April buys soil for her flowerpots. she uses 9 kilograms of soil for her violets and 4 kilograms of soil for her tulips. she has 3,000 grams of soil left for some daisies (1 kilogram = 1,000 grams) use the drop down menus to show how much soil she bought
April bought 16 kilograms of soil in total.
To show how much soil April bought
We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.
April bought:
9 kilograms of soil for violets
4 kilograms of soil for tulips
3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)
Therefore, April bought 16 kilograms of soil in total.
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Choose the best answer to the following question. Explain your reasoning with one or more complete sentences. At 11:00 you place a single bacterium in a bottle, and at 11:01 it divides into 2 bacteria, which at 11:02 divide into 4 bacteria, and so on. How many bacteria will be in the bottle at 11:30?
Answer:
we could work this out by geometric sequence
Step-by-step explanation:
G1=2, G2=4, we have a formula,Gn=G1r^n-1
G2=G1 (r)^1, 4=2r, r=2
G30=G1 (2)^29=1,073,741,824 bacterium
A charity is raising money by selling two thousand raffle tickets for $2 each. There is one grand prize worth $500, three secondary prizes worth $200 each, and eight third level prizes worth $20 each. What is the expected value of a $2 ticket? Answer is negative $1.358 but how do you calculate that?
The expected value of a $2 ticket is $0.63
How to determine the expected value of a $2 ticketTo calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:
The Probability of winning the grand prize = 1/2000
Product: (1/2000) x $500 = $0.25
The Probability of winning a secondary prize: 3/2000
Product: (3/2000) x $200 = $0.30
The Probability of winning a third level prize: 8/2000
Product: (8/2000) x $20 = $0.08
The sum of the products:
$0.25 + $0.30 + $0.08 = $0.63
So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.
The charity is expected to make a profit, which is why the answer is negative.
That is -$2 + $0.63 = -$1.37
So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)
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The parent absolute value function is reflected across the x-axis and translated right 2 units. Which function is represented by the graph?
–|x – 2|
–|x + 2|
|–x| – 2
|–x| + 2
The function represented by the graph with the given transformations is |–x| + 2.
The function represented by the given transformations is |–x| + 2.
Let's analyze the transformations step by step:
Reflection across the x-axis:
Reflecting the parent absolute value function across the x-axis changes the sign of the function. The positive slopes become negative, and the negative slopes become positive. This transformation is denoted by a negative sign in front of the function.
Translation right 2 units:
Translating the function right 2 units shifts the entire graph horizontally to the right. This transformation is denoted by subtracting the value being translated from the input of the function.
Combining these transformations, the function |–x| + 2 results. The negative sign reflects the function across the x-axis, and the subtraction of 2 units translates it right. The absolute value is applied to the negated x, ensuring that the function always returns a positive value.
Thus, the function represented by the graph with the given transformations is |–x| + 2.
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Answer: -lx-2l
Step-by-step explanation:
Estimate the quotient by rounding each number to the nearest whole number.
33.7 +9.5
Answer:
34/10=3.4 = 3.4
Step-by-step explanation:
what are two numbers have a product of 20 and a sum of 9
Answer:
Step-by-step explanation:
11*90+5-20=?
I really don't know the answer to it and I'm not going to use a calculator on this
Show your work
Answer:
To solve this problem, we need to follow the order of operations (PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
First, we need to perform the multiplication.
11*90 = 990
Next, we add 5 to 990:
990+5 = 995
Finally, we subtract 20 from 995:
995-20 = 975
Therefore, the solution is 975
In summary, we first multiplied 11 and 90, then added 5 to the result, and finally subtracted 20. This is why the order of operations is important because it determines the order in which we perform the calculations in the equation.
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 20 miles per hour slower than the westbound train. If the two trains are 360 miles apart after 2 hours, what is the rate of the eastbound train?
Answer:
Westbound = x;
Eastbourne = x-20;
So they will have the common rate: 360/2 = 180;
x+x-20 = 180
2x = 200;
x = 100;
So Eastbourne will be 100-20 = 80 miles per an hour;
From the top of a lighthouse 82 m tall, a guard sees two ships at sea.
The angle of depression to the closer ship is 53° and to the further ship is 39°.
How far are the ships apart from each other to the nearest metre?
The distance between the two ship based on the angle of depression is 42 meters.
The distance of each ship can be calculated thus:
TanX = opposite / Adjacent
The first ship:
Tan53 = distance/ 82
distance= 108.82 meters
The second ship:
Tan39 = distance/ 82
distance= 66.40 meters
The Difference between the ships are :
108.82 - 66.40 = 42.42 metersTherefore, the distance between the two ships is 42 meters.
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For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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The function shown in the graph is shifted 4 units up to produce a
new graph.
Which function represents the new graph?
मीर
of(a) = cos (2)+4
n
21
ton
of(2)=34+ sinz
of(a) =4cost
of(E) =4sinz
Answer: D
Step-by-step explanation:
Question
The following data set represents the dollar amounts of donations collected at the entrance to a free museum during one hour.
Donation Amount ($) Frequency
1 1
5 5
10 3
15 1
600 1
Is the median a reasonably good measure of central tendency for this data set? What if the outlier were removed from consideration?
Select the correct answer below:
The median is a good measure regardless of whether the outlier is included.
The median is a very poor measure regardless of whether the outlier is included.
The median is a good measure when the outlier is included, but it would be a very poor measure if the outlier were removed from consideration.
The median is a very poor measure when the outlier is included, but it would be a good measure if the outlier were removed from consideration.
In the given situation (A) the median is a good measure regardless of whether the outlier is included.
What do we mean by media?The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data set. The basic difference between the median and the mean in describing data is that the median is not skewed by a small proportion of extremely large or small values, and thus provides a better representation of a "typical" value.To find the median:
1, 5, 5, 5, 5, 5, 10, 10, 10, 15, 600The number of terms is 11, so the middle number will be the 5th term from both ends.The 5th term is 5.So, regardless of whether the outlier is included, the median is a good measure in the given situation.Therefore, in the given situation (A) the median is a good measure regardless of whether the outlier is included.
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The correct question is given below:
The following dataset represents the dollar amounts of donations collected at the entrance to a free museum for one hour.
(Refer to the table given below)
Is the median a reasonably good measure of central tendency for this dataset? What if the outlier were removed from consideration?
Select the correct answer below:
(A) The median is a good measure regardless of whether the outlier is included.
(B) The median is a very poor measure regardless of whether the outlier is included.
(C) The median is a good measure when the outlier is included, but it would be a very poor measure if the outlier were removed from consideration.
(D) The median is a very poor measure when the outlier is included, but it would be a good measure if the outlier were removed from consideration.
(Diversifying Portfolios MC)
worth points)
Name of Stock Symbol High Low Close
Stock A
105.19 103.25 103.38
Stock B
145.18 143.28 144.05
A
B
Last year, an investor purchase
difference in overall loss or ga
O The difference in overall gain is $207.00.
O The difference in overall loss is $207.00.
O The difference in overall loss is $200.70.
O The difference in overall gain is $200.70.
shares of stock A at $90 per share and 75 shares of stock B at $145 per share. What is the
ween selling at the current day's high price or low price?
The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.
To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.
Stock A:
High price = $105.19
Low price = $103.25
Close price = $103.38
Stock B:
High price = $145.18
Low price = $143.28
Close price = $144.05
The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.
To calculate the selling prices, we need to multiply the number of shares by the respective selling price.
Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50
Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50
Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50
Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00
Now, let's calculate the difference in overall gain or loss:
Difference in overall gain = Selling price at the high price - Selling price at the low price
= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)
= $16,148.00 - $15,908.50
= $239.50
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Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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Please look at the graphs in the photo. Thank you!
(a). The graph of y = -f(x) is shown in the image below.
(b). The graph of y = g(-x) is shown in the image below.
How to draw the graph of the transformed functions?By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;
y = -f(x)
y = -|x + 2| - 4
Part b.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = rise/run
Slope (m) = -2/4
Slope (m) = -1/2
At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -1/2(x - 0)
g(x) = -x/2 + 5, -4 ≤ x ≤ 4.
y = g(-x)
y = x/2 + 5, -4 ≤ x ≤ 4.
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simplify fully root8 x root18
Answer:
12
Step-by-step explanation:
√8 = 2√2
√18 = 3√2
√8 x √18
= 2√2 x 3√2
= 2 x 3 x √2 x √2
= 6 x 2
= 12
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The brain volumes (cm³) of 20 brains have a mean of 1128.4 cm³ and a standard deviation of 125.9 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1360.2 cm³ be significantly high?
Significantly low values are cm³ or lower.
Step-by-step explanation:
The range rule of thumb states that for data with a roughly bell-shaped distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.
Given that the standard deviation is 125.9 cm³, one standard deviation above the mean would be 1128.4 + 125.9 = 1254.3 cm³, and one standard deviation below the mean would be 1128.4 - 125.9 = 1002.5 cm³.
Thus, significantly low values would be 1002.5 cm³ or lower, and significantly high values would be 1254.3 cm³ or higher.
Since 1360.2 cm³ is higher than 1254.3 cm³, it would fall outside the range of one standard deviation above the mean and can be considered significantly high based on the range rule of thumb.
DETAILS
MY NOTES
Use the figure of the rectangle shown below to answer the questions. (Note: w and h are lower case.
D
h
11
(a) If the diagonal, D, of the rectangle is 18 feet, express the perimeter of the rectangle as a function of w only.
P(W) =
(b) If the diagonal, D, of the rectangle is 18 feet, express the angle 8 as a function of w only.
0(W) =
The perimeter of the rectangle as a function of w only is P(w) = 2[√(324 - w²) + w]
The perimeter of the rectangle P = 2(h + w)
Since the diagonal is D = 18 feet, using Pythagoras' theorem, we have that
D² = h² + w²
So, making h subject of the formula, we have
h = √(D² - w²)
h = √(18² - w²)
h = √(324 - w²)
Since the perimeter of the rectangle P = 2(h + w), substituting the value of h into P, we have
P = 2(h + w)
P = 2[√(324 - w²) + w]
P(w) = 2[√(324 - w²) + w]
So, the perimeter of the rectangle as a function of w only is P(w) = 2[√(324 - w²) + w]
The angle θ as a function of w only is θ(w) = sin⁻¹[w/18]
Using trigonometric functions, sinθ = w/D
since D = 18, substituting the value of D into the equation, we have
sinθ = w/18
Taking inverse tan of both sides, we have
θ = sin⁻¹[w/18]
θ(w) = sin⁻¹[w/18]
So, the angle θ as a function of w only is θ(w) = sin⁻¹[w/18]
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13. You are given pentagon JAROD with J(2,0) A(4,2) R(6,0) 0(6,-2) D(2,-2). What rule transforms the pentagon to the points J'(0,-2) A' (2, -4) R'(0, -6) O'(-2,-6) D'(-2,-2)? What type of transformation is it?
The transformation is a reflection about the x-axis
Explanation:The transformation shows that
y = -x
This is a reflection about the x-axis
please Translate the triangle.
Then enter the new coordinates.
A (-2,4)
(-3,2)
< 9.3 >
A'([?], [])
B'([ ].[])
C'([] [])
Answer:
A' (7,7)
B' (10,4)
C' (6,5)
Step-by-step explanation:
Add 9 to every x value and 3 to every y value.
Answer:
A'(7,7)
B'(10,4)
C'(6,5)
Step-by-step explanation:
⭐What is a translation?
a translation is a type of transformation you can do to a figure to shift the figure up/down and left/right.⭐What is the translation notation?
\(T_ < x,y > (ABC) = (A'B'C')\)\(T_ < x,y >\) tells you how much to move the figure left/right and up/down. x = left/righty = up/downThe problem tells us to translate ΔABC 9 units to the right, and 3 units up because it is inside the <>, and the numbers are positive.
To translate the vertices of ΔABC, we have to add the respective x and y coordinates of the translation rule to each vertecie of ΔABC.
A(-2,4):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieA'(-2+9, 4+3) = A'(7,7)B(1,1):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieB'(1+9, 1+3) = A'(10,4)C(-3,2):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieC'(-3+9, 2+3) = A'(6,5)⭐if this response helped you, please mark it the "brainliest"!⭐
the age of some kids that partecipate to a race are
13 13 17 16 15 15 18 14 18 17 16 17 15 15 15 14 15 14 16 15
a) put from least to biggest, create a table and calcolate the absolute frequency, relative and percentual.
b) Reppresent graphically with a histogram the absolute frequency.
c) calcolate mode mean median
Calcolate the probability of having
d) 13 years old
e) 14 or 16 years old
f) doesn't have 15 years
I WILL GIVE BRAINLY IF YOU GIVE ME THE RIGHT ANSWERS
c) Mode: 15 (appears 6 times)
Mean: 15.25
Median: 15
d) Probability of being 13 years old: 2/20 = 0.1 or 10%
e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%
f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%
a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:
13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18
Age Absolute Frequency Relative Frequency Percentual Frequency
13 2 2/16 12.5%
14 2 2/16 12.5%
15 5 5/16 31.25%
16 2 2/16 12.5%
17 3 3/16 18.75%
18 2 2/16 12.5%
b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:
c) To calculate the mode, mean, and median:
Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.
Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:
(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3
Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.
d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):
Probability of 13 years old = 2/20 = 0.1 or 10%
e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):
Probability of 14 or 16 years old = 4/20 = 0.2 or 20%
f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):
Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%
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1- 8
2- 12
3- 5
4- 13
Answer:
4- 13
Step-by-step explanation:
AC = √ AB^2 + BC^2
AC = √ 5^2 + 12^2
AC = √ 25 + 144
AC = √ 169
AC = 13
How much sales tax will be charged at Store B?
Answer:
7 % $94.50(SALES TAX) Question only asks for the SALES TAX THOUGH
Step-by-step explanation:
$1350.00 x .07 =$94.50
$94.50 is your sales tax on B
$1444.50 (total) x 15% gratuity is $1444.50 x .15 = $216.68
$1444.50 + $216.68 =$1661.18
$1661.18 x .02 =$33.22
$1661.18 + $33.22 = $1694.40 Total cost of your computer repair
PLEASE PLESE HELP ME WITH THIS!!!!
The new center is 5 units away from the original, hence we added 5 to the x-value.
If you notice the sides of the new triangle are twice the size of the original one, meaning that it was dilated by a scale factor of 2.
the table shows the total cost of bowling any number games and renting bowling shoes. write a two step equation to represent the total cost of c for bowling g games.
Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.
Explain about the slope intercept form:The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form: y=mx+b.
The cost of a game is $4, while the cost of renting shoes is set and unknowable. Since each game costs $4, we already have. Hence, y=4x+b. Yet b is still unknown to us. The constant b in the equation y=mx+b usually refers to the fixed price in linear math equations.We are aware of the a y, overall game cost, and the x, overall game number. These figures are, respectively, $14 and 3.Thus, we include them in the formula: y=4x+b.
14 = 4(3)+b
Find b
14 = 12+b
14 - 12=b
b = 2
Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.
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Complete question:
The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.
a.write an equation to represent the total cost y to rent shoes and bowl x games.
t + 50 = 130 so what is t
Answer:
t + 50 = 130t + 50 _ 50 = 130-50t = 80:. t is 80Step-by-step explanation:
I hope it helps ❤❤Complete the table for the given rule.
Rule: y = 5x
y. X
5. ?
4. ?
2. ?
Answer: 1 = 5
4/5 = 4
2/5 = 2
Answer:
The answer is
1
4/5
2/5
if one cup fills the jug to the second interval, how many cups do you need to fill the jug to 4?
2 cups you need to fill the jug to 4.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
It depends on the size and markings of the jug.
If we assume that the jug is divided into equal intervals and each interval represents an equal volume,
then we can say that filling the jug to the second interval means that the jug is 1/2 full.
To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.
So, the answer is 2 cups.
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Given AC bisects B, complete the flowchart proof below. Note that the last statement and reason have both been filled in for you.
According to the ASA congruency criteria, ABE and CDE are congruent.
What is congruency?Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and form. In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Here,
in ΔABE and ΔCDE,
Since AC bisect BD,
BE=DE
∠ABE=∠CDE
AB=CD
So, by ASA criterion,
ΔABE≅ΔCDE
ΔABE and ΔCDE are congruent by ASA criterion of congruency.
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Please help find the answer. Thank You!
Answer:
Step-by-step explanation:
208