Answers
Answer:
[tex]V=343\,\,cm^3[/tex]
Step-by-step explanation:
Recall that fractional exponents are other form of representing roots.
In our case, the formula for the volume of the cube in terms of area of a face, is also written as:
[tex]V=A^\frac{3}{2} =(\sqrt{A} )^3[/tex]
which for the case of a cube with face area of 49 cm^2 becomes:
[tex]V=(\sqrt{49} )^3=7^3=343\,\,cm^3[/tex]
Related Questions
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?
Answers
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
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
Answers
Explanation:
Find scale factor:
Scale factor = small length/larger length
Scale factor = 5.3/13
Find the bottom side of drawing 2:
19.5 x 5.3/13 = 7.95
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]
Answers
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
What is the fraction equivalent of 2.151515?
Answers
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
Ratios Pic added Help plz
Answers
Answer:
24:16
skittles : M&Ms
Step-by-step explanation:
Answer:
3:2
Step-by-step explanation:
Well, the total number of pieces of candy is 40. 24 of them are skittles so the remaining 16 would be M&M's. You would write the ratio of skittles to M&M's as 24:16 and then we need to simplify and so the simplified answer is 3:2. (Haven't done these in a while so it might be wrong)
a + b = 0
which of these is equal to b?
Answers
Answer:
b is equal to negative a and a is also equal to negative b
Step-by-step explanation:
I want the answer only.
Answers
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
Answers
Answer:
the question is 9c/3d where c=4 and d=6
9*4/3*6=2
The slope through (3, 5) and (1. y) is 3. Find y.
Really need this answer!
Answers
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!
5th grade math. Correct answer will be marked brainliest.
Answers
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:
last one for todayy lolz
Answers
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.
What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
Answers
Answer:
the second option
Step-by-step explanation:
Match the labeled points on the graph to statements about their coordinates Two numbers with a sum of 2
Answers
Answer:
see explanation!
Step-by-step explanation:
Line N
A set of points where the coordinates of each point have a sum of 2Line M
A set of points where the y-coordinates of each point is 10 less than its x-coordinate
Any coordinate on N has a sum of 2.
Any coordinate on M has a y that is 10 less than the x.
The matching of the given labeled points provided on the graph regarding their statements would be as follows:
Line n - A set of points where the coordinates of each point have a sum of 2 Line m - A set of points where the y-coordinate of each point is 10 less than the x-coordinate.The points that line m represent would be:
Point E [tex](13, 3)[/tex]
Point B [tex](6, -4)[/tex]
Point D [tex](2, -8)[/tex]
The points signalled by line n are as follows:
Point A [tex](-2, 4)[/tex]
Point B [tex](6, -4)[/tex]
Point C [tex](12, -10)[/tex]
Now, if we solve for lines
Line m
[tex]x_{1} + y_{1} \\= 13 + 3\\= 16[/tex]
While for Line n
Point A
[tex](x_{1} + y_{1}) = (-2 + 4) \\= 2[/tex]
Point B
[tex]x_{2} + y_{2} = 6 + (-4) \\= 2[/tex]
Thus, the correct match would be as above.
Learn more about "Coordinates" here:
brainly.com/question/16634867
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
Answers
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
un juego de 4 dados tiene una valor de 1500 pesos ¿cual es el valor de cada dado si todos cuestan lo mismo
Answers
Answer: 375
Step-by-step explanation: 1500 % 4 = 375
PD: que caros dados!
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.
Answers
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]
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:
Answers
Answer:
40 + 25m
40 + 25(5) = $165 after 5 months
Step-by-step explanation:
40 + 25m
40 + 25(5) = $165
0.345 times 83.8 I forgot how to do it .w.
Answers
Answer:
28.911
Step-by-step explanation:
you just have to open up a calculator lol
What value does the 7 represents in the number 94.087?
Answers
0.007, also known as the thousandths place in decimals.
Determine whether the ratios 1:2 and 3:4 are equivalent
Answers
Answer:
They are not equivalent
Step-by-step explanation:
1:2 is the same as 2:4
2:4 does not equal 3:4
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?
Answers
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]
How many tons are equal to 48,000 pounds?
4 tons
24 tons
240 tons
2,400 tons
Answers
Answer:
24 tons
Step-by-step explanation:
Have a great day!!
The Answer is 24
Hope this helps<3
Jordan has test scores of 70,70,79, 85 and 96. What is the median score?
Answers
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:
Solve the system of equations:
y=5x+3
2x+6y=50
Answers
F(x) = 3x^2 + 6x - 5
g(x) = 4x^3 – 5x^2 + 6
Find (f +g) (c)
Answers
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
Help me please, 1. And 2.
Answers
Answer:
Step-by-step explanation:YOU HAVE TO SHOW ME THE WHOLE THING SO THAT I CAN ANSWER IT DUH
11a + 22 + 17a - 6 S I M P L I F I E D
Answers
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.
~
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
Answers
Answer:
80 Ounces!
80 ounces is equivalent to 5 pounds of flour.
The product of 8 and x is great than 50.
Answers
Answer:
The product of 8 and 7 is greater than 50
Answer:
8x > 50
Step-by-step explanation:
Help please! This is due tomorrow!
