Answer:
c. 12 cu. cm.
Step-by-step explanation:
The larger cuboid is an array of 4 × 3 = 12 of the smaller ones. The volume of the smaller cube is (1 cm)³ = 1 cu. cm. The volume of the larger cuboid is 12 times that value:
12 × 1 cu. cm = 12 cu. cm.
Rectangles ABCD and WXYZ are similar, but not congruent. Which sequence of transformations could map ABCD to WXYZ?
Transformations
rotation, dilation
rotation, reflection
translation, dilation
translation, reflection
For all the given sequence of transformations, Rectangles ABCD and WXYZ will be similar.
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation = [k] units -When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation = [k] units - When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward Translation = [k] units - When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward Translation = [k] units - When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right.It is given that Rectangles ABCD and WXYZ are similar, but not congruent.
For all the transformations given represents the similar rectangles. Dilations, rotations, translations and reflections all lead to similar figures.
Therefore, for all the given sequence of transformations, Rectangles ABCD and WXYZ will be similar.
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Please help!! Needed asap, due soon!!:
Given line m and point O not on line m, the image of line m is constructed through a dilation centered at O with a scale factor of 3. Which of the following best describes the image of line m?
A. a line parallel to line m
B. a line intersecting with line m
C. a line passing through point O
D. a line perpendicular to line m
Answer:
The correct answer is A
Step-by-step explanation:
A line parallel to M
In a video game, Val scored 30%, percent fewer points than Peeta. Peeta scored 1060 points.
Answer:
742
Step-by-step explanation:
Divide 1060 by 10 to get 106. This is 10% of his score.
100-30 is 70, so Val scored 70% of Peeta’s points.
Multiply 106 by 7 find 70%
Val scored 742 points
g if you're estimating the bias of a coin that came up heads 10 times and tails 20 times, what is the maximum likelihood estimate for the bias of this coin (p(heads))? round to the nearest 0.001.
The probability or the maximum likelihood estimate for the bias of this coin (p(heads)) is 0.028
What is probability?Probability is the likelihood of an event
What is the maximum likelihood estimate for the bias of this coin (p(heads))?Since you're estimating the bias of a coin that came up heads 10 times and tails 20 times, to find the maximum likelihood estimate for the bias of this coin (p(heads)), we use a binomial probability
What is a binoimial probability?
A binomial probability is the probability of events that can have only two possible outcomes.
It is given by P(X = x) = ⁿCₓpˣqⁿ⁻ˣ where
n = total number of trials, x = number of required trials, p = probability of successes and q = probability of failuresGiven that the bias of a coin that came up heads 10 times and tails 20 times, we have that
n = 10 + 20 = 30, x = 10 (maximum number of heads) and p = q = 1/2(since it is a biased coin and has only two possible outcomes)So, to get the maximum likelihood estimate for the bias of this coin (p(heads)), we substitute the values of the variables into the equation, So,
p(heads) = P(X = x) = ⁿCₓpˣqⁿ⁻ˣ
P(X = 10) = ³⁰C₁₀p¹⁰q³⁰⁻¹⁰
= ³⁰C₁₀p¹⁰q²⁰
= ³⁰C₁₀(1/2)¹⁰(1/2)²⁰
= ³⁰C₁₀(1/2)³⁰
= 30045015 (1/2)³⁰
= 0.027982
≅ 0.028
So, p(heads) = 0.028
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Meg will have
1 serving of frozen yogurt for dessert. One serving of frozen yogurt is
3/4 cup. Meg only has a 1/8 cup scoop. How many scoops should Meg use to get 1 serving?
Please show your work so I can take notes
Consider events A, B where P(A) = 0.6 P(B) = 0.7 P( AB) = 0.55 Find P(AUB)
To find P(AUB), we can use the inclusion-exclusion principle: P(AUB) = P(A) + P(B) - P(AB). Given the probabilities P(A) = 0.6, P(B) = 0.7, and P(AB) = 0.55, we can substitute these values into the formula to calculate P(AUB).
To calculate the probability P(AUB), we can use the inclusion-exclusion principle, which is a method for finding the probability of the union of two events.
The inclusion-exclusion principle states that the probability of the union of two events A and B is equal to the sum of their individual probabilities minus the probability of their intersection:
P(AUB) = P(A) + P(B) - P(AB)
In this case, we are given the probabilities:
P(A) = 0.6
P(B) = 0.7
P(AB) = 0.55
Substituting these values into the formula, we get:
P(AUB) = 0.6 + 0.7 - 0.55
Calculating the result, we find:
P(AUB) = 0.75
Therefore, the probability of the union of events A and B, P(AUB), is equal to 0.75.
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What term is used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained
Answer : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics
Explanation : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics.
Inferential statistics are used to make generalizations or predictions about a population based on the analysis of a sample.
This is done by taking a sample from the population and using statistical methods to analyze the sample data, which then allows us to make inferences about the population as a whole.Inferential statistics play a crucial role in scientific research, as they allow researchers to draw conclusions about the characteristics of a population based on a representative sample of that population. In order for the inferences to be valid, it is important to ensure that the sample is representative of the population in question.In conclusion, inferential statistics is a powerful tool that allows us to draw meaningful conclusions about populations based on sample data. It is important to use appropriate statistical methods to ensure that the inferences we draw are valid.
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THE HCF OF TWO NUMBERS 2952 AND 2256 IS 24 FIND THEIR LCM
Step-by-step explanation:
by which method defination method, prime factorization or division method
I want please help me as soon as possible I need help please help me
Answer:
none of the above
Step-by-step explanation:
In the rainforest of Puerto Rico, I needed to measure the height of a really tall tree. I used a device to measure the angle of elevation from my line of sight to the top of a tree to be 31°. Find the height of the tree if my height is 6 feet and I was 275 feet from the tree
Answer:
Step-by-step explanation:
See image
Let f(x) = 3x^2 - 1 and g(x) = f(x)+3. a. Describe the transformstion from the graph of f to the graph of g. Then graph f and g in the same coordinates plane. b. Write an equation that represents g in terms of x.
what is the answer -28x^+35x
Answer:
The answer should be, 28x36.
Given 4 and one tenth times negative 4 times 5 over 12, determine the product. negative 16 and 5 over 120 16 and 5 over 60 negative 6 and five sixths 6 and five sixths
The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).
What is a numerical expression?A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.
The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).
= (41/10) × (- 4) × (5/12).
= (41×-4×5)/(10×12).
= (-820/120).
= - 82/12.
= - 41/6.
= \(-6\frac{5}{6}\).
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round 420000 to the nearest tenth
Answer:
It is rounded
Step-by-step explanation:
Answer:
It is already rounded up, unless you have forgotten the decimal point.
Step-by-step explanation:
In a toy store the ratio of legos to board games is
9:6. If the store has 24 legos, how many board games
are in the store?
The store has 16 board games
What are equivalent ratios?
The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.
Let x = number of legos
Let y = number of board games
Given ratio: 9:6= 9/6
x/y = 9/6
substitute x=24
24/y=9/6
Do cross multiplication
(6*24)/9=y
16=y
or
y=16
So, the store has 16 board games
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Mhanifa please help these are my last ones !
Answer:
#1
x/12 = 2/8x = 12/4x = 3#2
m∠E = 180° - (60° + 53°) = 67° ∠E ≅ ∠H ⇒ ∠D ≅ ∠GΔCDE ~ ΔFGH by AA postulate
#16
a = 3.5 in and k = 2/3, a' = ?a' = ak a' = 3.5*2/3 = 7/2*2/3 = 7/3 = 2 1/3 inCorrect choice is D
pls help asap if you can!!!!!
Answer:
x = 24
Step-by-step explanation:
if a and b are parallel then
62 and 5x - 2 are same- side interior angles and sum to 180° , that is
5x - 2 + 62 = 180
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
thus for a to be parallel to b , then x = 24
Solve the equation 16. 5 + 2. 75h = 9h + 7. 5 − 4. 25h find what h is
Answer:
h = -1.25
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
The equation of a line is y + 4 = 6x + 13 What is the value of y at the point where the line crosses the y-axis?
Answer:
The given equation of line is
\( \rm \: y + 4 = 6x + 13\)
This equation further can be written as
\( \qquad \sf \longrightarrow \:y = 6x + 13 - 4 \\ \\ \\ \qquad \sf \longrightarrow \: y = 6x + 9 - - - - (i)\)
General line formula in the form can be written as
\(\qquad \sf \longrightarrow \:y \: = mx + b - - - - (ii)\)
Point where this equation of line crosses the y-axis is
\(\qquad \sf \longrightarrow \:(0,b)\)
On comparing the equation (i) and (ii) we obtain
\(\qquad \sf \longrightarrow \:(0,9)\)
solve for x please help asap! will give brainlest
Answer:
80+60+3x+4=180
140+3x+4=180
144+3x=180
3x=180-144
3x=36
x=12
Answer:
x = 12
Step-by-step explanation:
All triangles equal to 180 degrees so, we can set up this expression:
180 = (3x + 4) + 80 + 60
All we have to do is solve:
180 = (3x + 4) + 80 + 60
180 = 3x + 4 + 140
180 = 3x + 144
-144 -144
36 = 3x
/3 /3
12 = x
Consider the function f: R2R given by 5x² if (x, y) = (0,0), f(x, y) = -{² x² + 7y² if (x, y) = (0,0). (a) Does the function f have a limit at (0,0)? Hint: Compute the limit along different lines through (0,0). (b) Give the set of all the points for which f is continuous. Ə Ə (c) Show that r f(x, y) + y f(x, y) = 3 and find the number 3.
Equation -1 = 0 doesn't have solution, no value of r that satisfies all coefficients. Equation r f(x, y) + y f(x, y) = 3 not satisfied for any value of r. Equation r f(x, y) + y f(x, y) = 3 doesn't hold no value of r that satisfies it.
In this problem, we are given a function f: R² → R defined as follows:
f(x, y) = 5x² if (x, y) = (0, 0)
f(x, y) = -x² + 7y² if (x, y) ≠ (0, 0)
We need to determine if the function f has a limit at (0, 0) and analyze its continuity.
(a) To determine if the function f has a limit at (0, 0), we need to compute the limit of f(x, y) as (x, y) approaches (0, 0) along different paths.
Along the x-axis: Letting y = 0, we have f(x, 0) = 5x². Taking the limit as x approaches 0, we get lim(x→0) f(x, 0) = lim(x→0) 5x² = 0.
Along the y-axis: Letting x = 0, we have f(0, y) = -x² + 7y² = 7y². Taking the limit as y approaches 0, we get lim(y→0) f(0, y) = lim(y→0) 7y² = 0.
Since the limit of f(x, y) approaches 0 along both the x-axis and the y-axis, we can conclude that the function f has a limit at (0, 0).
(b) To determine the set of points for which f is continuous, we need to consider the function's definition at (0, 0) and its definition for all other points.
At (0, 0), the function is defined as f(0, 0) = 5x².
For all other points (x, y) ≠ (0, 0), the function is defined as f(x, y) = -x² + 7y².
Therefore, the set of points for which f is continuous is R², except for the point (0, 0) where f has a removable discontinuity.
(c) To show that r f(x, y) + y f(x, y) = 3, we substitute the given definitions of f(x, y) into the equation:
r f(x, y) + y f(x, y) = r(5x²) + y(-x² + 7y²)
= 5rx² - xy² + 7y³
Now, we need to find the value of r such that the expression equals 3. Setting the expression equal to 3, we have:
5rx² - xy² + 7y³ = 3
To find r, we can equate the coefficients of like terms on both sides of the equation. Comparing the coefficients, we get:
5r = 0 (coefficient of x² term)
-1 = 0 (coefficient of xy² term)
7 = 0 (coefficient of y³ term)
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Suppose mouse weights are normally distributed with a mean of 22 grams and a standard deviation of 4 grams. A breeder is shipping out boxes of 12 mice and wants no more than 8% of their boxes to have mice below a specified average weight. What weight should they use so that no more than 8% of their boxes will have an average mouse weight below that weight? Question 1: What weight should they use so that no more than 8% of their boxes will have an average mouse weight below that weight Round your answer to TWO decimal places.
The breeder should use a weight of 16.38 grams to ensure that no more than 8% of their boxes will have an average mouse weight below that specified weight.
To determine the weight that meets the breeder's requirement, we need to find the value that corresponds to the 8th percentile of the mouse weight distribution. Since mouse weights are normally distributed with a mean of 22 grams and a standard deviation of 4 grams, we can use the standard normal distribution to find the z-score associated with the 8th percentile.
Using a standard normal distribution table or a statistical software, we can find that the z-score corresponding to the 8th percentile is approximately -1.405. To find the weight, we can use the formula:
weight = average+ (z-score * standard deviation).
Substituting the values, we have weight = 22 + (-1.405 * 4) = 16.38 grams (rounded to two decimal places).
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Carla graphs a function that is non linear which graph could represent Carla’s function
Answer:
A
Step-by-step explanation:
Because the graph intercepts 2 times the x axis
Answer:
A
Step-by-step explanation:
A is a parabola, which is non linear. A linear function will be a straight line that goes infinitely both ways.
Which is a perfect square?
O 5
O 8
O 36
044
Answer:
6×6=36
36 is the perfect square
Graph the following function on the axes provided.
(4x + 17
-2
f(x) =
for x < -3
for
x>0
The graph of the function is added as an attachment
How to determine the graph of the equationFrom the question, we have the following parameters that can be used in our computation:
f(x) = 4x + 17
f(x) = -2
Also, we have the interval to be
f(x) = 4x + 17 for x <-3
f(x) = -2 for x > 0
The above expression is a piecewise function
Next, we plot the graph and the intervals
See attachment for the graph of the equations
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Cody and Earl started week 1 of their garden with 20 tomatoes. Each week they eat 10 tomatoes and sell all that
remain, but they grow 3 times as many as they sell. How many tomatoes will they have at the start of week 5?
a. 420
b. 1570
Please select the best answer from the choices provided
0 0 0
ABCD
C. 150
d. 1620
Mark this and return
Save and Exit
ext
Submit
Answer:
the answer is A.420 tomatoes
Step-by-step explanation:
at the start of week 1:20
at the start of week 2: (20-10) x 3 = 30
at the start of week 3: (30-10) x 3 = 60
at the start of week 4: (60-10) x 3 =150
at the start of week 5: (150 - 10) x 3 = 420
Which explicit formula describes the sequence {87, 83.4, 79.8, 76.2, …}?
Answer:
an=87+(n-1)(-3.6)
Step-by-step explanation:
hope this helps
Answer:
an=87+(n-1)(-3.6)
correct answer gets brainliest
The first one is right.
1) 2/3 * 2/3 * 2/3 * 2/3 * 2/3 = 32/243
00 Q) Determine whether {(und)"} 3" Converges or diverges no
We can say that {(und)"} 3" diverges because it is a geometric sequence with a common ratio of 3, which is greater than 1.
To determine whether the sequence {(und)"} 3" converges or diverges, we need to look at the behavior of the terms as n gets larger.
We can start by writing out the first few terms of the sequence:
{(und)"} 3" = 3, 9, 27, 81, ...
We can see that each term is simply the previous term multiplied by 3. This means that the sequence is a geometric sequence with a common ratio of 3.
In general, a geometric sequence with a common ratio r will converge if |r| < 1 and diverge if |r| ≥ 1.
In the case of {(und)"} 3", the common ratio is 3, which is greater than 1. Therefore, the sequence diverges.
To summarize, we can say that {(und)"} 3" diverges because it is a geometric sequence with a common ratio of 3, which is greater than 1.
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Please explain how to do this. 7th grade math. Worth 20 points.
\(\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}\)
The value of \(x\).
\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)
\(\longrightarrow{\green{x=12° }}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
We know that,
\(\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}\)
➪ 95° + (3\(x\) +4)° + (4\(x\) - 3)° = 180°
➪ 3\(x\) + 4\(x\) + 95° + 4° -3° = 180°
➪ 7\(x\) + 96° = 180°
➪ 7\(x\) = 180° - 96°
➪ 7\(x\) = 84°
➪ \(x\) = \(\frac{84°}{7}\)
➪ \(x\) = 12°
Therefore, the value of \(x\) is 12°.
Now, the three angles of the triangle are 95°, 40° and 45° respectively.
\(\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}\)
✒ 95° + 40° + 45° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
\(\boxed{Hence\:verified.}\)