Answer:
- 4/7
Step-by-step explanation:
The resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).
Used the concept of coordinate that states,
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The coordinate is (- 9, 6) and (5, - 2).
Now the value of the resulting coordinate is found as,
(- 9 + 5, 6 - 2)
= (- 4, 4)
Therefore, the resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).
To learn more about the coordinate visit:
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The Intelligence Test Scale in a school is composed of a number of subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution: a) What number represents the 65th percentile (what number separates the lower 65% of the distribution)? b) What number represents the 90th percentile? c) What is the probability of getting a raw score between 28 and 38? d) What is the probability of getting a raw score between 41 and 44?.
Using the normal distribution, it is found that:
a) The 65th percentile is of 37.31.
b) The 90th percentile is of 42.68.
c) There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
d) There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 35, hence [tex]\mu = 35[/tex]The standard deviation is of 6, hence [tex]\sigma = 6[/tex]Question a:
The 65th percentile is X when Z has a p-value of 0.65, so X when Z = 0.385.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.385 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 0.385(6)[/tex]
[tex]X = 37.31[/tex]
The 65th percentile is of 37.31.
Question b:
The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 1.28(6)[/tex]
[tex]X = 42.68[/tex]
The 90th percentile is of 42.68.
Question c:
The probability is the p-value of Z when X = 38 subtracted by the p-value of Z when X = 28, hence:
X = 38:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{38 - 35}{6}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 35}{6}[/tex]
[tex]Z = -1.17[/tex]
[tex]Z = -1.17[/tex] has a p-value of 0.121.
0.6915 - 0.121 = 0.5705.
There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
Question d:
The probability is the p-value of Z when X = 44 subtracted by the p-value of Z when X = 41, hence:
X = 44:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{44 - 35}{6}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 35}{6}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
0.9332 - 0.8413 = 0.0919
There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
A similar problem is given at https://brainly.com/question/24663213
what is the mean,absolute,deviation aka MAD of the numbers below
82,90,75,60,77
if the answer is a decimal, round it to the nearest tenth.
Answer:
7.44
Explanation:
MAD = 1/n sigma | xi - x of line |
Tres profesores compraron libros: uno de ellos pago $845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial. Otro pago $580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial. El último de ellos pago $605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial. ¿Cuál es el costo de cada libro según su tema?
Usando un sistema de ecuaciones, se encuentra que
$96.875 es el costo de un libro de Algebra.$23.125 es el costo de un libro de Geometría Analítica.$146.25 es el costo de un libro de Calculo Diferencial.Para el sistema, hay que:
x es el costo de un libro de Algebra.y es el costo de un libro de Geometría Analítica.z es el costo de un libro de Calculo Diferencial.$845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial, o sea:
[tex]3x + 5y + 3z = 845[/tex]
$580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial, o sea:
[tex]4x + 2y + z = 580[/tex]
$605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial, o sea:
[tex]x + 3y + 3z = 605[/tex]
Reemplazando la segunda equación en las otras duas:
[tex]z = 580 - 4x - 2y[/tex]
[tex]3x + 5y + 3z = 845[/tex]
[tex]3x + 5y + 3(580 - 4x - 2y) = 845[/tex]
[tex]-9x - y = -895[/tex]
[tex]9x + y = 895[/tex]
[tex]y = 895 - 9x[/tex]
[tex]x + 3y + 3z = 605[/tex]
[tex]x + 3y + 3(580 - 4x - 2y) = 605[/tex]
[tex]-11x - 3y = -1135[/tex]
[tex]11x + 3y = 1135[/tex]
[tex]y = 895 - 9x[/tex], por eso:
[tex]11x + 3(895 - 9x) = 1135[/tex]
[tex]-16x = -1550[/tex]
[tex]x = \frac{1150}{16}[/tex]
[tex]x = 96.875[/tex]
[tex]y = 895 - 9x = 895 - 9(96.875) = 23.125[/tex]
[tex]z = 580 - 4(96.875) - 2(23.125) = 146.25[/tex]
$96.875 es el costo de un libro de Algebra.$23.125 es el costo de un libro de Geometría Analítica.$146.25 es el costo de un libro de Calculo Diferencial.Un problema similar, que también envuelve un sistema de ecuaciones, es dado en https://brainly.com/question/24646137
hi! can someone please help me with these i’m confused on how to answer it
Answer:
Step-by-step explanation:
PLEASE HELP (TEST) The graphs below show measurements from cubes with
different side lengths.
Which pairs of variables have a linear relationship?
Select two options.
24
O side length and perimeter of 1 face
20
O perimeter of 1 face and area of 1 face
O surface area and volume
Perimeter of 1 Face
A.
U area of 1 face and surface area
O side length and volume
4
2.
1
3
4
5
6
X
Side Length
40
AB
36
32
Answer:
do you still need the answer?
Step-by-step explanation:
How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18
The number of rows that would be returned from the cross join of tables A and B is 144 rows.
The cross join of table A and table B is the cartesian product of A and B.
Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.
So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.
Learn more about cross join here:
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In the middle school debate club, 60% of the members are in sixth grade. If there are 18 sixth graders in the debate club, how many total members are there? Which types of lifts require spotters?
Answer:
48
Step-by-step explanation:
take 60% of 80, or 80 x .6
I need help this question is do today pls help me
Answer:
4.7 x [tex]10^{7}[/tex] miles
Step-by-step explanation:
You know Mars is further away from the sun
so the distance between earth and mars will be
1.4x[tex]10^{8}[/tex]-9.3x[tex]10^{7}[/tex]
14x[tex]10^{7}[/tex]-9.3x[tex]10^{7}[/tex]
4.7 x [tex]10^{7}[/tex] miles
Select all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)
Answer:
(–4)(9)
(6)(–6)
(6)(6)(–2)
Step-by-step explanation:
(–4)(–9)(2)
=36(2)
=72, No
(–4)(9)
=-36, Yes
(6)(6)(–2)
=36(-2)
=-72, Yes
(–6)(–6)
=36, No
(6)(–6)
=-36, Yes
a boy is y years old now .how old was he 10 years ago
Answer:
Hi there the answer is y-10
Can you give 50 cent in 8 dollars to 17 people
Please help will give brainlest
Question 67x3-34+49x2
Answer:
265
Step-by-step explanation: Used a Calculator
Answer:
[tex]67x^{3} + 49x^{2} -34[/tex]
hopes this helps
A hot air balloon went from an elevation of 4,940 feet to an elevation of 3,122 feet in 36 minutes. What was its rate of descent?
please help me :,)
x=-2
x=-1
x=0
x=1
x=2
Answer:
x can equal either 0 or 1
Step-by-step explanation:
If we look at the chart, we see that the values of 3^x = 2x+1
when x is 0 and when x is 1
so f(x) = g(x) when x = 0 or 1
Please Help Me Solve This! I Need Help Now!
Correct Answer = Brainliest
Answer:
Switzerland tickets: $13.53
Japan tickets: $ 17.36
Step-by-step explanation:
A size 8 kids shoe measures 9 2/3 inches. if 5 size 8 shoes are lined end to end, then bow many inches will they cover?
Answer:
48 1/3 inches
Step-by-step explanation:
Each size 8 shoe measures 9 2/3 inches. If we line 5 of them together, the length of the entire thing will be 5 times the size of each shoe, 9 2/3 in. To write 5 as a fraction, put it over a denominator of 1. Then rewrite 9 2/3 as an improper fraction. Now you can multiply across and simplify as needed.
Answer:
the person below is correct
Step-by-step explanation:
hope this helps have a good rest of ur night :)❤
Evaluate (25/36)^1/2
A 25/6
B 5/6
C 5/36
D 25/36
5/6 its doneeeeeeèeeeeee
When factored into primes 2020=2^2*5^1*101^1.How many positive non-prime factors does 2020 have?
Answer:
I think it is 8
Step-by-step explanation:
I found 2020's factors and took the positive non-prime factors of it, and there were 8 of them
Find the perimeter. Simplify the answer.
Answer:
4u
Step-by-step explanation:
Perimeter of square = u+u+u+u
= 4u
may someone please help me solve the inequality
-4 (x - 2) + 5 < 9
Answer:
[tex]\huge\boxed{x > 1}[/tex]
Step-by-step explanation:
-4(x - 2) + 5 < 9
Subtract 5.
-4(x - 2) < 4
Divide by -4 (Flip the sign when dividing by a negative number).
x - 2 > -1
Add 2.
x > 1
Hope it helps :) and let me know if you want me to elaborate.
Answer:
x>1
Step-by-step explanation:
I had that same question hope that helped
1.) solve for x: 4x+9=25
2.) solve for x: 5x+12=62
Answer:
1. x=4
2. x=10
Step-by-step explanation:
4x+9=25
Subtract 9 from both sides.
4x+9-9=25-9
>>4x=16
Then, divide 16 by 4.
x=16/4
>>x=4.
5x+12=62
Subtract 12 from both sides.
5x+12-12=62-12
>>5x=50
Divide 50 by 5.
x=50/5
x=10.
Hope this helps! Have a great day!
Write the equation of the line that passes through the given points (9,4) and (2,13)
Answer:
y = -9 / 7x + 109 / 7
Step-by-step explanation:
To find the equation of any line, you must find the slope and y-intercept (when writing in slope-intercept form). In this case, we can find both of these values by using the two coordinate pairs that are given:
Slope - the change in y over the change in x
9 / -7 = -9 / 7slope = -9 / 7y-intercept - when x = 0Right now, since we have the slope, we know the equation will look like this: y = -9 / 7x + b, b is what we are trying to find, the y-intercept. To find b, we can substitute a given coordinate pair that we know will fit this line and then solve:
13 = -9 / 7 x 2 + b13 = -18 / 7 + b91 / 7 + 18 / 7 = b109 / 7 = bAfter finding both the slope and y-intercept, we can now combine them together to form the equation of the line:
y = -9 / 7x + 109 / 7
Hope this helps!!
Ella set out a board of pine lumber that was 0.8 feet long and a board of cedar lumber that was 0.80 feet long. Alberto said the cedar board was longer. Is he correct?
Answer:
No
Step-by-step explanation:
0.8=0.80
Gabby's Christmas budget is $1800. She gives
16
1
6
of her budget to charity. Of her remaining budget she spends
15
1
5
on decorations. How much money does she have left in her budget for Christmas presents?
Answer: 1756
Step-by-step explanation:
16+1+6=23
15+5+1=21
1800-23=1777
1777-21=1756
Please explain I don’t really understand this lol
Answer:
Option 2: y = ⅓ x
Step-by-step explanation:
A compression is the transformation of a parent graph wherein there is a decrease in the distance between the corresponding points of a graph and a line.
A vertical compression of the parent graph is represented by y = a·f(x), where the parent graph is compressed by a factor of a, given that 0 < a < 1.
Out of all the given options, the equation in Option 2: y = ⅓ x, represents the vertical compression of the parent graph by a factor of ⅓, as the value of a is between 0 and 1. This implies that the y-coordinate of each point on the graph of y = ⅓ x is one-third the y-coordinate of the corresponding point on the graph of the parent function.
Therefore, the correct answer is Option 2: y = ⅓ x.
1/4 , 0.5 , 10/25 from least to greatest
Answer: 1/4, 10/25, 0.5
Explanation: It doesn't take rocket science to solve this Brainliest please!
Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph
I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?
Answer:
Step-by-step explanation:
Geometry- Solve the portion. Question#4
Answer:
[tex]d=18[/tex]
Step-by-step explanation:
First let's write our equation[tex]\frac{6}{d-6} =\frac{4}{8}[/tex]ReduceDefinition - reduction refers to the rewriting of an expression into a simpler form
We can reduce [tex]\frac{4}{8}[/tex] to [tex]\frac{1}{2}[/tex]
Our equation is now [tex]\frac{6}{d-6} =\frac{1}{2}[/tex]
Now we can cross multiply
Definition - given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
[tex]d-6=12[/tex]
AddWe are adding because we want our variable to be on one side of the equation
[tex]d=18[/tex]
To check we can show our equation but instead of d we have 18[tex]\frac{6}{18-6} =\frac{1}{2}[/tex]
Subtract and we get
[tex]\frac{6}{12} =\frac{1}{2}[/tex]
Which makes it true
Have a good day!simplify x+x+x+yxyxy
Answer:
3x + y³ * x²Step-by-step explanation:
simplify x+x+x+yxyxy
x + x + x + yxyxy =
3x + y³ * x²
add the following rational number =
3/11 and -5/12
Answer:
-19/132
Step-by-step explanation:
To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]