Answer:
The width of the TV screen is 56 inches.
Step-by-step explanation:
We can find the width of the TV screen by using Pitagoras:
[tex] D^{2} = H^{2} + W^{2} [/tex]
Where:
D: is the diagonal = 65 in
H: is the height = 33 in
W: is the width =?
Then, the width is:
[tex] W = \sqrt{D^{2} - H^{2}} = \sqrt{(65 in)^{2} - (33 in)^{2}} = 56 in [/tex]
Therefore, the width of the TV screen is 56 inches.
I hope it helps you!
Answer:
56in
Step-by-step explanation:
How many tons are equal to 48,000 pounds?
4 tons
24 tons
240 tons
2,400 tons
Answer:
24 tons
Step-by-step explanation:
Have a great day!!
The Answer is 24
Hope this helps<3
Suppose you are hired by the STAR Lab to analyze vehicle arrivals at the right lane of the Evergreen Point Bridge on Westbound SR-520 for the period from 12:00am to 4:00am in a weekday. It is known that vehicle arrivals follow a Poisson process at this location and time period. There is a single-loop detector embedded on this lane at the east end of the bridge. Since you do not want to go to the bridge to count vehicles at this time period, you decided to use the loop detector data for the analysis. Of the 720 20-second intervals (the loop detection system stores data every 20 seconds), 508 intervals were identified to have at least one vehicle detected. Assume the loop detector is free of error. Please estimate the vehicle arrival rate (vehicles per second) for this lane. With the estimated arrival rate, please calculate the probability of having three or more vehicles detected in a 20-second interval and the probability of having a headway shorter than 10 seconds. [15 points]
Answer:
0.126
Step-by-step explanation:
Given :
Total time interval = 720
Number of interval in which one vehicle is detected =508
Proportion of atleast one detected vehicle :
508 / 720 = 0.7056
The mean arrival rate per second :
P(x ≥ 3) = 1 - P(x ≤ 3)
P(x ≥ 3) =1 - [p(x =0) + p(x = 1) + p(x =2) + p(x = 3)]
P(x ≥ 3) = 1 - 0.8745
P(x ≥ 3) = 0.1255
P(x ≥ 3) = 0.126
A student is saving money to buy a video game. The student currently has $20 and plans to save $10 every month. Write a function that represents the
amount y (in dollars) of money that the student saves after x months
Answer:
y = amount saved in dollars
x = months
Since the student already has $20 dollars saved (20) and plans to save $10 per month (10x), the equation so far is y = 20 + 10x.
You can use this to solve questions based of the equation/situation by filling in any numbers you are given where the variables are.
Hope this helps! :)
Step-by-step explanation:
y = amount saved in dollars
x = months
y = 20 + 10x
Ans: y = 20 + 10x
last one for todayy lolz
Answer:
A
Step-by-step explanation:
A, to reflect in the y axis we take the negative x value and keep the y the same.
if my answer helps please mark as brainliest.
The slope through (3, 5) and (1. y) is 3. Find y.
Really need this answer!
Step-by-step explanation:
y2 - y1 / x2 - x1
2 = 5 - y / (3 - 1)
4 = 5 - y
y = 1
So the line with slope 2 passes through the points (1,1) and (3,5).
Hope this helps!
guys u realy need help on this pls
Answer:
x>9
Step-by-step explanation:
[tex]7-\frac{2}{3} x[/tex]<x-8
21-2x<3x-24
5x>45
x>9
5th grade math. Correct answer will be marked brainliest.
Answer:
1. 44.3
2. 4.43
3. 0.443
Step-by-step explanation:
Answer:
the 2nt one is also 4.43, and the third one is 2.215 i think
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!! Which expression is equivalent to the expression m divided by n, where m and n are integers and n≠0
A) −m/n
B) m/−n
C) −m/−n
D) −(−m/−n)
Two drawings are given below. Drawing 2 is a scale drawing and Drawings 1 is an original drawing.
The length of the bottom side of Drawing 2 is ______ cm. please help
In a test for ESP (extrasensory perception), a subject is told that cards the experimenter can see but the subject cannot contain a star, a circle, a wave, a triangle or a square. As the experimenter looks at each card in turn, the subject names the shape on the card. A subject who is just guessing has a one in four chance of guessing correctly on each card.
A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?
B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?
C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?
Answer:
a) [tex]n = 20[/tex] and [tex]p = 0.25[/tex]
b) The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.
c) 0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
A. The count of correct guesses in 20 cards has a binomial distribution. What are n and p?
20 cards mean that [tex]n = 20[/tex]
A subject who is just guessing has a one in four chance of guessing correctly on each card, which means that [tex]p = \frac{1}{4} = 0.25[/tex]
B. What is the mean number of correct guesses in 20 cards for subjects who are just guessing?
Expected value, so
[tex]E(X) = np = 20*0.25 = 5[/tex]
The mean number of correct guesses in 20 cards for subjects who are just guessing is 5.
C. What is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{20,5}.(0.25)^{5}.(0.75)^{15} = 0.2023[/tex]
0.2023 = 20.23% probability of exactly 5 correct guesses in 20 cards if a subject is just guessing
A fitness club charges its members a one-time fee of $40 and a monthly rate of $25. Let m represent the number of months. Write an expression for the total amount paid after m months. Then find how much a customer will have paid after 5 months. 6.EE 2, 6.EE 2a, 6.EE.6 Expression: Cost:
Answer:
40 + 25m
40 + 25(5) = $165 after 5 months
Step-by-step explanation:
40 + 25m
40 + 25(5) = $165
88% of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 72% have an emergency locator, whereas 86% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared.
A) If it has an emergency locator, what is the probability that it will not be discovered?B) If it does not have an emergency locator, what is the probability that it will be discovered?C) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what isthe probability that 7 of them are discovered?
Answer:
a) [tex]P(D'/L)=0.03[/tex]
b) [tex]P(D/L')=0.7[/tex]
Step-by-step explanation:
From the question we are told that
Probability of discovered [tex]P(D)=0.88[/tex]
Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]
Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]
Generally the probability that aircraft are not discovered is mathematically given as
[tex]P(D')=1-0.88[/tex]
[tex]P(D')=0.12[/tex]
Generally the probability that aircraft with locator are discovered is mathematically given as
[tex]P(L'/D)=1-0.72[/tex]
[tex]P(L'/D)=0.28[/tex]
Generally the Probability of lost aircraft without locator mathematically given as
[tex]P(L/D')=1-0.86[/tex]
[tex]P(L/D')=0.14[/tex]
Generally the Probability of having a locator mathematically given as
[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]
[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]
[tex]P(L)=0.6504[/tex]
a)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]
[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]
[tex]P(D'/L)=0.0258302583[/tex]
[tex]P(D'/L)=0.03[/tex]
b)Generally the Probability of getting lost even with locator mathematically given as
[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]
[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]
[tex]P(D/L')=0.704805492[/tex]
[tex]P(D/L')=0.7[/tex]
A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag?
1 pound = 16 ounces
Answer:
80 Ounces!
80 ounces is equivalent to 5 pounds of flour.
In a cheese factory, 4.5-kg blocks of cheese are cut manually. For a large number of blocks, the standard deviation of the cutting process is measured and found to be 0.10 kg. The measurement was done with a scale with an accuracy of 1.5% of the full scale of 12 kg. Calculate the total uncertainty of the weight of the blocks of cheese at a 95 % confidence level.
Answer:
0.2690 kg
Step-by-step explanation:
Given that:
For cutting a 4.5 kg block of cheese; the standard deviation:
[tex]S_x = 0.1 \ kg[/tex]
For a large no of blocks, at 95% confidence level;
Using the t table; where the degree of freedom is infinity or > 30
t-distribution (t) = 2
∴
[tex]P_x = tS_x[/tex]
[tex]P_x = 2 \times 0.1[/tex]
[tex]P_x = 0.2 \ kg[/tex]
The system uncertainty as a result of the accuracy [tex]B_x[/tex] is:
[tex]B_x = 1.5\% \ of \ reading[/tex]
[tex]B_x = (\dfrac{1.5}{100})(12 kg)[/tex]
[tex]B_x = 0.18 \ kg[/tex]
The total uncertainty for a single experiment with a 95% confidence interval will be:
[tex]w_s = ( B_x^2 + P_x^2)^{\frac{1}{2}[/tex]
[tex]w_s = (0.18^2 + 0.2^2)^{\frac{1}{2}[/tex]
[tex]\mathbf{w_s = 0.2690 \ kg}[/tex]
F(x) = 3x^2 + 6x - 5
g(x) = 4x^3 – 5x^2 + 6
Find (f +g) (c)
9514 1404 393
Answer:
4c^3 -2c^2 +6c +1
Step-by-step explanation:
We can substitute c for x either before or after we combine the functions.
(f +g)(c) = f(c) +g(c)
(f +g)(c) = (3c^2 +6c -5) +(4c^3 -5c^2 +6)
(f +g)(c) = 4c^3 +c^2(3-5) +6c +(-5+6) . . . . group like terms
(f +g)(c) = 4c^3 -2c^2 +6c +1
un juego de 4 dados tiene una valor de 1500 pesos ¿cual es el valor de cada dado si todos cuestan lo mismo
Answer: 375
Step-by-step explanation: 1500 % 4 = 375
PD: que caros dados!
11a + 22 + 17a - 6 S I M P L I F I E D
Answer:
28a +16
Step-by-step explanation:
11a + 22 + 17a - 6
28a +16
Answer:
28a + 16
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables, as well as same amount of that variable.
In this case:
11a + 17a + 22 - 6
(11a + 17a) + (22 - 6)
28a + 16
28a + 16 is your answer.
~
Solve the system of equations:
y=5x+3
2x+6y=50
Determine whether the ratios 1:2 and 3:4 are equivalent
Answer:
They are not equivalent
Step-by-step explanation:
1:2 is the same as 2:4
2:4 does not equal 3:4
Help please! This is due tomorrow!
a + b = 0
which of these is equal to b?
Answer:
b is equal to negative a and a is also equal to negative b
Step-by-step explanation:
What value does the 7 represents in the number 94.087?
0.007, also known as the thousandths place in decimals.
0.345 times 83.8 I forgot how to do it .w.
Answer:
28.911
Step-by-step explanation:
you just have to open up a calculator lol
Corey invested $800 in a CD at a simple interest rate. After 24 months, his account was worth $1000.
How much interest did he earn?
What was his interest rate?
Answer:
made 25%
Step-by-step explanation:
Jordan has test scores of 70,70,79, 85 and 96. What is the median score?
Answer:
They are already in order
70, 70, 79, 85, 96
the middle one is 79, meaning 79 is the median.
Step-by-step explanation:
Help me please, 1. And 2.
Answer:
Step-by-step explanation:YOU HAVE TO SHOW ME THE WHOLE THING SO THAT I CAN ANSWER IT DUH
What is the fraction equivalent of 2.151515?
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
Answer:
the second option
Step-by-step explanation:
An expression is given in the box.
90 + (3d)
What is the value of the expression if c = 4 and d = 6?
O2
04
36
O 72
Answer:
the question is 9c/3d where c=4 and d=6
9*4/3*6=2
2. Which expression is equivalent to 5-(-8)?
A (-5) + 8 B 8+5
C 8-5
D 5-8
