Final answer:
The sum of two positive numbers always has a positive sign, so the sum of 3/5 + 3/5 is positive.
Explanation:
The question what is the sign of 3/5 + 3/5 involves understanding the rules of addition for numbers with the same sign. According to the rules of addition:
When two positive numbers add, the answer has a +ve sign.
Since both fractions 3/5 and 3/5 are positive, their sum will also have a positive sign. Therefore, the sign of the sum 3/5 + 3/5 is +ve, which means the answer is also positive.
Write an equation of the line that passes through the
points.
(0, 3), (1, 4)
Answer:
y=x+3
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(4-3)/(1-0)
m=1/1=1
y-3=1(x-0)
y-3=x
y=x+3
help is neededdd please
Answer:
○ C. [tex]\displaystyle y = \frac{1}{2}x + 10[/tex]
Step-by-step explanation:
9 = ½[−2] + b
−1
[tex]\displaystyle 10 = b \\ \\ y = \frac{1}{2}x + 10[/tex]
** Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so −2 becomes ½.
I am joyous to assist you anytime.
Jose wrote the number 36. If his rule is add 6, what is the fourth
number in Jose's pattern? How can you check your answer?
Answer:
60
Step-by-step explanation:
36+6=42
42+6=48
48+6=54
54+6=60
Only 6 pleasee it’s due tomorrow thanks
Answer:
a) The amount of edging needed = 7.54 meters
b) Cost to edge the garden = $32.80
Step-by-step explanation:
a)
the amount of edging needed is basically the circumference (perimeter) of the circle. It has the formula:
[tex]C=2\pi r[/tex]
Where
C is the circumference
r is the radius
Given, diameter = 2.4, radius is HALF of it, so
r = 2.4/2 = 1.2
Now, finding circumference:
[tex]C=2\pi r\\C=2\pi (1.2)\\C=7.54[/tex]
The amount of edging needed = 7.54 meters
b)
$4.35 is needed to edge 1 meter, since we need 7.54 meters, we find the total cost by multiplying 4.35 with 7.54, so we have:
4.35*7.54 = $32.80
Cost to edge the garden = $32.80
What is the slope of the line depicted in this graph? Answer must be written in simplest form.
Answer:
[tex]\large\boxed{\bold{SLOPE}=\dfrac{1}{3}}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have two points (0, 4) → b = 4, and (3, 5).
Calculate the slope:
[tex]m=\dfrac{5-4}{3-0}=\dfrac{1}{3}[/tex]
If you want the equation of a line, then put the value of m and b to the equation of a line:
[tex]y=\dfrac{1}{3}x+4[/tex]
The result of which expression will best estimate the actual product
06-1(4)-10-1)
06-1(4)-100
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Submit
Mark this and return
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6
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Answer:
The answer is,
[tex](-1) \times \frac {1}{2} \times (-1) \times (1)[/tex]
Step-by-step explanation:
The given product is,
[tex]\frac {-4}{5} \times \frac{3}{5} \times \frac{-6}{7} \times \frac {5}{6}[/tex]
= [tex]\frac {12}{35}[/tex]
[tex]\simeq 0.3429[/tex] ---------------------(1)
Now, the first product to compare is,
[tex](-1) \times \frac {1}{4} \times (-1) \times (-1)[/tex]
= - 0.25 ----------------------------(2)
The second product to compare is,
[tex](-1) \times \frac {1}{2} \times (-1) \times (1)[/tex]
= 0.5 ------------------------(3)
The 3rd product to compare is,
[tex]\frac {-4}{2} \times \frac {3}{2} \times \frac{-2}{5} \times \frac {5}{2}[/tex]
= 3 ----------------------------(4)
The 4th product to compare is,
[tex]\frac {-3}{4} \times \frac {-3}{4} \times \frac {-1}{5} \times \frac {1}{2}[/tex]
= [tex]\frac {-9}{160}[/tex]
= 0.05625 -----------------(5)
Comparing all the values , we get (3) is closest to (1).
Hence, we get, the answer is,
[tex](-1) \times \frac {1}{2} \times (-1) \times (1)[/tex]
Judy wants to buy some cookies for her birthday party. Cookies come in packages of 6. If she is inviting 24 friends to her party, how many packages of cookies does she need to buy so that each of her friends can have one cookie each?
Judy needs to buy 4 packages of cookies for her party, with each package containing 6 cookies to serve her 24 friends.
Explanation:Judy wants to buy some cookies for her birthday party, ensuring each of her 24 friends receives one cookie. Cookies are sold in packages of 6. To calculate the number of packages she needs, divide the total number of friends by the number of cookies in a package.
Calculation: 24 friends ÷ 6 cookies per package = 4 packages
Judy needs to buy 4 packages of cookies to have enough for each friend to have one cookie.
Permutations & Cominations:
Your friend is having a party and has 15 games to choose from. There is enough time to play 4 games. In how many ways can you choose the four games?
Answer:
32760 ways
Step-by-step explanation:
Suppose we all want to play different games, so 4 different games. At the first game there are 15 choices, at the 2nd game there are 14, the 3rd one there are 13 selections, and at the last there are only 12 options to select from. Then the total number of ways you can choose the 4 games is
15*14*13*12 = 32760 ways
There are 1,365 ways to choose four games out of the 15 available games.
Step 1
To find the number of ways you can choose four games out of the 15 available games, we use the combination formula:
[tex]\[ C(n, k) = \frac{n!}{k!(n-k)!} \][/tex]
Where n is the total number of games (15) and k is the number of games to choose (4).
Step 2
Plugging in the values:
[tex]\[ C(15, 4) = \frac{15!}{4!(15-4)!} \][/tex]
[tex]\[ = \frac{15!}{4! \times 11!} \][/tex]
[tex]\[ = \frac{15 \times 14 \times 13 \times 12}{4 \times 3 \times 2 \times 1} \][/tex]
[tex]\[ = \frac{32,760}{24} \][/tex]
[tex]\[ = 1,365 \][/tex]
You can choose the four games out of the 15 available games in 1,365 ways, calculated using the combination formula.
What is the slope of a line
Answer:
y=mx+b form; m is the slope
Step-by-step explanation:
So the slope would be the m
Answer: -a/b
Step-by-step explanation:
ax+by=c right?
then slope = -a/b
Springfield nuclear energy inc bonds are currently trading at 283.30. The bonds have a face value of $1,000, a coupon rate of 2% with coupons paid annually, and they mature in 20 years. What is the yield to maturity of the bonds?
Answer:
The yield to maturity of the bonds is 11%
Explanation:
Price at which the bonds is currently trading = 283.30$
Face Value = $1000
Coupon rate = 2%
Hence the coupon bond rate = $1000 ×2%
= [tex]1000\times \frac{2}{100}[/tex]
=$20
Years to maturity: 20 years
Formula used:
=[tex]\frac{(C+ (\frac{(F-P)}{n}))}{(\frac{(F+P)}{2})}[/tex]
Where C is the bond coupon rate
F is the face value
P is the price
N is the number of years
=[tex]\frac{(20 +(\frac{(1000-283.30)}{20})}{(\frac{(1000+283.30)}{2})}[/tex]
=11%
The yield to maturity of the bonds is 11%
Find the sales tax on a purchase of $18.95 if the tax rate is 6%
Answer: 1.14
Step-by-step explanation:
hate how you gotta pay just to see an answer
The required sales tax on purchases of $18.95 is $1.14.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Amount = $18.95
Sales tax applies is 6% on the amount,
Now,
Sales tax is given as,
tax = amount × tax percentage / 100
tax = 18.95 × 6 / 100
tax = 1.14
Thus, the required sales tax on purchases of $18.95 is $1.14.
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What are the center and vertices of the ellipse given by (x-10)^2/49+(y+4)^2/4=1?
The center of the ellipse is (10 , -4) and its vertices are (17 , -4) , (3 , -4)
Step-by-step explanation:
The standard form of the equation of an ellipse with center (h , k)
and major axis parallel to x-axis is [tex]\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1[/tex]
The coordinates of the vertices are (h ± a , k ) The coordinates of the foci are (h ± c , k), where c² = a² - b²∵ The equation of the ellipse is [tex]\frac{(x-10)^{2}}{49}+\frac{(y+4)^{2}}{4}=1[/tex]
- Compare it by the standard form of the equation of an ellipse
∴ h = 10 and k = -4
∴ a² = 49 and b² = 4
∵ The center of the ellipse is (h , k)
∴ The center of the ellipse is (10 , -4)
∵ Its vertices are (h + a , k) and (h - a , k)
∵ a² = 49
- Take square root for both sides
∴ a = 7
∵ h = 10 and k = -4
- Substitute the values of h , a , k in the vertices above
∴ Its vertices are (10 + 7 , -4) and (10 - 7 , -4)
∴ Its vertices are (17 , -4) and (3 , -4)
The center of the ellipse is (10 , -4) and its vertices are (17 , -4) ,
(3 , -4)
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Study the following distribution chart.
Number Frequency
1,400 3
1,450 7
1,500 7
1,550 5
1,600 4
1,650 2
1,700 1
What is the mode?
1,500
1,450 and 1,500
1,550
1,525
Answer:
1,450 & 1,500
Step-by-step explanation:
it occured 7 times each
sorry for my hand writing
A building is 2 ft from a 7 - ft fence that surrounds the property . A worker wants to wash a window in the building 11 ft from the ground . He plans to place a ladder over the fence so it rests against the building . (See the figure .) He decides he should place the ladder 7 ft from the fence for stability . To the nearest tenth of a foot , how long a ladder will he need ?
Answer:
The ladder is approx 14.21 feet long.
Step-by-step explanation:
The base of the ladder is 7 feet from the fence, which is 2 feet from the building, so it will be 9 feet from the building.
The top of the ladder will reach the window which is 11 feet from the ground.
In this way, we get a right triangle with the ladder as the hypotenuse, that we have to find.
Let the hypotenuse be x.
Using the Pythagorean Theorem, we get;
Hence, the ladder is approx 14.21 feet long.
The expression 1,000(1.0175)2+ describes the amount of money in a savings account after years. Complete the statements.
each year.
The Interest rate is compounded_____each year
1- 1 time
2-2 times
3- 4 times
4- 12 times
The annual Interest rate on the account is ____
1- 1.75%
2- 3.50%
3- 3.53%
4- 3.56%
Answer:
a) 1 time
b) 1.75%
Step-by-step explanation:
a) The given expression is 1,000(1.0175)^2
Here,
1,000 is the principal (Present Value); (1.0175 = 1 + 0.0175) is the compounding interest rate; and 2 is the number of period (Years).
Since two means 2nd year, therefore, the interest is compounded every year. Hence, it is annual compounding interest.
If the interest rate is compounded annually, the interest will be paid one time each year or period.
b) From part a, if we break the expression,
1,000 is the principal (Present Value); (1.0175 = 1 + 0.0175) is the compounding interest rate; and 2 is the number of period (Years).
Since the interest rate is to be compounded annually, the percentage will not affect.
(1.0175 = 1 + 0.0175) in this expression, one is added to the interest to make the future compounding value.
Therefore, 0.0175 is the interest rate. If we take it to the percentage -
0.0175 x 100 = 1.75%.
Answer:
a) 1 time
b) 1.75%
Step-by-step explanation:
yes
In the year 2007, a person bought a new car for $16000. For each consecutive year after that, the value of the car depreciated by 5%. How much would the car be worth in the year 2011, to the nearest hundred dollars?
The car would be worth $13,000 in the year 2011.
Explanation:To calculate the value of the car in the year 2011, we need to find the depreciated value of the car each year from 2007 to 2011. The value of the car depreciates by 5% each year, which means it retains 95% of its value each year. Here are the calculations:
Year 2007: $16,000Year 2008: $16,000 x 0.95 = $15,200Year 2009: $15,200 x 0.95 = $14,440Year 2010: $14,440 x 0.95 = $13,718Year 2011: $13,718 x 0.95 = $13,032Therefore, in the year 2011, the car would be worth $13,000 to the nearest hundred dollars.
Two ships depart from a port at the same time, one heading south and the other east. Seven hours later, they are separated by a distance of 170 miles. If the ship going south travels 70 miles more than the other, how many miles does each vessel travel?
Answer: 80 miles for the first ship, and 150 miles for the other.
Explanation:
First thing we should do is correspond each number with a letter:
Let x be the distance travel by ship heading east
Let y be the distance travel by ship heading south
y = x + 70 -- (1)
sqrt(x^2 + y^2) = 170 -- (2)
Subtract (1) into (2):
sqrt(x^2 + (x + 70)^2) = 170
x^2 + x^2 + 140x + 4900 = 28900
2x^2 + 140x - 24000 = 0
x ^2 + 70x - 12000 = 0
(x - 80)(x + 150) = 0
x = 80 or -150
Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)
Subtract (3) into (1), therefore, y = 150
Hope this helps! :)
Simplify to create an equivalent expression.
-5(3p+3)+9(-7+p)
Answer:
-6(p+13)
Step-by-step explanation:
-5(3p+3)+9(-7+p)
-15p-15-63+9p
-15p+9p-15-63
-6p-15-63
-6p-78
simplify
-6(p+13)
Answer:
-6p-78
Step-by-step explanation:
Khan
BTW: Its 100% correct
If you hike 1/2 mile every 1/5 hour how far do you hike in two hours?
Answer:
5 miles
Step-by-step explanation:
0.5 x 10
= 5
Answer:
5 Miles
Step-by-step explanation:
1/5 of an hour would be 12 minutes. If it is 1/2 mile every 1/5 our, you hike 1 mile for 2/5.
1/5 = 1/2
2/5 = 1
3/5 = 1 1/2
4/5 = 2
5/5 = 2 1/2
So if 1 hour is 2 1/2 miles, you multiply it by 2, or add it withh its same number, which is,
5 miles.
Which triangles must be congruent?
Answer:
Δ ABC ≅ Δ FDE ≅ Δ GIH
Step-by-step explanation:
Between Δ ABC and Δ FDE, given that
(i) AB = DF
(ii) BC = HI and DE = HI, hence, BC = DE
(iii) ∠ B = ∠ D
Hence, by Side-Angle -Side i.e. SAS criteria Δ ABC ≅ Δ FDE
Again, between Δ ABC and Δ GIH, given that
(i) AB = GI
(ii) BC = HI and
(iii) ∠ B = ∠ I.
Hence, by Side-Angle-Side i.e. SAS criteria Δ ABC ≅ Δ GIH.
Therefore, Δ ABC ≅ Δ FDE ≅ Δ GIH (Answer)
3.
12 gallons of water fill a tank to – capacity.
What is the capacity of the tank?
b. If the tank is then filled to capacity, how many half-gallon bottles can be filled with the water in the tank?
Answer:
a. 16 gallons
b. 32
Step-by-step explanation:
Let the full capacity of the tank is x gallons.
a. It is given that 12 gallons of water fill a tank to [tex]\frac{3}{4}[/tex] capacity.
Hence, we can write [tex]\frac{3x}{4} = 12[/tex]
⇒ [tex]x = \frac{4 \times 12}{3} = 16[/tex] gallons.
b. If the tank is filled to capacity, then there will be 16 gallons of water, with which [tex]\frac{16}{\frac{1}{2} } = 32[/tex] numbers of half-gallon bottles of be filled with water. (Answer)
In the gym , there is a scale that measures people weight . The needle is 22 cm long , and it roared 124 when Evelyn stepped on it . How far did needle travel as it rotated.
PLS HELP ASAP I WILL GIVE BRAINERLIST
Answer:
4
Step-by-step explanation:
if x = 32 and y = 2, then you just have to substitute the numbers in:
[tex]\frac{32}{4 * 2}[/tex]
so,
[tex]\frac{32}{8}[/tex]
then you simplify
[tex]\frac{4}{1}[/tex]
so the answer is 4
Answer:
2
Step-by-step explanation:
Replace the variables with the real numbers
32/4 2
Multiply
4 x 3 = 12
Divide
32 / 12 = 2⅔
2⅔ ≈ 2
Answer: 2
Edit: Instead, go with D.) 4
Original price of a suit: $250.00
Discount: 25%
Tax: 8%
How much will you pay?
Answer:
207,50
Step-by-step explanation:
1% = 2,5
2,5x25 = 62,5 250 - 62,5 = 187,5
2,5x8 = 20
187,5+20= 207,50
X divided by X+4 =.6666
Answer:
x = 8
Step-by-step explanation:
x/x+4=2/3
3x = 2x + 8
x = 8
What is 0.011 divided by 33
Answer:
0.0003333333 is the answer
Answer: 0.00033333333
Step-by-step explanation: U divide, or if ur having trouble with that, use Google.
Hope this helped u :)
The total income for African American households of a certain country making under $250,000 in 2008 is given in the following table. Use the table to estimate the mean income for
African Americans in 2008.
The mean income for African American households in 2008 was __?
(Round to the nearest dollar as needed.)
Answer:
The mean income for African American households in 2008 was $ 45,613 (Rounded to the nearest dollar)
Step-by-step explanation:
1. Given the information from the table, let's calculate the mean income for African Americans households of a certain country in 2008.
For a successful work, first of all we need to take the data from two columns : Midpoint Salary and Frequency (in thousands):
Mean income = (10,000 * 4,491) + (30,000 * 3.844) + (50,000 * 2,500) + (70,000 * 1,498) + (90,000 * 875) + (125,000 * 994) + (175,000 * 323) + (225,000 * 72)/ Sum of all the frequency (in thousands)
Mean income = (10,000 * 4,491) + (30,000 * 3.844) + (50,000 * 2,500) + (70,000 * 1,498) + (90,000 * 875) + (125,000 * 994) + (175,000 * 323) + (225,000 * 72)/ Sum of all the frequency (in thousands)
Mean income = 665'815,000/ 14,597
Mean income = $ 45,613 (Rounded to the nearest dollar)
To calculate the mean income of African American households in 2008, add up all the income amounts and divide by the number of households. Without specific data, an exact mean cannot be given.
Explanation:In order to estimate the mean income for African American households in 2008, we need to use the given data set. However, without knowing the information in the data set, a concrete answer cannot be provided.
Generally, you would add up all the income amounts for all households included in the study, and then divide by the number of households. This would provide the average, or mean, income.
Here is an example using hypothetical data:
Add together the income of each household: 22050 + 18000 + 25000 = 65050. Count the number of households: in this case, 3. Divide the total income by the number of households to get the mean: 65050 / 3 = 21683.33, rounding to the nearest dollar gives $21683 as the mean income. Learn more about mean income here:
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when the polynomial f(x) is divided by (x-2) the remainder is 4, and when it is divided by (x-3) the remainder is 7. Given that f(x) may be written in the form f(x)= (x-2)(x-3)Q(x)+ax+b, find the remainder when f(x) is divided by (x-2)(x-3). If also f(x) is a cubic function in which the coefficient of x^3 is unity and f(1)=1, determine Q(x)
The remainder when a cubic polynomial is divided by (x-2)(x-3) can be found using the given remainders with (x-2) and (x-3) separately, resulting in a = 3 and b = -2. Hence, the remainder is 3x - 2. Then, using the condition that f(1)=1 and f(x) is cubic with a leading coefficient of 1, we can determine the entire function and Q(x).
Explanation:Given that a polynomial f(x) has remainders when divided by (x-2) and (x-3), we can establish that:
f(x) = (x-2)(x-3)Q(x) + ax + b, where a and b are constants that represent the remainder when f(x) is divided by (x-2)(x-3).The condition f(x) divided by (x-2) has remainder 4:f(2) = 4, which gives us (2-2)(2-3)Q(2) + 2a + b = 4.The condition f(x) divided by (x-3) has remainder 7: f(3) = 7, which gives us (3-2)(3-3)Q(3) + 3a + b = 7.From these conditions, we derive two equations:
2a + b = 43a + b = 7Solving these simultaneously gives us a = 3 and b = -2. Thus, the remainder when f(x) is divided by (x-2)(x-3) is 3x - 2.
Considering f(x) is cubic and the coefficient of x^3 is 1, f(x) = x^3 + px^2 + qx + r, and since f(1)=1, we can find out Q(x) by plugging the values a, b, and f(1) into the polynomial f(x) and comparing it with the standard cubic form. This will lead us to determine the function Q(x).
Priya bought two plants for a science experiment. When she brought them home, the first plant was 5cm tall and the second plant was 4cm. Since then, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week.
a. Which plant is taller at the end of 2 weeks? Explain your reasoning.
b. Which plant is taller at the end of 10 weeks? Explain your reasoning.
c. Priya represents this situation with the equation 5 + 0.5w = 4 + 0.75w, where w represents the end of week w. What does the solution to this equation, w = 4 represent in this situation?
d. what does the solution to the inequality 5 + 0.5w > 4 + 0.75w represent in this situation?
Answer:
a. After 2 weeks the first plant will be taller.
b. After 10 weeks the second plant will be taller.
c. After 4 weeks both the plant will be of the same height.
d. This is the condition for the height of the first plant is greater than that of the second plant.
Step-by-step explanation:
The first plant was 5 cm tall and the second plant was 4 cm.
Again, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week.
So, the height of the first plant after W weeks will be (5 + 0.5W) cm. and the height of the second plant after W weeks will be (4 + 0.75W) cm.
a. After 2 weeks the first plant will be (5 + 2× 0.5) = 6 cm.
And after 2 weeks the second plant will be (4 + 2 × 0.75) = 5.5 cm
So, after 2 weeks the first plant will be taller.
b. After 10 weeks the first plant will be (5 + 10× 0.5) = 10 cm.
And after 10 weeks the second plant will be (4 + 10 × 0.75) = 11.5 cm
So, after 10 weeks the second plant will be taller.
c. If 5 + 0.5w = 4 + 0.75w, give w = 4 weeks, then this means that after 4 weeks both the plant will be of the same height.
d. If, 5 + 0.5w > 4 + 0.75w, then it means that this condition is for the height of the first plant will be more than the second plant. (Answer)
a. After 2 weeks: First plant: 6 cm (taller), Second plant: 5.5 cm b. After 10 weeks: First plant: 10 cm. Second plant: 11.5 cm (taller) c. Solution to 5+0.5w=4+0.75w is w=4, where both plants are equal in height (5 cm). d. Inequality 5+0.5w>4+0.75w indicates the first plant is taller before w=4 weeks.
a. To determine which plant is taller at the end of 2 weeks, let's calculate their heights:
- First plant after 2 weeks: [tex]\( 5 + 0.5 \cdot 2 = 5 + 1 = 6 \)[/tex] cm
- Second plant after 2 weeks: [tex]\( 4 + 0.75 \cdot 2 = 4 + 1.5 = 5.5 \)[/tex] cm
Since 6 cm (first plant) > 5.5 cm (second plant), the first plant is taller at the end of 2 weeks.
b. Now, let's calculate their heights after 10 weeks:
- First plant after 10 weeks: [tex]\( 5 + 0.5 \cdot 10 = 5 + 5 = 10 \) cm[/tex]
- Second plant after 10 weeks: [tex]\( 4 + 0.75 \cdot 10 = 4 + 7.5 = 11.5 \) cm[/tex]
Since 11.5 cm (second plant) > 10 cm (first plant), the second plant is taller at the end of 10 weeks.
c. The equation given is [tex]\( 5 + 0.5w = 4 + 0.75w \)[/tex]. This equation represents the point in time (number of weeks, w) when both plants will have the same height. Solving for w:
[tex]\[ 5 + 0.5w = 4 + 0.75w \][/tex]
Subtract 0.5w from both sides:
[tex]\[ 5 = 4 + 0.25w \][/tex]
Subtract 4 from both sides:
[tex]\[ 1 = 0.25w \][/tex]
Divide both sides by 0.25:
[tex]\[ w = \frac{1}{0.25} = 4 \][/tex]
Therefore, w = 4 represents the number of weeks after which both plants will have the same height, which is 5 cm.
d. The inequality [tex]\( 5 + 0.5w > 4 + 0.75w \)[/tex] represents the point in time (number of weeks, w) when the first plant's height (5 cm + 0.5w) exceeds the second plant's height (4 cm + 0.75w). Solving for w:
[tex]\[ 5 + 0.5w > 4 + 0.75w \][/tex]
Subtract 4 from both sides:
[tex]\[ 1 + 0.5w > 0.75w \][/tex]
Subtract 0.5w from both sides:
[tex]\[ 1 > 0.25w \][/tex]
Divide both sides by 0.25:
[tex]\[ w < \frac{1}{0.25} = 4 \][/tex]
Therefore, the solution to [tex]\( 5 + 0.5w > 4 + 0.75w \)[/tex] represents the number of weeks w when the first plant is taller than the second plant. This happens for ( w < 4 ) weeks.
Bobby believes his video game scores are clustered
closer to his median than Amelia's are to her median.
Explain why you agree or do not agree with Bobby.
Lower Quartile
Upper Quartile
Median
Bobby
472
585
535
Amelia
454
633
535
Answer: Bobby’s interquartile range is 113, while Amelia’s is 179. A lower interquartile range means Bobby’s scores are closer to the median.
Step-by-step explanation:
Answer:
his rang is 113 and amelis is 179
Step-by-step explanation: