Answer:
Due to the higher z-score, Reed performed better in relationship to their peers
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Whoever had the higher z-score performed better in relation to their peers.
Maria:
Took the SAT, grade 1270, so [tex]X = 1270[/tex]
Mean score of 1060 with standard deviation of 195 (max score of 1600). This means that [tex]\mu = 1060, \sigma = 295[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1270 - 1060}{295}[/tex]
[tex]Z = 0.71[/tex]
Reed:
Took the ACT, score of 27, so [tex]X = 27[/tex]
Mean of 20.9 with standard deviation of 5.6, which means that [tex]\mu = 20.9, \sigma = 5.6[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 20.9}{5.6}[/tex]
[tex]Z = 1.09[/tex]
Due to the higher z-score, Reed performed better in relationship to their peers
(312) 9 = 3. (9.12)
O A. True
O B. False
Answer:
False
Step-by-step explanation:
Since rounding 312 to the nearest hundred will be 300 and not 3 and rounding 9.12 to the nearest one is 9
and 300≠9
Tara made 9 identical bags using 2 yards of fabric. How much fabric did Tara use for each bag?
Answer she used 4.5 for each bag.
Step-by-step explanation:
Answer:
2/9 or
0.2222222222222222222222222222222222222222222222222222222222222222... decimal
Step-by-step explanation:
help please, i’ll mark brainliest
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The corresponding sides are proportional:
(2x +1)/5 = (x +2)/3
3(2x +1) = 5(x +2) . . . . . cross multiply
6x +3 = 5x +10 . . . . . . . eliminate parentheses
x = 7 . . . . . . . . . . . . . . . subtract 5x+3 from both sides
i will give you brainliest if the answer is correct
Answer:
x = 3
Step-by-step explanation:
x = (sq rt 3)( sq rt 3) because the leg opposite the 30 degree angle (sq rt 3) times the set value of sq rt 3 = the leg adjacent to the 30 degree angle.
x = (sq rt 3)(sq rt 3)
x = 3
PLLLLLLZZZZ HELP IT IS DUE NOW
Answer:
(1.5,-4) top left (-1.5,4)
Step-by-step explanation:
The point lies in the bottom right at (1.5,-4), and if you reflcting it across the x and y axis the point is going to be in the oppisite quadrant and oppisite of the original point. example if the coordinates are X value, reflecting them will make it -x, making positves negatives and vice versa.
P. S. you should start reviewing your school work for a test like a week before to have enough time to review it all.
. What is the change of temperature if it was -20 degrees and rose to 14 degrees?
Answer:
34
Step-by-step explanation:
please mark brainly :)
please help me work this out! set up and solve a quadratic equation to work out the value of x
Answer:
x = 8
Step-by-step explanation:
✔️Area of the square = s²
Where,
s = (2x - 4)
Area = (2x - 4)² = (2x - 4)(2x - 4) = 2x(2x - 4) -4(2x - 4)
= 4x² - 8x - 8x + 16
Area of square = 4x² - 16x + 16
Area of rectangle = L × W = (3x - 6) × x
= 3x² - 6x
✔️Since both have the same area, therefore,
4x² - 16x + 16 = 3x² - 6x
Collect like terms
4x² - 3x² - 16x + 6x + 16 = 0
x² - 10x + 16 = 0
Factorize
x² - 2x - 8x + 16 = 0
x(x - 2) -8(x - 2) = 0
(x - 2)(x - 8) = 0
(x - 2) = 0 or (x - 8) = 0
x = 2 or x = 8
If we plug in x = 2 into any of the given side length, we would have 0. (i.e. 2x - 4 = 2*2 - 4 = 0)
So the value of x cannot be 2 because the length of any of the shape cannot be 0.
So therefore, the value of x = 8
please help
Professor Ivy’s students have the following scores on her Exam.
61 88 67 88 91 69 45 92 52 38 98
Find the mode value.
Answer:
88
Step-by-step explanation:
The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.
Which graph represents the solution set of this inequality?
119 +5 < 49
Choose 1 answer:
Answer:
to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.
A prime number is a number that is evenly divisible only by 1 and itself. The prime numbers less than 100 are listed below.2 3 5 7 11 13 17 19 23 29 3137 41 43 47 53 59 61 67 71 73 7983 89 97Choose one of these numbers at random. Find the probability thata. The number is odd b. The sum of the digits is odd c. The number is greater than 70
Answer:
a. 0.96 = 96% probability that the number is odd.
b. 0.48 = 48% probability that the sum of the digits is odd.
c. 0.24 = 24% probability that the number is greater than 70.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We are given the prime numbers less than 100, they are:
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
There are 25 prime numbers less than 100.
a. The number is odd
Of the 25, 24 are odd, only the number 2 is even. So
24/25 = 0.96 = 96%
0.96 = 96% probability that the number is odd.
b. The sum of the digits is odd
The sum of the digits is odd for:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them
12/25 = 0.48 = 48%
0.48 = 48% probability that the sum of the digits is odd.
c. The number is greater than 70
71, 73, 79, 83, 89, 97. 6 of them
6/25 = 0.24 = 24%
0.24 = 24% probability that the number is greater than 70.
A) The probability that one of the numbers is odd is; 96%
B) The probability that the sum of the digits is odd is; 48%
C) The probability that the number is greater than 70 is; 25%
We are given the prime numbers;
2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
This is a total of 25 prime numbers.
Thus; N = 25
A) The number of odd numbers are 24.
Thus,probability of selecting an odd number is;
P(odd number) = 24/25
P(odd number) = 0.96 or 96%
B) The numbers that their sum is odd are:
3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89
Kindly note that the single numbers are added to zero to make them odd too.
Thus there are 12 of them that their sum are odd.
P(sum is odd) = 12/25
P(sum is odd) = 0.48 or 48%
C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.
Thus;
P(number is greater than 70) = 6/25
P(number is greater than 70) = 0.25 or 25%
Read more about probability of selection of numbers at; https://brainly.com/question/251701
Which is less and why? -5 OR-6
2. Which expression is equivalent to 5-(-8)?
A (-5) + 8 B 8+5
C 8-5
D 5-8
Answer:
B. 8 + 5
Step-by-step explanation:
5 - (-8)
= 5 + 8
= 8 + 5
What is m∠P? Enter only value in your response.
Answer:
Is there a photo I can look at to determine the answer?
Step-by-step explanation:
A taxi driver uses the formula 3.00 +1.5m to calculate the cost of a taxi
ride where m is the number of miles driven. What is the fair for a taxi
ride that is 12 miles long? Use the correct units.
Answer:
24$
Step-by-step explanation:
12m/1.5m=8 8*3=24
plz help me brainlest for whoever answers
Answer:
Circumference = 37.68
Area = 113.04
Step-by-step explanation:
Circumference = π × d
Circumference = 3,14 × 12 feet
Circumference = 37.68
Area = π × r²
Area = 3,14 × 6 × 6
Area = 113.04
Please help!!!!!!! 100 points
Answer:
ur missing:
images
materials list
sequential steps
title
Step-by-step explanation:
I was also looking for an answer lol!
f(x) = x2 + 1
f(-3)=)
Answer:
f(-3) means, put -3 at x
therefore, f(-3)= 3²+1
=10
Listen in equation what is 596×9 subtract 64÷5 is this hard 13 points
Answer:
5351.2
Step-by-step explanation:
596 times 9 = 5364
64 divided by 5 = 12.8
5364 minus 12.8 = 5351.2
how do you solve the system:
y+1=2x
5y+5=10x
Answer:
choose "infinitely more solutions"
Step-by-step explanation:
Let's solve this system by substitution method
y+1=2x
- 1 = - 1
y = 2x -1 <-- sbstitute this in the next equation
---------------------------------------------------------------------------------
5y+5 = 10x
5(2x -1) + 5 = 10x
10x -5 + 5 = 10x
10x + 0= 10x
- 10x = -10x
0 = 0 <-- infinitely more solutions
Answer:
5+5=10x
y=1×5+5=10x45×+=1+32=
Bob ate 24 pizzas in 1 1/3 hours. How many pizzas per hour did he eat?
What is the volume of this figure need help asap!!!
Answer:
312
Step-by-step explanation:
We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.
Answer:
Volume of the figure= 312 yd²
Step-by-step explanation:
Okay let's split this figure up into two different rectangles. Let's draw the line at the part of the rectangle that is nearest us (looking at the picture). The little part where it says 6 yd. and 4 yd.
We know volume is V= lwh
Start with the main rectangle (bigger one)
I see l=12, w=11, and h=2
So V(of main rectangle)=12x11x2
V(of main rectangle)=264
We have to go do the smaller rectangle now
I see l=4, w=6, but I know the h=2 because the height is the same as the main triangle.
So V(of smaller rectangle)=6x4x2
V(of smaller rectangle)=48
Now knowing the volume of the main and smaller rectangle, we have to add them to find the volume of the figure.
V(of smaller rectangle) + V(of main rectangle)
264 + 48
Volume of the figure= 312 yd²
Tell whether the triangles are similar. Explain your answer.
Please help!!
Evaluate using the given values.
a=1 b=2 c=3 x= -3 y= -2 z= -1
1.)2a+b/2 -c/b
2.)4x+3y
3.)5ab
4.)7y+2b
5.)7+a
6.)2b/4y
7.)3c-5z^2
8.)xyz
9.)ab/y^2
10.)6/abc
Answers:
1)1 1/2
2)-18
3)10
4)-10
5)8
6)-1/2
7) 34
8)-6
9)-1/2
10) 1
Plz guys help me plz
Can someone help me with this please
Answer:
9,17
Step-by-step explanation:
larger no=8+smaller no
larger no+ smaller no= 26
::8+s(larger no from equation 1 )+s=26
*2s=18
*s=9
What is the x-intercept of the graph of 2x - 4y = 7
Answer:
y=1/2x-7/4
Step-by-step explanation:
(3.5, 0)
There are 15 boys and 12 girls and Mrs. smiths class what is the ratio of girls to boys written as a fraction in simplest form?
Answer:
4/5
Step-by-step explanation:
The ratio of girls to boys is 12/15. Since, there are 12 girls to the 15 boys in the classroom.
Then, you would simplify 12/15.
The simplified form of 12/15 is 4/5
How much greater is the distance between buoys A and B than the distance between
buoys B and C?
Answer:
4
Step-by-step explanation:
1. the distance between A and B can be calculated:
[tex]|AB|=\sqrt{(4+4)^2+(-4-2)^2} =10.[/tex]
2. the distance between B and C can be calculated:
[tex]|BC|=\sqrt{(-4+4)^2+(2+4)^2} =6.[/tex]
3. if AB=10, BC=6, then difference between them is 4.
77.5 as fraction or a mix number simplest form
Answer:
31/40 is a fraction of 77.5
Answer:
Well, 77.5 in fraction form is 77 1/2, also simplified.
Step-by-step explanation:
please help. no body ever helps right away. i’ll mark brainlist and give thanks. geometry btw
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The angle of depression can be copied inside the triangle to the angle of elevation (at lower right). Then the side x can be seen to be adjacent to the angle.
The mnemonic SOH CAH TOA reminds you of the relations. Here, we have the hypotenuse and we want the adjacent angle. The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
Multiplying by 500 ft gives ...
x = (500 ft)cos(29°)
x ≈ 437.3 ft
_____
Additional comment
You have posted a number of problems that make use of this geometry. They are all solved the same way:
a) identify the desired measure and the given measures
b) using SOH CAH TOA, identify the relation applicable to those measures
c) fill in the given values in the equation
d) solve for the unknown
You may need to make use of what you know about angles and triangles in order to relate given angles to ones you need to use.
