select all the true: ninety-six golf balls were picked up at the driving range and placed into two buckets. one bucket has twenty-eight more balls then the other bucket. how many gold balls are in each bucket?
Answers
The number of golf balls that are in each bucket would be = bucket X = 62, bucket y = 34
What is division?Division is one of the major arithmetic operation that is used to know the number of groups that can be placed under data sets when shared.
The number of golf balls that are picked up at driving range = 96
The number of buckets present= 2( X and y)
Bucket X = 28 + a
Bucket y = a
To calculate for each bucket first find a.
But 96 = 28+ a+ a
96 = 28 + 2a
2a = 96- 28
2a = 68
a = 68/2 = 34
Bucket X = 28+34 = 62
Bucket y = 34.
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Related Questions
if two polygons are similar the corresponding angles must be
Answers
If two polygons are similar the corresponding angles between the two polygons must be congruent (have equal measures).
If two polygons are similar, it means that they have the same shape but possibly different sizes. In this case, the corresponding angles between the two polygons must be congruent (have equal measures).
More formally, if two polygons are similar, then their corresponding angles are equal. This property holds true for all corresponding angles of similar polygons, regardless of the number of sides or the size of the polygons.
It is a fundamental property of similarity in geometry.
Therefore, if you have two similar polygons, you can conclude that the corresponding angles of those polygons will be congruent.
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a gardener is designing a rectangular planter for a rose garden in front of the administration building on a university campus. the gardener has enough material to build a 300-foot fence to enclose the garden. he also has enough roses to fill a 5,200 square foot planter.
Answers
a. To represent the garden's width, w, in terms of its length, I, we can use the equation: w = 300 - 2I
b. g(l) = l * (300 - 2l) this function gives the area of the rose garden (g) as a function of its length (l)
a. To represent the garden's width, w, in terms of its length, I, we can use the equation:
w = 300 - 2I
The width is equal to the remaining fence length (300 feet) after subtracting twice the length (2I) because the rectangular planter has two equal sides and two equal ends.
b. To define a function g that represents the rose garden's area in terms of its length, l, we can use the equation:
g(l) = l * w
Substituting the expression for the width from part (a), the function becomes:
g(l) = l * (300 - 2l)
This function gives the area of the rose garden (g) as a function of its length (l), taking into account the relationship between length and width.
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complete question is below
A gardener is designing a rectangular planter for a rose garden in front of the administration building on a university campus. The gardener has enough material to build a 300-foot fence to enclose the garden. He also has enough roses to fill a 5,200 square foot planter.
a. Define an expression to represent the garden's width, w, in terms of it length, I.
b. Define a function g to represent the rose garden's area in terms of its length, l.
hich of the following represents a directional research hypothesis? group of answer choices h1: 1 2 h0: 1 2 h1: 1 > 2 h0: 1
Answers
A non-directional study hypothesis, on the other hand, would merely assert that there is a difference between the variables being examined without specifying which way the difference will go.
What is null hypothesis?A type of statistical hypothesis known as a null hypothesis claims that a particular collection of findings has no significance in statistics. The viability of theories is evaluated using sample data. an an an a The assumption made by researchers is that there is some connection between the factors. The null hypothesis, on the other hand, asserts that such a relationship does not exist. Although it might not seem significant, the null hypothesis is an important part of study.
"h1: 1 > 2" denotes the direction of the study. Indicating that one variable (1) will have a higher impact or value than the other variable (2), this hypothesis forecasts the direction of a connection between the variables under study. (2). A non-directional study hypothesis, on the other hand, would merely assert that there is a difference between the variables being examined without specifying which way the difference will go.
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The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determined by its length (x).
Which value of x makes sense for the length of Maya’s poster?
x 0
x > 2
Answers
Step-by-step explanation:
The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determined by its length (x).
Which value of x makes sense for the length of Maya’s poster?
x < 0
x < 2
x > 0
x > 2 -- the answer is D
Answer:
ITS D JUST GOT IT RIGHT!!!!
Step-by-step explanation:
6. Combine the following logarithms into a single logarithm. Be sure to show all your work and explain which log properties you used for each step. Do not overly simplify.1 over 6 log subscript 4 z plus log subscript 4 open parentheses z squared minus 36 close parentheses minus 7 over 6 log subscript 4 open parentheses z minus 6 close parentheses
Answers
Given:
\(\frac{1}{6}\log _4z+\log _4(z^2-36)-\frac{7}{6}\log _4(z-6)\)To combine these logarithms into a single logarithm, the first thing we need to do is to re-write the expression as a single logarithm with coeffient.
\(\frac{1}{6}\log _4z+\log _4(z^2-36)-\frac{7}{6}\log _4(z-6)=\frac{\log _4\sqrt[6]{z}+\log _4(z^2-36)}{\log _4\sqrt[6]{(z-6)^7}}\)Next, we will use the Product Rule to simplify the numerator.
Product Rule states that:
\(\log _b(MN)=\log _bM+\log _bN\)Applying it to the numerator:
\(\log _4\sqrt[6]{z}+\log _4(z^2-36)=\log _4(\sqrt[6]{z}(z^2-36))\)We will now have a new expression:
\(\frac{\log_4(\sqrt[6]{z}(z^2-36))}{\log_4\sqrt[6]{(z-6)^7}}\)Next, we will factor out the logarithm.
\(\frac{\log_4(\sqrt[6]{z}(z^2-36))}{\log_4\sqrt[6]{(z-6)^7}}=\log _4(\frac{\sqrt[6]{z}(z^2-36)}{\sqrt[6]{(z-6)^7}})\)Therefore, the final answer would be:
\(\log _4(\frac{\sqrt[6]{z}(z^2-36)}{\sqrt[6]{(z-6)^7}})\)Rafael has two coupons for a phone.
Coupon A:
Coupon B:
$8 rebate on a $57 phone
20% off of a $57 phone
Choose the coupor that gives the lower price.
Then fill in the blank with the correct value.
Coupon A gives the lower price.
The price with coupon A is $] less than the price with coupon B.
Coupon B gives the lower price.
The price with coupon B is $] less than the price with coupon A.
lol
Answers
Mr. Turner has two Algebra 1 classes. With one class, he lectured and the students took notes. In the other class, the students worked in small groups to solve math problems. After the first test, Mr. Turner recorded the student grades to determine if his different styles of teaching might have impacted student learning.
Class 1: 80, 81, 81, 75, 70, 72, 74, 76, 77, 77, 77, 79, 84, 88, 90, 86, 80, 80, 78, 82
Class 2: 70, 90, 88, 89, 86, 86, 86, 86, 84, 82, 77, 79, 84, 84, 84, 86, 87, 88, 88, 88
1. Analyze his student grades by filling in the table below. Which class do you think was the lecture and which was the small group? Why?
2. Draw histograms OR box plots to easily compare the shapes of the distributions.
3. Which measure of center and spread is more appropriate to use? Explain.
Answers
Answer:
1. Based on the grades, it is likely that Class 1 was the lecture class and Class 2 was the small group class. This is because the grades in Class 1 have a wider range (70-90) and a larger variance, while the grades in Class 2 are more tightly clustered together (82-90) and have a smaller variance.
2. Histograms or box plots could be drawn to compare the shapes of the distributions, but we cannot do this through text.
3. The most appropriate measure of center for these data sets is the mean, since the distributions are approximately symmetric. The most appropriate measure of spread for these data sets is the standard deviation, since the distributions are not strongly skewed and there are no extreme outliers.
Step-by-step explanation:
The correct values are,
Q1 Q2 IQR Mean Median MAD
Class 1 76.25 81.75 5.5 79.35 79.50 3.12
Class 2 84 88 4 84.60 86 3.85
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Now, The first step is to arrange the grades in the classes in ascending order.
Class 1: 70, 72, 74, 75, 76, 77, 77,77, 78, 79, 80, 80, 80, 81, 81, 82, 84, 86, 88, 90
Class 2: 70, 77, 79, 82, 84, 84, 84, 84, 86, 86, 86, 86, 86, 87, 88, 88, 88, 88, 89, 90
Hence, We get;
Q1 for class 1= 1/4(n + 1) = 21/4 = 5.25 = 76.25
Q2 for class 2 = 1/4(n + 1) = 5.25 = 84
Q3 for class 1= 3/4(n + 1) = 15.75 = 81.75
Q3 for class 2 = 3/4(n + 1) = 15.75 = 88
And,
IQR for class 1 = Q3 - Q1 = 81.75 - 76.25 = 5.50
IQR for class 2 = Q3 - Q1 = 88 - 84 = 4
Mean for class 1 = sum of grades / total number of grades = 1587 / 20 = 79.35
Mean for class 2 = sum of grades / total number of grades= 1692 / 20 = 84.6
Median for class 1 = (n + 1) / 2 = 21/2 = 10.5 = 79.50
Median for class 1 = (n + 1) / 2 = 21/2 = 10.5 = 86
Since, We know that;
MAD = 1/n ∑ l x - m(x) l
Where: n = number of observations
x = number in the data set
m = mean
Hence,
Mean absolute deviation for class 1 = 62. 3/ 20 = 3.12
Mean absolute deviation for class 2. = 77/ 20 = 3.85
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what is 16+6
A. 2(8+1)
B. 2(8+3)
C. 3(2+3)
D. 8(2+3)
Answers
Answer:
B
Step-by-step explanation:
16 + 6 ← factor out 2 from each number
= 2(8 + 3)
The tip of a pendulum at rest sits at point B. During an experiment, a physics student sets the pendulum in motion. The tip of the pendulum swings back and forth along part of a circular path from point A to point C. During each swing the tip passes through point B. Identify all the angles in the diagram.
Answers
Answer:
Step-by-step explanation:
angle AOB, angle COB, angle AOC
(hope this helps because I’m taking a test right now)
8) Ann planned to spend 13 hours to cook a meal. She finished the
cooking in 11 hours instead. How much earlier did she finish the
cooking?
Answers
Answer:
She finished 2 hours earlier.
Step-by-step explanation:
Subtract 13 by 11 to get the answer of 2.
In the high jump event at the city track meet ronald successfully jumped 4 feet and 6 inches. Luis successfully jumped 3 feet and 9 inches. who had the higher jump and by how much
Answers
Answer:
Ronald by 9 inches
Step-by-step explanation:
Ronald jumped a total of 54inches
Luis jumped a total of 45 inches
Martin is building a model. He cuts two pieces of wood that are each 6 1/3 inches long from a board with a total length of 18 inches. What is the length, in inches, of the remaining part of the board?
Answers
Answer:5 1/3
Step-by-step explanation:
If we like to study the effect of color (black or red) and thickness (1mm or 1.5mm) on sales of products with 0.05 alpha,
then which is the correct one?
a. Factor= black, red, 1mm and 1.5 mm
Factor level = color and thickness
Dependent variable = sales of product
b. Factor= sales of product
Factor level = black, red, 1mm and 1.5 mm
Dependent variable = color and thickness
c. Factor= color
Factor level = black, red, 1mm and 1.5 mm
Dependent variable = thickness and sales of product
d. Factor= color and thickness
Factor level = black, red, 1mm and 1.5 mm
Dependent variable = sales of product
Expert Answer
Answers
d. Factor = color and thickness
Factor level = black, red, 1mm and 1.5 mm
Dependent variable = sales of product
In experimental design and statistical analysis, it is important to correctly identify the factors, factor levels, and dependent variable.
In this scenario, the factors of interest are color (black or red) and thickness (1mm or 1.5mm), and the objective is to study their effect on sales of products.
The factors represent the independent variables that are being manipulated or observed in the study. In this case, color and thickness are the factors being investigated.
Each factor has its own levels, which are the specific values or categories within each factor. The levels for color are black and red, while the levels for thickness are 1mm and 1.5mm.
The dependent variable is the outcome or response variable that is being measured or observed in the study, and it is influenced by the independent variables (factors).
In this case, the dependent variable is the sales of products. The goal is to assess how color and thickness affect the sales of products, and whether there is a significant difference in sales based on these factors.
Therefore, the correct representation is to consider color and thickness as the factors, with their respective levels, and the sales of products as the dependent variable.
This allows for the analysis of how color and thickness impact the sales, and statistical tests can be performed to evaluate the significance of the effects.
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Select all the expressions that have a value of 96 when s=4.
Answers
1. s + s + s + s + s + s + s + s = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 32
2. 12 × s - 48 = 12 × 4 - 48 = 48 - 48 = 0
3. (s + 10) × s - s = (4 + 10) × 4 - 4 = 14 × 4 - 4 = 56 - 4 = 52
4. 2 × s × s × s × s = 2 × 4 × 4 × 4 × 4 = 2 × 64 = 128
5. (s + 6) × (s + 2) = (4 + 6) × (4 + 2) = 10 × 6 = 60
The only expression that has a value of 96 for s=4 is not on this list.
Lazy Gym charges a one-time registration fee of $30 plus $10 per fitness class. Get Abs Gym charges no registration fee but charges $15 per fitness class. For how many fitness classes does Get Abs Gym cost less than or the same as Lazy Gym?
Answers
Answer:
3
Step-by-step explanation:
Answer:
x \(\leq\) 6
Step-by-step explanation:
First, set up expressions to represent the costs of both gyms, where x is the number of fitness classes:
Lazy Gym can be represented by 10x + 30
Get Abs Gym can be represented by 15x
Then, create an inequality equation to represent the situation. Since we are trying to find when Get Abs Gym is cheaper than or equal to Lazy Gym, we will use a less than or equal to sign:
15x \(\leq\) 10x + 30
Then, solve for x:
15x \(\leq\) 10x + 30
5x \(\leq\) 30
x \(\leq\) 6
So, at 6 fitness classes, the prices will be the same. For more than 6 fitness classes, Get Abs Gym will be cheaper than Lazy Gym.
Answer these two and get marked as barinliest!!!
Answers
Answer:
Step-by-step explanation:
first one A and second one C
Please help! I will mark as brainliest IF answer is right. <3
Answers
Step-by-step explanation:
(f + g)(x)=
f×x + g×x =
fx + gx =
fx + gx= 3x² -x + 4 + 4x² - 5x + 2
3x² + 4x² -x - 5x + 4 + 2
=7x² - 6x + 7( I can't go past here)
HELPPPPPP MEEEEEEEEEEE
Answers
Answer:
C. 4
Step-by-step explanation:
The initial value would be four because that's what the value is at the start of the graph.
the circumference of a circle is 264 cm find its area
Answers
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
PLEASE HELP FAST!! HIGH POINTS!
What is the vertex form of the equation?
y = x^2 + 4x - 3
Oy = (x - 2)^2 - 7
Oy = (x + 2)^2-7
Oy = (x - 2)^2 + 7
Oy= (x + 2)^2 + 7
Answers
Answer:
he easiest way is: y=ax2+bx+c. axis on symmetry is: aos=−b2a. Vertex is: (aos,f(aos)). c = y-intercept. so your function: y=x2−4x.
Step-by-step explanation:
Find the area :)))) please help
Answers
Answer:
I hope this helps you
Step-by-step explanation:
Area = Base × Height
= 1.8m × 2.5m
= 4.5m^2
A rectangular prism has a square
base with edge length (x + 1). Its
volume is (x + 1)2(x – 3). What
does the expression (x + 1)(x – 3)
represent?
area of the base
area of one side
height of the prism
surface area of the prism
Answers
The expression (x + 1)(x - 3) represents the Area of base of the prism.
What is Prism?a crystal is a polyhedron containing a n-sided polygon base, a respectable halfway point which is a deciphered duplicate of the first, and n different countenances, fundamentally all parallelograms, joining relating sides of the two bases. Translations of the bases exist in every cross-section that runs parallel to the bases.
According to question:
The volume of a rectangular prism is given by the formula V = Bh, where B is the area of the base and h is the height of the prism. In this case, the base is a square with edge length (x + 1), so its area is (x + 1)^2. The volume of the prism is given as (x + 1)^2(x - 3).
We can find the height of the prism by dividing the volume by the area of the base:
B = V/h = (x + 1)^2(x - 3)/(x + 1) = (x + 1)(x - 3)
Therefore, the expression (x + 1)(x - 3) represents the Area of base of the prism.
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Without working out the multiplication, which product is larger, why? 3 × 1/5 or 3 × 1/10
Answers
Answer:
The product that will be larger is 3x1/5
Step-by-step explanation:
So in order to know this we have to look at the fractions. We already know that 1/5 is larger than 1/10. To double check our work, we can convert these fractions into percents. 1/5 being 20% and 1/10 being 10%. So now that we have prooved 1/5 is larger, multiplying the larger fraction by three will give us a larger product.
Hope this helped ;)
Which linear function has the steepest slope? Whoever answers this first I will mark them brainless
Answers
Answer:
y=-8x+5
Step-by-step explanation:
The others have a slope of -2, 7, and 6, which is not as steep as -8.
Answer:
A) y = -8x + 5
Step-by-step explanation:
Just took the test!
Correct me if I'm wrong!
Thank you
Tisa B Sora
A sample of an unknown liquid has a volume of 3.0 mL and a mass of 12 g. What is its density?
Answers
Answer:
Density = mass divided by volume
12 divided by 3.0 = 4 g/mL
Step-by-step explanation:
Write a four-digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number is divisible by 2.
Answers
Answer:
2378
Step-by-step explanation:
it is even. plus 8 is a multiple of 2
Answer:
2738
Step-by-step explanation:
2738 divided by 2 is 1369, and 1369 multiplied by 2 is 2738 also I checked on a calculator lol.
Topic: Determining if given values are solutions to a two variable equation
Answers
Answer:
2. a & c
3. a, b & c
Step-by-step explanation:
Substitute each solutions to the question to see if you get the answer
a. 5(2)-0=10 -- so (2,0) is the solution
b. 5(3)-0=15 -- (3,0) is not the solution
c. 5(0)-(-10)=10 -- (0,-10) is the solution
d. 5(1)-(1)=4 -- (1,1) is not the solution
a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution
b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution
c. -(2)+ 6(2) = 10 -- so (2,2) is the solution
d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution
The answer
I don’t know how to do it
Answers
The values of a, b, c, and d, based on the given equation are:
\(a = 10\\b = 3\\c = -6\\d = -5\)
Let's calculate the values of a, b, c, and d based on the given table:
Using the equation \(y = x^2 - 4x - 2\), we can substitute the values of x and find the corresponding values of y:
For x = -3:
\(y = (-3)^2 - 4(-3) - 2 = 9 + 12 - 2 = 19\)
For x = -2:
\(y = (-2)^2 - 4(-2) - 2 = 4 + 8 - 2 = 10\)
For x = -1:
\(y = (-1)^2 - 4(-1) - 2 = 1 + 4 - 2 = 3\)
For x = 0:
\(y = (0)^2 - 4(0) - 2 = 0 - 0 - 2 = -2\)
For x = 1:
\(y = (1)^2 - 4(1) - 2 = 1 - 4 - 2 = -5\)
For x = 2:
\(y = (2)^2 - 4(2) - 2 = 4 - 8 - 2 = -6\)
For x = 3:
\(y = (3)^2 - 4(3) - 2 = 9 - 12 - 2 = -5\)
Now let's match these values with the table:
\(x , y = x^2 - 4x - 2\)
\(\[\begin{align*}(-3, 19) \\(-2, a) \\(-1, b) \\(0, -2) \\(1, -5) \\(2, c) \\(3, d) \\\end{align*}\]\)
From the given table, we have:
\(a = 10\\b = 3\\c = -6\\d = -5\)
Certainly! Here's a 100-word explanation of the given data:
The data provided consists of pairs of values, where the first column represents the x-values and the second column represents the y-values. Each row in the table corresponds to a data point. For instance, when x is \(-3\), the corresponding y-value is \(19\). Similarly, when x is \(-2\), the y-value is denoted as '\(a\)', and when \(x\) is -\(1\), the \(y\)-value is denoted as 'b'.
The pattern continues for the remaining data points, with specific values assigned to \(x \ and \ y\). This data set allows for the representation and analysis of relationships between the variables \(x \ and \ y\).
Therefore, the values of a, b, c, and d are:
\(a = 10\\b = 3\\c = -6\\d = -5\)
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Speed and travel time are inversely related, the faster you go, the less time it takes
to get to your destination. If it takes 20 minutes to get to school when you go 30 mph,
how long will it take to get to school if you travel 45 mph? (hint: speed=k/time)
Answers
Answer:
Step-by-step explanation:
speed = distance/time
however speed is a compound measure
distance to school = speed x time
= 30mph x 1/3hr
= 10m
time = 10m / 45mph
= 13.3 (recurring)
= 13 mins
what is the linear regression equation? (round your answers to three decimal places.) estimated tip amount
Answers
The linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.
First, collect data by having participants record the total bill amount and the amount of tip they gave.Next, calculate the linear regression equation by plotting the data points on a scatter plot and fitting a line of best fit.Once the line of best fit has been determined, calculate the equation of the line using the slope-intercept form.Finally, round the values of the equation to three decimal places, and the linear regression equation for estimating tip amount is y = 0.174x + 1.971, where x is the total bill amount and y is the estimated tip amount.Learn more about linear regression equation: https://brainly.com/question/25987747
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