Answers
Answer:
Probability = [tex]\frac{22}{31}[/tex]
Step-by-step explanation:
Number of students working part time, living in dorm = 22
Total number of students working part (either living in dorm or not in dorm)
= 22 + 9
= 31
Probability of the students working part time and living in dorm,
P = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex] = [tex]\frac{\text{Students working part time either living in dorm}}{\text{Total number of students working part time either living in dorm or not}}[/tex]
P = [tex]\frac{22}{31}[/tex]
Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is [tex]\frac{22}{31}[/tex].
Related Questions
2/3 ×3 3/5 give your answer in its simplest form.
Answers
Answer:
6/5
Step-by-step explanation:
The answer is 6/5. 1⅕ in mixed number.
Answer:
2/3×3×3/5=2/1×3/5
=6/5
what conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0
Answers
Answer:
x=-3
Step-by-step explanation:
If x=-3, then
x³+x²-2x+12=-27+9+6+12=-27+27=0
If this is true, then x+3 is a factor. So:
x³+x²-2x+12/x+3=x²-2x+4
So the factors of x³+x²-2x+12 are:
(x+3)(x²-2x+4)
((x²-2x+4) has no real roots)........
What are the coordinates of the image of vertex G after a reflection across the line y = x?
Answers
Answer:
The coordinates of the image of vertex G are (-5, 4)
Step-by-step explanation:
Let us revise some cases of reflection
If the point (x, y) reflected across the x-axis , then its image is (x, -y) If the point (x, y) reflected across the y-axis , then its image is (-x, y) If the point (x, y) reflected across the line y = x , then its image is (y, x) If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)From the given figure
∵ The line of the reflection is y = x
→ That means we will switch the coordinates of the point to find its image
∵ The coordinates of vertex G are (4, -5)
∴ The x-coordinate = 4 and the y-coordinate = -5
→ Switch the two coordinates
∴ The coordinates of its image G' are (-5, 4)
∴ The coordinates of the image of vertex G are (-5, 4)
28. The value of 'x' and 'y in the parallelogram ABCD, Where diagonals intersec
at 'O',OA = x - y,
OB = 15, OC = 8 and OD = y-6.
A) x = 17, y = 9
B) x = 29, y = 21
C) x = 9, y = 21
D) x = 21, y = 17
Answers
Answer:
B is the answer
x=29 and y=21
Step-by-step explanation:
diagonals of parallelogram bisect each other . so AO will be equal to OC and OB will be equal to OD
Answer:
B.
Step-by-step explanation:
Did it on 3dg3nuity ^.^
Question 3(Multiple Choice Worth 5 points)
(02.06 MC)
What is the measure of angle x?
O40 degrees
O80 degrees
O130 degrees
O140 degrees
Answers
These are Alternate Angles and because the opposite is 40 and they have to add up to 180
Angle x is 140 Degrees
Twenty students from Sherman High School were accepted at Wallaby University. Of
those students, eight were offered military scholarships and 12 were not. Mr. Dory
believes Wallaby University may be accepting students with lower SAT scores if they
have a military scholarship. The newly accepted student SAT scores are shown here.
Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300
No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200,
1220, 1330
Part A: Do these data provide convincing evidence of a difference in SAT scores
between students with and without a military scholarship? Carry out an appropriate
test at the a = 0.05 significance level. (5 points)
Part B: Create and interpret a 95% confidence interval for the difference in SAT
scores between students with and without a military scholarship. (5 points) (10
points)
Answers
Answer:
Data provide convincing evidence of a difference in SAT scores between students with and without a military scholarship is explained below in details.
Step-by-step explanation:
This is a quiz of 2 autonomous groups. The population model differences are not understood. it is a two-tailed examination. Let w be the index for scores of students with army research and o be the index for scores of students without army research.
Therefore, the population means would be μw and μo.
The irregular variable is x w - xo = variation in the sample mean records of students with military accomplishments and students without.
For students with military accomplishments,
n = 8
Mean = (850 + 925 + 980 + 1080 + 1200 + 1220 + 1240 + 1300)/8
Mean = 1099.375
Standard deviation = √(summation(x - mean)/n
Summation(x - mean) = (850 - 1099.375)^2 + (925 - 1099.375)^2 + (980 - 1099.375)^2 + (1080 - 1099.375)^2 + (1200 - 1099.375)^2 + (1220 - 1099.375)^2 + (1240 - 1099.375)^2 + (1300 -1099.375)^2 = 191921.875
Standard deviation = √(191921.875/8 = 154.89
For students without military scholarship,
n = 12
Mean = (820 + 850 + 980 + 1010 + 1020 + 1080 + 1100 + 1120 + 1120 + 1200 + 1220 + 1330)/12
Mean = 1073.83
Summation(x - mean) = (820 - 1073.83)^2 + (850 - 1073.83)^2 + (980 - 1073.83)^2 + (1010 - 1073.83)^2 + (1020 - 1073.83)^2 + (1080 - 1073.83)^2 + (1100 - 1073.83)^2 + (1120 - 1073.83)^2 + (1120 - 1073.83)^2 + (1200 - 1073.83)^2 + (1220 - 1073.83)^2 + (1330 - 1073.83)^2 = 238199.4268
Standard deviation = √(238199.4268/12 = 140.89
We would set up the hypothesis.
The null hypothesis is
H0 : μw = μo H0 : μw - μo = 0
The alternative hypothesis is
Ha : μw ≠ μo Ha : μw - μo ≠ 0
Since sample standard deviation is recognized, we would analyis the examination statistic by using the t examination. The formula is
(xw - xo)/√(sw²/nw + so²/no)
From the information given,
xw = 1099.375
xo = 1073.83
sw = 154.89
so = 140.89
nw = 8
no = 12
t = (1099.375 - 1073.83)/√(154.89²/8 + 140.89²/12)
t = 0.37
The formula for determining the degree of freedom is
df = [sw²/nw + so²/no]²/(1/nw - 1)(sw²/nw)² + (1/no - 1)(so²/no)²
df = [154.89²/8 + 140.89²/12]²/(1/8 - 1)(154.89²/8)² + (1/12 - 1)(140.89²/12)² = 21650688.37/1533492.15
df = 14
We would get the probability count from the t test calculator. It becomes
p value = 0.72
Since the level of importance of 0.05 < the p value of 0.72, we would not neglect the null hypothesis.
Therefore, these data do not present an acceptable indication of a difference in SAT scores between students with and without a military scholarship.
Part B
The formula for getting the confidence interval for the difference of two population means is expressed as
z = (xw - xo) ± z ×√(sw²/nw + so²/no)
For a 95% confidence interval, the z score is 1.96
xw - xo = 1099.375 - 1073.83 = 25.55
z√(sw²/nw + so²/no) = 1.96 × √(154.89²/8 + 140.89²/12) = 1.96 × √2998.86 + 1654.17)
= 133.7
The confidence interval is
25.55 ± 133.7
14.
A right triangle has an area of
24. If the height of a simillar
triangle is double that of the
original triangle, how much
larger is the area of the
second triangle than the first?
HELP!
Answers
Answer:
u should times 24 by 24 which will make 576
Step-by-step explanation:
Write the equation in standard form. Identify the vertex, axis of symmetry, and direction of opening of the parabola. show work
y = x ^ 2 + 2x + 2
Answers
find the determinant of the following matrix. [2 -3] [1 -4]
Answers
Answer:
A
Step-by-step explanation:
I don’t know
One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?
Answers
Answer:
21 feet
Step-by-step explanation:
To solve this question, we would be using the proportion
Shadow /Height
From the question:.
Manny's shadow = 414 feet
Manny's Height = 512 feet
Height of the tree = ? = x
Shadow of the tree = 17 feet
Hence:
414/512 = 17/ x
Cross Multiply
414 × x = 512 × 17
x = 512 × 17/414
x = 21.024154589 feet
x ≈ Approximately = 21 feet
The height of the tree = 21 feet
The height of the tree is 21 feet.
Given that,
Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. Here we assume the height be xBased on the above information, the calculation is as follows:
[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]
x = 21.02
= 21 feet
Therefore we can conclude that the height of the tree is 21 feet.
Learn more: brainly.com/question/24169758
y – 11 = 3(x – 2)
in standard form
Answers
Answer:
3x + y = -5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyEquality PropertiesAlgebra I
Standard Form: Ax + By = C
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
[PS] y - 11 = 3(x - 2)
Step 2: Rewrite
Find Standard Form
Distribute 3: y - 11 = 3x - 6Subtract 3x on both sides: -3x - y - 11 = -6Add 11 to both sides: -3x - y = 5Factor -1: -1(3x + y) = 5Divide -1 on both sides: 3x + y = -5The Ratio of the length of Sam's rope is to that of his friend Ryan's rope is 2 : 7. If Ryan's rope is 42 inches long, how long is Sam's rope ?
Answers
Step-by-step explanation:
Sam's rope = 42 inches * (2/7) = 12 inches.
The graph of y = f(x) is graphed below. What is the end behavior of f(x)?
Answers
9514 1404 393
Answer:
(b) signs of the infinities are opposite
Step-by-step explanation:
The graph shows a trend toward +∞ as x gets more negative, and toward -∞ as x gets more positive. That is, the sign of the end behavior of y is opposite that of x. This is expressed by the second choice.
List the sides in order from the smallest to the largest
Answers
Answer:
The answer would be A, or line LJ, line KL, and line JK.
Step-by-step explanation:
You can tell which lines are smaller by using the angle measurements. The direction from which the angle is shown points to their respected line.
So, angle K goes with line LJ
Angle J goes with line LK
And angle L goes with line JK.
The size of the angle determines the size (not actual size) of the line.
#teamtrees #WAP (Water and Plant)
Is 14/950 more or less than 1/2 and why!
Answers
dont mind the dots already on the graph I was just trying to guess
Answers
Step-by-step explanation:
i wanna know too tho......
You are building a model of a mall. The scale factor is 6:24. The model is 9 inches tall. How tall is the actual statue?
Answers
Answer: 36 inches
Step-by-step explanation:
height of the building = 9inches.
scale factor of the building = 6:24.
solution
since a scale of 6:24, was used to scale down the original model, the initial or actual height of the statue would be.
[tex]= 9 * \frac{24}{6} \\\\= 9 * 4\\\\= 36 inches[/tex]
N is an interger what are the possible values of n A-, -2 ,-1, 0, 1, 2 ,3 ,4 ,5 ,6 B-, -1 ,1 ,2 ,3, 4, 5 ,6 C-, -2, -1 ,0 ,1, 2, 3 ,4, 5 D- ,-2 ,-1 ,0, 1 ,2, 3, 4, 5, 6, 7 E-, -1 ,0 ,1 ,2, 3 ,4 ,5 ,6
Answers
Answer:
All options have possible values of an integer
Explanation:
From the above options given all options are integers. An integer is a whole number, that is a number that is not a fraction or a decimal number. An integer can be negative, positive or zero such as the above given numbers. Here there are no fractions such as 1/4 or improper fractions as 1 3/4 or decimal numbers as 2.543, therefore all options are correct.
A store is having a Back To School Sale.The total for a skirt,a pair of shoes,and a pair of socks is $32.35 before tax.The pair of socks costs $3.75.The original prices of the skirt and shoes were the same.What was the sales price of the skirt
Answers
Answer:
The sales price of the skirt was $14.3.
Step-by-step explanation:
From the information given, you know that the total for the three items is $32.35 which is:
x+y+z=32.35
x is a skirt
y is a pair of shoes
z is a pair of socks
Also, you know that the pair of socks costs $3.75, so you can replace the value of z and subtract this from the total amount to have the price of the skirt plus the pair of shoes:
x+y+3.75=32.35
x+y=32.35-3.75
x+y=28.6
Now, as the original prices of the skirt and shoes were the same and you know that the sum of the two items is equal to $28.6, you can divide this by 2:
$28.6/2=$14.3
According to this, the answer is that the sales price of the skirt was $14.3.
Solve for b
5/b=45/36
B=
Answers
*cross multiply*
180=45b
180/45 = 45b/45
4 = b
b=4
* EASY * how many like terms are in the expression?
14x - 14y +7 - x + z +2x
A. 0
B. 2
C. 3
D. 5
Answers
Answer:
It’s either 2 or 3 but I’m say 2.
Samuel found the difference of the polynomials. (15x^2+11y^2+8x)-(7x^2+5y^2+2x)= blankx^2+6y^2+6x What value is missing from his solution?
Answers
Answer:
Co-efficient of [tex]x^{2}[/tex] is missing.
It should be 8[tex]x^{2}[/tex].
Step-by-step explanation:
Given two polynomials:
1st polynomial: [tex]15x^2+11y^2+8x[/tex]
2nd polynomial: [tex]-7x^2+5y^2+2x[/tex]
To find:
The value in the blank:
[tex](15x^2+11y^2+8x)-(7x^2+5y^2+2x)= \_\_ \ x^2+6y^2+6x[/tex]
Solution:
Here, we have 3 pair of like terms.
2 terms with [tex]x^{2}[/tex], 2 terms with [tex]y^{2}[/tex]and 2 terms with [tex]x[/tex].
Like terms can be subtracted.
Subtracting the terms with [tex]y^{2}[/tex], the coefficients will get subtracted.
[tex]11y^2 - 5y^2 = 6y^2[/tex]
Subtracting the terms with [tex]x[/tex], the coefficients will get subtracted.
[tex]8x -2x=6x[/tex]
Subtracting the terms with [tex]x^{2}[/tex], the coefficients will get subtracted.
[tex]15x^2 - 7x^2 =\bold{8}x^2[/tex]
Therefore, the answer is:
Co-efficient of [tex]x^{2}[/tex] is missing.
It should be 8[tex]x^{2}[/tex].
What is the surface area of the triangular prism
A.328.1
B.352.5
C.658.1
D.251.5
Answers
please help me with this step by step
Answers
There are 2 pies on the shelf. Each shelf is cut into eighths. How many pieces of pie are there?
Answers
Answer:
16
Step-by-step explanation:
each pie is cut into eighths meaning each pie is cut into 8 pieces now you have two pies in 8 pieces that looks like this 8+8=16 :]
WILL GIVE BRAINLIST IF RIGHT!!!!
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.
Answers
6(2x - 11) + 15 = 21
(12x - 66) + 15 = 21
12x - 51 = 21
12x = 21 + 51
12x = 72
x = 6
Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help
Answers
Answer:
S= 121
HJ= 150
Step-by-step explanation:
pop quiz?
june drove 116 miles and 5.8 hours at this rate how far will she drive in 5 hours
Answers
116 / 5.8 = 20
then multiply that by 5 to get how far she will go in 5 hours
20 * 5 = 100
here is a semicircle of radius x.
Answers
Answer:
a) C
b)
3.142x + 2x = 25.71
5.142x = 25.71
x = 5
Step-by-step explanation:
Expression for Semicircle perimeter: xπ + 2x. (C)
Therefore x(π + 2) = 25.71 and x = 25.71 / (π + 2) = 5.
Find the mode for the scores 3,850 5,300 8,550, 4.300: 5,350
Answers
Answer:
No Mode
Step-by-step explanation:
The mode is the answer that occurs most in a set of numbers, but there are no repetitive numbers in your set, so the answer is no mode.