Answer:
9 = x (assuming 15 is the hypotenuse)
Step-by-step explanation:
15^2 = 12^2 + x^2
225 = 144 + x^2
subtract 144 from both sides
81 = x^2
square root both sides
9 = x
An information technology service at a large university surveyed 200 students from the College of Engineering and 100 students from the College of Arts. Among the survey participants, 91 Engineering students and 73 Arts students owned a laptop computer. Construct a 98% confidence interval for the difference between the proportions of laptop owners among Engineering and Arts students.
Answer:
CI = ( 0,1433 ; 0,4067 )
Step-by-step explanation:
College of Engineering
sample size n₁ = 200
sample proportion ( with laptop ) p₁ = 91/ 200 p₁ = 0,455 q₁ = 1 - p₁
q₁ = 0,545
College of Arts
sample size n₂ = 100
sample proportion ( with laptop ) p₂ = 73/ 100 p₂ = 0,73 q₂ = 1 - p₂
q₂ = 0,27
CI = 98 % significance level α = 2 % α = 0,02 α/2 = 0,01
From z-table we find z(c) for 0,01
z(c) = 2,328
CI = [ ( p₂ - p₁ ) ± z(c) * √ (p₁*q₁)/n₁ + (p₂*q₂)/n₂ ]
CI
[ ( 0,73 - 0,455 ) ± 2,328 * √ (0,455*0,545)/ 200 + ( 0,73*0,27)/100
CI = ( 0,275 ) ± 2,328 *√0,00123 + 0,001971
CI = ( 0,275 ± 2,328* 0,0566)
CI = ( 0,275 - 0,1317 ; 0,275 + 0,1317 )
CI = ( 0,1433 ; 0,4067 )
The values of the CI for the difference are always positive meaning that the proportion of students of Arts is greater than the proportion of students of Engineering
How does lack of sleep affect risk of injury?
O A. It causes illness.
B. It causes distractions.
C. It interferes with hearing.
D. It interferes with motor responses.
Answer:
D. It interferes with motor responses
Step-by-step explanation:
Don't ask why I know this
HELP IVE GOT 5 MINS!!
Answer:
< A = 148°
Step-by-step explanation:
<A = <B → 6x - 2° = 4x + 48° → 2x = 50° → x = 25°
<A = 6(25°) - 2° = 150° - 2° = 148°
Please help with this math question'
Answer:
h = 1296 feet
Step-by-step explanation:
Given that,
The vertical position of the object is :
[tex]h(t)=-16t^2+160t+896[/tex] .....(1)
We need to find the highest height reached by the object. For highest height,
Put dh/dt = 0
[tex]\dfrac{d}{dt}(-16t^2+160t+896)=0\\\\-32t+160\\\\t=\dfrac{160}{32}\\\\t=5\ s[/tex]
Put t = 5 in equation (1).
[tex]h(5)=-16(5)^2+160(5)+896\\\\=1296\ ft[/tex]
So, the height reached by the object is 1296 feet.
Find the slope of the line that passes through (3, 2) and (7,5)
Simplify your answer and write it as a simplified fraction.
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Slope is equal to the change in y over the change in x.
[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{5 - (2)}{7 - (3)} [/tex]
Simplify.
[tex]m = \frac{3}{4} [/tex]
Hence, the slope is 3/4.
Daniel started a video game with 30 tokens. He earned 8 more tokens 0/10
for jumping on a star, but lost 6 tokens for falling into a hole. When he
passed a checkpoint, his number of tokens doubled! Then he spent20
tokens to buy a flashlight. Which expression shows how many tokens he
has left?
2x(30+8-6-20)
2x(30+8)-(20-6)
2x30+8-6-20
2x(30+8-6)-20
Answer:
2x(30+8-6)-20
Step-by-step explanation:
Trying to help my daughter can't figure this out.
The perimeter of a rectangle is 72 meters. The width of the rectangle is 4meters less than the length. Find the length and width of the rectangle. (use l for the length)
Answer:
width equals 16
length = 20
Step-by-step explanation:
Hello there!
we know that the perimeter is 72 m
and the width is 4 m less then the length
perimeter is 2w+2l
w=width and l = length
72 + (2x-4) = 72+8 = 80
80 / 4 (because there are 4 values, w, w, l, l ) = 20
so now...
20 - 4 = w
16 = w
and 20 = l
16+16 = 32
20+20 = 40
32+40 = 72
Kevin buys a dining table and. 8 identical chairs for. $294. The table costs $198. How much does each chair cost? Show as bar models
Answer:
12 dollars per chair
Step-by-step explanation:
294 - 198 = 96
96 divided by 8 = 12
Please help me I need this to get a A please help me
Answer:
(0,-2)?
Step-by-step explanation:
Calculate: Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
Answer:
29
Step-by-step explanation:
P=a+b+c=11+5+13=29
Write an expression for the following statement:
“Twice a number is subtracted from eighteen”
Answer:
Expression of the statement = 18 - 2x
Answer:
18 - 2x
Step-by-step explanation:
7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 3.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.)
Answer:
You must survey 784 air passengers.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Assume that nothing is known about the percentage of passengers who prefer aisle seats.
This means that [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
Within 3.5 percentage points of the true population percentage.
We have to find n for which M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.035\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2[/tex]
[tex]n = 784[/tex]
You must survey 784 air passengers.
Multiply. √20 · √63
A. 5√35
B. 6√35
C. 6√12
D. 6√5
30 points!! Pls help :(
Answer:
B. 6√35 po correctStep-by-step explanation:
simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
6√35
Decimal Form:
35.49647869
Hope it help po.. pwede brainliest : (please very soon I offer the crown !!! + 10 points urgently !!!
Answer:
swdfghjkl;'[
Step-by-step explanation:
asdfghjkl;'iy7u6j54hy3feqdwsrtfyuiop;lkjhgf
Answer:
nbmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
2x2 =4 this is 4 or 3 ??????????
Answer:
4 is the right answer2 × 2 = 42 × 1 = 2 2 × 2 = 42 × 3 = 6 2 × 4 = 82 × 5 = 102 × 6 = 122 × 7 = 142 × 8 = 162 × 9 = 182 × 10 = 20Why is 2+2=4 and 2x2=4? Originally Answered: why does 2*2=4 and 2+2=4? The truth is that a number multiplied by itself does not have to be equal to the same number added to itself. We can prove 2x2=4 easily. We have 2 groups of 2s.Answer:
4 is the right answer......Silvia wants to mix a 20% apple juice drink with pure apple juice to make 4 L of a juice drink that is 80% apple juice. How much pure apple juice should she use?
95141 1404 393
Answer:
3 liters
Step-by-step explanation:
There's a simple and effective "visual" way to solve mixture problems that makes short work of this.
In the attached, the concentrations of the contributors are listed on the left. It can work well to put the largest contributor on top (though that is not strictly necessary). The target concentration is put in the middle between them, and the differences along the diagonals are computed.
The diagonal differences are reduced to lowest terms as a ratio in the right-hand column. These numbers can be compared to the problem statement to see how they relate.
In this case, the total is 4 L of juice, and the total of the ratio units is 4. Then the ratio units are the number of liters of the corresponding contributor:
3 L of 100% juice1 L of 20% juiceLine r and m are parallel. Find the value of y.
Answer:
y=8
Step-by-step explanation:
the angle that is equal to 10x-3 and the angle that is equal to 7x+45 are equal to each other because they are corresponding angles so we setup an equation which would be
10x-3=7x+45
step 1
add 3 to each side
-3+3 = they cancel out
45+3=48
now we have
10x=7x+48
step 2
subtract each side by 7x
7x-7x cancels out
10x-7x=3x
3x=48
step 3
divide each side by 3
3/3 cancels out
48/3=16
so x =16
now we plug it into to 10x+3
10x16=160 160-3= 157
so the angle that is equal to 157 and the one that is equal to 3-y are supplementary angles so they will add up to equal 180 so to solve y we setup the equation which would be
180=157+3y-1
step 1 combine like terms
157-1=156
180=156+3y
step 2 subtract each side by 156
156-156 cancels out
180-156=24
so now we have
24=3y
next we divide each side by 3
3/3 cancels out
24/3=8
y=8
hope this makes sense :D
Error Analysis! Answer both parts of the question.
Kaitlyn solved the equation 5y = 15 and found the answer to be y = 75.
(Problem down below in file)
Part A: In a complete sentence or two, explain what Kaitlyn's error was. What did she do wrong?
Part B: What is the correct answer? Show your work and/or explain your reasoning.
Answer:
Kaitlin's answer is wrong because she is supposed to by dividing. When trying to get rid of a number from a variable you have to divide the number by itself and whatever you do to one side you have to do to the other side
so you would do 5/5 - cancels out
15/5=3
y=3
Step-by-step explanation:
have a great day :D
Answer:
y = 3Explanation (Part A):
She was supposed to divide five both sides. However, she divided one side by five and multiplied five on the other side, which makes her answer incorrect. She got confused that if any side is divided by a number, the other side must be divided by that same number.Solution (Part B):
5y = 15=> 5y/5 = 15/5=> y = 3The correct answer must be 'y = 3'.
plz help
what is the range of the data set?
Answer:
C. 6
Step-by-step explanation:
The range of a data set is the smallest number subtracted from the biggest number. In this case 7 is the biggest number, and 1 is the smallest number. This gives us the equation 7 - 1 = range which gives us 6.
Can someone help me please
Answer:
I think it is a scalene acute because:
➡It has acute angles
➡Its angles are not equal ⬇
Scalene triangles do not have equal angles
Hope this helps, adn have a good day! ฅ^•ﻌ•^ฅ
What quantity of a 50% acid solution must be mixed with a 20% solution to produce 600 mL of a 45% solution?
Answer:
400 mL
Step-by-step explanation:
0.50x + 0.20(600-x) = 0.40*600
50x + 20*600 - 20x = 40*600
30x = 20*600
x = 20*20
x = 400 mL
plzz answer asap!!! 10 points
Answer:
x+(6x-15) = 90 degrees
for the whole angle measure is 90 degree and making smaller angles out of it , their sum should be 90 degrees
i need help with this
Answer:
12.5%
Step-by-step explanation:
Tell whether x and y show direct variation, inverse variation or - y/4 = 2x
9514 1404 393
Answer:
direct variation
Step-by-step explanation:
The given equation can be written in the direct variation form ...
y = kx
y = -8x . . . . rewrite of the given equation (multiply by -4)
This is an example of direct variation.
Which expression is equivalent to sqrt -108 - sqrt -3?
A) 5 sqrt 3i
B) 6 sqrt 3i
C) 7 sqrt 3i
D) 8 sqrt 3i
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0)
Answer:
a. m = -1, y-int = 0
b. m = 2/3, y-int = -5/3
c. m = -1/2, y-int = 2
Step-by-step explanation:
-Expand equations on both sides.
-Make 'y' the subject by collecting like terms and moving everything to the right, e.g. y = ...
-Slope is the number in front of x.
-Find y-intercept by letting x = 0 and solve the equation.
What is the y-intercept of the line given by the equation y = 5x - 21?
A. (0.5)
B. (0,21)
C. (0-5)
D. (0, -21)
What the geometric mean of 4 and 8
I don’t understand this. Please help me.
Answer:
A
Step-by-step explanation:
To check for similarity, check for the scale factor. We can see angle X and angle U are both 32°. If the triangles were similar side RS to side UV and side RT to side UW should give the same scale factor. 10:12 = 5:6 and 15:18 = 5:6. Therefore the two triangles are similar. When naming similar triangles make sure you start from the same point, so triangle RST is similar to triangle UVW.
6x+12 in its simplest form?
Answer:
It is already in simplest form.
Step-by-step explanation:
Answer:
Already in simplest form
Step-by-step explanation:
I mean you could do 6(x+2) but its already in its simplest form.