Please help me with this equation below.
Answer:
a) We have an aspect ratio of 4:3
This means that the width of the screen, W, is about 4/3 times the height of the screen, H.
Then we have the equation:
W = (4/3)*H
And the diagonal of a rectangle with width W and height H is:
D = √(W^2 + H^2)
Then if we have a 15 in TV, then we have D = 15 in.
Then we have:
15 in = √(W^2 + H^2)
Now we can use the relation W = (4/3)*H and replace this in the above equation:
15 in = √(((4/3)*H)^2 + H^2)
Now we can solve this for H:
15in = √( (16/9)*H^2 + H^2)
(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2
(9/25)*(15in)^2 = H^2
√( (9/25)*(15in)^2) = H
(3/5)*(15in) = H = 9 in
The height is 9 inches, and the width will be:
W = (4/3)*9in = 12in.
Now let's do the same for a 42 in tv.
We can use the same equation than before, this time we get:
42 in = √(((4/3)*H)^2 + H^2)
We can do the exact same procedure as before, and we will get:
(3/5)*(42in) = H = 25.2 in
Then the width is
W = (4/3)*H = (4/3)*25.2in = 33.6 in
b) Now we do the same, but now we have the relation:
W = (16/9)*H
Then if D is the diagonal, we have the equation:
D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)
This time we can simplify it for any general D.
D^2 = (16/9)^2*H^2 + H^2
D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2
D^2 = (337/81)*H^2
(81/337)*D^2 = H^2
√( (81/337)*D^2) = H
(9/18.36)*D = H
Then if we have a 42 in TV, the height is:
(9/18.36)*42in = H = 20.59 in
And the width will be:
W = (16/9)*H = (16/9)*20.59in = 36.60 in
If we have a 60 in TV, we get:
(9/18.36)*60in = H = 29.41 in
And the width will be:
W = (16/9)*H = (16/9)*29.41in = 52.29 in
c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.
Angle is comparing the price of each shirts for summer camp at two companies.. Company A charges an initial fee of $50 and $12 per shirt Company B charges and initial fee of $10 and $15 per shirt. Evaluate the expressions 50 + 12x and 10 +15x =40 to find the total cost to print 40 shirts at each company. What is the difference in cost between the companies
Answer:
Company A's cost would be $530
Company B's cost would be $610
difference is $80
Step-by-step explanation:
Concept Bank a) central tendency d) event g) population j) random experiment m) sample mean p) sample space b) continuous random variable e) measures of spread h) probability k) range n) sample median q) standard deviation c) discrete random variable f) outlier i) variability l) sample o) sample mode r) statistical inference ____ The practically infinite number of possible values that a random variable can take on in an experiment ____ The process of observing the outcome of a random chance event ____ The number that quantifies the likelihood that a certain random event will happen ____ All possible outcomes that can result from a random experiment ____ This exist when successive observations of a particular system vari
Answer:
Continuous random variable - The practically infinite number of possible values that a random variable can take on in an experiment
Random experiment - The process of observing the outcome of a random chance event
Probability - The number that quantifies the likelihood that a certain random event will happen
Sample space - All possible outcomes that can result from a random experiment
Variability - This exist when successive observations of a particular system variable or phenomenon do not produce the exact same result.
Statistical inference - The use of information from a sample to draw conclusions about the population
Sample mean - The most commonly used measure of central tendency of a distribution of data
Event - A subset of the sample space
Standard deviation - A measure of the extent to which the values in the data set differ from the mean
Outlier - An observation point that is distant from other observation.
the area of a rectangle is 18cm square. what coul it dimension be?
P=a*b
a=P/b
a=18/b
Pairs of the solution (only integer numbers):
b=9, a=2
b=2, a=9
b=6, a=3
b=3, a=6
b=18, a=1
b=1, a=18
Evaluate the expression.
−
2.2
⋅
(
−
2
)
÷
(
−
1
4
)
⋅
5
−2.2⋅(−2)÷(−
4
1
)⋅5
um is this all one equation?
like -2.2×(-2)÷(-14)×5-2.2×(-2)÷(-41)×5?
1. lara but a dress that originally cost 575 with 20% discount how much did lara pay for the dress
2. a salesman sells a car for 860,000 if you receives a commission of 15% how much will be his commission
Answer:
( $ 120 )
Step-by-step explanation:
cause
p they original price given
p - 2p = 96
8 p = 96
p = 120
sana makatulong carry on
if (2x+3):(3x+2)=5:7,find the value of x
Answer:
Given: The mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2
Mean = 4(x+2)+(2x+3)+(3x+4)+(4x+5)
⇒x+2=410x+14
⇒4x+8=10x+14
⇒6x=−6
⇒x=−1
The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. What is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?
Answer:
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
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].
In a random sample of 500 employees, 15 reported owning an electric car.
This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
You can find the standard mean error and then use that to find the confidence interval limits.
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
How to find the confidence interval for proportions?Let the sample size be n
Let the interested quantities in the sample be present x times
Let the confidence level be of p%.
Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]
The standard mean error is calculated by:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]
Then the confidence interval limits can be found by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]
Using above formula for finding the confidence intervalWe have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]
Finding the standard mean error:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]
From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758
Thus, the confidence interval is obtained by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]
Lower limit = 0.0104
Upper limit = 0.0496
Thus,
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
Learn more about confidence interval here:
https://brainly.com/question/16427118
Each package contains four boxes .each box contains a 7 pound bag of beans and a bag of rice. the bags of rice are all identical
Answer:
28
Step-by-step explanation:
if you asking for how much it weighs then this is the answer
The ages of the 11 players of a soccer team on the soccer field are shown.
21, 32, 22, 28, 26, 30, 29, 24, 22, 24, 26
What would cause the median age of the players on the field to decrease?
A. replace a 24-year-old player with a 22-year-old player
B. replace a 26-year-old player with a 24-year-old player
C. replace the 21-year-old player with a 20-year-old player
D. replace the 30-year-old player with a 26-year-old player
Answer:
A
Step-by-step explanation:
Problem: A federal agency is deciding which of two waste dump projects to investigate. A top administrator estimates that the probability of federal law violations is 0.30 at the first project and 0.25 at the second project. Also, he believes the occurrences of violations in these two projects are mutually exclusive (that is, the events are disjoint).
a). find the probability of federal law violations in the first project or the second project.
b). given that there is not a federal law violation in the first project, find the probability that there is a federal law violation in the second project.
c). In reality, the administrator confused mutually exclusive and independent, and the events are actually independent. Answer (a) and (b) with this correct information.
Answer:
Following are the solution to the given points:
Step-by-step explanation:
For point (a) :
In this, two points are exclusive to one another, it is a probability that first or the second project will have breaches,
[tex]\to P = P(A) + P(B)[/tex]
[tex]= 0.3 + 0.25\\\\= 0.55[/tex]
Since the p(A & B)=0 is mutually exclusive.
For point (b):
[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]
[tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]
For point (c):
if both a and b are independent:
(a):
[tex]P = P(A) + P(B) - P(A)\times P(B) \\\\[/tex]
[tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]
(b):
[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]
[tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]
Samuel brought a new bile for $350. Each year the value of the bike decreases by 12%. Find the value of the bike at the end of 5 years?
Answer:
$140
Step-by-step explanation:
1. ¿Con cuál de las siguientes opciones se
obtiene la siguiente cantidad: $ 18.90?
a) 1 moneda de $ 10, 2 monedas de $ 1,
10 monedas de 50 y 1 moneda de
20
b) 3 monedas de $5, 5 monedas de 50 €
y 2 monedas de 20 €.
c) 1 monedas de $ 10, 5 monedas de 50
¢ y 2 monedas de 20 ¢.
d) 3 monedas de $5, 7 monedas de 50 ¢
y 2 monedas de 20 ¢.
Answer:
gkcmh .dfjdjhdjkjihndbdndndfp
Which of the following equals sin A?
Ignore my answer.
Answer:
You are correct it is A. cos B
Step-by-step explanation:
simplify (-4/5)^9/(-4/5)^10
Answer:
so (-4/5)^9/(-4/5)^10=−1,25
If a point is equal distance from the 2 sides of an angle it is
A. on the perpendicular bisector
B. on the angle bisector
C the vertex of the angle
D on one side of the angle
Step-by-step explanation:
option A is the correct answer according to me .
plz mark my answer as brainlist if you find it useful.
Answer:
The answer is B
how do i solve this problem 1/15+1/6
Answer:
7/30
Step-by-step explanation:
1/6 = 1x5/6x5
= 5/30
1/15= = 1x2/1x15
=2/30
2/30 + 5/30 = 7/30
3x+4x+5x= need help asap
Answer:
12x
Step-by-step explanation:
3 + 4 + 5 = 12
Answer:
12x
Step-by-step explanation:
we add all of them and we get 12x
Find the perimeter of a square with side lengths of 3x + 1. Use the distributive property to write an expression.
What is 2/3 divided by 5
Answer: Hey here’s your answer: 2/3 divided by 5=2/15
Hth
Step-by-step explanation:
Answer:
2/15 is ur answer
Step-by-step explanation:
2/3 ÷ 5
2/3 x 1/5
2/15
-18 = –1(x – 11) solve this equation
Answer:
X= 29
Step-by-step explanation:
Answer:
x = 29
Step-by-step explanation:
Let's solve your equation step-by-step.
−18=−1(x−11)
Step 1: Simplify both sides of the equation.
−18=−1(x−11)
−18=(−1)(x)+(−1)(−11)(Distribute)
−18=−x+11
Step 2: Flip the equation.
−x+11=−18
Step 3: Subtract 11 from both sides.
−x+11−11=−18−11
−x=−29
Step 4: Divide both sides by -1.
-x/1 = -29/-1
hope this helped:')
what is the number 10^2×10^5 in ordinary language
I'm guessing ordinary language means not in scientific method and in words. So...
First we combine the exponent because they are multiplied with the same base getting...
10^2+5=10^7
Now we can convert this into everyday numbers...
10,000,000
Or...
10 million
Since I do not know what ordinary language means to your teacher, just choose the answer that is the one your teacher wants! If you have any more questions about this just ask in the comments.
1. Given A = {1,2,3,4}, B ={1,2,4,5), C={3,4,6}, D= {7,8}. U={1,2,3,4,5,6,7,8,9}
What is A UB? Bn C? CD? A'? (A U B)
Answer:
Step-by-step explanation:
A∪B = {1,2,3,4,5}
B∩C = {4}
I don't know what CD means.
A' = {5,6,7,8,9}
Suppose you log on to an online chess website and are randomly assigned a match against an opponent.
Suppose at any time on the site, 30% of opponents are rated ovice", 55% are rated mid", and 15% are
rated high". In a chess match, a player can either win, lose, or draw. Suppose that you win 75% and
draw 10% of matches against novice rated opponents, you win 50% and draw 20% of matches against
mid rated opponents, and you win 10% and draw 25% of matches against high rated opponents.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and
lose?
(b) For a randomly assigned match, what is the probability that you win?
(c) You play a match and win. What is the probability that you played a high rated opponent?
Answer:
a) 0.1125 = 11.25% probability that you play someone ranked high and lose.
b) 0.5435 = 54.35% probability that you win
c) 0.0690 = 6.90% probability that you played a high rated opponent
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and lose?
15% probability that you play someone that is ranked high.
If you play someone ranked high, 100 - 25 = 75% probability you lose
0.15*0.75 = 0.1125
0.1125 = 11.25% probability that you play someone ranked high and lose.
(b) For a randomly assigned match, what is the probability that you win?
75% of 30%(novice oponent)
50% of 55%(mid oponent)
25% of 15%(high opponent). So
[tex]p = 0.77*0.3 + 0.5*0.55 + 0.25*0.15 = 0.5435[/tex]
0.5435 = 54.35% probability that you win
(c) You play a match and win. What is the probability that you played a high rated opponent?
Here, we use the conditional probability formula.
Event A: Winning
Event B: Playing a high opponent.
0.5435 = 54.35% probability that you win
This means that [tex]P(A) = 0.5435[/tex]
Intersection of events A and B:
25% of 15%(high opponent). So
[tex]P(A \cap B) = 0.25*0.15 = 0.0375[/tex]
Question:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.5435} = 0.0690[/tex]
0.0690 = 6.90% probability that you played a high rated opponent
3y-4=6-2y
How do I solve this
Answer:
solve the 3y and 2y first
Step-by-step explanation:
Answer:
y = 2.
Step-by-step explanation:
We need to have y terms on one side of the equation and numbers on the other side:-
3y - 4 = 6 - 2y
Add 2y to both sides:
3y + 2y - 4 = 6 - 2y + 2y
5y - 4 = 6
Add 4 to both sides:
5y - 4 + 4 = 6 + 4
5y = 10
y = 10/5
y = 2.
Complete the missing parts of the table for the following function. y = 6 x -2 -1 0 1 0 1 2 3 1 y [ ] 6 36 36 1?
Answer:
Under -1 it will be 1/6
Under zero it would be 1
under 3 it would be 216
Explanation:
y = 6 to the power of x
what is the answer to 20×5=
Which of the following shows the equation after both sides have been distributed
-4(x - 2) = 5(3x – 8)
A. 4x-8=15x-40
B. 4x-6=15x-3
C. 4x+8=15x-40
D. 4x+8=15x+40
what is the rate of markup applied for a cellphone sold for 15,000 with an original price 13,000?
need help po
MATH
Answer:
2000 profit
Step-by-step explanation:
15000 - 13000 is 200 I may be wrong I didn't understand the question
234.2 in expanded form
Answer:
Expanded Notation Form:
234.2
=
200
+
30
+
4
+
0.2
Expanded Factors Form:
234.2
=
2 ×
100
+
3 ×
10
+
4 ×
1
+
2 ×
0.1
Expanded Exponential Form:
234.2 =
2 × 102
+
3 × 101
+
4 × 100
+
2 × 10-1
Word Form:
234.2 =
two hundred thirty-four and two tenths