Answer:
a = -20/9.
Step-by-step explanation:
We can write it as
f(x) = a(x - 7)(x + 1)
When x = -2 and y = -20 (at the point(-2, -20):
-20 = a(-2 -7)(-2 + 1)
-20 = -9*-1 a
9a = -20
a = -20/9.
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good
support for whether her claim is true or false?
O Her claim is true and she should use these data sets to provide support.
0
1 2
3 4
5 6
7 8 9 10 11
+
+
+
+
+
+
+
+
0
1
2
3
4
5
6
7
8
9 10 11
O
Her claim is true and she should use these data sets to provide support.
+
6
0
3
+
7
1
4
2
5
+ + +
9 10 11
8
Complete Question:
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?
A. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
B. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. A line divides the box at 7.
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
D. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 5.5.
Answer:
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
Step-by-step explanation:
The median of a box plot is indicated by the line that divides the rectangular box into 2.
Also, the interquartile range is a measure of variability. And this is indicated or represented on a box plot by the range of the box. That is the difference between one end of the box and the beginning of the other end to our left.
The data set that can be used to show that Madison claim is false is a data set showing 2 box plots with the same median value but different interquartile range.
Therefore, C is the right option. Both data set in the drop box would have a median of 7. The interquartile range of one of the drop box would be = 9-4 = 5, while the other would be = 8-5 = 3.
This shows 2 data set with the same median can have different variability.
Which of the following is an example of the law of syllogism? A. If an animal is a penguin, then it can’t fly. If an animal can’t fly, then it still may have wings. An animal may have wings. Therefore, the animal is a penguin. B. If an animal is a penguin, then it can’t fly. An animal is a penguin. Therefore, the animal can’t fly. C. If an animal is a penguin, then it can’t fly. An animal can’t fly. Therefore, the animal is a penguin. D. If an animal is a penguin, then it can’t fly. If an animal can’t fly, then it still may have wings. An animal is a penguin. Therefore, the animal may have wings. Please select the best answer from the choices provided
I believe the answer would be A.
Tom, Kristen, Kaley, and Bill bought 333 granola bars to share among themselves. They divided each granola bar into 444 equal portions. Kristen ate 111 portion from each granola bar.
Answer:
Kristen had (3/4) of a granola bar in total.
Then the three other people have 2.25 granola bars to share amongst themselves.
Step-by-step explanation:
Complete Question
Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar.
How many granola bars did Kristen eat.
Solution
4 of them bought 3 granola bars.
Then they divide each granola bar into 4 equal portions.
Each of the 3 granola bars gets divided into 4 equal portions, where each granola bar now has (4 × 1/4) portions.
Each portion is (1/4) of a granola bar.
Kristen then takes 1 portion from the 3 granola bars.
This means she had 3 × (1/4) granola bars.
Kristen had (3/4) of a granola bar in total.
Then the other three people had [3 - (3/4)] of a granola bar to share amongst themselves. It means they had (9/4) or 2.25 granola bars to share amongst themselves.
Hope this Helps!!!
Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each. Which inequality represents the number of shirts she can buy? A. x≥7 B. x≤7 C. x≥3 D. x≤3
Answer:
D. x ≤ 3
Step-by-step explanation:
26 + 13x ≤ 65
13x ≤ 65-26
13x ≤ 39
13x ≤ 39 ÷13
x ≤ 3
Is 540171 divisible by 9?
Image is attached below.
If the sum of the digits its divisible by 9,
then the original number is divisible by 9.
Since 18 (the sum of the digits) is divisible by 9,
the number 540,171 is also divisible by 9.
Answer:
Yes, The number is divisible by 9
Step-by-step explanation:
If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.
Hope this helps.
You’re rectangular 12 feet long and 8 feet wide. Your friend’s rectangular vegetable garden 50 feet long and 10 feet wide are the garden similar?
Answer:
No
Step-by-step explanation:
For shapes to be similar, their ratios of length-to-length and width-to-width must be the same. When you divide the larger length by the smaller length and the larger width by the smaller width, do you get the same number? No, so these rectangles are not similar.
Answer:
Not similar
Step-by-step explanation:
Well let’s find the areas first.
My garden)
12*8
=96
Freind’s garden)
50*10
=500
The two gardens are not similar whatsoever.
Thus,
the two gardens are not similar.
Hope this helps :)
A regular four-sided die and a regular eight-sided die are rolled to form a sum. a) Determine the probability distribution for the sum of the two dice. Show Steps b) Create a frequency histogram for the probability distribution. c) Determine the expected sum of the two dice.
Answer:
4+8=12 so,if its 12 so
Step-by-step explanation:
the some will be 12
12-8=4
12-4=8
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
Answer:
x=30
Step-by-step explanation:
2x=y-x
3x=y
2y=180
y=90
x=30.
Instructions: Find the following information using the given image.
Here we are trying to find the altitude
Hypotenuse: 100
Segment Adjacent to the Leg: 36
X=
Answer:
Hypotenuse: 100
Segment Adjacent to the leg: 36
x=60
Step-by-step explanation:
I submitted and it was correct
The altitude of the triangle is approximately 76.81 units.
To find the altitude of the triangle, we can use the given information:
Hypotenuse: 100
Segment adjacent to the leg: 36
Let's denote the altitude as 'h' and the other leg of the right triangle as 'x'.
Using the Pythagorean theorem, we can relate the three sides of the triangle:
[tex]h^2 + x^2 = 100^2[/tex]
We also know that the adjacent segment (36) plus the other leg (x) equals the hypotenuse (100):
36 + x = 100
From the second equation, we can solve for x:
x = 100 - 36
x = 64
Now, substitute the value of x into the Pythagorean theorem equation to solve for h:
[tex]h^2 + 64^2 = 100^2\\\\h^2 + 4096 = 10000\\\\h^2 = 10000 - 4096\\\\h^2 = 5904[/tex]
Taking the square root of both sides to solve for h:
h = √5904
h ≈ 76.81
Therefore, the altitude of the triangle is approximately 76.81.
To know more about altitude, refer here:
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help plz i will make a brainllest quick
plzzz
Answer:
a
Step-by-step explanation:
Answer:
the answer is a.
Step-by-step explanation:
I did this one.
The prime factorization of K is: K = 3·5·7. List all the composite factors of K.
Answer: 105, 15, 35, 21
Step-by-step explanation:
3 x 5 x 7 = 105
3 x 5 = 15
5 x 7 = 35
3 x 7 = 21
The list of all composite factors of K are 15, 21, 35, 105.
What is Prime Number?A number which can be divisible by only 1 and the number itself, that number is said to be a Prime Number.
What is Composite Number?A number which can be divisible by factors other than 1 and itself are called Composite Numbers.
What is Prime Factorization?The process to write a number by the product of its prime numbers is called Prime Factorization.
Here given that the prime factorization of K is given by,
[tex]K=3\times5\times7[/tex]
Hence the number is [tex]K=105[/tex].
Composite factors of a number are given by the product of prime factors of that number in different combinations.
Here prime factors are 3,5,7
The composite factors are given by,
[tex]3\times5=15\\5\times7=35\\3\times7=21\\3\times5\times7=105[/tex]
Thus the composite factors of K are given by 15,21,35,105.
Learn more about Prime Factorization here -
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which name best describes the group of shapes below????
Answer:
parallelograms
Step-by-step explanation:
It's all about diagonals
is (0,0) a solution to this system? y ≥ x^2-4 y<2x-1
Answer:
No.
Step-by-step explanation:
To determine if the ordered pair is a solution, simply plug it into the equation and check. In other words:
[tex]y\geq x^2-4[/tex]
[tex]0\geq (0)^2-4[/tex]
[tex]0\geq -4[/tex]
This is true. 0 is greater than -4.
[tex]y<2x-1[/tex]
[tex]0<2(0)-1[/tex]
[tex]0<-1[/tex]
This is not true. 0 is greater than -1.
Thus, (0,0) is not a solution.
Answer:
(0,0) is not a solution of the given system.
Step-by-step explanation:
0≥-4 true
0>1 false
(0,0) is not a solution of the system.
300=x^2+15x what is x?
Answer:
x = -26.3746, 11.3746
Step-by-step explanation:
Easiest and fastest way to solve for x is to graph x² + 15x - 300 and analyze where the graph crosses the x-axis.
Alternatively, you can use the Quadratic Formula to help solve for x.
please help ! what’s the correct answer ??
Nicole is trying to determine an algebraic expression to represent the amount of dog biscuits she needs to purchase for a dog show. She does not know how many dogs will attend the event but wants to have 2 biscuits per dog plus an additional 35 dog biscuits. If d represents the number of dogs, which expression represents the number of dog biscuits Nicole will need for the event? d + 5 2 d + 35 2 d 2 d minus 35
Answer:
2d + 35
Step-by-step explanation:
2 per dog (d) plus an additional 35 treats = 2d + 35
Answer:
b
Step-by-step explanation:
Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?
Answer:
Step-by-step explanation:
The graph choices have not been posted.
There is also a doubt as to what is really wanted, is it
A. f(x) = 100(0.5)^x - 1
or
B. f(x) = 100(0.5)^(x - 1)
I have included a graph for each. Feel free to make a choice between the two, A is red, and B is blue.
Answer:
it's B
Step-by-step explanation:
i literally just did it on ed
Which choice is the most efficient first step to solve this set of equations?
Answer:
x + 2x = 30 is the correct answer.
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
Step-by-step explanation:
(0,5), (1,0)
(0-5)/(1-0)= -5/1= -5
y - 0 = -5(x - 1)
y = -5x + 5
Consider U = {xlx is a real number}.
A = {xlx € U and x + 2 > 10}
B = {x\x € U and 2x > 10}
Which pair of statements is true?
5 & A; 5 € B
6 € A; 6 & B
8 € A; 8 € B
9 € A; 9&B
maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6. Enter a fraction that shows marias claim is incorrect. Choose an answer: a: 6/35 b: 13/70 c: 9/35 d: 16/70
I want to make this clear, this is NOT MY ANSWER! Someone else has already answered this question on here I'm just pasting their answer here so you can get the full details on how it was solved.
We know that 1/5 > 1/6 > 1/7
If we change the numbers to decimals we can see what decimals we can use that are between the number 1/5 and 1/7 .
1/5=.20
1/7≈.14
We can use any number between these two decimals to create a fraction. Let us use .16
.20>.16>.14
Now we can change that number to a fraction.
.16=16/100 which reduced to 4/25
Let's verify:
1/5 > 4/25 > 1/7 find LCM
35/175 > 28/175 > 25/175
One fraction that is between 1/5 and 1/7 that does not have a denominator of 6 is 4/25.
Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the number of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
6th grade RATIOS
I don’t know how this is supposed to work do I start as
3:9 or 3:4 or 4:9 or 4:3 or 9:4? How do I start?
Answer:
i would say b
Step-by-step explanation: if they all slept 4 hours a night then all 9 would have a total of 36 and a night would be 1 so 36 to 1
PLEASE ANSWER THIS FAST IM BEGGING YOU A student worked the following problem: Solve: 2(10x + 3) − x = 44 Their work is shown below: Step 1: 20x + 6 − x = 44 Step 2: 19x + 6 = 44 Step 3: 19x = 38 Step 4: x = 2 Which of the following statements is correct? There is an error in Step 1. There is an error in Step 2. There is an error in Step 3. No errors were made. The problem was worked correctly.
Answer:
3. No errors were made. The problem was worked correctly.
Step-by-step explanation:
2(10x + 3) − x = 44
Distribute
20x +6 -x =44
Combine like terms
19x +6 = 44
Subtract 6 from each side
19x =38
Divide by 19
19x/19 =38/19
x =2
the population of a town increases by 4 % every year . In the last year the population of the town was 110000.
Find the present population of the town .
Find the population of the town in the next year
Answer:
114,400 and 118,976.
Step-by-step explanation:
Let's represent this using a function. Let's let:
[tex]P(y)[/tex] represent the total population, and [tex]y[/tex] represent the total number of years since last year.
We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:
[tex]P(y)=110000(1.04)^y[/tex]
Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.
Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)
[tex]P(1)=110000(1.04)^1=114400[/tex]
The present population is 114,400 people.
For next year, set y equal to 2 (2 years after last year is next year)>
[tex]P(2)=110000(1.04)^2=118976[/tex]
The population next year will be 118,976 people.
Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. Group of answer choices
Answer:
0.5686
Step-by-step explanation:
The alternative hypothesis would be p ≠ 0.11. Thus, this is a two tailed test.
We are given;
p = 0.11
p^ = 8/88 = 1/11 = 0.0909
n = 88
Formula for the Test Statistic is given by;
z = (p^ - p)/(√(p(1-p)/n))
z = (0.0909 - 0.11)/(√(0.11(1 - 0.11)/88))
z = - 0.572642
z ≈ -0.57
Now, from the z-table to find the P-value at z = -0.57 is; 0.2843
Since this is a two tailed test, we have to multiply the P-value by 2 to get the total P-value.
Thus, P-value = 2 × 0.2843 = 0.5686
Which expression is equivalent to 3n+2(1-4n)?
a) 2-n
b) 2-5n
c) 2+11n
d) 2-11n
Samuel chose A as his answer. Explain why he did that.
Answer:
3n +2 -8n
2 - 5n
Step-by-step explanation:
Answer:
He only multiplied the 2 to the first term in the parentheses instead of both terms
Step-by-step explanation:
3n+2(1-4n)
Distribute
3n + 2 -8n
Combine like terms
2 -5n
Samuel made the mistake of incompletely distributing
He only multiplied the 2 to the first term in the parentheses instead of both terms
3n+2(1-4n)
3n +2 -4n
2-n
A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons?
Answer:
See explanations below
Step-by-step explanation:
In the function
f(x) = x + 30
x represents the volume of coal in cubic yards.
The implicit coefficient of one, i.e. 1x, represents each cubic yard of coal weighs one ton.
The 30 represents the weight in tons of the empty coal car.
Thus when the weight of the coal car is only 26 tons, we replace 30 by 26 to get a new function
f(x) = x + 26.
Expand (x +2) (9 - x)
Answer:
-x²+7x+18
Step-by-step explanation:
(x+2) (9-x).
x(9-x)+2(9-x)
9x-x²+ 18-2x
9x-2x-x²+18
7x-x²+18
-x²+7x+18
Answer:
x^2-7x-18
Step-by-step explanation:
Verified Khan Academy Answer
how many solutions do y=3x-4 y=-2x+7
Answer:
One.
Step-by-step explanation:
It is a linear equation. This means that x is raised to the first power, which there can only be one solution.
Answer:
Hi, the correct answer to your question is Y,X would be (29,11)
ONE SOLUTION
Step-by-step explanation:
First you have to... solve for y
Y equals 2x+7
Next you have to use the variable y and put in into an equation.
2x+7 - 3x = -4 (Also) :) - x = -11
Now you have to solve the equation for the variable x
Which will be 11 (x will be 11)
Finally you have to use x to solve for y
2(11)+7 = 29
Now we have 11 and 29 so the answer to your question will be
= (29,11)
Also this means it has one solution
Btw this is a linear equation...
Hope this helps you! :)