As per the dividing system, If every box gets the same amount, then the mass of fruit in each box is 10 kilograms.
Division
Division refers a process of splitting a specific amount into equal parts.
Given,
Felipe has 8 boxes.
He puts a total of 80 kilograms of fruit into these boxes.
Here we need to find the mass of fruit in each box, if every box gets the same amount.
While we looking into the given question, we have identify the following this,
Number of boxes = 8
Total weight of fruits = 80 kilograms.
And we also know that, each box must has same amount of weight.
Therefore, it can be calculated as, by dividing the total weight by the number of boxes, then we get,
=> 80/8
=> 10
Therefore, each box has 10 kilograms of fruits.
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Juliet is standing atop a 15-‐foot balcony when she spots Romeo at an angle of depression of 5° . How far away is Romeo from the base of the balcony?
101.6 ft
190.5 ft
171.5 ft
87.6 ft
Romeo is 171.5 feet away from Juliet when she saw her at an angle of depression of 5 degrees.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, Juliet is standing atop a 15-‐foot balcony when she spots Romeo at an angle of depression of 5°.
Here height is 15 feet and by interior alternate angles theorem angles is 5°
we have to determine the length of the adjacent side or base.
tan5° = 15/base.
base = 15/0.087.
base = 171.5 feet.
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In ssa case for an obtuse angle, what is the maximum number of triangles that can be generate with the given information?.
Using the SSA method, the maximum number of triangles that can be generate is 1.
In the given question,
In SSA case for an obtuse angle, we have to find the maximum number of triangles that can be generate with the given information.
As we know that,
There cannot be a second obtuse angle if the specified first angle is already obtuse since the triangle's angle total would be greater than 180°. As a result, there is only one way to construct the triangle, making SSA a valid congruence theorem when the supplied angle is acute.
So the maximum number of triangles that can be generate is 1.
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PLEASE HELP NEED THIS TO BE DONE IN 10 MINUTES
The cost x of the Sennet family’s meal at a restaurant is $172.65, and they tip 20%. Write and use an equation to find the total cost y of the dinner.
Enter the correct answers in the boxes.
Answer: (x/5)+x=y
Step-by-step explanation:
a study of the fuel economy for various automobiles plotted the fuel consumption (in liters of gasoline used per 100 kilometers traveled) vs. speed (in kilometers per hour). a least squares line was fit to the data. here is the residual plot from this least squares fit. what does the pattern of the residuals tell you about the linear model? (a) the evidence is inconclusive. (b) the residual plot confirms the linearity of the fuel economy data. (c) the residual plot does not confirm the linearity of the data. (d) the residual plot clearly contradicts the linearity of the data. (e) none of the above
Based on the provided data and the residual plot from the least squares method fit, the pattern of the residuals tells you about the linear model that the residual plot clearly contradicts the linearity of the data. (Option D).
The least square method refers to the process of determining the best-fitting curve or line of best fit for the data points by decreasing the sum of the squares of the offsets (residual part) of the points from the curve. It is a mathematical regression analysis which is utilized to establish the best fit for processing data while providing a visual demonstration of the relation between the data points. The residual plot in the given situation indicated that the residual plot clearly contradicts the linearity of the data.
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question 16 a project has a 60% chance of doubling your investment in 1 year and a 40% chance of losing half your money. what is the standard deviation of this investment? 62% 73% 50% 25%
The standard deviation is 70 %.
What is standard deviation ?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. [1] While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD.A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Though in algebra, it is simpler.acc to our question=
To get Standard Deviation (SD), we follow the steps shown below:We need to find the difference of each number from the mean and then square it.Then take the sum of all of these values.Then divide by the number of numbers.Then take square root of that.learn more about sd click here:
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a line goes through the point (2,4) and has a slope of 3/2. Which of the following points is also on the line? Circle all that apply
The equation of the line passing through point (2,4) and having a slope of 3/2 is y = (3/2)x + 1.
What is the equation of line with the given point and slope?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the data in the question;
Slope m = 3/2Point: (2,4)
x = 2y = 4Equation of line = ?First, we determine the y-intercept of the line 'b'.
Plug the slope and coordinates of the point into y = mx + b and solve for b.
y = mx + b
4 = (3/2)2 + b
4 = 3 + b
4 - 3 = b
b = 1
Now, plug the slope and y-intercept into y = mx + b to determine the equation of the line.
y = mx + b
y = (3/2)x + 1
Therefore, the equation of the line is y = (3/2)x + 1.
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Question enrique plans to sell his car and places a 6-line ad. his paper charges $42 for the first two lines and$6.75 per extra line, to run the ad for one week. what will enrique's ad cost to run for three weeks?
The cost for Enrique's ad which he wants to run for 3 weeks is $207
Given,
Number of lines in Enrique's ad = 6 lines
Charge for first two lines of ad = $42
Charge for extra lines after 2 lines = $6.75 each
The above given charges are for one week.
We have to find the cost for Enrique's ad which he wants to run for 3 weeks;
Here,
Total charge for Enrique's ad = 42 + (4 x 6.75) = 42 + 27 = 69
Enrique's 6 line ad charges $69 for a week
Now,
Charge of ad for 3 weeks = 69 x 3 = 207
That is,
The cost for Enrique's ad which he wants to run for 3 weeks is $207
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Use the area formula A=lw to write a formula for the length l of a baking sheet that has an A = 117^{2}
The formula to find the length l of a baking sheet that has an area of 117 square units is l = 117/w.
According to the question,
We have the following information:
Formula to find area = lw
Now, l is the length of a baking sheet.
Area of a baking sheet = 117 square units
So, we have the following expression:
lw = 117
Now, in order to find the value of l, we will divide both sides by w:
l = 117/w units
Hence, the formula to find the length l of a baking sheet that has an area of 117 square units is l = 117/w.
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What is the absolute value of 4 by 3?.
The absolute value of 4 by 3 would be 3.33
What is the absolute value?
The absolute value or modulus of a real number x denoted |x| in mathematics, is the non-negative value of x regardless of its sign.
We have to find the absolute value of 4/3.
So |4/3| = |3.33|
= 3.33
Hence, the absolute value of 4 by 3 would be 3.33
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Faris has a box of 150 building blocks.
a) He uses some of the blocks to make a tower.
70 blocks are left over.
How many blocks has he used?
80 blocks
b) He uses the 70 blocks left over to make another two towers.
One tower takes 35 blocks and the other takes 20 blocks.
4
How many of the 70 blocks has he got left?
blocks
The value of the blocks he used is 80 blocks.
What is meant by mathematic expression?The difference is that expressions, which are essentially mathematical "phrases," do not contain an equal sign. Equations have an equal sign and demonstrate that two mathematical expressions are equivalent. An algebraic equation is 2x + b = 14, but 2x + b is an algebraic expression.
Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations.
Given ,
A)How many blocks has he used?
150-70
= 80
B) 35 - 20
= 15
70/15
= 4
Therefore the value of the blocks he used is 80 blocks
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-4 1/4 * (-1 2/4)
I don't understand how to solve.
Answer:
[tex]6\frac{3}{8}[/tex]
Step-by-step explanation:
to multiply fractions turn them into improper fractions and then multiply numerator by numerator and denominator by denominator
-4 1/4*-1 2/4
-17/4*-6/4
102/16
51/8
6 3/8
Hopes this helps please mark brainliest
Agustin bought c books. They were 6 dollars each. Write an equation to represent the total amount p that Agustin paid for the books.
The equation to represent the total amount paid for the book is p=6c.
What is equation ?An equation is a combination of two or more variables in which the two mathematics expressions are equal.
Given that,
Book bought by Agustin = c,
Price for the book = 6 $
The total amount paid by Agustin = Number of books × price of books
Amount =c×6,
p=6c $.
The amount paid by Agustin is p=6c $.
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The lengths of the three sides of a triangle (in inches) are consecutive odd integers. If
the perimeter is 57 inches, find the value of the middle of the three side lengths.
The sides of the triangle are 17, 19 and 21 and 19 is middle of the three side lengths.
What are triangles?
Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. The triangle's three angles add up to a total of 180 degrees.Let the side of triangle = x
x-2, x, x+2 are the three sides and their sum is 3x.
3x = 57
x = 57/3
x = 19.
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Aubrie Kincade
Fractions as Quotients and Fraction Multiplication:Question 5
Do the following multiplication:
Enter answer below
Enter your response
1
x 7
The multiplication of the quotient and the fraction is 1 (2/5).
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The given expression is (1/5) × 7.
Perform the multiplication:
(1/5) × 7
= 7/5
= 1 (2/5)
Hence, the multiplication of the quotient and the fraction is 1 (2/5).
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what's the numerical expression that has the same meaning as 5 multiplied by the sum of 67 and 86
The numerical expression will be;
⇒ 5 × (67 + 86) = 765
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division
Given that;
The algebraic expression is,
''5 multiplied by the sum of 67 and 86''
Now,
Write the mathematical expression as;
''5 multiplied by the sum of 67 and 86''
⇒ 5 × (67 + 86)
⇒ 5 × 153
⇒ 765
Thus, The numerical expression will be;
⇒ 5 × (67 + 86) = 765
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un envase tiene una capacidad de 2,5 litros. si se agregan 1,3 litros de agua, ¿ qué fracción del envase está vacía.
Ayuda
The fraction of the container that is empty, based on the capacity of the container and the water added, is 12 / 25
How to find the fraction?The fraction of the container that is empty can be found by the formula:
= (Capacity of container - Amount of water added ) / Capacity of container
Capacity of container = 2.5 liters
Amount of water added = 1 . 3 liters
The fraction of the container which is empty is:
= (2 . 5 - 1.3) / 2.5
= 1.2 / 2.5
= (1 . 2 x 10) / ( 2 . 5 x 10)
= 12 / 25
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HELP ASAP DUE TOMORRROW
Based on the box plot, the number of students that gained more than 48 marks is 80 students.
What is a box and whisker plot?In Mathematics, the five-number summary of any box and whisker plot include the following:
MinimumFirst quartileMedianThird quartileMaximumBy critically observing the box and whisker plots which represent the scores of students in a test, we can reasonably and logically deduce that the third quartile (75%) is 70 and the median score is 48. Therefore, we would calculate the total number of students as follows:
Total number of students = 75/100 × T
120 = 0.75T
T = 120/0.75
T = 160 students.
From the median score of 48, the number of students that gained more than 48 marks is given by:
Students = 50/100 × 160
Students = 50/100 × 160
Students = 80 students.
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Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection, centers of rotation and degrees of rotation, distance and direction of translations, and centers of dilation with a scale factor. Determine if the transformation is a rigid transformation or a similarity transformation. Explain all reasoning.
The image is then dilated by a scale factor of half with a center of dilation of (1, 2); Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).
What is rigid transformation?A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).
The coordinates of the vertices of the preimage will be;
(5, 10), (2, 4), (9, 2)
The coordinates of the vertices of the image will be;
(-9, -2), (-2, -4), (-5, -10)
This is equivalent to a reflection about the origin, and a rotation of 180° clockwise or anticlockwise about the origin.
Part B: Figure 2 to Figure 5
The coordinate points of figure 2 will be;
(-9, 2), (-5, 10), and (-2, 4)
The coordinate points of figure 5 will be;
(1, 2), (2.5, -1), and (4.5, 3)
The lengths of the sides of figure 2 will be;
√((10 - 2)² + ((-5) - (-9))²) = 4·√5
√((10 - 4)² + ((-5) - (-2))²) = 3·√5
√((2 - 4)² + ((-9) - (-2))²) = √53
The lengths of the sides of figure 5 will be;
√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2
√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5
√((4.5 - 1)² + (3 - 2)²) = (√53)/2
Thus, Figure 5 is Figure 2 dilated by a scale factor of 1/2(half )
Therefore, the given sides of Figure 2 and Figure 5 are rotated by 180°
1) The rotation of figure 2 by 180° about the origin to get;
(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)
2) The image is translated left by 1 blocks and up by 6 blocks as;
(9, -2), (5, -10), and (2, -4) → (8, 4), (4, -4), and (1, 2)
3) The image is then dilated by a scale factor of half with a center of dilation of (1, 2);
Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).
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7 bags of red grape cost $24.50 4 bags of green grapes cost $15 what type of grapes is more expensive
Answer:
red grapes cost the most
Step-by-step explanation:
7 bags of red grape cost $24.50 4 bags of green grapes cost $15 what type of grapes is more expensive?
24.5/7 = $3.50 per bag
15/4 = $3.75 per bag
So, the red grapes cost more per bag.
A set of computer science exam scores are normally distributed with a mean of 71. 3371. 3371, point, 33 points and a standard deviation of 333 points. What proportion of exam scores are between 686868 and 77. 9977. 9977, point, 99 points? you may round your answer to four decimal places.
0.86 of the exam scores are between 68 and 77.99 points
Since the set of computer science exam scores are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x-μ)/σ
Where
X = computer science exam scores.
μ = mean score
σ = standard deviation
From the information given,
μ = 71.33 points
σ = 333 points
We want to find the proportion of the exam scores are between 68 and 77.99 points. It is expressed as
P(68 < x ≤ 77.99)
For x = 68,
z = (68 - 71.331)/333 = - 0.01
Looking at the normal distribution table, the probability corresponding to the z score is -0.01
For x = 68,
z = (77.99 - 71.33)/333 = 0.25
Looking at the normal distribution table, the probability corresponding to the z score is 0.25
P(68 < x ≤ 77.99) = 0.25 + 0.01 = 0.26
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PLEASE HELP MATH 36 pointssss
A urvey by the National Retail Federation found that women pend on average R146. On a Saturday
lunch. Aume the tandard deviation i R29. 44. Find the percentage of women who pend le than
R190. 00 on a Saturday lunch. Aume the variable i normally ditributed
0.68 is the variable is normally distributed when standard deviation is r29. 44.
What is standard deviation in math?
Your dataset's average level of variability is represented by the standard deviation.It reveals the average deviation of each statistic from the mean.A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.μ = 146.21 σ = 23.44 x ~ n
P{ x < 160 } = ρ{ x - μ/σ < 160 - 146.21/29.44 }
= ρ{ z < 0.47 }
= 0.6808
≈ 0.68
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2. Find the turning point of y = x² + 4x - 3 by completing the square.
Answer:
turning point = (- 2, - 7 )
Step-by-step explanation:
the vertex form of a parabola is
y = a(x - h)² + k
where (h, k ) are the coordinates of the turning point ( vertex) and a is a multiplier.
given
y = x² + 4x - 3
to complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 4x
y = x² + 2(2)x + 4 - 4 - 3
y = (x + 2)² - 7 ← in vertex form
with turning point (- 2, - 7 )
In \triangle VWX,△VWX, \overline{WX}\cong \overline{VW}
WX
≅
VW
and \text{m}\angle V = 40^{\circ}.m∠V=40
∘
. Find \text{m}\angle X.m∠X.
The measure of m∠X is 70°
From the question, we have
Sum of interior angles of a triangle is equals to 180 degree
∠W+∠X+∠V=180°
2∠W+∠V=180°
2∠W+40°=180°
2∠W= 180°-40°
2∠W=140°
∠W = 70°
∠W = ∠X = 70°
Subtraction:
The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.
Complete question:
In triangle VWX above, overline VW = overline VX and angle V = 40 degrees. What is the measure of m∠X
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The circumference of a circle is 14\piπ cm. Find its radius, in centimeters.
Answer:
Radius is 7π cm.
Step-by-step explanation:
Formula we use,
→ 2πr = 14π
→ 2r = 14π
Now the value of radius is,
→ 2r = 14 π
→ r = (14/2)π
→ [ r = 7π cm ]
Hence, the radius is 7π cm.
Answer:Answer:
Radius is 7π cm.
Step-by-step explanation:
Formula we use,
→ 2πr = 14π
→ 2r = 14π
Now the value of radius is,
→ 2r = 14 π
→ r = (14/2)π
→ [ r = 7π cm ]
Hence, the radius is 7π cm.
Step-by-step explanation:
one day, river writes down the numbers river chooses one of the digits written down at random. what is the probability that river chooses a ?
The probability that river chooses a number "7" is 300/2889 or 100/963.
The numbers 1, 2, 3,..., 999 are noted.First, we count all the digits that have been recorded.
1 through 9 equals nine digits.
10 digits equals 2(99 - 10 + 1) = 2(90) digits.
100-999 = 3(999-100+1) = 3(900) digits.
Total digits: 9 + 2 (90) + 3 (900) = 2889
Digit 7 values between 1 and 999
7 appears 100 times every decade in the Units place (7, 017... 997)=10 X 10 times.
Seven appears ten times in the Tens position per century (70-79, 170-179,..., 970-979), which equates to 10 X 10 or 100 times.
The number 7 appears 100 times in the hundreds' place (700, 701,..., 799)
As a result, between 1 and 999, the number 7 will appear a total of 300 times.
Consequently, the likelihood of choosing "7" is equal to 300/2889.
= 100/963
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Does anybody know the answer to this? (Math Extra Credit)
Answer: This looks like the periodic table, just find the variable and then you're good to go!
Step-by-step explanation:
The circle below is centered at (3, 1) and has a radius of 2. What is its
equation?
Answer:
B. [tex](x-3)^2+(y-1)^2=4[/tex]
Step-by-step explanation:
Standard equation of a circle with a center at C=(3,1) and radius 2 is:
[tex](x-3)^2+(y-1)^2=4[/tex]
The equation of a circle with center at (h,k) and a radius of r is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
In this example h=3, k=1 and r=2, so after substituting into above formula we have:
[tex](x-3)^2+(y-1)^2=2^2\\(x-3)^2+(y-1)^2=4[/tex]
Thanks.
How many degrees of freedom does the chi-square test statistic for a goodness of fit have when there are 10 categories?.
Degree of freedom for chi-square test for 10 categories will be 9.
What is chi- square test?
A test that evaluates how well a model matches real observed data is that the chi-square (χ²) statistic. A chi-square statistic can only be calculated with data that's random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a large enough sample.
The Formula for Chi-Square Is
χ(c)=²∑(Oₐ-Eₐ)₂/Eₐ²
where:
c=Degrees of freedom
O=Observed value(s)
E=Expected value(s)
Main Body:
Degree of freedom = total categories -1
so no. of categories= 10
Degree of freedom = 10 - 1
Hence degree of freedom = 9
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the primary tool for determining whether the assumptions made about the regression model are appropriate is
The primary tool for determining whether the assumptions made about the regression model are appropriate is residual analysis.
Regression analysis is a collection of statistical techniques used in statistical modelling to estimate the associations between a dependent variable and one or more independent variables. Regression analysis is a mathematical method for determining which of those factors has an effect.
Regression analysis is an effective statistical tool for examining the connection between two or more variables of interest. When the dependent and independent variables are connected in a linear or nonlinear form and the goal variable has a set of continuous values, it is extensively employed. As a result, regression analysis methodologies aid in the establishment of causal links between variables, as well as in the modelling of time series and forecasting.
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