Population distribution is probability distribution that measures the frequency of sample provided. For the given problem condition I and III are met for the inference but condition II does not met. Thus the option A is correct option.
Given-Total students 500.
Total students surveyed by the counselor is 20.
Population distribution
Population distribution is probability distribution that measures the frequency of sample provided.
I)The data are collected using a random sampling method- All the students surveyed by the counselor is 20 is collected using a random sampling method. Hence the condition I is met for the inference.II) The sample size is large enough to assume normality of the distribution of sample means- The sample size for the given problem is 20. For a large population the sample size must equal to or greater than the 30.Hence the condition II is not met for the inference.III)The sample size is less than 10 percent of the population size- We have total student 500. The 10 percent of the population size is,[tex]P=\dfrac{10\times500}{100}[/tex]
[tex]P=50[/tex]
Here the 10 percent of the population size is 50. Our sample size is 20. Thus the sample size is less than 10 percent of the population size.Hence the condition III is met for the inference.
Hence, for the given problem condition I and III are met for the inference but condition II does not met. Thus the option A is correct option.
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3 markers cost $5.79.
Which equation would help determine the cost of 13 markers?
Choose 1 answer:
A.) 13/$5.79 = x/3
B.) x/13 = 3/$5.79
C.) 3/$5.79 = 13/x
D.)13/x = $5.79/3
E.) None of the above
Answer:
C. 3/$5.79 = 13/x
Step-by-step explanation:
We can write the fact that 3 markers cost $5.79 as a proportion:
3/$5.79
Let x represent the unknown cost of 13 markers. Since 13 markers cost x, we have the following proportion:
13/x
The cost changes along with the number of markers purchased, and so the two proportions are equivalent.
3/$5.79 = 13/x
Two apples and five bananas cost £4.20
Three apples and seven bananas cost £5.95
Work out the cost of an apple and the cost of a banana
The cost of an apple is 0.7 dollars and the cost of a banana is 0.35 dollars.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Two apples and five bananas cost £4.20.
Assuming no. of apples to be x and no. of bananas to be y.
∴ 2x + 5y = 4.20...(i) and,
Three apples and seven bananas cost £5.95.
∴ 3x + 7y = 5.95...(ii)
Now multiplying eqn(i) by 3 and eqn(ii) by 2 to cancel out x in both equations.
So, 6x + 15y = 12.6...(iii) and 6x + 14y = 11.9...(iv)
Subtracting eqn(iv) from eqn(iii) we get y = 0.7 and substituting value of y in eqn(iv) we get x = 0.35
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1. Calculate the H.C.F of a 2 b 5 and a 3 b 3 .
9514 1404 393
Answer:
a^2·b^3
Step-by-step explanation:
Factors of both terms include 'a' to some power, and 'b' to some power. The greatest common factor will use the lowest power of each of these variables.
powers of 'a' are a^2, a^3. Greatest common power is a^2
powers of 'b' are b^5 and b^3. Greatest common power is b^3
The highest common factor of both terms is a^2·b^3.
__
Additional comment
When that is factored out of the sum, you have ...
a^2b^5 +a^3b^3 = a^2·b^3(b^2 +a)
The remaining two terms (b^2+a) have no common factors—as it should be.
Perms and Combos Special Cases
If eight people eat dinner together, in how
many different ways may 3 order chicken, 4
order steak, and l order lobster?
treat each choice as a sonarate combination
Then as a counting principle
Jill spent of her money on a new shirt end of her Money on pants with a fraction of her money has she spent money on pants what fraction of her money has she spent
Answer:
This means Jill has spent exactly half of her money and she has exactly half of her money too left.
The fraction of her money she has spent = (1/2)
Step-by-step explanation:
The total fraction of money Jill has spent = (fraction of money she spent on a new shirt) + (fraction of money she spent on pants) = (1/6) + (1/3) = (3/6) = (1/2)
This means Jill has spent exactly half of her money and she has exactly half of her money too left.
Hope this Helps!!!
3. What is the area of the circle shown below?
Diameter:
28 inches
Pi=3.14
Step-by-step explanation:
Given diameter (d) = 28 inches
π = 3.14
Radius (r) = 28/2= 14 inches
Now
Area of the circle
= πr²
= 3.14 * 14²
= 615.44 inch ²
What is the area of this composite figure?
A figure is comprised of 1 rectangle and 2 triangles. The rectangle has a length of 16 centimeters and width of 10 centimeters. Both triangles have a base of 16 centimeters and height of 6 centimeters.
96 centimeters squared
160 centimeters squared
208 centimeters squared
256 centimeters squared
Answer:
256 cm squared
Step-by-step explanation:
Just did the Quiz, hope this helps!
The area of this composite figure is 256 centimeters squared, the correct option is D.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
Measure of rectangle = 16x10
Measure of triangle base of 16 centimeters and height of 6 centimeters.
Now,
The area of the composite figure can be calculated by adding the area of the rectangle and the area of the two triangles.
The area of the rectangle is 16 * 10 = 160 cm^2. The area of one triangle is 1/2 * 16 * 6 = 48 cm^2. The area of two triangles is 2 * 48 = 96 cm^2.
160 + 96 = 256 cm^2.
Therefore, by the given composite figure the answer will be 256 centimeters squared.
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IF SOMEONE ANSWERS WITHIN 5 MINUTES THEY WILL GET BRAINLIEST ANSWER
Among a group of 86 investors, 23 owned shares of Stock A, 33 owned shares of Stock B, 44 owned shares of Stock C, 11 owned shares of both Stock A and Stock B, 10 owned shares of Stock A and Stock C, 17 owned shares of Stock B and Stock C, and 7 owned shares of all three. How many investors did not have shares in any of the three? How many owned shares of either Stock A or Stock C but not Stock B?
A. 24,33
B. 17,36
C. 17,33
D. 17,40
Answer:
A
Step-by-step explanation:
Hi!
This one's a bit hard to explain! IF you want explanation, just comment.
Using the data given, we can conclude that [tex]\boxed{A}[/tex] is the correct answer.
Hope this helps!
Seven people went to the movies.
The number of adults was one more
than the number of children. How
many adults and children went to the
movies?
Answer:
4 adults 3 children
Step-by-step explanation:
Final answer:
To solve the problem, we set c as the number of children, and deduced that a = c + 1 for the number of adults, leading to 3 children and 4 adults going to the movies.
Explanation:
The question is about solving a basic algebra problem involving a small group of people going to the movies. To find out how many adults and children went to the movies, we can set up an equation based on the information provided. Let c represent the number of children. Since the number of adults is one more than the number of children, we have a = c + 1 for the number of adults. Together, they total seven people, so we can write the equation c + (c + 1) = 7. Simplifying this equation gives us 2c + 1 = 7. Solving for c, we subtract 1 from both sides to get 2c = 6, and then divide by 2 to find c = 3. This means there were 3 children. Since there is one more adult than children, a = 3 + 1 = 4, which gives us 4 adults. Therefore, there were 3 children and 4 adults that went to the movies.
Jane is is charge of making a banner for the basketball game this Saturday. She measures how long the banner is before painting it. She finds it measures 10 meters, which measurement did Jane find?
Answer:
The measurement which Jane finds to be 10 meters is the length of the banner.
Step-by-step explanation:
The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.
This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.
It is possible to find the AREA, or PERIMETER, or LENGTH.
But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.
Answer:
length
Step-by-step explanation:
for answer above: TYSM I NEEDED THAT SO BADLY i struggled with math my entire life and hardly understand when people teach math that really helped explain that problem tysm!!!
A sample of 16 atm transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the test statistic to decide whether the mean transaction time exceeds 60 seconds.
Answer:
[tex]t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33[/tex]
Step-by-step explanation:
Data given and notation
[tex]\bar X=67[/tex] represent the sample mean
[tex]s=12[/tex] represent the sample standard deviation
[tex]n=16[/tex] sample size
[tex]\mu_o =60[/tex] represent the value that we want to test
t would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean is higher than 60, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 60[/tex]
Alternative hypothesis:[tex]\mu > 60[/tex]
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
[tex]t=\frac{67-60}{\frac{12}{\sqrt{16}}}=2.33[/tex]
the common ratio in a geometric series is 4 and the first term is 3 find the sum of the first 8 terms in the series
Answer:It’s b
Step-by-step explanation:
Girl it’s sum
Answer: 65535
Step-by-step explanation:
a standard golf ball has a diameter of 1.68 inches. the material used to make the golf ball weighs .6523 ounces per cubic inch. what is the weight, to the nearest hundredth of an ounce, of one golf ball?
Given:
Given that the standard golf ball has a diameter of 1.68 inches.
Radius of the golf ball is 0.84 inches.
The material used to make the golf ball weighs 0.6523 ounces per cubic inch.
We need to determine the weight of one golf ball.
Volume of the golf ball:
The volume of the golf ball can be determined using the formula,
[tex]V=\frac{4}{3} \pi r^3[/tex]
Substituting r = 0.84, we get;
[tex]V=\frac{4}{3} (3.14)(0.84)^3[/tex]
[tex]V=2.481\ in^3[/tex]
Thus, the volume of one golf ball is 2.481 cubic inches.
Weight of one golf ball:
The weight of one golf ball can be determined by multiplying the volume of the golf ball with 0.6523 ounces per cubic inch.
Thus, we have;
[tex]Weight=2.481 \times 0.6523[/tex]
[tex]Weight = 1.62[/tex]
Thus, the weight of one golf ball is 1.62 ounces.
Final answer:
To find the weight of a golf ball, calculate its volume using its diameter, then multiply the volume by the weight of the material. The weight of one golf ball is approximately 1.80 ounces.
Explanation:
To find the weight of one golf ball, we first need to calculate its volume. The diameter of the golf ball is given as 1.68 inches, so the radius is 0.84 inches. Using the formula for the volume of a sphere, V = (4/3)πr³, we find the volume to be approximately 2.759 cubic inches.
Next, we calculate the weight of the golf ball by multiplying the volume by the weight of the material per cubic inch. Given that the material weighs 0.6523 ounces per cubic inch, multiplying this by the volume of the golf ball gives us the weight. Therefore, the weight of one golf ball is approximately 1.80 ounces.
4. Entomologists introduce 20 of one
variety of insect to a region and determine
that the population doubles every 6
hours.
part A Write an equation to model
this situation. Assume that the soulation
is continuously growing, and let t Represent
days.
part B What will the population be in 10 days?
part C How long will it take until the population reaches 100000?
Answer:
This number can be found using the Rule of 70, which describes the formula dt = 70 / r, where dt is the doubling time, and r is the annual rate of growth.
Step-by-step explanation:
24/6 = 4
20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320
20 ---> 320 in the first day.
Keep doing this equation. Multiply each day's end result by 2 four times for 9 more days.
Find the area of the triangle below.
A.√3/2
B.√3
C.2√3
D.2√2
Answer: A
A= 1/2 x b x h
1/2(1)(1 sq rt 3)= .866
Sq rt 3 /2 = .867
Step-by-step explanation:
Students in a marching band want to line up for their performance. The problem is that when they Line up in twos there is 1 left over. When they line up in threes there are 2 left over. When they line up in fours there are 3 left over. When they line up in fives there are 4 left over. When they line up in sixes there are 5 left over. When they line up in sevens there are no students left over. How many students are there?
Answer:
x = 119
Step-by-step explanation:
Solution:-
- The number of students in a marching band = x
- When they Line up in "twos" there is 1 left over, That if we mathematically express it:
Division: x / 2 , Remainder = 1
- When they Line up in "threes" there is 2 left over, That if we mathematically express it:
Division: x / 3 , Remainder = 2
- When they Line up in "fours" there is 3 left over, That if we mathematically express it:
Division: x / 4 , Remainder = 3
When they Line up in "fives" there is 4 left over, That if we mathematically express it:
Division: x / 5 , Remainder = 4
When they Line up in "sixes" there is 5 left over, That if we mathematically express it:
Division: x / 6 , Remainder = 5
When they Line up in "sevens" there are no left over, That if we mathematically express it:
Division: x / 7 , Remainder = 0
- It means that the total number of "x" students are perfectly divisible by 7. If it is not divisible by 2, then it is an odd number.
- So,
x = 7 * a
Where, x > 7 and exclude derivative multiples of (5, 4 , 6)
- So from trial and error, a = 17
x = 119
Using multiples and remainder of divisions, it is found that there were 119 students there.
-------------------------
When they line up in sevens, no students remain, thus, the number of students is a multiple of 7.When they line up in two's, there is 1 left over, thus, the number of students is odd.When they line up in three's, there are 2 left over, thus, the remainder of the division of the number of students n and 3 is 2.When they line up in fives, there are 4 left over, thus, the remainder of the division of the number of students n and 5 is 4.When they line up in sixes there are 5 left over, thus, the remainder of the division of the number of students n and 6 is 5.-------------------------
Shortening the possibilities, we look at odd multiples of 7, which are: {7, 21, 35, 49, 63, 77, 91, 105, 119, ...}
21, 63 and 105 are multiples of 3, so these are not the number of students.35 is multiple of 5, so it is also disconsidered.The remainder of the division of 119 and 3 is 2.The remainder of the division of 119 and 5 is 4.The remainder of the division of 119 and 6 is 5.Thus, 119 is the number of students.
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¿Cuál es el valor de la razón de cambio cuando tenemos un vaso con agua a temperatura ambiente al congelador por 15 minutos?
Answer: [tex]2 \°C/min[/tex]
Step-by-step explanation:
The rate of change is a measure in which one variable is modified in relation to another. In this case we have the variables:
Temperature in [tex]\°C[/tex]
Time in [tex]min[/tex]
Now, to calculate the rate of change, we have to divide one variable by the other. In this case the change in temperature [tex]\Delta T[/tex] divided by the time variation [tex]\Delta t[/tex].
Hence, assuming the ambient temperature of the glass is [tex]30 \°C[/tex] and the elapsed time [tex]15 min[/tex] we have:
[tex]\frac{\Delta T}{\Delta t}=\frac{30 \°C}{15 min}=2 \frac{\°C}{min}[/tex]
PLEASE HELP!!! SHOW ALL YOUR WORK WORTH 30 Points!!!!
Answer:
A
1) horizontal translation of 2 units towards left
2) vertical translation of 10 units upwards
B)
1) k = -2
2) k = 10
C)
1) g(x) = f(x + 2)
2) g(x) = f(x) + 10
Step-by-step explanation:
A & B)
1) horizontal translation of 2 units towards left
2) vertical translation of 10 units upwards
C)
1) g(x) = f(x + 2)
2) g(x) = f(x) + 10
Sarah saved $15 buying the dress
at a 20%-off sale. What was the
regular price of the dress?
Answer:
$18
Step-by-step explanation:
since she saved 20% you turn the percentage into a decimal which is .20 then multiply it by 15 because that's how much she saved and you get $3 which you add to $15 and you get the regular price which is $18
When you start choose a pokemon starter in this game
there your choices are: Bulbasaur (green one), Squirtle
(blue one), & Charmander (red one). If you chose one
at random, what would be the probability of choosing
Squirtle?
Answer:
1/3 or 33.3%
Step-by-step explanation:
theres 3 total, and one squirtle so it's 1/3
Original price of a book: $90.50
Tax: 4%
Answer:
The tax is $3.62
So the price now is $94.12
Answer:
$94.12
Step-by-step explanation:
If the original price is $90.5 then you would have to multiply
90.50*104%,you multiply 104% because 100% is sopposed to be the original price and the tax adds up the price by 4% so,
100%+4%=104%
104%*90.50=$94.12
From a standard deck of cards, what is the probability of choosing...
a) a red and then a club without replacement?
b) a 3, then a 7, then a face card without replacement?
c) a diamond, then a heart, then a black card without replacement?
d) a number card then a face card with replacement?
You have to answer a,b,c, and d to get the full amount of 50 points!!! good luck!
Answer:
a) 13/102
b) 24/16575
c) 169/5100
d) 30/169
Step-by-step explanation:
a) 26/52 × 13/51
13/102
b) 4/52 × 4/51 × 12/50
1/13 × 4/51 × 6/25
24/16575
c) 13/52 × 13/51 × 26/50
1/4 × 13/51 × 13/25
169/5100
d) 40/52 × 12/52
10/13 × 3/13
30/169
Answer:
13/102
8/5525
169/5100
10/39
Step-by-step explanation:
a. there are 26 red cards in a standard deck and 13 clubs
P (red) = 26/52 =1/2
Then we keep the card, so there are only 51 cards left
P ( club) = 13/51
P (red, no replacement, club) = P (red) * P(club) = 1/2 *13/51 = 13/102
b. there are 4 three's in a standard deck 4 7's 12 face cards, assuming an A is not a face card (jack , queen king are face cards, 1 of each suit 3*4 =12)
P (3) = 4/52 =1/13
Then we keep the card, so there are only 51 cards left
P (7) = 4/51
Then we keep the card, so there are only 50 cards left
P (face card) = 12/50 = 6/25
P (3, no replacement, 7,no replacement, face)
= P (3) * P(7)* P (face) = 1/13 *4/51*6/25 =8/5525
c. there are 13 diamonds in a standard deck 13 hearts and 26 black cards
P (diamond) = 13/52 =1/4
Then we keep the card, so there are only 51 cards left
P (heart) = 13/51
Then we keep the card, so there are only 50 cards left
P (black) = 26/50 = 13/25
P (diamond, no replace, heart,no replace, black)
= P (diamond) * P(heart)* P (black) = 1/4*13/51*13/25 =169/5100
d assuming an aces is a number card
there are 40 number cards and 12 face cards
P (number) = 40/52 =10/13
Then we keep replace card, so there are 52 cards left
P ( face) = 12/52=1/3
P (number, replace, face) = 10/13 * 1/3 =10/39
PLEASE HELP I HAVE THE ANSWER JUST NEED THE WORK!
Answer:
in expanded form the summation is
2 + 4 + 6 .... upto 20 + 2 y^6 × 10
= 110 + 20y^6
Adam recorded the number of flower blooms on each of his ten rose bushes. 9, 10, 4, 12, 15, 17, 18, 10, 12, 13 If he combined the number of blooms into one data set, which box plot correctly displays the data? A) A B) B C) C D) D
Answer:
The correct option is;
A)
Step-by-step explanation:
The box plot diagram will be constructed as follows
From the question data we have that;
9, 10, 4, 12, 15, 17, 18, 10, 12, 13
Rearranging we have
4, 9, 10, 10, 12, 12, 13, 15, 17,18,
The minimum = 4
The maximum = 18
Median = 12
The lower quartile Q₁ = 10
The upper quartile Q₂ = 15
Therefore, the correct option for the flower blooms on Rose brushes is A.
Answer:
The box plot that correctly displays the data is A.
Correct statement, question and graph:
Adam recorded the number of flower blooms on each of his ten rose bushes.
9, 10, 4, 12, 15, 17, 18, 10, 12, 13
If he combined the number of blooms into one data set, which box plot correctly displays the data?
A)
B)
C)
D)
Source:
Previous question that can be found at brainly
Step-by-step explanation:
1. Let's order the data from smallest to largest.
4, 9, 10, 10, 12, 12, 13, 15, 17, 18
2. Let's find the median, this way:
Median = (5th number + 6th number)/2
Median = 12 + 12/2 = 24/2 = 12
3. Let's find out the quartiles.
The first quartile is the median of the data points to the left of the median.
4, 9, 10, 10, 12
Q₁ = 10
The third quartile is the median of the data points to the right of the median.
12, 13, 15, 17, 18
Q₃ = 15
The box plot that correctly displays Q₁, median and Q₃ is box plot A.
In Box B, Q₁ = 9, median = 10 and Q₃ = 14In Box C, Q₁ = 9, median = 10 and Q₃ = 12 with values from 6 to 12In Box D, Q₁ = 5, median = 9 and Q₃ = 14Find the expression for the area of the figure. Give your answer as a simplified radical.
Answer:
D
Step-by-step explanation:
Area of rectangle= length × breadth
Area of figure
[tex] = ( \sqrt{15x}) ( \sqrt{10x} ) \\ = \sqrt{(10x)(15x)} \\ = \sqrt{150 {x}^{2} } \\ = \sqrt{6(25 {x}^{2}) } \\ = (\sqrt{6} )( \sqrt{( {5x})^{2} } ) \\ = ( \sqrt{6} )(5x) \\ = 5x \sqrt{6} [/tex]
Distributive property for
14x+21y+7z
Answer:
7(2x+3y+z)
Step-by-step explanation:
A fruit stand has to decide what to charge for their produce. They need $ 10 for 4 apples and 4 oranges. They also need $ 15 for 6 apples and 6 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?
Answer:
No
Step-by-step explanation:
Say the price of 1 apple is x and the price of 1 orange is y. Then, we can write the two equations:
4x + 4y = 10
6x + 6y = 15
We can try to solve this by elimination, which means getting rid of one variable so that we're left with only 1 variable to solve for. Multiply the top equation by 3 and the bottom equation by 2:
3 * (4x + 4y) = 10 * 3 ⇒ 12x + 12y = 30
2 * (6x + 6y) = 15 * 2 ⇒ 12x + 12y = 30
Subtract the bottom equation from the top:
12x + 12y = 30
- 12x + 12y = 30
______________
0 + 0 = 0
Since we result in 0 = 0, that means any values of x and y we put into the equations will work, so we cannot find a unique price.
Hope this helps!
Answer:
No
Step-by-step explanation:
4A + 4O = 10
6A + 6O = 15
The second equation is just a multiple of the first one, so we don't have two distinct equations to solve for the prices
Find the radius r of the sphere.
Given:
The volume of the sphere = 12348π in³
To find the radius of the sphere.
Formula
The volume of a sphere of radius r is
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
According to the problem,
[tex]\frac{4}{3} \pi r^{3} = 12348\pi[/tex]
Eliminating π from both the side.
or, [tex]\frac{4}{3} r^{3}= 12348[/tex]
or, [tex]r^{3}=\frac{(12348)(3)}{4}[/tex]
or, [tex]r^{3}=9641[/tex]
or, [tex]r=\sqrt[3]{9261}[/tex]
or, [tex]r=21[/tex]
Hence,
The radius of the sphere is 21 inches.
Answer:
21 inches
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We know the volume
12348 pi = 4/3 pi r^3
Divide each side by pi
12348 pi/pi = 4/3 pi r^3 /pi
12348 = 4/3 r^3
Multiply each side by 3/4
12348 *3/4 = 4/3*3/4 r^3
9261 = r^3
Take the cubed root of each side
9261^ (1/3 ) = r^3 ^1/3
21 =r
x² + 3x + 2
What do I do
Answer:
(x+2)(x+1)
Step-by-step explanation:
it factors to (x+2) and (x+1) then the answers are -2 and -1
best estimate for the quotient of 2 5/6 divided by 1/3
Answer:
the best answer for this is 8.5, if you choose to round up it would be about 9
Step-by-step explanation:
To estimate the quotient of 2 5/6 divided by 1/3, convert the mixed number to an improper fraction and multiply by the reciprocal of the divisor.
Explanation:To find the best estimate for the quotient of 2 ⅝ divided by ⅓, we can convert the mixed number to an improper fraction and then multiply by the reciprocal of the divisor. First, convert 2 ⅝ to an improper fraction: 2 x 6 + 5 = 17/6. Next, multiply 17/6 by the reciprocal of 1/3: 17/6 x 3/1 = 51/6. Simplifying the fraction gives the answer as 8 1/2. Therefore, the best estimate for the quotient is 8 1/2.
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