In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired. Find the probability that two or more internship trained candidates are hired.
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]
(7 points) Simplify to create an equivalent expression.{-4(z+3)-4(5-4z)
Answer : 12z - 32
Explaination:
Uhhh yeah math?
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes
Answer:
(20,0)
Step-by-step explanation:
Trust me :)
Answer:
(20,0)
Step-by-step explanation: trust the guy ^
Tell whether the angles are complementary or supplementary. Then find the value of x.
Answer:
Supplementary angles,
x = 50
Step-by-step explanation:
These angles are supplementary, meaning that they add up to form a 180-degree angle or a straight line.
Knowing this, now form and solve the equation,
76 + 2x + 4 = 180
Combine like terms,
76 + 2x + 4 = 180
80 + 2x = 180
Inverse operations,
80 + 2x = 180
-80 -80
2x = 100
/2 /2
x = 50
The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side
Step-by-step explanation:
Given parameters:
Perimeter of triangle = 69cm;
Unknown:
Length of each side = ?
Solution:
Side a is 5cm shorter than side b;
b = a + 5 ----- i
Side c is 5 more than twice side b;
c = 2b + 5
The three sides of triangle are a, b and c;
Perimeter is the sum of sides of a body;
a + b + c = 69
From i;
a = b - 5
b
c = 2b + 5
so;
b - 5 + b + 2b + 5 = 69
4b = 69
b = 17.25cm
a = b -5 = 17.25 - 5 = 12.25cm
c = 2(17.25) + 5 = 39.5cm
definitonss for math really easy
Answer:The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.
A system of linear equations is usually a set of two linear equations with two variables. x + y = 5 x+y=5 x+y=5x, plus, y, equals, 5 and 2 x − y = 1 2x-y=1 2x−y=12, x, minus, y, equals, 1 are both linear equations with two variables. When considered together, they form a system of linear equations.
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial the 3 is a constant term.
Step-by-step explanation:
Find the value of x for which I is parallel to m. The diagram is not
to scale.
Answer:
b 56
Step-by-step explanation:
An experimenter flips a coin 100 times and gets 58 heads. Find the 90% confidence interval for the probability of flipping a head with this coin.
a. [0.483, 0.677]
b. [0.383, 0.627]
c. [0.533, 0.538]
d. [0.483, 0.477]
e. [0.403, 0.677]
f. None of the above
Answer:
The correct option is f.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
It is provided that an experimenter flips a coin 100 times and gets 58 heads.
That is the sample proportion of heads is, [tex]\hat p=0.58[/tex].
The critical value of z for 90% confidence level is, z = 1.645.
*Use a z-table.
Compute the 90% confidence interval for the probability of flipping a head with this coin as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.58\pm 1.645\cdot\sqrt{\frac{0.58\times(1-0.58)}{100}}\\\\=0.58\pm 0.0812\\\\=(0.4988, 0.6612)\\\\\approx (0.499, 0.661)[/tex]
Thus, the 90% confidence interval for the probability of flipping a head with this coin is (0.499, 0.661).
The correct option is f.
you are running a fuel economy study. one of the color you find is blue. it can travel 30 1/2
miles on 1 1/4 gallons of gasoline.
Answer:
69
Step-by-step explanation:
Answer:
24 2/5
Step-by-step explanation:
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
23
Step-by-step explanation:
Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
A One Solution
B No solution
c Infinite Solution
Answer:
one solution
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
Write Polynomial Function From Graph
Answer:
X=38(8m)#7=274*€7£
Step-by-step explanation:
There you go my answer is pretty much the explanation
not sure what grade this is but if this is collage than that would be the answer
i promise this is my last one! BAHAHHAHA
Answer:
c 12 red marbles and 9(origninally i had 12 rad marbles and 8 blue i ment 9) blue marbles XD
Step-by-step explanation:can i get brainliest
can someone help please
Answer: m<10 less than 10 is the answer so it would be m<10
Step-by-step explanation:
intersecting lines r s and t are shown below. what is the value of x
Answer:
15
Step-by-step explanation:
can u find all angles
Answer:
I think it's 118°73°49° not really sure
sorry
Andrew sold 45 tickets to the school play and Sara sold 60 tickets. Which of the following is equivalent to the ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
a. 6:8
b. 8:10
c. 6:10
d. 10:12
Answer:
a
Step-by-step explanation:
definitely not d
Answer:
A
Step-by-step explanation:
Question 1 (1 point)
Mr. Whittaker had 24 bags of marbles. If 1/4 were red and 3/8 were yellow. How many were neither red or yellow
6
15
10
9
Answer:
the answer is 9
Step-by-step explanation:
3/8 = 9
1/4=6
9+6=15
24-15=9
so 9 is your answer
DONT FORGET TO MARK BRAINLIEST
Find the value of x. Round your answer to the nearest tenth.
Answer:
19/21=0.9
I hope this is good enough:
A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
Answer:
0.57142
Step-by-step explanation:
A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?
We are told that the Mean and Standard deviation = 10°C
We convert to Fahrenheit
(10°C × 9/5) + 32 = 50°F
Hence, we solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 59 °F
μ is the population mean = 50 °F
σ is the population standard deviation = 50 °F
z = 59 - 50/50
z = 0.18
Probability value from Z-Table:
P(x ≤59) = 0.57142
The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit
is 0.57142
Which transformation from the graph of a function f(x) describes the graph of 10f(x)
Answer:a
Step-by-step explanation:
What is the prime factorization of 5? Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17
Answer:
The prime factorization of 5 is 5 x 1
Step-by-step explanation:
5 is a prime number but the only factors that make up 5 are 5 and 1
Hope this helps!
Choose the measure that is approximately equivalent to 9 kilometers.
A.4.5 mi
B.5.6 mi
C.7.39 mi
D.14.5 mi
9 miles is approximately equivalent to 5.6 miles.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 mile is approximately equivalent to 1.6 kilometers or 1.6 kilometers is equivalent to 1 mile.
∴ 9 kilometers is equivalent to (9/1.6) miles.
= 5.6 miles.
learn more about the unitary method here :
https://brainly.com/question/22056199
#SPJ2
Multiply 16.852 × 0.86 = _____
Answer:
14.49272
Step-by-step explanation:
16.852 × 0.86 = 14.49272
Can someone help me? Please i need this done
Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)
Answer:
Caleb will run 237 ft
Step-by-step explanation:
Answer:
Caleb will run 220 ft.
Step-by-step explanation:
70 * pi = 220 ft
Evaluate -3- (-4) - (-2) + 1.
Answer:
4
Step-by-step explanation:
-3+4+2+1=4
A local zoo has two large snakes. The anaconda is currently 5.23 meters long and grows
1.27 meters every month. The python is 4.76 meters long and grows 2.04 meters per month.
How many months ( ) m does the zookeeper need to wait for the two snakes to be the
same length?
i really need to know this. my nine weeks ends tomorrow and im behind in math. plzzzzzzzzzzzzz answer this plz, i beg of you
for the anaconda 5.23 + 1.27 m where m is the number of months, and the total length is in meters
The anaconda starts at 5.23 meters and grows 1.27 meters each month for m months
for the python 4.76 + 2.04m where m is the number of months, l is the length of the python in meters
The python starts at 4.76 meters and grows 2.04 meters each month for m months
5.23 + 1.27 m = 4.76 + 2.04m m is the number of months Each side is
24 cycles in 2 cycle stands = cycles per cycle stand
Answer:
there are 12
Step-by-step explanation:
24/2 = 12 that means that there are 12 cycles per stand
Answer: 12 cycles
Step-by-step explanation:
A city planner wants to construct a new road south of Town Hall and north of the Community Center. The city planner currently has the road plotted as a set of parallel lines as shown on the map. However, the current plan for the road would cover a historical marker. ( please help )
Which transformation should the city planner apply to this road so that it preserves the historical marker and still passes south of Town Hall and north of the Community Center?
translate the road up 2 units
translate the road up 4 units
translate the road down 2 units
translate the road down 4 units
Answer:
translate the road down 4 units
Hope this helps