Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that [tex]X = 80, \mu = 77, \sigma = 4.9[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 77}{4.9}[/tex]
[tex]Z = 0.61[/tex]
Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that [tex]X = 78, \mu = 75, \sigma = 3.7[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 78}{3.7}[/tex]
[tex]Z = 0.81[/tex]
Rachel's z-score was of 0.81.
AABC maps the outline of a new park. What is the area of the park?
Answer:
C. 10
Step-by-step explanation:
AC = 4 units
BC = 5 units
use the triangle formula
1/2 × 4 × 5 = 10
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x²/2x + 6/
3х - 5/X +3
Option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.
What is a rational expression?A rational expression is the ratio of two polynomials. It looks like fractions that have variables in their denominators. A rational expression is considered simplified if there are no common factors in its numerator and denominator.
For the given situation,
The rational expression is
7x²/(2x + 6) ÷ (3х - 5)/(x +3)
⇒ [tex]\frac{\frac{7x^{2} }{2x+6} }{\frac{3x-5}{x+3} }[/tex]
In conversion of division to multiplication, we need to change the division sign to multiplication sign and reciprocal the rational expression for simplification.
⇒ [tex](\frac{7x^{2} }{2x+6} )(\frac{x+3}{3x-5} )[/tex]
⇒ [tex](\frac{7x^{2} }{2(x+3)} )(\frac{x+3}{3x-5} )[/tex]
⇒ [tex](\frac{7x^{2} }{2(1)} )(\frac{1}{3x-5} )[/tex]
⇒ [tex]\frac{7x^{2} }{6x-10}[/tex]
Hence we can conclude that option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.
Learn more about rational expression here
https://brainly.com/question/17134322
#SPJ2
When I solved this quadratic using the square root property, I am not sure if i did it correctly and I am not sure if there should be two x solutions.
Answer:
yup your answer is right
Step-by-step explanation:
two x solutions are +2√3
+2√3 can be written as +2√3 or -2√3
Answer:
yesssss you are rightttt
Pleas help
Today is payday at your job at Toys R Us! You go to the bank to deposit your $150 check into your account. You receive a deposit slip. You decide to go to American Eagle. There you see a pair of jeans you like on sale for $39.99 from the usual $69.99. Wow! This is a steal! You pay the store attendant using your debit card, and you are the proud owner of a brand new pair of American Eagle jeans! With this scene in mind, Name the three uses of money and describe how each use is displayed in this scenario. Be specific.
Answer:
earning the money,depositing the money, and spending the money.
you worked all week to earn the money.
You deposit your money in your account.
You spent some money at American eagle.
Step-by-step explanation:
Can someone please help me?
9514 1404 393
Answer:
20%
Step-by-step explanation:
A pie chart is constructed so that the angle represents the ratio that sector has to the whole. Here, you want to know the fraction ...
English/Class = 72°/360° = 0.20 = 0.20×100% = 20%
20% of the students chose English.
1. What is the median of the following numbers? 36,42,28, 52, 48, 36, 31
36
O 42
O 48
All I'm asking is help me and don't rip me off I'm being generous
Answer:
the eqaution would be
C=1.25h-0.5
The solution for 4 boxes would be
4.50 dollars
Step-by-step explanation:
Well c in this case is total
h is the amount of boxes
Since each box (h) cost $1.25 each, you multiply 1.25 by h.
Then that one time coupon off his total would be just -0.50
15% of number is 54. What is 2/3 of that number?
9514 1404 393
Answer:
240
Step-by-step explanation:
The value is proportional to the fraction:
n/(2/3) = 54/(0.15)
n = (2/3)(54/0.15) = 240 . . . . . multiply by 2/3
2/3 of the number is 240.
Solve for y:5y+2-2y=8y-4-2y
Answer:
2
Step-by-step explanation:
5y+2-2y=8y-4-2y
5y-2y=8y-2y-4-2
3y=6y-6
6y-3y=6
3y=6
y=6/3
y=2
Determine if the representation below is an example of a function or not a function (1,3), (3,3), (4,5), (6,5), (7,7), (9,7)
Answer:
Yes.
Step-by-step explanation:
No x value is used twice.
ALGEBRA
identify the terms, coefficients, and constants in the expression.
5m+9
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
plz help I will give the brainlist David drew this diagram of a picture frame he is going to make. Each square represents 1 square inch. What is the area of the picture frame?
Answer:
32
Step-by-step explanation:
describe a good and safe relationship
Answer:
Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.
Step-by-step explanation:
I hope this helps :)
Find the value of x for ABCD is a parallelogram
Find parallelogram ABCD attached
Answer:
x = 3
Step-by-step explanation:
In parallelograms, the diagonals typically divide each other into 2 equal parts.
This means that from the attached parallelogram, we can say that;
4x - 6 = 2x or 6x - 15 = x
Thus;
4x - 2x = 6
2x = 6
x = 6/2
x = 3
Let's confirm with the second equation;
6x - x = 15
5x = 15
x = 15/5
x = 3
Solve each of the following equations show its solution set a number line your answers |5-7r| =3
Answer:
R= 2/7 or 8/7
Step-by-step explanation:
make a number line of 1/7 fraction and plot the dots
Evaluate the expression: 12 x (3+2)² ÷ 2 -10
Answer:
140
Step-by-step explanation:
Here, we use BODMAS
12 x (3+2)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 × 25 ÷ 2 - 10
12 × 12.5 - 10
150 - 10 = 140
Thus, The answer is 140
-TheUnknownScientist
Four fewer than triple the sum of x and 3 is 17
Answer:
4- 3(x -3) =17 x =10
Step-by-step explanation:
Please answer I need help for math
Answer:
D. 248mi^2
Step-by-step explanation:
first find the area of the top and bottom which is 6x4 which is 24
then find the area of the side squares 10x4 which is 40 and then find the front and back squares which is 6x10 which is 60. then add them all up 24+24+40+40+60+60=248
I need help with this i cant cuaet understand it.
Answer:
Seattle is more likely to have rain.
Step-by-step explanation:
Seattle has a 75% chance of rain
Tacoma has a 1/4 chance of rain.
100% = 4/4
75% = 3/4
50% = 2/4
25% = 1/4
25% < 75%
Answer:
Step-by-step explanation:
The mean price for used cars is $10,550. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of 50 cars are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
a. Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership.
b. What is the p-value?
c. At αα= .05, what is your conclusion?
Answer:
go to algebra answers.com
Step-by-step explanation:
50 POINTS!! URGENT !! PLS HELP
Answer:
Option C
Step-by-step explanation:
The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,
1st side :-
= 8:3
2nd side :-
= 10 : 4 = 5:2
3rd side :-
= 6:5 .
Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .
Option C is correct .
Find the roots. 2x^2+7x-15=0
Answer
3/2, -5
Step-by-step explanation:
Can someone help me with 6? And 8 I posted
Answer:
I answered 6 already. I don't now what 7 means though sorry
Step-by-step explanation:
What type of angles are 4 and 5? Refer to the image attached pls
Answer:
alternate interior angles
Step-by-step explanation:
Answer:
alternate interior angles
kengrew 4/5 of an inch last year sang grew three eighths of an inch who grew more and by how much
Answer:
Ken;
Step-by-step explanation:
Ken grew 4/5 of an inch. 4/5=0.8
Sang grew 3/8 of an inch. 3/8= 0.375
0.8 > 0.375 so Ken grew more.
0.8 - 0.375 = 0.425
So, Ken grew 0.425 more inches than Sang grew. 0.425 is also the same thing as 17/40.
Cos(x+y)cos(x-y)=cos^2y - sin^2x
cos(x + y) cos(x - y) = (cos(x) cos(y) - sin(x) sin(y)) (cos(x) cos(y) + sin(x) sin(y))
… = (cos(x) cos(y))² - sin(x) sin(y) cos(x) cos(y) + sin(x) sin(y) cos(x) cos(y) - (sin(x) sin(y))²
… = (cos(x) cos(y)) - (sin(x) sin(y))²
… = cos²(x) cos²(y) - sin²(x) sin²(y)
… = (1 - sin²(x)) cos²(y) - sin²(x) sin²(y)
… = cos²(y) - sin²(x) cos²(y) - sin²(x) sin²(y)
… = cos²(y) - sin²(x) (cos²(y) + sin²(y))
… = cos²(y) - sin²(x)
Convert 3y=-x + 5 into slope form
Answer:
y=-x/3+5/3
Step-by-step explanation:
slope form is y=mx+b
Laura runs 6 miles in 50 minutes. At the same rate,how many miles would she run in 35 minutes?
A 14
B 8
C 11
D 20
I'm pose to simplify it
What is the area of this parallelogram?
104 m²
88 m²
56 m²
32 m²
Answer: To find area of a rectangle, multiply its base (length) by its height (width). Plug in the base, 7 meters, and the height, 8 meters. So the area of Rectangle DFBE is 56 square meters.
88m
HOPE THIS HELPS