322.56 is greater than 52.018, the P-value is less than 0.10. Therefore, we reject the null hypothesis and conclude that the standard deviation of men’s pulse rates is not equal to 10 beats per minute.
Since it is a two-tailed test, we divide the significance level by 2. The P-value for the test is P = 0.000. Therefore, the P-value is less than the level of significance (0.10).
d. Conclusion Since the P-value is less than the level of significance, we reject the null hypothesis. Hence, there is evidence to support the claim that the standard deviation of men's pulse rates is not equal to 10 beats per minute.
Therefore, the conclusion is that there is evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.
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1. A farmer goes to market with 100 dollars to
spend. Cows cost 10 dollars each, pigs cost 3
dollars each, and sheep cost half a dollar each.
The farmer buys from the cattle dealer, the pig
dealer, and the sheep dealer. She spends exactly
100 dollars and buys exactly 100 animals. How
many of each animal does she buy?
Let us suppose that the farmer buys x cows, y pigs and z sheep. The total cost of cows, pigs, and sheep bought by the farmer is
10x + 3y + 0.5z.
The total number of cows, pigs, and sheep bought by the farmer is
x + y + z.
Given that the farmer spent exactly 100 and bought exactly 100 animals, we can write two equations as follows.
:\($10x + $3y + $0.5z = $100 ---(1)x + y + z = 100 ---(2).\)
Multiplying equation (2) by 10 on both sides, we get
:10x + 10y + 10z = 1000
Subtracting this equation from equation (1), we get
:7y + 9.5z = 500
The LHS of the equation
7y + 9.5z = 500
is an odd number. This means that either y or z has to be odd and the other even. If y is even, then z has to be odd and vice versa. However, both
3y and 0.5z
are integers.
The solutions are:
x =
52,
y = 8,
z = 40 ---(Option A)
or = 48,
y = 16,
z = 36
x = 44,
y = 24,
z = 32x
= 40,
y = 32
z = 28
The farmer buys 52 cows, 8 pigs, and 40 sheep.
Hence,
the answer is 52 cows, 8 pigs, and 40 sheep.
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a. write an equation to represent the situation. b. how much is the taxi service for 150 miles driven?
a) The equation can be written as
\(y = 5 + 2x\)
where \(y\) is the fare, \(x\) is the miles driven and 5 is the fixed fare.
b) \(x = 150 \text{ miles}\)
\(\therefore y = 5+(2 \times 150)\)
\(\imples y = \$ 305\)
Therefore, To travel 150 miles the taxi service costs $305.
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Need ASAP. Answers are in the photo
Which compound inequality is represented by the graph?
What is the largest perfect square factor of 84
Answer
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Step-by-step explanation:
The largest perfect square factor of 84 is 4.
We know that, a factor is a number that perfectly divides the number with 0 as remainder.
The easiest way to find out factors of a number is by doing LCM.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
From all the above factors 4 is the only number that is a perfect square.
Therefore, the largest perfect square factor of 84 is 4.
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The base and height of a triangle are in the ratio 4: 5. If the area is 640 sq. cm, find the base and height.
Answer:
base = 32 cm , height = 40 cm
Step-by-step explanation:
ratio of base : height = 4 : 5 = 4x : 5x ( x is a multiplier )
The area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) bh ( b is the base and h the height ) , then
A = \(\frac{1}{2}\) × 4x × 5x = 2x × 5x = 10x²
given A = 640 , then
10x² = 640 ( divide both sides by 10 )
x² = 64 ( take square root of both sides )
x = \(\sqrt{64}\) = 8
Then
base = 4x = 4 × 8 = 32 cm
height = 5x = 5 × 8 = 40 cm
What is the surface area of a cylinder with a radius of 12 centimeters and a height of 7 centimeters? Use terms of pi.
I’ll give brainliest to whoever answers 1st! :)
Answer:
1432.57cm²
Step-by-step explanation:
Hello,can someone help me for that?
Answer is 5/19
Step-by-step explanation:
First of all, we need to add all the boys up, so all the black, brown, blonde, and red-haired boys up because that would help us compare a specific amount of hair-colored boys with the rest of the other hair-colored boys. There are 15 red-haired boys, 12 blonde-haired boys, 5 brown-haired boys, and 25-black haired boys. Adding them would equal 57.
Next, we take the group of red-haired boys (15 kids), and we compare them with the whole boys in the yearbook (including themselves as well). This gives us 15/57 kids, but we need to put it into the simplest form, so if we divide by 3 (Both of them are multiples of 3) we get 5/19.
I hope this helps.
Consider the following expressionEnter your search term-x+ 8x^2 - 9Step 2 of 2: Determine the degree and the leading coefficient of the polynomial.
The Solution:
Given the expression below:
\(-x+8x^2-9\)We are asked to determine the degree and the leading coefficient of the above polynomial.
The degree of the polynomial is the highest power of the independent variable.
\(\begin{gathered} -x+8x^2-9 \\ \text{ which can also be written as:} \\ 8x^2-x-9 \end{gathered}\)So,
The degree of the polynomial is 2.
The leading coefficient of the polynomial is the coefficient of the term with the highest power.
So,
The leading coefficient is 8.
A directional hypothesisrequires a paired t-test.tests whether error variance is smaller or larger than systematic variance.stipulates whether alpha or beta is most important.predicts which of two means will be larger.
Answer:D
Step-by-step explanation:D
please please help i’ll give brainliest tysm :)
Answer:
C) Between 9 and 13
Step-by-step explanation:
If 40% is 5 gallons, then 20% is 2.5 gallons
If you multiply both by 5, you get 12.5, which is between 9 and 13
Sorry for my weird way of math
Answer:
the tank can hold 12.5 gallons when it is full
Step-by-step explanation:
Let's assume tank can hold 'x' gallons when it is full we are given
The gas gauge in a car shows it has 40% of a tank of gas
So, gas in car is and we have the car has about 5 gallons so, we can set it equal
and then we can solve for x
Multiply both sides 5
we get
So, the tank can hold 12.5 gallons when it is full
Combine the like terms to create an equivalent expression. k + k A 2k B k C 3
plz help i am in 6 grade
Answer:
2k
k+k=2k
Step-by-step explanation:
Can someone help me with this problem
Answer:
About 110.6
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse.
\(\sin 19= \dfrac{36}{x} \\\\x=\dfrac{36}{\sin 19}\approx 110.6\)
Hope this helps!
need answered Asap!
Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the demand elastic, inelastic, or neither at the indicated values?
q = 404 - 0.2p^2
a. $22
b. $40
the value of E is less than 1, the demand is inelastic at $40. Hence, the demand is inelastic at both prices.
Given, demand function, q = 404 - 0.2p^2a) When p = $22, the demand q = 404 - 0.2(22)^2 = 169.6Therefore, at p = $22, q = 169.6.b) When p = $40, the demand q = 404 - 0.2(40)^2 = 164Therefore, at p = $40, q = 164
The elasticity of demand is given by the formula, E = (Δq/Δp) × (p/q)Here, Δp = 40 - 22 = 18Δq = 164 - 169.6 = -5.6Also, q = (404 - 0.2p^2)
Putting the values of p = $22, we getq = (404 - 0.2(22)^2) = 169.6
Therefore, the elasticity of demand isE = (Δq/Δp) × (p/q)= ((-5.6)/18) × (22/169.6)= -0.0392Since the value of E is less than 1, the demand is inelastic at $22.c)
Putting the values of p = $40, we getq = (404 - 0.2(40)^2) = 164
Therefore, the elasticity of demand isE = (Δq/Δp) × (p/q)= ((-5.6)/18) × (40/164)= -0.068
Since the value of E is less than 1, the demand is inelastic at $40. Hence, the demand is inelastic at both prices.
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find the ratio a:b, given 16a=3b
Answer:
3: 16
Step-by-step explanation:
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
If 16a = 3b, then:
a/b = 3/16 = 3: 16This means that the ratio a: b is equivalent to the ratio 3: 16.
Therefore, the ratio a: b is 3:16.
2.2 x 10 - 1.4 x 10
Answer:
8
Step-by-step explanation:
Answer: 8
2.2 x 10 - 1.4 x 10 multiply 2.2 x 10 and 1.4, after that subtract them and you will get your answer.
Step-by-step explanation:
2.2 x 10= 22
22 - 1.4 x 10
1.4 x 10= 14
22-14=
8
hope this helps
an infinity value is generated for an operation whose result is less than the smallest numeric value. T/F?
Hello !
An infinity value is generated for an operation whose result is less than the smallest numeric value.
it's true!
Look at the picture please
Answer:
3rd one
Step-by-step explanation:
Range goes to the y-values
The y values are 16 19 and 16
So the range will be (16,19)
b) Edward and Thomas share some money in the ratio 2:3 Thomas receives £243. How much does each Robert receive?
Answer:
£ 162
Step-by-step explanation:
Ratio:
Ratio of money = 2 : 3
Edward receives two parts of the money and Thomas receives three parts of the money.
Edward's share = 2x
Thomas share = 3x
Thomas receives £243 which is three parts. Find 'x'.
Thomas share = £ 243
3x = 243
Divide both sides by 3,
x = 243 ÷ 3
x = 81
Now, find Edward's share.
Edward's share = 2x
= 2*81
= £ 162
Answer:
£ 162
Step-by-step explanation:
Ratio:
Ratio of money = 2 : 3
Edward receives two parts of the money and Thomas receives three parts of the money.
Edward's share = 2x
Thomas share = 3x
Thomas receives £243 which is three parts. Find 'x'.
Thomas share = £ 243
3x = 243
Divide both sides by 3,
x = 243 ÷ 3
x = 81
Now, find Edward's share.
Edward's share = 2x
= 2*81
= £ 162
After the battle of Hastings in 1066, who was crowned king of England ?
Answer:
WILLIAM the CONQUEROR was crowned king of England after the battle of the Hastings
Step-by-step explanation:
I‘m super into history and remeber this fact about the battle.
Triangle KLM is similar to triangle NOP. Find the measure of side OP. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale
To find the measure of side OP, we need to use the concept of similarity between triangles.
When two triangles are similar, their corresponding sides are proportional. Let's denote the lengths of corresponding sides as follows:
KL = x
LM = y
NO = a
OP = b
Since triangles KLM and NOP are similar, we can set up a proportion using the corresponding sides:
KL / NO = LM / OP
Substituting the given values, we have:
x / a = y / b
To find the measure of side OP (b), we can cross-multiply and solve for b:
x * b = y * a
b = (y * a) / x
Therefore, the measure of side OP is given by (y * a) / x.
Please provide the lengths of sides KL, LM, and NO for a more specific calculation.
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A seagull flies 15 feet above the surface of the
ocean. The table shows the location of several
other objects in relation to the ocean's surface.
Sort the objects into the appropriate bins by their
distances to the ocean surface as compared to
the seagull's distance.
Submarine
Petican
Fish
Airplane
Farther from the Ocean's
Surface than the Seagull is
Shark
Object
Fish
Shark
Airplane
Submarine
Pelican
Closer to the Ocean's
Surface than the Seagull is
Location in
Comparison to the
Ocean's Surface (feet)
-6
-50
150
-218
9
Answer: A seagull flies 15 feet above the surface of the ocean. The table shows the location of several other objects in relation to the ocean’s surface. Object Location in Comparison to the Ocean’s
Step-by-step explanation: Surface:Fish: –6 feet Shark: –50 feet Airplane: 150 feet Submarine: –218 feetPelican: 9 feet
please help me with this ASAP
f(x) = 19/x^3
Answer:
Step-by-step explanation:
you said find the inverse right?
To find the inverse, interchange the variables and solve for y
-4(w+1) = -24−4(w+1)=−24minus, 4, left parenthesis, w, plus, 1, right parenthesis, equals, minus, 24 w =w=w, equals
Answer:
W=5
Step-by-step explanation:
-4(w+1}=-24
-4w-4=-24
-4w=-20
w=5
Answer:
its 5
Step-by-step explanation:
i got i correct ;)