Answer:
The required probability = 0.7143
Step-by-step explanation:
From the information given:
From a group of eight candidates
The no. of candidates that enrolled in internships = 5
The no. of candidates that enrolled in teaching = 3
Also, supposed all the eight candidates are equally qualified;
Then, Let assume that:
Y to represent the number of internship trainee candidates hired.
N to represent no. of candidates in a group = 8
r to represent those who enrolled in paid internship = 5
Now, N - r = 3 (for those who enrolled in traditional teaching program)
Suppose; n represent the positions for local teaching which is given as 3;
Then; selecting 3 from 8 whereby some enrolled in internships and some in traditional teaching programs;
Then, let assume Y is a random variable that follows a hypergeometric distribution; we have:
[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^r_y \bigg)\bigg (^{N-r}_{n-y} \bigg) }{ \bigg ( ^N_n \bigg) } } _\atop { ^{0, otherwise} } } \right.[/tex]
[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^5_y \bigg)\bigg (^{3}_{3-y} \bigg) }{ \bigg ( ^8_3 \bigg) } } } } \right, y= 0,1,2,3[/tex]
Thus, the probability that two or more internship trained candidates are hired can be computed as:
p(Y ≥ 2) = p(Y=2) + p(Y =3)
[tex]p(Y \geq 2) = \dfrac{ \bigg ( ^5_2\bigg) \bigg ( ^3_1 \bigg)}{\bigg (^8_3 \bigg)} + \dfrac{\bigg (^5_3 \bigg) \bigg (^3_0 \bigg)}{\bigg ( ^8_3\bigg)}[/tex]
[tex]p(Y \geq 2) = \dfrac{40}{56}[/tex]
[tex]\mathbf{p(Y \geq 2) = 0.7143}[/tex]
what is 1 2/3 + 5/7
Answer:
50/21 or 2 8/21
Step-by-step explanation:
8x2+4x−3 is divided by 2x−1
I hope it is helpful for you
Answer:
the answer is 1
Step-by-step explanation: i took the test on k12 hope this helps
2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 1
21 3
35 5
(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.
Answer:
Equation: y = ⅐x
Rate of change: ⅐
Distance = 10 miles
Step-by-step explanation:
Given
The information in the above table
Solving (a): The equation
To get the equation, we need to first calculate the slope (m)
Take any two corresponding values of x and y
(x1,y1) = (7,1)
(x2,y2) = (21,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(21 - 7)
m = 2/14
m = ⅐
The equation is calculated using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 1 = ⅐(x - 7)
y - 1 = ⅐x - 1
Add 1 to both sides
y = ⅐x
Solving (b) Rate of change:
The calculated slope in (a) above represents the rate of change.
So:
Rate of change = Slope = ⅐
Solving (c): Distance when time is 70 minutes
This implies that x = 70
Substitute 70 for x in y = ⅐x
y = ⅐ * 70
y = 10 miles
There are ten toppings available to make an ice
cream sundae. How many ways can Max choose
two?
Answer:
There will be 56 possible combinations if he is allowed to choose the same topping twice.
There will be 47 if he is not allowed to choose the same topping twice.
Step-by-step explanation:
Number of ways max choose two are 45
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of both the selection is irrelevant. You can choose the components of combos in any order;
Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the configurations ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement);
Given;
Toppings available to make an ice cream sundae = 10
The number of ways can Max choose 2;
= 10C2
=10! / [(10-2)! X 2!]
=45
Therefore, Max can choose toppings is 45 by combination
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Suppose that you draw one card from a well-shuffled deck of 52 playing cards. What is the probability that the card that you draw is a black 7 or a black 8
The probability that the card that you draw is a black 7 or a black 8 is 1/13
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
So, the probability that the card that you draw is a black 7 = 4/52
So, the probability that the card that you draw is a black 8 = 2/26
Therefore,
the probability that the card that you draw is a black 7 or a black 8 = 4/52 - 2/26 = 1/13
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Find the slope of each graph. Express the answer in simplest form.Can you please show me a graph you answer
Answer:
[tex]m=\frac{3}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-4, -2)
Point (0, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4+2}{0+4}[/tex]Add: [tex]m=\frac{6}{4}[/tex]Simplify: [tex]m=\frac{3}{2}[/tex]And we have our final answer!
a school newspaper pays $175 in set up fees and $2 per copy to print each issue What is the rate of change
Please help me:) i will give brainliest to the right answer<3
Answer:
It does
Step-by-step explanation:
It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.
Hope this Helps!!
For the function, find f (−2), f (−0.5), and f (3).
f(x) = −5x + 2
Answer:
2
Step-by-step explanation:
becaue i siad so
What is the slope in the Y intercept of the line on the graph below
slope= -4, Y intercept = 1
slope =-4, Y intercept = 4
slope = -1/4, Y intercept = 1
slope = -1/4, Y intercept = 4
Answer:
just by looking at the graph you can see that the y int is one, so that eliminates two answers already. Then the slope is rise over run. (best thing to remember in math. rise over run) so pick two points. (0, 1) and (4,0) were the first ones i saw. to get from those two points you go from (0,1) over 4 (thats your run) and from there down 1 (thats your rise) to get to (0,4). You would then do rise over run (and because your rise goes down its negative) to get -1/4 as your slope. The answer is slope= -1/4, Y intercept = 1
Answer:what he said is true
Step-by-step explanation:
hope this helps
ANSWER IT PLZ ITS DUE IN 5 MIN!11111
Answer:
y = -2x - 3
Step-by-step explanation:
2x + y = 3
y = -2x + 3
Parallel slope --> m = -2
y = mx + b
-5 = -2(1) + b
-5 = -2 + b
-3 = b
y = -2x - 3
Hope this helps!
Butter is packed in 250g packs. What will
the moss, in pounds of a pack of butter?
Answer:
loss=54-52.5
Step-by-step explanation:
=1.5Rs
loss%=loss/CP×100
=1.5/54×100
2.78%
PLZ MARK AS BRAINLIST
What is the value of x in 2x -6
Answer:
2x+110°=180°
2x=70°
X=35°
Can I also have brainliest
Mrs lane took a survey of the types of pants her students were wearing. She collected the data of the types of pants her students were wearing, what percent of her students were wearing shorts? 14 were wearing jeans, 9 were wearing shorts, and 2 were wearing capris
Answer:
36%
Step-by-step explanation:
14+9+2=25
and the questions wants to know how many were wearing shorts
soooooooooooooo
divide 9 by 25 and that is 0.36 which would be 36% out the 25 wearing shorts
You are a salesperson and your provability of selling items is 2 out of 20. (probability of success). if you have 4 potential customers, what is the probability that you are going to sell to exact 2 of these customers
Answer:
P(X = 2) = 0.0486
Step-by-step explanation:
We are told that probability of selling items is 2 out of 20.
Thus, probability of success is;
p = 2/20 = 0.1
you have 4 potential customers and you want to find the probability that you are going to sell to exact 2 of these customers.
This is a binomial probability distribution problem.
Thus;
n = 4 and x = 2.
So;
P(X = 2) = C(4, 2) × 0.1^(2) × (1 - 0.1)^(4 - 2)
P(X = 2) = 6 × 0.01 × 0.81
P(X = 2) = 0.0486
You invested 50,000 in a bank that pays 4.5% monthly simple interest, How much do you have after 2.5 years?
Answer:
I trhink you´ll have 117000
my explanation:
4.5 × 12=54%
54%=1 year
54% + 54%
108% + 27%
135% =67000
67000 + 50000
In the first round of a card game, niki scored 20 points. Then, she lost 10 points on one turn and a additional 25 points on her final turn. What’s niki’s final score?
Write in normal form 2.8 x 10⁶ ?
Answer
The answer is2600000
Whoever answers gets brainlist!
Answer:
The answer is 3 to the power of 2= 9
Step-by-step explanation:
Isabel tried to evaluate an expression step by step
Answer:
Step 2
Step-by-step explanation:
Answer:
step 2
Step-by-step explanation:
Prompt: A car is traveling down a highway at the constant speed, described by the equation “d=65t” , where “d” represents the distance, in miles, that the car travels at this speed in “t” hours.
Question 1:
1. What does 65 tell us in this situation?
a. The car travels 65 miles in 1 hour.
b. The constant of proportionality is 65 miles per hour.
c. The car traveled a total of 65 miles
d. The car is traveling 65 miles per hour.
—————————————————————
Question 2:
2. How many miles does the car travel in 1.5 hours?
The car travels □ miles in 1.5 hours.
—————————————————————
Question 3:
3. How long does it take the car to travel 26 miles at this speed?
“Type your response in the down below”
Please Help!
Answer:
1) d
2) 97.5 miles
3)I am unsure on
Step-by-step explanation:
1) d=65t means that it is moving 65 miles per that amount of time (in this case using mph)
2) you take your equation "d=65t" and fill in your time (1.5) 65(1.5)=97.5
3) I don't know but possibly 2.5 minutes? (65/25) but I'm not sure I'm sorry
7n + 5 =68.... how to solve this problem and show my work
Answer:
n = 9
Step-by-step explanation:
7n + 5 = 68
7n + 5 - 5 = 68 - 5
7n = 63
7n / 7 = 63 / 7
n = 9
4) Transforme, observando os exemplos:
180’ = 180’ : 60=3°
180”= 180” : 60 = 3’
⦁ 120’ em graus
⦁ 300’ em graus
⦁ 420’ em graus
⦁ 120” em minutos
Answer:
63
Step-by-step explanation:
fhj v
Work out 4/7 + 2 1/3
It's 61/21. That's the answer.
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
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In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted.
A. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
B. What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal place.
C. What is the probability percentage that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to tywo decimal places.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Given:
[tex]\ Mean = 0.54 \times 555 \\[/tex]
[tex]= 299.7[/tex]
[tex]SD = 11.74[/tex]
In point a:
[tex]\to Z = \frac{(338 - 299.7)}{11.74}[/tex]
[tex]= \frac{(38.3)}{11.74}\\\\= 3.26[/tex]
[tex]\to P = 0.000557\\\\\to \% = 0.06 \%[/tex]
In point b:
[tex]\to Z = \frac{(285 - 299.7)}{11.74}[/tex]
[tex]= \frac{(-14.7)}{11.74}\\\\= -1.25\\[/tex]
[tex]\to P = 0.8944\\\\\to \% = 89.44 \%[/tex]
In point c:
[tex]\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\[/tex]
[tex]= \frac{(-33.3)}{11.74}\\\\= -2.83[/tex]
[tex]\to P = 0.002256\\\\\to \% = 0.23 \%[/tex]
(1) Interpret the correlation r = 0.2. What all does it tell you about a bivariate data set? *
Answer:
a correlation of r = -0.2 suggest a weak, negative association. A correlation close to zero suggests no linear association between two continuous variables.
Step-by-step explanation:
31. Six men can do a piece of work in 8 hours.
How long will it take four men to complete the
same work?
A. 12hrs
B. 48hrs
C. 6hrs
D. 4hrs
Answer:
I think the answer is A. I hope that is right
6×8= 48
4×12=48
a grocery store sells different types of trail mix as shown in the table below
A popular podcast poses questions to subscribers at the end of each segment, asking listeners to enter their
responses on a website to join the sample. One of the questions was: "Do you regularly read nonfiction novels?" More
than 45,000 people responded, with 59 percent saying "Yes." Which of the following is true?
A) The sample is too small to draw any conclusion.
B) About 59% of people in the US regularly read nonfiction novels.
C) The poll uses voluntary response, so the results tell us little about the population of all adults.
D) The poll uses a convenience sample, so the results tell us little about the population of all adults.
E) The poll suffers from nonresponse bias, so the results tell us little about the population of all adults.
Answer:
The poll uses voluntary response, so the results tell us little about the population of all adults.
Step-by-step explanation:
I took the test
The one which is true would be; C poll uses voluntary response, so the results tell us little about the population of all adults.
How to calculate confidence interval for population mean for small sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as [tex]\overline{x}[/tex] and
The sample standard deviation s, and
The sample size = n, and
The level of significance = [tex]\alpha[/tex]
About 59% of the 45,000 people responded as "Yes" to the question
The sample size is n = 45,000.
The sample proportion is p = 0.59.
The sample selected is a voluntary sample, such that the individuals provided their responses voluntarily. So, the sample is not a true representative of the population.
Thus the results tell us little about the population of all adults because of the large sample size.
The correct option is C poll uses voluntary response, so the results tell us little about the population of all adults.
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