Answer:
D
Step-by-step explanation:
In the data set, it begins with 10, and ends with 100. So in result, the rage would be D.
What percent of 108 is 33?
Can someone help Ive tried doing this but I don’t understand it. The answer sheet says it’s supposed to be 30.6% but I keep getting 32.67%
Answer:
30.6%, see explanation for what you're asking for
Step-by-step explanation:
Set up a proportion equation. You know 108 is 100%, so keeping the percents on the top, 100%/108 = x%/33. There's no "nice" number multipliers here, but you can still divide 100 by 108, take that number, and multiply it by 33 to get x. This is because you're finding how to get from 108 to 100 (bottom to top) to see that proportion, then applying it to the bottom number under x, the top, which you want. Doing this gives me 0.936 (approx.), and multiplying this by 33 gives me 30.555 repeating, which can be rounded up to 30.6%.
I can't figure out why you're getting a number like 32.67%. Perhaps it's a rounding error? I hope this helps despite it being a week after your asking.
What is the НСF of
4725
5850
Answer:
433345344 Answer
Step-by-step explanation:
The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
The probability that marksman will hits the target at most 13 times is 27.92%.
Explain the term binomial distribution?Let X be the quantity of times that target is hit and be a random variable. 15 rounds are fired, hence the number of trials ("n") is equal to 10 as a result. In a binomial distribution, "p" denotes the likelihood of success, and "q" is the likelihood of failure (where q = 1 - p). Since there is a 0.89 chance of striking the target, p = 0.89 and q = 0.11.The number of successes ("x") is the probability mass function for such binomial distribution.
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
We are interested in the likelihood that the target will be struck exactly five times, therefore the desired number of successes is five (i.e., x = 13).
P(X = 13) = ¹⁵C₁₃. (0.89)¹³ (0.11)²
P(X = 13) = 0.2792
P(X = 13) = 27.92%
Thus, the probability that marksman will hits the target at most 13 times is 27.92%.
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Sipho buys peanuts in bulk at r5 per kg and sells them in 100g packets for r1 each .his aunt owns a packaging business and supplies sipho with free packets for packaging the peanuts .write sipho profit as a. a rate per kg b. a rate per 100g packet c.calculate the percentage profit that sipho makes on his peanuts
Answer:
the percentage is 100g divided by 5 to get 20
Answer:
Step-by-step explanation: a rate per 100 g packet
A given gas powered water pump delivers 42.50 gallons of water per minute. This value can also be expressed as _____________ L/s (Liters per second).
The rate at which the gas powered pump deliver water is 160.9 litres per seconds
How to convert rate?The gas powered water pump delivers 42.50 gallons of water per minute.
Therefore,
1 gallon = 3.78541 litres
42.50 gallons = ?
cross multiply
volume = 42.50 × 3.78541 = 160.879925 litres
Hence,
60 seconds = 1 minutes
1 second = ?
time = 1 / 60 = 0.01666666666 seconds
Hence,
rate = 160.9 litres per second
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Panchito discovered a refreshing beverage by mixing a 5% cranberry juice with a 90% orange juice. How much of each should he mix together to make 150 ml of a 22% cranberry-orange juice blend
Panchito should mix 30 ml of cranberry juice with 120 ml of orange juice to make 150 ml of a 22% cranberry-orange juice blend.
To determine the amounts of cranberry juice and orange juice that Panchito should mix, we can set up a system of equations based on the given information. Let's assume Panchito mixes x ml of cranberry juice and y ml of orange juice.
The total volume of the mixture is 150 ml: x + y = 150.
The percentage of cranberry juice in the mixture is 22%: (0.05x) / 150 = 0.22.
Simplifying the second equation, we get:
0.05x = 0.22 * 150
0.05x = 33
x = 33 / 0.05
x = 660 ml
Substituting this value back into the first equation, we can solve for y:
660 + y = 150
y = 150 - 660
y = -510 ml
Since the solution for y is negative, it is not feasible. This indicates that there is no way to create a 22% cranberry-orange juice blend using a 5% cranberry juice and a 90% orange juice.
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Which factor provides the basis for the grading of newly diagnosed malignant tumors? size of the tumor x number of metastases degree of differentiation of the cells number of lymph nodes involved
The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.
What is the degree of differentiation?The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.
The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.
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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
Yasmine's Mom had to buy 9 pints of ice cream and each pint cost $2.73 (tax is included in that cost). How much did the 9 pints of ice cream cost? If she paid for the ice cream with $40, how much money did she get back?
Answer:
$24.57
$15.43
Step-by-step explanation:
Cost per pint of ice cream = $2.73
Number of pints purchased = 9
Total cost = cost per pint * Number of pints
Total cost = $2.73 * 9 = $24.57
If she paid $40
Change collected = $40 - $24.57 = $15.43
Determine the measure of the interior angle at vertex E.
Answer:
30
Step-by-step explanation:
5 sides Pentagon=540
3x+4x+4x+4x+3x=540
18x=540
x=540/18
x=30
905=5a please help me i don't know what this is
Step-by-step explanation:
905÷5=5a÷5
there for a=181
Brent golfs for the Forestville High School team. During team practices, he can make a 10-foot put 80% of the time.
12. If Brent takes 200 10-foot putts
for practice, what is the number of
putts he can expect to make?
Answer choices:
120
140
160
180
Answer: 160
Step-by-step explanation:
200· \(\frac{80}{100}\) = 160
!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!
Answer:
1.77
Step-by-step explanation:
.................
what are the approximate values of the non-integral roots of the polynomial equation? –5.57 –1.95 0.21 1.27 4.73
The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.
To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.
To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.
The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.
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What is an equivalent expression for 65 ÷ 63.
acrylamide, a possible cancer-causing substance, forms in high-carbohydrate foods cooked at high temperatures. acrylamide levels can vary widely even within the same type of food. an article appearing in a certain journal included the following acrylamide content (in nanograms/gram) for five brands of biscuits. 344 294 333 276 248 (a) calculate the mean acrylamide level (in nanograms/gram). nanograms/gram
An article appearing in a certain journal included the following acrylamide content for five brands of biscuits. 344 , 294, 333, 276, 248. The mean acrylamide level (in nanograms/gram) is 299.
In statistics, the mean is a measure of central tendency that represents the sum of all values in a dataset divided by the total number of values. It is commonly referred to as the average.
To calculate the mean, all the data values are added together, and then this sum is divided by the number of data points in the dataset. The formula for calculating the mean is:
mean = (sum of values) / (number of values)
To calculate the mean acrylamide level, we need to add up all the acrylamide levels for the five brands of biscuits and divide the sum by the total number of brands.
Sum of acrylamide levels = 344 + 294 + 333 + 276 + 248 = 1495
Total number of brands = 5
Mean acrylamide level = (Sum of acrylamide levels) / (Total number of brands) = 1495 / 5 = 299
Therefore, the mean acrylamide level is 299 nanograms/gram.
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Racheal has been earning sh. 640 a week. His rate of pay per hour is increased in the ration 9:8 and his hours of work are decreased in the ratio 9:10. If he is paid on hourly rate for the number of hours worked, find his weekly earning now.. (3mks)
Answer:
sh. 648
Step-by-step explanation:
earnings rate per hour hours of work
sh. 640 8/9 10/9
? 9/8 9/10
640 × 9/8 × 9/10 = 648
Answer = Shs. 648
What are the terms in the expression 5y -x + 7? A. Sy, -X B. 3,-1,7 C. 5y, -x, 7 D. Sy, x, 7
The two factors means that the two value will equate with zero
A) 2x-6
They can be aslo simplified as :
2x-6=0
2x=6
x=3
Thus they gave only one values and cannot be expressed as the factors of two product
B) 2x+6
In this expression
we can simplify as :
2x+6
2x+6=0
2x=-6
x=-3
Thus , they are also not expressed as the factors of the two product
C) 2(x+6)
In this expression
we can simplify as :
2x+12
2x+12=0
2x=-12
x=-6
Thus , they are also not expressed as the factors of the two product
D) (2+x)÷(6+x)
They can express as fraction
\(\begin{gathered} (2+x)\div(6+x)=\frac{(2+x)}{(6+x)} \\ (2+x)\div(6+x)=(2+x)(6+x)^{-1} \end{gathered}\)Thus, They express as the product of the tewo factors
Answer : D) (2+x)÷(6+x)
Can someone help me with this question?
Answer:
a. [L], [M]
b. 41, 42, 43
Step-by-step explanation:
a.If x represents the smallest number, then the second number is (x+1) and the third number is (x+2). The sum is of the first number (x), 3 times the second number, 3(x+1), and 2 times the third number, 2(x+2). That sum can be written as ...
Total = x +3(x +1) +2(x +2) . . . . matches [L]
If we use the distributive property to eliminate parentheses, we get ...
Total = x +3x +3 +2x +4 . . . . . matches [M]
__
b.Using the equation of [M], we have ...
253 = x +3x +3 +2x +4
246 = 6x . . . . . . . . . . . . . . . . collect terms, subtract 7 from both sides
41 = x . . . . . . . . . divide both sides by 6
The three consecutive numbers are 41, 42, 43.
(7y) - 2n) - (5y + 3a) =
pls help
Answer:
2y - 2n - 3a
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(7y - 2n) - (5y + 3a)
Step 2: Simplify
Distribute negative: 7y - 2n - 5y - 3aCombine like terms (y): 2y - 2n - 3afind the perimeter of a quadrilateral with vertices at c (−2, 1), d (2, 4), e (5, 0), and f (1, −3).
A quadrilateral is a polygon with four sides. It is a two-dimensional shape formed by connecting four non-collinear points. The perimeter of the quadrilateral is 20 units.
The angles of a quadrilateral can vary, and it can have sides of different lengths. Examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.
Quadrilaterals have certain properties and characteristics. Some common properties include:
Interior angles: The sum of the interior angles of a quadrilateral is always equal to 360 degrees.
Diagonals: A quadrilateral has two diagonals, which are line segments connecting opposite vertices. The diagonals of some quadrilaterals are perpendicular, while in others they intersect at a point inside the shape.
To find the perimeter of a quadrilateral with vertices at c (-2, 1), d (2, 4), e (5, 0), and f (1, -3), you can use the distance formula. The distance formula is given by:
d = √((x2 - x1)² + (y2 - y1)² )
So, let's calculate the distances between the vertices:
Distance between c and d:
d_cd = √((2 - (-2))² + (4 - 1)² )
Distance between d and e:
d_de = √((5 - 2)² + (0 - 4)² )
Distance between e and f:
d_ef = √((1 - 5)² + (-3 - 0)² )
Distance between f and c:
d_cf = √((-2 - 1)² + (1 - (-3))² )
Now, we sum the lengths of all four sides to find the perimeter:
Perimeter = CD + DE + EF + FC = 5 + 5 + 5 + 5 = 20
Therefore, the perimeter of the quadrilateral is 20 units.
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Help! Hopefully y’all can see that alright..
Answer:
F and G
Step-by-step explanation:
4x+4≤9x+8
please help
Answer:
x ≥ - \(\frac{4}{5}\)
Step-by-step explanation:
4x + 4 ≤ 9x + 8 ( subtract 5x from both sides )
4 ≤ 5x + 8 ( subtract 8 from both sides )
- 4 ≤ 5x ( divide both sides by 5 )
- \(\frac{4}{5}\) ≤ x , then
x ≥ - \(\frac{4}{5}\)
Answer:
4x + 4 ≤ 9x + 8 Subtract 4x from both sides
4 ≤ 5x + 8 Subtract 8 from both sides
-4 ≤ 5x Divide both sides by 5
≤ x
x ≥
Step-by-step explanation:
Find the diameter of each circle.
Answer:
Diameter Length: ( About ) 5.4 km; Option B
Step-by-step explanation:
~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~
1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒
radius = ( About ) 2.7
2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km
Diameter Length: ( About ) 5.4 km
Joy's math certificate is 10 inches tall and 13 inches wide. Joy wants to put the certificate in a fancy frame that costs $3.00 per inch. How much will it cost to frame Joy's math certificate?
In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.
The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.
Joy wants to frame it in a fancy frame that costs $3.00 per inch.
To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.
The perimeter of the certificate is:
Perimeter = 2 × (height + width)
Substituting the given values, we get:
Perimeter = 2 × (10 + 13)Perimeter = 46 inches
Therefore, the total cost of framing Joy's math certificate is:
Total cost = Perimeter × Cost per inch
Total cost = 46 × 3.00Total cost = $138.00
Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.
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75% of the class is making a B or higher. If there are 24 students in the class, how many are making a B or higher?
Answer:
3.12500
Step-by-step explanation:
divided 75% by 24 students
5. The points (2, 4) and (6,7) lie on a line. What is the slope of the line? A. 2 B. 1 C. 4/3 D. 3/4
These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.
Perimeter= 20m
Area=19.6m^2
Perimeter=34m
What is the Area=
The area of the larger figure that is similar to the smaller one is: 28.2 m².
How to Find the Area of Similar Figures?Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:
Area of figure A / Area of figure B = a²/b².
Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:
Perimeter of smaller figure = 20 m
Area of smaller figure = 19.6 m²
Perimeter of larger figure = 34m
Area of larger figure = x
Therefore:
20/34 = a/b
Simplify:
10/17 = a/b.
Find the area (x) of the larger figure using the formula given above:
10²/12² = 19.6/x
100/144 = 19.6/x
100x = 2,822.4
x = 2,822.4/100
x ≈ 28.2 m²
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Each gallon of gasoline costs $2.35. The equation y=2.35x can be used to represent this situation.
What is the constant of proportionality? Express your answer in decimal form.
Answer:
For every gallon of gas added to the tank, the buyer is charged $2.35
The constant of proportionality of the given equation y = 2.35x will be 2.35.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
Let's x ∝ y
Then x = ky where k will be constant of proportional.
k = x/y which means when two variables are divided which were in proportion it will create a constant proportional.
So,
y /x = 2.35 will be constant of propotional.
Hence "The constant of proportionality of the given equation y = 2.35x will be 2.35".
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Find the circumference of the circle.
Use = 3.14
12 cm
A 18.84 cm
B 37.68 cm
C 34 cm
D 113.04 cm