The number line on which point A represents the ant's position after crawling 2/8 yard would be a number line labeled in units of yards, with O representing 0 and A representing 1/4 yard to the right of O.
To decide the place of the insect subsequent to creeping 2/8 yard from the insect mount, we really want to address this distance on a number line.
Since 2/8 can be rearranged to 1/4, we can address the distance crept by the subterranean insect as 1/4 of a yard.
To develop a number line to address this distance, we can begin with the point addressing the subterranean insect mount (we should call it point O) and separate a distance of 1/4 of a yard to one side of O. This point, which we can name as point A, addresses the place of the insect subsequent to creeping 2/8 yard (or 1/4 yard) from the insect mount.
The number line would have units of yards, with the distance between every unit separated similarly. The point O would address 0 on the number line, and the point A would address 1/4 yard on the number line.
Thus, the number line on which point An addresses the insect's situation in the wake of creeping 2/8 yard would be a number line named in units of yards, with O addressing 0 and An addressing 1/4 yard to one side of O.
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The complete question is:
An ant crawled 2/8 yard from an ant mount. On which number line does point A represent the ants position after crawling 2/8 yard?
Express your answer in numerals. Raj had 400 cookies. He sold 2 5 of them yesterday and 1 10 of them today. How many cookies did Raj have left?
Answer:
35
Step-by-step explanation:
Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?
Answer:
53+53=106
180-106=74
74 + 53= 127 (answer 1)
53+53=106 (answer 2)
74+53=127 9answer 3)
The measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Two angles of a triangle measure 53:
The measure of the angles of a triangle:
53, 53, (180-53-53)
53, 53, 74 in degrees
As we know,
The sum of the two interior angles of a triangle is equal to the exterior angle:
Exterior angle(1st vertex) = 53 + 53 = 106 degrees
Exterior angle(2nd vertex) = 53 + 74 = 127 degrees
Exterior angle(3rd vertex) = 74 + 53 = 127 degrees
Thus, the measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.
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Simplify 3 81x^8y^7z^2
Answer:
3
Step-by-step explanation:
3 is the answer im pretty sure
if its not them im sorry
HELP!!!! I LOVE YOU BY DAY WAYYY <3
32,8,83,88,58,58,66,11,34,23 calculate the range
Answer:
80
Step-by-step explanation:
After spending some time arranging the numbers in order, we get the sequential order as 8, 11, 23, 32, 34, 58, 58, 66, 83, 88.
Next, we need to find the range. The Range of a data set is the difference between the largest and smallest number.
Thus, 88 - 8 = 80 as the range.What is the meaning of "\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\)"?
The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.
What does the set show ?The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.
In other words, a set is inductive if it satisfies the following two conditions:
The set is non-empty.If x is an element of the set, then x+1 is also an element of the set.The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.
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HELP ASAP! I need help and I’m confused. Thanks!!
Answer:
The length of GH is also 12 because JH is the perpendicular bisector of GI which means both segments are divided exactly in half, so GH=HI so GH=12 which means HI=12. Hope that helps:)
Step-by-step explanation:
how to solve this?/answer?
Answer:
there's no answer for that because ot doesn't make sense
The number of gallons of milk in a tanker truck at time t, in minutes, is modeled by m(t). Interpret the
meaning of the following values in the context of the problem. m' (12) = -15
we can interpret the value of \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by 15 gallons per minute at time \(t = 12\) minutes.
What is the derivative of the function?The expression "m'(12)" represents the derivative of the function m(t) with respect to time t, evaluated at t=12. Geometrically, the derivative represents the instantaneous rate of change of the function at the point t=12.
In this case, m'(12) = -15 means that at the time t=12 minutes, the rate of change of the number of gallons of milk in the tanker truck is -15 gallons per minute. This indicates that the amount of milk in the truck is decreasing at a rate of 15 gallons per minute at time t=12.
To calculate m'(12), you need to take the derivative of the function m(t) with respect to t and then evaluate the result at t=12. Assuming you have the expression for m(t), the steps are as follows:
Differentiate m(t) with respect to t:
\(m'(t) = d/dt [m(t)]\)
Evaluate \(m'(t) at t=12:\)
\(m'(12) = m'(t=12)\)
Therefore, we can interpret the value of \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by \(15\) gallons per minute at time t = 12 minutes.
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27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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The box plots below show the distribution of salaries at two companies. Compare the ranges and medians of the data sets.
OA
Comp
LLL
Company A
Company B
The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.
The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.
This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.
The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.
This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.
In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.
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Which expression is equivalent to 4/9×7?
a roll of fruit gum has three of each of the following Red orange ,black,green and yellow what is the probability of choosing a red fruit gum
Answer:
1
Step-by-step explanation:
There are 2 ways to look at this problem: As a "standard" probability question, or as a combinations question.
"Standard" Probability
Consider the possibility that the draw takes place and we draw a red, followed by a green, followed by a yellow. Since there are originally 12 sweets, of which 5 are red. we know the probability of drawing a red is
5
12
. After we draw the red, there are 4 green out of 11 sweets (since the red is out), and so the probability of drawing the green is
4
11
. After we draw the green, there are 3 yellow out of 10 sweets, leaving the probability of drawing the yellow as
3
10
.
Using the Multiplication Principle, we can find the probability of the sequence RGY to be:
5
12
⋅
4
11
⋅
3
10
=
60
1320
=
1
22
.
However, that's not the only path towards our desired end. We could also draw the sweets in the order RYG and still be acceptable. In that case, following the same logic, the probability of going RYG is
5
12
⋅
3
11
⋅
4
10
=
1
22
.
Even still, there are other orders we could draw in to work out an acceptable result. In fact, there are 6 total: RGY, RYG, GRY, GYR, YRG, and YCR. Because of the commutative properties of fraction multiplication, it turns out that all 6 of these patterns have the exact same individual probabilities:
1
22
. Therefore, the total overall probability is
6
⋅
1
22
=
3
11
Combinations
As an alternative, we can solve this as a combinations problem. Since the order of the drawing of the sweets does not matter - only that we get exactly 1 of each of red, yellow, and green.
Overall, regardless of what is drawn, there are
12
C
3
ways to choose 3 sweets without replacement from the 12 sweets. However, we're interested in a combination which results in one of each.
Considering that there are 5 red sweets, there are
5
C
1
ways to choose a red sweet. Likewise there are
4
C
1
ways to choose a green sweet and
3
C
1
ways to choose a yellow sweet. Thus, our probability of drawing one of each color is:
5
C
1
⋅
4
C
1
⋅
3
C
1
12
C
3
=
5
⋅
4
⋅
3
220
=
60
220
=
6
22
=
3
11
Answer link
It takes 3/7 of an hour to paint 3/5 of a room? How long does it take to paint a room?
Answer:
Step-by-step explanation:
a) Dati cinci exemple de numere intregi mai mici ca zero.
Answer:
Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.
Step-by-step explanation:
A bakery has bagels displayed on 4 shelves.Each shelf has 2 baskets.Each basket has 8 bagels. How many bagels are displayed in all?Write an expression that represents the amount.
ANSWER
\(\begin{gathered} 64 \\ Expression\colon4\cdot2\cdot8 \end{gathered}\)EXPLANATION
There are 4 shelves with 2 baskets on each shelf and 8 bagels in each basket.
To find the number of bagels displayed in all, we have to find the product of the number of shelves, number of baskets, and number of bagels in each basket.
That is:
\(\begin{gathered} 4\cdot2\cdot8 \\ 64 \end{gathered}\)That is the answer.
What is the slope of the line that passes through the points (3, 1) and (–2, 5)? Responses −5/4 − 5/4 −4/5 − 4/ 5 4/5 5/4
Answer:-4/5
Step-by-step explanation:
How much of the pumpkin bread does edgar get in all find the quotient.
3 ÷ 5=??
Answer:
hi i am doing that i ready lesson right now the answer is 3/5
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
the number greater that 714,587
Answer:
714
Step-by-step explanation:
587,714 they arrange in orderly form
A number greater than 714,587 is 714,588
How to determine the number greater than 714,587?The complete question is added as an attachment
From the attached figure, we have:
Passengers = 714,587
Numbers greater than 714,587 would have a value greater than 714,587
This is represented as:
x > 714,587
The above inequality represents numbers greater than 714,587
An example of such number is 714,588
Hence, a number greater than 714,587 is 714,588
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What is the intermediate step in the form
(x+a)^2=b as a result of completing the square for the following question
The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)
To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:
1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).
2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).
3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:
\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).
4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).
This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)
This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.
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Question Below.
Answers: 250|253|254|255|307|433|434|435|507|.
First to answer this question the quickest is rewarded branliest + 100 points
Answer:
Minimum--> 250
Q1--> 255
Q2--> (Median): 307
Q3--> 433
Maximum-->507
Step-by-step explanation:
To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.
First, we need to sort the data set in ascending order:
{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }
Minimum: 250
Maximum: 507
To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.
Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.
Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.
Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.
a) -3 is greater than -16 because it is located to the ________of -16 on the number line.(is it left or right?)
b) -16 is less than -3 because it is located to the________of -3 on the number line.(is it left or right?)
a) right
b) left
hope this helps
At the craft store, Rudy bought a bag of green and red marbles. The bag contained 60 marbles, and 60% of them green. How many green marbles did Rudy receive?
Answer:
36 green marbles
Step-by-step explanation:
If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:
Green marbles = 60% x 60 marbles
To simplify this calculation, we can convert 60% to a decimal by dividing by 100:
Green marbles = 0.60 x 60 marbles
Green marbles = 36 marbles
Therefore, Rudy received 36 green marbles.
Answer: 36
Step-by-step explanation:
60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36
khan academy (8th grade math ) ,
Answer:
k=37
Step-by-step explanation:
If we plug in 2 for t, which it tells us is the input, then the output of the problem will be 37
k=13t-2
Plug in the value for t.
k=13(2)-2
k=39-2
k=37
Bromeliads are tropical flowering plants. Many are epiphytes that attach to trees and obtain moisture and nutrients from air and rain. Their leaf bases from cups that collect water and are home to larvae of many insects. As a preliminary to study of changes in the nutrient cycle, Jacqueline Ngai and Diane Srivastava examined the effects of adding nitrogen, phosphorus, or both to the cups. They randomly assigned 8 bromeliads growing in Costa Rica to each of four treatment groups, including an unfertilized control group. A monkey destroyed one of the plants in the control group, leaving 7 bromeliads in that group. Here are the numbers of new leaves on each plant over the seven months following fertilization:
Nitrogen Phosphorus Both Neither
16 14 14 11
15 14 16 13
15 14 15 16
17 11 14 15
17 13 14 15
18 12 13 11
18 15 17 12
13 15 14
(a) Give the degrees of freedom for the F statistic.
numerator degrees of freedom
denominator degrees of freedom
(b) Find the F-statistic. (Round your answer to two decimal places.)
F =
(c) Find the associated P-value. (Round your answer to four decimal places.)
(d) State conclusions. Select the correct answer.We have significant evidence at the 5% level that the means are not all the same.We do not have significant evidence at the 5% level that the means are not all the same..
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
Y: number of new leaves of Bromeliads grown under different types of fertilization.
Factor: Type of fertilizer
Treatments: 1. Nitrogen, 2. Phosphorus, 3. Both, 4. Neither (control group)
To compare these four groups you have to conduct an ANOVA
The hypotheses are:
H₀: μ₁= μ₂= μ₃= μ₄
H₁: At least one population mean is different from the others.
α: 0.05
a)
The degrees of freedom of the F-statistic are:
\(F_{I-1;N-I}= F_{4-1;31-4}= F_{3;27}\)
I= number of treatments
N= total number of experimental units (in all groups)
b)
SSTreatments= 39.37
SSError= 72.18
MSTreatments= SStreatments/DfTreatments= 39.37/3= 13.12
MSError=SSError/DfError= 72.18/27= 2.67
\(F= \frac{MS_{Treatments}}{MS_{Error}} = \frac{13.12}{2.67} = 4.91\)
c)
This test is one-tailed to the right and so is the p-value:
P(F₃;₂₇≥4.91)= 1 - P(F₃;₂₇<4.91)= 1 - 0.9925= 0.0075
d)
The decision rule using the p-value is:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
The p-value is less than α, the test is significant at 5% significance level.
"We have significant evidence at the 5% level that the means are not all the same."
I hope this helps!
The Thomas family just bought 4 crates of eggs, and each crate had 18 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?
Answer:
81
Step-by-step explanation:
4 x 18 =72 + 9 =81
which mathematical symbols are used to indicate that the endpoints of an interval are not included in the graph of an inequality?
Answer:
The mathematical symbols used to indicate that the endpoints of an interval are not included in the graph of an inequality are "<" and ">" signs with a small circle or parenthesis next to them.
The symbol "<" with a circle or parenthesis on the right side indicates that the endpoint is not included, while the symbol ">" with a circle or parenthesis on the left side indicates that the endpoint is not included.
For example, the inequality x > 3 indicates that the variable x is greater than 3, but does not include 3 in its solution set. Similarly, the inequality y < -2 with a circle or parenthesis on the left side indicates that the variable y is less than -2, but does not include -2 in its solution set.
Step-by-step explanation:
determine what type of model bets fits the given situation: A $500 raise in salary each year
The type of model that best fits the situation of a $500 raise in salary each year is a linear model.
In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.
In the given case, the dependent variable is the salary and the independent variable is the year.
You may build a table to show that for increments of 1 year the increments of the salary is $500:
Year Salary Change in year Change in salary
2010 A - -
2011 A + 500 2011 - 2010 = 1 A + 500 - 500 = 500
2012 A + 1,000 2012 - 2011 = 1 A + 1,000 - (A + 500) = 500
So, you can see that every year the salary increases the same amount ($500).
In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).
In this case, m = $500 and b is the starting salary: y = 500x + b.
pls help i am in k12
Refer to the equation 2x − 6y = 12.
Write the equation in Slope Intercept Form.
Find the x-intercept and the y-intercept?
Create a table of values for 4 points. You can include the intercepts. Show your work.
X
Y
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y yand solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): ( 6 , 0 )
y-intercept(s): ( 0 , − 2 )
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Slope: \(\frac{1}{3}\)
graph in pic
(Credit: M a t h w a y)
6) What is the correct unit for the following measurement?
Fred wants to know how much his dog weighs. (mass)
gm/cm3
cubic centimeters (cm3)
grams (g)
liters (L)
meters (m)
Celsius (°C)
Answer:
Grams
Step-by-step explanation:
Because we want to know the mass
Answer: grams (g)
Step-by-step explanation: