Answer:
14/25
Step-by-step explanation:
The probability that the sum of the number digits is odd is 13/ 25.
What is probability?Probability is the possibility of the outcome of any random event.
We have,
Set A = 10, 17, 20, 23, 24, 28, 32, 39, 42, 45, 46, 52, 55, 58, 61, 65, 66, 72, 75, 78, 79, 85, 94, 97, 98
We have to see the number whose sum is odd.
10 = 1 + 0 = 1 (odd)
17 = 1 + 7 = 8 (even)
20 = 2 + 0 = 2 (even)
23 = 2 + 3 = 5 (odd)
24 = 2 + 4 = 6 (even)
28 = 2 + 8 = 10 (even)
32 = 3 + 2 = 5 (odd)
39 = 3 + 9 = 12 (even)
42 = 4 + 2 = 6 (even)
45 = 4 + 5 = 9 (odd)
46 = 4 + 6 = 10 (even)
52 = 5 + 2 = 7 (odd)
55 = 5 + 5 = 10 (even)
58 = 5 + 8 = 13 (odd)
61 = 6 + 1 = 7 (odd)
65 = 6 + 5 = 11 ( odd)
66 = 6 + 6 = 12 (even)
72 = 7 + 2 = 9 (odd)
75 = 7 + 5 = 12 (even)
78 = 7 + 8 = 15 (odd)
79 = 7 + 9 = 16 (even)
85 = 8 + 5 = 13 (odd)
94 = 9 + 4 = 13 (odd)
97 = 9 + 7 = 16 (even)
98 = 9 + 8 = 17 (odd)
We see that there are 13 numbers whose sum is odd.
The probability that the sum of the number digits is odd:
= 13 / 25
Thus the probability that the sum of the number digits is odd is 13/ 25.
Learn more about probability here:
https://brainly.com/question/11034287
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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:
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 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
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
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
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:
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:
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
I want the answer only.
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
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]
What is the fraction equivalent of 2.151515?
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
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
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!
Ratios Pic added Help plz
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)
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!
What value does the 7 represents in the number 94.087?
0.007, also known as the thousandths place in decimals.
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.
~
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
The product of 8 and x is great than 50.
Answer:
The product of 8 and 7 is greater than 50
Answer:
8x > 50
Step-by-step explanation:
the question says "Find the value of the triangle shown below"
Answer:
a
Step-by-step explanation:
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
[tex]a^{2} +c^{2}=b^{2}[/tex]
which becomes 81=49+b giving you the number 32 which doesn't have a perfect square meaning the answer would be b=[tex]\sqrt{32}[/tex]
Solve the system of equations:
y=5x+3
2x+6y=50
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:
Match the labeled points on the graph to statements about their coordinates Two numbers with a sum of 2
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
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
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
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.
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
Help please! This is due tomorrow!
Pls answer whoever answer right first will g Brainlyiest
Answer:
D the last one
Step-by-step explanation:
