Answer:
Calculator
Step-by-step explanation:
Fraction: 163/900
Decimal: 0.1811111
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
I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.
Answer:
Its D.
Step-by-step explanation:
The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
Step-by-step explanation:
that means we divide 2/3 by 4.
2/3 / 4 = 2/3 / 4/1 = 2/3 × 1/4 = 2/12 = 1/6
so each quarter of the remaining 2/3 pizza is actually 1/6 of the complete pizza.
Classify the polynomial: x5 + x3
Answer:
It is a 5th-degree polynomial
Step-by-step explanation:
Looking at the expression, we can see that x⁵ is the term with the highest degree, so we call the expression a 5th-degree polynomial.
Now expand the the expression
Answer:
5x + 4
Step-by-step explanation:
1/2 (10z + 8)
= 1/2 x 10z + 1/2 x 8
= 5z + 4
Hope this helps!!
If Nicole is tardy to class again, she will get detention. If Nicole gets detention, her mother will take her phone. What’s the conclusion?
Answer:
She needs to get to class on time
Step-by-step explanation:
If shes tardy shes going to get detention which will lead to her phone getting took.
Given minimum and maximum data entries and the number of classes min = 75, max = 280, 10 classes. Write the first five lower class limit.
The lower class limit is simply the least data element that can enter a class.
The first five lower class limits are: 75 , 96, 117, 138 and 159
The given parameters are:
[tex]\mathbf{Min = 75}[/tex]
[tex]\mathbf{Max = 280}[/tex]
[tex]\mathbf{Class = 10}[/tex]
Calculate the range
[tex]\mathbf{Range = Max - Min}[/tex]
[tex]\mathbf{Range = 280 - 75}[/tex]
[tex]\mathbf{Range = 205}[/tex]
Divide by the number of classes, to determine the class width
[tex]\mathbf{n =\frac{205}{10}}[/tex]
[tex]\mathbf{n =20.5}[/tex]
Approximate
[tex]\mathbf{n =21}[/tex]
So, the lower limits are:
[tex]\mathbf{Lower = 75 \times 0, 75 + 21 \times 1, 75 + 21 \times 2, 75 + \times 3, 75 + \times 4}[/tex]
[tex]\mathbf{Lower = 75 , 96, 117, 138 , 159}[/tex]
Hence, the first five lower class limits are: 75 , 96, 117, 138 and 159
Read more about lower class limits at:
https://brainly.com/question/7949481
What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
Answer:
The value of this expression is 48
Step-by-step explanation:
15 + c2 * d - c3
c = 3
d = 7
Substitute the values of c and d
15 + (3)2 * 7 - (3)3
Multiply the parenthesis first
15 + 6 * 7 - 9
Now multiply 6 and 7
15 + 42 - 9
Now add 15 and 42
57 - 9
Now subtract
= 48
Answer:
48
Step-by-step explanation:
When you write out the problem it should look like this
15+c⋅2⋅d-c⋅3
or in other form
15+3⋅2⋅7-3⋅3
You can solve using PEMDAS
Paratheses
Exponents
Multiplication
Division
Addition
Subtraction
Just use those in order and you should find to answer.
-Rocketgamer360
i just wanna make sure yall, when it says find the coordinates does mean
to find x and y?
Answer:
it means to graph the x and the y are horizontal and vertical lines that you use in graphs to graph the number or to reach it ,, hope this helps ..
Step-by-step explanation:
Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)
Answer:
27 miles
Step-by-step explanation:
The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...
180° -50° -70° = 60°
Then the distance c can be found from ...
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732
c = √732 ≈ 27.055
The boats are 27 miles apart after 1 hour.
A movie theater charges $6 for each adult and $3 for each child. If the total amount in
ticket earnings one evening was $1428 and if there were 56 more children than adults, then
how many children attended?
Answer:
196 children
Step-by-step explanation: 6(140)+3(196)= 1428 (196-140=56)
PLEASE ANSWER QUICK
What is the domain of f?
Answer:
-7 ≤ x ≤ 7
General Formulas and Concepts:
Algebra I
Coordinate Planes
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph we can see that our x values span from -7 to 7. Since both are closed dot, they are inclusive in our domain:
[-7, 7] or -7 ≤ x ≤ 7
Answer:
A -7<=x<=7
Step-by-step explanation:
Domain is the set of x values which fulfill the function. We can tell from the graph that the x values start from -7 and last to 7. therefore the domain is A
please answer fast
10 marks
Answer:
AB = 5.2 cm , ED = 5 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
(a)
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
13.5 × AB = 70.2 ( divide both sides by 13.5 )
AB = 5.2 cm
-------------------------------------------
(b)
[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
6 × AD = 54 ( divide both sides by 6 )
AD = 9
Then
ED = AD - AE = 9 - 4 = 5 cm
Which set of ordered pairs represents a function?
A. {(0,5), (2,5),(4,5), (6,5), (8,5)}
B. {(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
C. {(2,3), (3, 4), (4,3), (3, 2), (2, 1)}
D. {(1, 4), (2, 4), (3, 4), (4, 3), (4, 2)}
what is the answer ?????
Answer:
2456≈2500
14725=14700 (to 3sf)
please , answer this question:(
Answer:
50sStep-by-step explanation:
To find algebraic expression, you need to look at the paragraphCost of 1 gift card of music : $50Cost of each song : s dollarsWe have to multiply 50 by s dollars.If you estimate 124x22 by rounding to the nearest ten, will you get an overestimate or an underestimate?
100 points if you get this
Answer:
....
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class pack for $135 A 20-class yoga package for $260
Answer:
it is the $14 pack
Step-by-step explanation:
the reason it is the $14 pack is because you can buy 2 of them for $28 dollars and wont have o pay #135 or $260 for something like that.
.−3(4x + 3) + 4(6x + 1) = 43
What is the solution?
Answer:
x = 4
Step-by-step explanation:
After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.
-3(4x +3) +4(6x +1) = 43 . . . . . . given
-12x -9 +24x +4 = 43 . . . . . eliminate parentheses
12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)
12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant
x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x
The solution is x = 4.
__
Check
-3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x
-3(16 +3) +4(24 +1) = 43
-3(19) +4(25) = 43
-57 +100 = 43 . . . . . true
PLEASE HELP!!!!! I NEED THE ANSWER SOON
Two systems of equations are shown:
System A System B
3x + 2y = 3 −x − 14y = 1
−2x − 8y = −1 −2x − 8y = −1
Which of the following statements is correct about the two systems of equations?
A.)The value of x for System B will be one-third of the value of x for System A because the coefficient of x in the first equation of System B is one third times the coefficient of x in the first equation of System A.
B.) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
C.) They will have the same solution because they represent the same lines when plotted on the coordinate axes.
D.)They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A.
It took Jada's aunt 3/4 hour to put a puzzle together. It took Jada 2 1/3 times as long as her aunt to put the puzzle together.
How long did it take Jada to put the puzzle together?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
1 3/4 brainliest please
Step-by-step explanation:
Answer:It took Jada 1 3/4 hours to put the puzzle together.
Step-by-step explanation: Multiply 3/4 by 2 1/3 and you get the answer.
been working on this for a while and can’t figure it out, can someone help?
Answer:
x = 24 4/5
Step-by-step explanation:
Simply reverse this - add 20 to 4, and 3/5 to 1/5, and you have X.
Find the slope of the line that passes through (7,1) and (6,8)
Answer:
-7
y=-7x+50
Step-by-step explanation:
WILL MARK AS BRAINLIEST
I need assistance on this question please
X-3y=24
Answer:
x = -24 + 3y
Step-by-step explanation:
In each figure, solve for X
Answer:
x=15
Step-by-step explanation:
7x+3x-4=146
10x-4=146
10x=150
X=15
The two sides added up equals the outside length.
Hope this helps if this does please mark as brainliest
what is a two way frequency table
Answer:
A two-way table is a way to display frequencies for two different categories gathered from a one group of people.
Step-by-step explanation:
Answer:
A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.
Step-by-step explanation:
what is the answer??????
Answer:
1) B 1 1/32 2) A 1.8
Step-by-step explanation:
1) 2 3/4÷2 2/3
Turn into improper fractions.
11/4÷8/3
Keep Change Flip
11/4x3/8
Multiply.
33/32
=1 1/32
2) 1 4/5 as a decimal.
Turn into an improper fraction.
9/5
Divide.
=1.8
Hope this helps :)
Please help me, if you do not know do not answer please!
Step-by-step explanation:
Relation 1 :-
For each different inputs we don't have distinct outputs . As in 2nd and 4th . So it's not a function .
Not a function
Relation 2 :-
For same inputs we have distinct outputs . So it's not a function .
Not a Function
Relation 3 :-
For each different inputs we don't have distinct outputs . As in 2nd and 1st . So it's not a function .
Not a function
Relation 4 :-
For same inputs we do have distinct outputs . So it's not a function .
Not a Function