==========================================
Work Shown:
1 cm = 0.01 yards
66.75*(1 cm) = 66.75*(0.01 yards)
66.75 cm = 0.6675 yards
1 yard = 3 feet
0.6675*(1 yard) = 0.6675*(3 feet)
0.6675 yards = 2.0025 feet
1 foot = 12 inches
2.0025*(1 foot) = 2.0025*(12 inches)
2.0025 feet = 24.03 inches
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
y=1/4x-3 find the x and y intercepts
Given statement solution is :- The y-intercept is (0, -3).
The term "intercept" refers to the location where a line or curve crosses a graph's axis.
The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
To find the x-intercept, we set y = 0 and solve for x.
0 = (1/4)x - 3
Add 3 to both sides:
3 = (1/4)x
Multiply both sides by 4 to isolate x:
12 = x
So the x-intercept is (12, 0).
We set x = 0 and then solve for y to determine the y-intercept.
y = (1/4)(0) - 3
y = -3
So the y-intercept is (0, -3).
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6 / 3/5 ITS FOR A 20 PIONT
Answer:
10
Step-by-step explanation:
I'm guessing you meant this, but tell me if I'm wrong and I'll fix it
6 / (3/5)
6 * 5/3
30/3
=10
Hope it helped!
Answer:
thanks
Step-by-step explanation:
Find the intersection if possible: [-5,6) ∩ (5,9]. Express your answer in interval notation.
The intersection consists of the elements that are contained in all of the intervals.
(5,6) is the answer
Please let me know if im wrong!
3x(4 - 8) + 23 = 9x - 26
Answer:
x = 2.33
Step-by-step explanation:
3x(4 - 8) + 23 = 9x - 26
12x - 24x + 23 = 9x - 26
-12x + 23 = 9x - 26
-23 -23
---------------------------
-12x = 9x - 49
-9x -9x
----------------------------
-21x = -49
/-21 /-21
----------------------------
x = 2.333.....
Answer:
\(x=2.33\)
Step-by-step explanation:
\(3x\left(4-8\right)+23=9x-26\)
\(-12x+23=9x-26\)
\(-12x+23-23=9x-26-23\)
\(-12x=9x-49\)
\(-12x-9x=9x-49-9x\)
\(-21x=-49\)
\(\frac{-21x}{-21}=\frac{-49}{-21}\)
\(x=2.33\)
-4/3, 1, -4/5, -2/3, -4/7
what is the explicit rule for this sequence
The explicit rule for the sequence -4/3, 1, -4/5, -2/3, -4/7 is -4(2 + n)
Finding the explicit rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
-4/3, 1, -4/5, -2/3, -4/7
In the above sequence, we can see that 1 is added to the denomiator of the previous term to get the new term
Take for instance
2nd = -4/(3 + 1) = -1
3rd = -4/(3 + 2) = -4/5
4th = -4/(3 + 3) = -4/6 = -2/3
4th = -4/(3 + 7) = -4/7
Hence, the explicit rule is -4(2 + n)
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An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table for the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale.
Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.
How to complete the table of ratios?To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:
Box A
2 markers, 5 pencils.4 markers, 10 pencils.6 markers, 15 pencils.box B
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Solve for x, rounding to the nearest hundredth.
6•10*=1
Answer:
ur an idiot
Step-by-step explanation:
Find the measure of angle x. Round your answer to the nearest hundredth.
Answer:
28.07°
Step-by-step explanation:
use SohCahToa
in this case we use tan^-1 to get the angle x°
tan^-1(8/15)=28.07248694
to the nearest hundredth
=28.07°
Can anyone find the answer to this question
Answer:
C
Step-by-step explanation:
Each slope down in the graph represents a drink. so the first drink ended at 30 sec and the second one started at 60 sec so he waited 30 sec inbetween.
The area in square feet of a rectangular field is
x2 – 120x + 3500. The width, in feet, is x-50. What is the
length, in feet?
Answer:
Length in feet: x-70
Step-by-step explanation:
Use factorization to find the length
Area = X^2-120x+3500
Area= length x width.
Area= L x (x-50)= (x-___) (x-50)
To find L we know that in factoring the quadratic equation 50 x __ must be equal to 3500.
(x-70)(x-50) = x^2-120x+3500.
Please someone help!
this is adding polynomials.
h(x)+g(x)
h(x)=6x^2+4x^4+7x
\( {7x}^{4} + {12x}^{2} + 3x\)
Factorise fully 6x+8
Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.
Step 1: Factor out the GCF:
2(3x + 4)
Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.
Therefore, the fully factorized form of 6x + 8 is:
2(3x + 4)
Step-by-step explanation:)
The factored expression is:
↬ 2(3x + 4)Step-by-step explanation:
To factor the expression, look at its GCF (greatest common factor).
Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :
6x ÷ 2 + 8 ÷ 2The result is :
3x + 4And now the 2 goes outside the parenthesis:
2(3x + 4)Hence, the answer is 2(3x + 4).
The pet store had food priced at $10 and now is priced at $18. What is the percent markup?
Answer:
180%
Step-by-step explanation:
The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows:
Houses Sold (x) Probability P(x)
0 0.24
1 0.01
2 0.12
3 0.16
4 0.01
5 0.14
6 0.11
7 0.21
Find the mean of the given probability distribution.
A. μ = 3.35
B. μ = 3.50
C. μ = 3.60
D. μ = 3.40
Answer:
C. μ = 3.60
Step-by-step explanation:
Two tables have been attached to this response.
One of the tables contains the given data and distribution with two columns: Houses Sold and Probability
The other table contains the analysis of the data with additional columns: Frequency and Fx
=> The Frequency(F) column is derived from the product of the probability of each item in the Houses sold column and the total number of houses sold (which is 28). For example,
When the number of houses sold = 0
F = P(0) x Total number of houses sold
F = 0.24 x 28 = 6.72
When the number of houses sold = 1
F = P(1) x Total number of houses sold
F = 0.01 x 28 = 0.28
=> The Fx column is found by multiplying the Frequency column by the Houses Sold column. For example,
When the number of houses sold = 0
Fx = F * x
F = 6.72 x 0 = 0
Now to get the mean, μ we use the relation;
μ = ∑Fx / ∑F
Where;
∑Fx = summation of the items in the Fx column = 100.8
∑F = summation of the items in the Frequency column = 28
μ = 100.8 / 28
μ = 3.60
Therefore, the mean of the given probability distribution is 3.60
The mean of the discrete probability distribution is given by:
C. μ = 3.60
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, the table x - P(x) gives each outcome and their respective probabilities, hence, the mean is:
\(E(X) = 0(0.24) + 1(0.01) + 2(0.12) + 3(0.16) + 4(0.01) + 5(0.14) + 6(0.11) + 7(0.21) = 3.6\)
Hence option C is correct.
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The equation below describes a parabola. If a is negative, which way does the parabola open? x = ay^2?
A. Left
B. Up
C. Right
D. Down
The parabola x = ay^2 opens (a) left, if a is negative
How to interpret the parabola?The equation of the parabola is given as:
x = ay^2
From the question, we understand that a is negative
This means that
a < 0
When a is negative, then the parabola opens to the left
Hence, the parabola opens (a) left
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Mr. Ghale bought a secondhand scooter for Rs 1,40,000. He spent Rs 7,500 to repair it. At what price should he sell it to gain 10% on his total investment ?
Answer:
153250
Step-by-step explanation:
153250
You are ordering some video games online. They each cost $30. You got $75 for your
birthday to spend on these games. If you will be charged $10 for shipping and handling, how
many video games will you be able to purchase?
Answer:
2
Step-by-step explanation:
you have $75
each game cost $30 plus $10 for shipping and handling
let x represent number of video games
30x+10=75
30x=65
x=2.5
So you can only purchase two games with the money you have
-4x -3y =9 and 5x=15 solve by substitution. SHOW WORK PLS
Answer:
\(\sf{\boxed{\sf{x=3, \quad y=-7}}}\)
Step-by-step explanation:
In order to solve the problem, all you have to do is substitute the left to right numbers in the equation.
-4x-3y=9 and 5x=15
Solve with 5x=15.
First, divide by 5 from both sides.
5x/5=15/5
Solve.
15/5=3
x=3
Substitute of x=3.
-4*3-3y=9
Solve.
-4*3=-12
Then rewrite the problem down.
-12-3y=9
You have to isolate by the y.
-12-3y=9
Add by 12 from both sides.
-12-3y+12=9+12
Solve.
9+12=21
-3y=21
Then, divide by -3 from both sides.
-3y/-3=21/-3
Solve.
21/-3=-7
y=-7
As a result, the solution is x=3, and y=-7, which is our answer.
classify the following set of measurements as accurate, precise, both, or neither. checking for consistency in the weight of chocolate chip cookies: 17.27 g, 13.05 g, 19.46 g, 16.92 g
The dimensions listed above are thus neither exact nor precise.
In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.
It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.
The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.
The dimensions listed above are thus neither exact nor precise.
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Suppose that y varies directly with x, and y = 25 when x = -5.
A) Write a direct variation equation that relates x and y
B) Find y when x = 3
Step-by-step explanation:
y=kx
25= k(-5)
k= -5
y= -5x
y = -5 ×3 = -15
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
What equation of the line which passes through the point (-1, 2) and is parallel to the line y=x+4
Answer:
Thus, the equation of line for point (-1, 2) is y = x + 3.
Step-by-step explanation:
Answer:
The equation of the line is y = x + 3.
Step-by-step explanation:
A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.
y = mx + b
y = 1 * -1 + b
y = -1 + b
b = y + 1
b = 2 + 1
b = 3
in an equilateral triangle the first side is x+1, second side is 2x+4, the third side is 3x+y, find the value of x and y
The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.
We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.
Given:
First side=x+y
second side= 2x+4
third side=3x+y
An equilateral triangle has three equal sides, hence the following equations can be constructed:
x + 1 = 2x + 4
2x + 4 = 3x + y
Let's tackle each of these equations separately:
x + 1 = 2x + 4
We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:
x + 1 - x = 2x + 4 - x
1 = x + 4
By taking 4 away from both sides, we arrive at:
1 - 4 = x + 4 - 4 , -3 = x
Therefore, x has been determined to be -3.
Now, substitute the value of x in the second equation:
2x + 4 = 3x + y
2(-3) + 4 = 3(-3) + y
-6 + 4 = -9 + y
-2 = -9 + y
y = -2 + 9
y = 7
So, we determined that y has a value of 7.
As a result, the values of x and y are, respectively, x=-3 and y=7
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Answer:
Step-by-step explanation:
In an equilateral triangle all sides are equal.
So each of these sides (and their equations are equal to each other.)
To find x - set the first two (as they only involve x) equal to each other and solve.
x + 1 = 2x + 4
x -x + 1 = 2x - x + 4
1 = x + 4
1- 4 = x + 4 - 4
-3 = x
Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.
3(x) + y = x + 1
3(-3) + y = -3 + 1
-9 + y = -2
-9 + 9 + y = -2 + 9
y = 7
so x = -3 and y equal 7
I Four men can dig
a pit in 5 days,
men can do the same job
in 2 days
How many
Answer:
7?
Step-by-step explanation :
yo creo que si
How is 8/15 written as a mixed number?
Answer:
8/15 is already a proper fraction, therefore it cannot be converted to a mixed number. Hope this helps!
Step-by-step explanation:
Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place
The radius of the circle, marked p on the diagram, is approximately 5.8 cm.
What is radius?Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.
The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.
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260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys
Answer:
We need a picture of the screen plz
Step-by-step explanation:
Marcus was interested in whether the frequency that students check emails impacts their grades in the class. He categorized students into three groups. Those who checked email daily, those who checked email at least 2x a week (but not every day), and those who checked email less than 2x a week. Below are the GPAs for the students he studied. Conduct the steps of hypothesis testing on these data.
Table of data: GPAs for students separated by how often they check their email
Daily 2x a week Less than 2x a week
3.6 3.5 2.9
3.5 3.4 3.0
3.7 3.2 3.2
4.0 3.2 2.7
The steps to conduct the steps of hypothesis testing on these data are:
State the null hypothesis (H0) as well as the alternative hypothesis (H1):Select the significance level (alpha): Select the right test statistic:Formulate the decision rule:Compute the test statistic as well as the p-value:Decide on a decision.What is the hypothesis?The hypothesis will be:
H0: Email frequency does not affect grades.H1: Email frequency affects grades.Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.
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) Assume that a simple random sample has been selected from a normally distributed population and test the given claim at α = 0.05. State the claim mathematically. Identify the null and alternative hypotheses, test statistic, critical region(s), and the decision regarding the null hypothesis. State the conclusion that addresses the original claim. A local group claims that police issue at least 60 speeding tickets a day in their area. To prove their point, they randomly select two weeks. Their research yields the number of tickets issued for each day. The data are listed below. 70 48 41 68 69 55 70 57 60 83 32 60 72 58
We cannot conclude that there are more than 70,000 defined words in the dictionary.
To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:
Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.
Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.
So, sample mean
= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10
= 510 / 10
= 51.0
and, the sample standard deviation (s)
= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]
≈ 16.23
Next, we calculate the test statistic using the formula:
test statistic = (x - μ) / (s / √n)
In this case, μ = 48.0, s ≈ 16.23, and n = 10.
test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34
With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.
Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.
Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.
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