Answer:
The probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
Step-by-step explanation:
We are given that Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6.
Mean = [tex]\mu = 76[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
we are supposed to find the probability that an incoming freshman scores between 61.6 and 80.2 i.e. P(61.6<x<80.2)
Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 61.6
So,[tex]Z=\frac{61.6-76}{6}[/tex]
Z=-2.4
Refer the z table for p value
So,p value =0.0082
At x = 80.2
So,[tex]Z=\frac{80.2-76}{6}[/tex]
Z=0.7
Refer the z table for p value
So,p value =0.7580
P(61.6<x<80.2)=P(x<80.2)-P(x<61.6)=0.7580-0.0082=0.7498
Hence the probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
Determine the values of the variables in isosceles trapezoid CHLE below.
Enter numbers only, do not enter units.
Answer:
The values of variables x and m are 11 and 17
Step-by-step explanation:
The question has missing details as the diagram of the trapezoid isn't attached.
(See attachment).
Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)
And
The angles at the top are also equal
8m = 11x + 15
At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..
The sum of interior= 360
So,
11x + 15 + 8m + 4x + 4x = 360
Collect like terms
11x + 4x + 4x + 8m = 360 - 15
19x + 8m = 345
Substitute 11x + 15 for 8m
19x + 11x + 15 = 345
30x + 15 = 345
30x = 345 - 15
30x = 330
Divide through by 30
30x/30 = 330/30
x = 11
Recall that 8m = 11x + 15;
8m = 11(11) + 15
8m = 121 + 15
8m = 136
Divide through by 8
8m/8 = 136/8
m = 17
Hence, the values of variables x and m are 11 and 17
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
Answer:
x = 5
y = - 3/2
Step-by-step explanation:
[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]
The augmented matrix is :
[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]
Now; to Row operations
Swap row 2 to row 1
[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]
Multiply row 1 with 2 and add to row 2 ;
1(2) = 2
-2(2) = -4
8(2) = 16
2 +2 = 4
4 +(-4) = 0
16+ 4 =20
Now; we have:
[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]
changing row 2 back to equation form:
4x + 0y = 20
4x = 20
x = 20/4
x = 5
substituting x = 5 in row 1
x - 2y = 8
5 - 2y = 8
-2y = 8 -5
-2y = 3
y = - 3/2
Each of Mrs. Moore's students uses a certain number of pencils per week
of school. There are 22 students in Mrs. Moore's class. If there are 36
weeks of school and Mrs. Moore's students use 3168 pencils in a school
year, how many pencils does each student use per week?
Answer:
4
Step-by-step explanation:
3,186/22= 144
144/36= 4
What happens if you decide to cash in your Certificate of Deposit (CD) before its maturity date?
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation:
I have a book on this kinda stuff! :D
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation: ED2022
Math question down below
Answer:
D. 604
Step-by-step explanation:
411/3 = 137
137 + 388 = 525
----------------------------------
(n) 604 - 79 = 525
what is the value of x?
Answer:
you need a d/protector to do this
Step-by-step explanation:
The volume of a cylinder is 40 ft which expression represents the volume of O.C. one with the same base and height as the cylinder
The volume of a cylinder is 40 ft which expression represents the volume of a Cone with the same base and height as the cylinder?
3(40) ft³
3(1/40) ft³
1/3(40)ft³
1/3(40²) ft³
Answer:
The expression that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³
Step-by-step explanation:
To find the expression that represents the volume of a cone with the same height and base as the cylinder, we will follow the steps below:
First write down the formula for calculating volume of a cone and volume of a cylinder
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
volume of a cylinder = πr²h
If the base are the same, this implies they have the same radius, and from the question, it states that they have the same height, hence;
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
from the question, the volume of the cylinder is 40 ft³
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
= [tex]\frac{1}{3}[/tex] (40) ft³
volume of a cone = [tex]\frac{1}{3}[/tex] (40) ft³
Therefore the expression that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³
please respond with the format showed on the picture so use . after the letter and display the answer (summarized: answer with one of the answers on the picture
Answer:
B. 19
Step-by-step explanation:
35-16=19
find the missing angle in the triangle
Answer:
60
Step-by-step explanation:
Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!
Answer:
60
Step-by-step explanation:
If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.
PLEASE HELP! Drag each tile to the correct box.
The height of an object launched upward from ground level is given by the function s(t) = -4.9t2 + 78.4t, where s(t) is the height in meters and t is the time in seconds. Arrange the time intervals in ascending order of the object's magnitude of average velocity over the interval.
Answer:
the distance of the object before it hits the ground after launch is t = 1.592 seconds
Step-by-step explanation:
The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t
when the object reach the ground then s(t) = 0
So; -4.9t² +7.8t = 0
-4.9t² +7.8t + 0 = 0
By using the quadratic equation
[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]
where; a = -4.9 ; b = 7.8 and c = 0
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]
[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]
Hence; the distance of the object before it hits the ground after launch is t = 1.592 seconds
Subtract.
(5x-1)-(3xy+c)
Answer:
5 x − 1 − 3 x y − c
The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
The given expression is (5x-1)-(3xy+c)
The subtraction between them is
5x - 1 - 3xy - c
Thus, the subtraction would be 5x - 1 - 3xy - c.
Learn more about linear equations;
https://brainly.com/question/11897796
Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same
Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.
Step-by-step explanation:
Club A can be represented by the equation y = 23x + 7 where x is the number of months and y is the cost.
Club B can be represented by the equation y = 16x + 35 where x is the number of months and y is the cost.
23x + 7 = 16x + 35 set the equation equal each other to solve for x
-7 -7
23x = 16x + 28
-16x -16x
7x= 28
x= 4 now we know the value of x is 4 so we will put it into the equation and solve for y
y= 16(4) + 35
y= 99
What is the range of the absolute value function below?
f(x) > -4
f(x) > -1
f(x) < 1
f(x) < 4
Answer:
y ≤1
Step-by-step explanation:
The range is the output values
It has a max at 1 and can be any value below 1
y ≤1
Answer:
f(x) < 1
Step-by-step explanation:
Max y value on the graph is y = 1, hence the range is f(x)《 1
From the given options,
f(x) < 1
I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest
The correct answer is a translation.
A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.
I hope this helps :)
Answer:
translation
Step-by-step explanation:
Tiffany answered 90% of the questions on her math test correctly.
There were 50 questions on the test. How many questions did Tiffany answer correctly:
I NEED TO SHOW MY WORKKK, thank you :))
50=100%
X=90%
X=50*90%/100
X=45
Answer:
45
Step-by-step explanation
90/100 × 50/1 50 goes into 100 2
90/2 × 1/1 = 45
Hope this helps
Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn
Answer:
18
Step-by-step explanation:
3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.
3*3 + (5+2*8) - 12
9 + (5 + 16) - 12
9 + 21 - 12
30 - 10 - 2
20 - 2
18
Answer:
18
Step-by-step explanation:
First what you would do is plug in the numbers.
3x3+(5+2x8)-12
Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.
3x3+(21)-12
Then you add 3 times 3 and get 9.
9+21-12
Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.
How many 9’s are there between 1 and a 100?
Answer:
20
Step-by-step explanation:
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the
field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the
population. Which was most likely true of the representative sample?
VA
The representative sample contained all 160 students,
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls,
Save and Exit
Next
Submit
Mark this and retum
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
A "sample" of something is a small part of it. A "representative sample" is a small part of the students that represents them all. A random sample would not include all 160 students. It is more likely that there would be more girls than boys, than more boys than girls. In total, there are more girls than boys: 95 girls to 65 boys. It is more likely that a sample of the total students would be just like the total, but smaller.
Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.
Answer:
600 sq mm
Step-by-step explanation:
I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape
area of rectangle= b x h
so, 15x30=450mm (square)
area of triangle= b x h (divided) 2
so, 10x30=300 (divided) by 2
= 150mm (square)
so, 450 (plus) 150= 600mm (square)
what kind of polynomial is 2x^4-4x^2
Answer:
Binomial
Step-by-step explanation:
It has 2 terms in the expression
Answer: quadratic polynomial
Step-by-step explanation:
A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.
Which polynomials are in standard form?
Answer:
Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.
Step-by-step explanation:
can someone explain the Pythagorean Theorem to me
Answer:
The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').
Step-by-step explanation:
What is the factored form of the polynomial?
f2 + 9x +20
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)
Answer:
(x + 4)(x + 5)
Step-by-step explanation:
If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x
A powerful computer is purchased for $2000, but loses 20% of its value each year.
Answer:
It loses $400 a year
Step-by-step explanation
$2000 x 20% or .20 = $400 per year is what the computer loses.
It loses a great deal of value a year.
Answer: 100n
Step-by-step explanation:
Each year it looses 100$ of its value each year.
Simplify. x + y - 0 x 2 - y 2
Answer:
-y^(2)+x+y
Step-by-step explanation:
What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.
Answer:
The y-coordinate of the solution is -5.
Step-by-step explanation:
I graphed the equations on the graph below to find the solution of the system.
If this answer is correct, please make me Brainliest!
Find the value of x in the figure. Enter the number ONLY!
Answer:
69
Step-by-step explanation:
15)
Which expression is a PRODUCT?
A)
8(6+ 3)
B)
8
(6 + 3)
5(2) + 2(6 x 3)
D)
5(2 + 3) - 4(8 + 1)
Step-by-step explanation:
the answer is
A,72
B,739
D,-11
What is a less than 16
Answer:
15 is a less than 16
Step-by-step explanation:
Answer:
What are the choices??
Step-by-step explanation:
Given these what is X if B-X=A
Answer:
B
Step-by-step explanation:
B-X=A
or
B-A=X
or
X=B-A
[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]
Answer:
answer is B
Step-by-step explanation:
