Answer:
Step-by-step explanation:
1. a) spread is the range which is given as Max(S)- Min(S)
Colin =
[tex]3,9,9,14,15,16,17,20,21\\\\range=21-3=18\\\\[/tex]
Jezebel=
[tex]=4,5,8,10,11,14,20,20,26\\\\range=26-4=22[/tex]
Jezebel had a greatest spread.It was 22 while for Colin was 18
2. a) The middle 50% of the game sold is the difference between the third quartile and first quartile of the data
Colin=
[tex]=3,9,9,14,15,16,17,20,21\\\\median=15\\\\lower half=3,9,9,14\\\\\\Q1=(9+9) /2 =9\\\\\\Upper half= 16,17,20,12\\\\\\Q3=(17+20)/2 = 18.5\\[/tex]
⇒The middle 50% = Q3-Q1 = 18.5- 9 = 9.5
Jezebel
[tex]=4,5,8,10,11,14,20,20,26\\\\\\=lower half= 4,5,8,10\\\\\\upper half=14,20,20,26\\\\\\Q1=(5+8)/2 = 6.5\\\\Q3= (20+20)/2 = 20[/tex]
⇒The middle 50% = Q3-Q1 = 20-6.5 = 13.5
Colin had the least spread of 9.5 as compared to Jezebel who had 13.5
c)The answers in part 2a and 2 b tels us that the middle section that contained 50% of the scores was more in Jezebel record than in Colin records.
Which expression gives the volume of a sphere with radius 5?
Answer:
it is d
Step-by-step explanation:
formula of sphere=4/3* pi*r cubed
Answer:
D
Step-by-step explanation:
A is nothing.
B is the surface area
C is nothing
D is the volume of a sphere.
On a sunny morning, Ishaan rode his bicycle to a farm that sold baskets of apples for $ 9 . 1 2 $9.12dollar sign, 9, point, 12 each and baskets of eggplants for $ 9 . 5 4 $9.54dollar sign, 9, point, 54 each. Ishaan decided to buy a basket of apples and a basket of eggplants . How much did Ishaan need to pay for his produce? $
Answer:18.66
Step-by-step explanation:
PLEASE HELP ASAP 50 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Answer:
C
Step-by-step explanation:
Using the coefficients of each term and evaluating for h = - 4
- 4 | 1 - 7 - 7 20
↓ - 4 44 - 148
---------------------------
1 - 11 37 - 128 ← remainder
Quotient = x² - 11x + 37 , R - 128
[tex]log_{13} 244=\frac{ln244}{ln13}[/tex] ≈ [tex]2.143[/tex]
A. 2.143
B. 0.453
C. 3.949
D. 2.209
Answer:
A.
Step-by-step explanation:
The question is on laws of logarithms
For example to find the log₁₀ 100
⇒log₁₀ 100 = 2................how?
we take In 100 / 1n l0 = 2
where 10²=100
⇒Thus logₓ y = In y / In x
Which of the following functions has the largest value when x = 3?
c(x) = 3x2 + 5x + 22
j(x) = 12x
a(x) = 9x
All the functions are equal at x = 3.
c(x)
j(x)
a(x)
Answer:
c(3) is the largest
Step-by-step explanation:
For positive values of x, j(x) > a(x), so the comparison is between c(x) and j(x).
Without evaluating the functions, you can subtract 5x from them to get ...
c'(x) = c(x) -5x = 3x² +22
j'(x) = j(x) -5x = 7x
Now the question is whether c'(3) is larger than j'(3). The latter is ...
j'(3) = 7·3 = 21
Since c'(3) has an added constant of 22 and x² will be positive, we know that ...
c(3) > j(3) > a(3)
The function with the largest value at x=3 is c(x).
_____
You can, of course, simply evaluate the functions:
c(3) = (3·3 +5)·3 +22 = 14·3 +22 = 42 +22 = 64j(3) = 12·3 = 36a(3) = 9·3 = 27c(3) > j(3) > a(3) . . . . . . . c(3) is the largest
Answer:
It’s D
Step-by-step explanation:
a(x)
Enter the equation of the circle described below.
Center (-3, 0), radius 5
Answer:
[tex](x+3)^2 + y^2 =25[/tex]
Step-by-step explanation:
The general equation of a circle has the form:
[tex](x-h)^2 + (y-k)^2 =r^2[/tex]
Where the point (h, k) is the center of the circle and r is the radius
In this case the center is (-3, 0) and the radius is [tex]r=5[/tex]
So [tex]h=-3\\k=0[/tex]
Finally the equation of the circle is:
[tex](x-(-3))^2 + (y-0)^2 =5^2[/tex]
[tex](x+3)^2 + y^2 =25[/tex]
(X+3)^2 +y^2 =25
This is the correct answer
Check on Desmos
3 less than 3 times a number is 12, what is it?
The number is 3.
3x3 is 9, which is 3 less than 12.
Answer:
The number is 5.
Step-by-step explanation:
12 plus 3 is 15.
5 x 3 = 15
15 - 3 = 12
3 less than 3 times a number is 12.
It sounds like 3 less from a number IS 12. So adding 3 to 12 will get 15, and 15 divided by 3 equals 5.
I hope this is correct and that it helps! :)
Find the area of right triangle RST
Check the picture below.
Answer:
B. 7.5 square units.
Step-by-step explanation:
We have been given an image of a right triangle. We are asked to find area of our given triangle.
We can see that base of our given triangle is 5 units as difference between point S and point T is 5 units.
[tex]2--3=2+3=5[/tex]
The height of our given triangle (RT) is 3 units.
[tex]1--2=1+2=3[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{Base}\times \text{Height}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{5 units}\times \text{3 units}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times 15\text{ units}^2[/tex]
[tex]\text{Area of triangle}=7.5\text{ units}^2[/tex]
Therefore, area of our given triangle is 7.5 square units and option B is the correct choice.
WILL GIVE BRANLIEST! :(
I am so bad at proofs!
It is all on the picture <3
Step-by-step explanation:
The triangles are congruent isosceles, therefore LM ≅ MN ≅ NO ≅ OL.
All four sides are equal, so be definition, quadrilateral LMNO is a rhombus.
Answer:
LMNO is a rhombus
Step-by-step explanation:
btw i love ur pfp! BLM
Can somebody help me?
Answer:
6
Step-by-step explanation:
Arc length = radius * central angle
s = rθ
A circle is 2π radians, so 1/3 of that is 2/3 π.
Given that s = 12 and θ = 2/3 π:
12 = r (2/3 π)
r = 18/π
r ≈ 6
Natasha is driving at a rate of 4 miles every 3 minutes how fast is Natasha driving
Answer:
80 mph
Step-by-step explanation:
Since Natasha is driving at a rate of 4 miles every 3 minutes, we are asked to find her speed in mph. Since there are 60 minutes in an hour, we can make a proportion: 4/3 = x/60. Solving for x, we get x to be 80. So Natasha is driving at 80 miles an hour.
Answer:
80 miles per hour
Step-by-step explanation:
60 / 3 = 20
4 x 20 = 80
Best Deal 1
Quantity of Flour Price
3 pounds $5.25
5 pounds $9.75
7 pounds $12.60
10 pounds $14.20
12 pounds $18.24
A baker purchases flour each week from a wholesale warehouse. The chart shows the quantities and prices available this week. If the caterer decides to buy the BEST deal, how much will he save per pound of flour over the most expensive deal?
A) $0.28
B) $0.37
C) $0.47
D) $0.53
d. $0.53 because..
3/5.25 = 1/1.75
5/9.75 = 1.95
7/12.60 = 1.80
10/14.20 = 1.42
12/18.24 = 1.52
then do ;
most expensive deal - least expensive deal = how much he’ll save
1.95 - 1.42 = .53
Answer: The answer would be D.
like she said down there !
!
Step-by-step explanation:
What is the magnitude of the vector (7, -4) to the nearest tenth?
2.4
5.7
8.1
9.0
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorem: hyp² = 7² + (-4)² = 49 + 16 = 65.
The magnitude of this vector <7, -4> is 8.1, to the nearest tenth.
The population of a city has increased by 36% since it was last measured. If the current population is 51000 , what was the previous population?
So if we have the number after the 36% increase in population, we would want to subtract that 36% from 51000.
36% of 51000 can be found by multiplying 51000 by 0.36 (0.36 is the decimal equivalent of 36%)
51000 x .36 = 18360
So you simply subtract 18360 from 51000, which is 32,640.
A baker made 5 pounds of dough . He used 4/9 of the dough to make sandwich rolls . How much of the dough is left over
There’s twenty over nine pounds
Answer:
2.22..
Step-by-step explanation:
First you divide four by nine to get 0.44..
then you multiply that by five to get your answer which is 2.22.. , Two Point Two repeating, 20/9, 2 2/9 or Two and Two Ninths.
Write the equation of the line, in slope-intercept form, that contains the points (-1, -2) and (1, 2). Use the box provided or the upload option to submit all of your calculations and final answer.
PLEASE HELP!
Find the function inverse ,f-1(x) , of y = 2x + 1.
Answer:
[tex]f^{-1}(x)=\frac{x}{2}-\frac{1}{2}[/tex]
Step-by-step explanation:
It is called an inverse or reciprocal function of [tex]f[/tex] to another function [tex]f^{-1}[/tex] that fulfills that:
If [tex]f(a)=b[/tex], then [tex]f^{-1} (b)=a[/tex]
To calculate the inverse of the function [tex]y=2x+1[/tex]
[tex]f(x)=y[/tex]
So, rewritting the function
[tex]f(x)=2x+1[/tex]
Changing the x for y
[tex]x=2y+1[/tex]
Let's clear y
[tex]y=\frac{x-1}{2}[/tex]
Ordering the function above
[tex]y=\frac{x}{2}-\frac{1}{2}[/tex]
So, the inverse of the function [tex]f(x)=2x+1[/tex] is:
[tex]f^{-1}(x)=\frac{x}{2}-\frac{1}{2}[/tex]
.
Measure the sides and angles of the two triangles. Are the two triangles similar? Yes, corresponding angles are congruent. Yes, all sides have been increased by 1 unit. Yes, corresponding sides are proportional. No, corresponding angles are not congruent and corresponding sides are not proportional.
Answer:
D) No, corresponding angles are not congruent and corresponding sides are not proportional.
;]
Step-by-step explanation:
Answer:
the answer is D i just answered it with D and its correct
good luck on your assignment :)
Step-by-step explanation:
Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour. b If Kelly finished the race in 1 1/2 hours, how long did it take Ava to finish the race?
Answer:
2
Step-by-step explanation:
Kelly ran at an average speed of 8 miles per hour. If she finished the race in one and a half hours that means she ran 12 miles.
8=x
?=3/2x
12=x
We now know the road is 12 miles long. Ava has an average speed of 6 miles so she will finish it in 12/6 hours.
12/6=2
It takes Ava to finish the race in 2 hours.
Kelly ran at an average speed of 8 miles per hour.
If she finished the race in one and a half hours that means she ran 12 miles.
What is the formula for the average speed?
The average speed is the distance traveled divided by the time taken.
8=x
12=x
We now know the road is 12 miles long.
Ava has an average speed of 6 miles so she will finish it in 12/6 hours.
12/6=2hours
Therefore, It takes Ava to finish the race in 2 hours.
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Which statement is true about the ray passing
through points B and C?
The ray extends infinitely in one
direction
The ray extends infinitely in both
directions
The ray has a finte length that can
be measured
There are only two points on the
entire ray
Cosidering the ray BC.
It is clear that:
1) A ray starts from one point and extends infinitely in ONE direction.
2) The ray BC cannot be measured. But the line-segment BC can be Measured.
3) B and C are the only two points on the given ray.
Hence the statement: "There are only two points on the entire ray" is the correct one.
Hope it helps...
Regards;
Leukonov/Olegion.
The ray given in the figure is passing in one direction and does not have a finite length as far as the ray segment is considered so options (A), and (D) are true.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given,
A ray is passing through points B and C.
(A) The ray extends infinitely in one direction which is True.
(D) There are only two points on the entire ray which is also true.
Hence, The ray given in the figure is passing in one direction and does not have a finite length as far as the ray segment is considered.
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Which strategy would not correctly solve this story problem? Luke buys a muffin and glass of juice each Monday for breakfast. Each muffin costs $3 and each glass of juice costs $2. How much money will Luke spend for breakfast on 6 Mondays? A. Make a table. Week 1 2 3 4 5 6 Total ($) 5 10 15 20 25 B. Translate into an equation. (3 × 2) + 6 = d C. Use objects to represent the problem. Set out 6 small cups. Use coins to represent dollars. Add $2 + $3 to get the amount spent each Monday ($5). Put that number of coins into each cup. Count the number of coins in the cups. D. Use logical reasoning. In 1 week Luke spent $3 for a muffin plus $2 for juice for a total of $5. So to figure out how much Luke spent in 6 weeks, multiply $5 by 6.
Answer:
The answer is D.
Step-by-step explanation:
Each Monday, Luke spends $5 ($3 for the muffin, $2 for the juice). To figure out how much he spends in 6 weeks, you multiply $5 by 6. Hope this helps! :)
Quadrilateral KLMN has vertices of K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4) Find the length of MN
Answer:
The length of MN is [tex]\sqrt{5}[/tex] units.
Step-by-step explanation:
The given Quadrilateral KLMN has vertices at K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4).
We use the distance formula to find the length of MN.
[tex]|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We plug in the values to get
[tex]|MN|=\sqrt{(-4--2)^2+(-4--5)^2}[/tex]
[tex]|MN|=\sqrt{(-2)^2+(1)^2}[/tex]
[tex]|MN|=\sqrt{4+1}[/tex]
[tex]|MN|=\sqrt{5}[/tex]
The length of MN is [tex]\sqrt{5}[/tex] units.
Answer:
B
Step-by-step explanation:
TAKE ALL MY POINTS PLEASE HELP ME
The high temperatures for Dallas, Texas in June 1985 and June 2013 are shown. Use the data to create a comparative dot plot and comparative box plot and use them to compare the weather then and now. Remember to use at least two module vocabulary words in your responses.
1. Create a comparative dot plot for the data sets.
2. Assess the degree of overlap between the data sets and compare the shapes, centers, and spreads of the two groups using the comparative dot plot.
3. Create a comparative box plot for the data sets.
4. Assess the degree of overlap between the data sets and compare the shapes, centers, and spreads of the two groups using the comparative box plot.
1. First two pictures below.
2.Both of them have large clusters that are a couple spaces away. The range is greater with June 2013.
3. Second two pictures below. The third pic is June 1985 and fourth is June 2013.
4. The spread is smaller for June 1985. The boxes are seem to have the same proximity to each other which shows a tight center between the two box plots.
May be to late, but I'll post my answers to your questions anyway :)
Final answer:
Without specific temperature data, we cannot create the comparative dot plots and box plots requested by the student. Instructions have been provided on how to create and analyze them once the data is available.
Explanation:
To answer the student's question about comparing the high temperatures for Dallas, Texas in June 1985 and June 2013 using comparative dot plots and comparative box plots, we first need the individual temperature data for each June to create these graphs. Unfortunately, without the specific data, we are unable to create the plots.
However, we can discuss how to approach this problem. To create a comparative dot plot, you would list the temperatures for each data set on a horizontal line, each set represented by dots. Then, assess the degree of overlap by visually inspecting where the dots from both data sets lie in relation to each other. Compare their shapes, centers, and spreads by observing the clustering of the dots, the location of the “middle” of the dots, and how far the dots extend out from the center.
For the comparative box plot, you would draw two box plots on the same axis. A box plot displays the minimum, first quartile, median (or second quartile), third quartile, and maximum. Assess the degree of overlap by comparing where the boxes and whiskers of the plots are positioned in relation to each other, again paying attention to the centers (medians), spreads (interquartile ranges), as well as the overall range of data. Both types of plots can help ascertain whether the high temperature in June of each year was significantly different from the other, and how each year's temperatures compare to the historical average.
A taxpayer had a taxable income of $14,200, and his spouse had a taxable income of $13,700. If they wish to file their tax return jointly, which tax bracket will they fall into?
A. 0%
B. 10%
C. 38%
D. 15%
Answer:
15% apex confirmed
Step-by-step explanation:
The taxpayer and his spouse, with a combined taxable income of $27,900, will fall into the 15% tax bracket for a married couple filing jointly for the 2020 tax year.
Explanation:The subject of this question is the United States Federal Income Tax Brackets. The taxpayer and his spouse have a combined taxable income of $14,200 + $13,700 = $27,900. For the 2020 tax year, a married couple filing jointly with taxable income between $0 and $19,750 fall in the 10% tax bracket, while those with taxable income between $19,751 to $80,250 are in the 15% tax bracket. So, the taxpayer and his spouse, with their combined taxable income, will fall into the 15% tax bracket. Their taxable income exceeds the threshold for the 10% tax bracket and does not reach the threshold for the 38% bracket. Please note, it's important to stay informed about tax brackets as they can change annually.
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HELP ASAP!!!!! PLEASE
Find the area of the square, which has a side length of 2.
Area of square = 2 x 2 = 4
Now multiply the area by the length b
Volume = 4 x 5 = 20 square units total.
Eight white balls and twenty black balls are in a bag. What is the probability of the drawing a black ball in one draw?
Answer:
20/28 which is about 71%
Step-by-step explanation:
so first you add up how many balls there are. 8+20=28. So 28 is the denominator for the fraction. there are 20 black balls, so that is the numerator. so 20/28 is the fraction. then you divide 20 by 28 to get the rounded percent.
Mags is 2 years older than Vector.Which equation will help you find Mags' age (m) if you know Vector's age (v)?
Answer:
Step-by-step explanation:
m = megs age
v = vectors age
meg is 2 years older than vector + 2
therefore
m = v +2
Which statement describes a strong U.S. dollar?
Answer:
I can tell you that B is NOT correct as I got it wrong. I bet the right answer is C as it is holding steady at 1:95.
Step-by-step explanation:
These are the choices for Plato
A. The exchange rate between the U.S. dollar and the yen changes from 1:95 to 1:102.
B. The exchange rate between the U.S. dollar and the euro changes from 1:95 to 1:92. - Wrong answer
C. The exchange rate between the U.S. dollar and the euro remains 1:95
Consider the hyperbola represented by the equation: (picture)
The center of the hyperbola is _______
The left vertex, if the hyperbola opens horizontally, or the bottom vertex, if it opens vertically, is ______
The other vertex is ______
Answer:
- The center of hyperbola is (-2 , 3)
- The left vertex, if the hyperbola opens horizontally, or the
bottom vertex, if it opens vertically, is (-6 , 3)
- The other vertex is (2 , 3)
Step-by-step explanation:
* Lets study the equation of the hyperbola
- The standard form of the equation of a hyperbola with
center (h , k) and transverse axis parallel to the x-axis is
(x - h)²/a² - (y - k)²/b² = 1, Where
- The length of the transverse axis is 2a
- The coordinates of the vertices are (h ± a , k)
- The length of the conjugate axis is 2b
- The coordinates of the co-vertices are (h , k ± b)
- The coordinates of the foci are (h ± c , k), where c² = a² + b²
* Now lets solve the problem
∵ (x + 2)²/4² - (y - 3)²/5² = 1
∵ (x - h)²/a² - (y - k)²/b² = 1
∴ a = 4 , b = 5
∴ h = -2 , k = 3
∵ The center of the hyperbola is (h , k)
∴ The center of hyperbola is (-2 , 3)
∵ The coordinates of the vertices are (h + a , k) , (h - a , k)
∴ The coordinates of the vertices are (-2 + 4 , 3) , (-2 - 4 , 3)
∴ The coordinates of the vertices are (2 , 3) , (-6 , 3)
∴ The left vertex, if the hyperbola opens horizontally, or the
bottom vertex, if it opens vertically, is (-6 , 3)
∴ The other vertex is (2 , 3)
The center of a hyperbola is determined by the coordinates (h, k) in its equation. The vertices are the points where the hyperbola intersects its major axis, and their positions depend on whether the hyperbola opens horizontally or vertically. If it opens horizontally, the left vertex is at (h - A, k), and if it opens vertically, the bottom vertex is at (h, k - B).
Explanation:In the equation of a hyperbola, the center of the hyperbola can be found by identifying the coordinates (h, k). These are the constants in the denominators of the fractions on the left-hand side of the equation. For instance, in the equation ((x-h)²/A²) - ((y-k)²/B²) = 1, the center would be at the point (h, k).
The vertices of the hyperbola are the points where the hyperbola intersects its major axis. If the hyperbola opens horizontally, the left vertex will be located at the coordinate (h - A, k), and the other vertex will be at (h + A, k). If the hyperbola opens vertically, the bottom vertex will be at the coordinate (h, k - B), with the other vertex at (h, k + B).
Remember, A represents the distance from the center to a vertex along the major axis, and B represents the distance from the center to a vertex along the minor axis.
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Devaughn is 11 years younger than Sydney. The sum of their ages is 83. What is Sydney's age?
To solve for Sydney's age, we used an equation based on the relationship that Devaughn is 11 years younger than Sydney and the sum of their ages is 83. Solving the equation 2S - 11 = 83, we found that Sydney is 47 years old.
To find Sydney's age, we need to set up and solve an equation based on the information given: Devaughn is 11 years younger than Sydney, and the sum of their ages is 83.
Let's let Sydney's age be represented by S and Devaughn's age be represented by D. Given that Devaughn is 11 years younger than Sydney, we can express Devaughn's age as D = S - 11.
The sum of their ages is given as 83, so we can write the following equation: S + D = 83.
Substituting Devaughn's age in terms of Sydney's age, we get: S + (S - 11) = 83. This simplifies to 2S - 11 = 83. Solving for S, we add 11 to both sides, resulting in 2S = 94, and then we divide by 2 to find S = 47.
Therefore, Sydney's age is 47 years old.