Answer:
$112.70
Step-by-step explanation:
$67.25 + $45.45 = $112.70
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of thirteen candidates for six local teaching positions consisted of seven who had enrolled in paid internships and six who enrolled in traditional student teaching programs. All thirteen candidates appear to be equally qualified, so six 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:
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Step-by-step explanation:
Candidates are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
Group of 13 individuals:
This means that [tex]N = 13[/tex]
6 candidates are selected:
This means that [tex]n = 6[/tex]
6 in trained internships:
This means that [tex]k = 6[/tex]
Find the probability that two or more internship trained candidates are hired.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,13,6,6) = \frac{C_{6,0}*C_{7,6}}{C_{13,6}} = 0.0041[/tex]
[tex]P(X = 1) = h(1,13,6,6) = \frac{C_{6,1}*C_{7,5}}{C_{13,6}} = 0.0734[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0041 + 0.0734 = 0.0775[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0775 = 0.9225[/tex]
0.9225 = 92.25% probability that two or more internship trained candidates are hired.
Find the area of the parallelogram.
The area of the parallelogram is [a] in2. please help
Answer: 117in²
Step-by-step explanation:
area of a parallelogram= bh (base times height)
13 times 9 = 117in²
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
7 cm
14 cm
Dmitri will need
23 cm
glass tiles.
Answer:
372
Step-by-step explanation:
We are given that the dimensions of the box are,
Length = 15 cm, Width = 20 cm and Height = 9 cm.
We know that the box represents a cuboid.
Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H
Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9
i.e. Surface area = 300 + 270 + 360
i.e. Surface area = 930.
Thus, the surface area of the box is 930 cm² i.e. 9300 mm².
Further, the sides of the tiles are 5 mm and the tile represents a square.
So, the surface area of the tile = 5 × 5 = 25 mm².
This gives us that,
Number of tiles required to cover the box = = 372.
Hence, Dmitri requires 372 tiles to cover the box.
Kayla has 1,000 Apples in 5 bags, Mack has 999 apples in 5 bags as well, how many apples does Kayla have THAN Mack? Mack said that it is 10 apples that he is missing to match Kayla, Kayla said its only one apple he is missing to match hers.1,000-999=? who is correct? ( kayla or Mack? )
Cell G: 4.21×10^-3 cm
Cell H: 9.2×10-4 cm
How many times larger is the diameter of cell G than the diameter cell H? Write your answer in standard notation, rounding to the nearest tenth.
Answer:
0.00421 centimeters.
Step-by-step explanation:
thats ur answer
Answer:
I believe that your answer would be 2.18527315×10^-1
Simplified would be 2.2×10^-1
Step-by-step explanation:
I hope this helps
Find the ratio of 15 seconds to 55 seconds
Answer:
Step-by-step explanation:
15:55
= 3:11
what is the solution of
sqrt 2x + 4 equals 16?
Answer: x=6
Step-by-step explanation:
2x+4=16
-4 -4
(2x=12)/2
x=6
Find the value of x on a triangle
Answer:
x = 25
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
90 + x+ 2x+15 =180
Combine like terms
105+3x = 180
Subtract 105 from each side
105+3x-105 = 180-105
3x =75
Divide each side by 3
3x/3 = 75/3
x = 25
Answer:
25°
Step-by-step explanation:
2x + 15° + x + 90 °= 180° ( being sum of angles of triangle)3x + 105° = 180 °3x = 180 °- 105°3x = 75° x = 25°hope it helps :)A cats' home has a raffle to raise money.
There is 1 prize to be won in the raffle.
Lottie buys 15 raffle tickets.
A total of 360 raffle tickets are sold.
Find the probability that Lottie does not win the prize.
Solve 6/10 times 1.7 =
Answer:
1.02 or 51/50
Step-by-step explanation:
First we convert the fraction 6/10, as a decimal
6/10 = 0.6
Then we simply multiply
1.7 × 0.6 = 1.02
Lastly we reduce
1.02 = 1 2/100 or 51/50
AI Prove that:
1-cOS A
V1+cos A
cosec A-cot A
Answer:
(1-cosA)/(1+cosA)
=(1-cosA)/(1+cosA) ×(1-cosA)/(1-cosA)
=(1-cosA)^2 /(1-cos^2A)
=(1-cosA)^2 / (sin^2A)
=(1/sinA - cosA/sinA )^2
=cosecA - cotA)^2
Hope it helps
Have a great Day ; )
uppose that you live in a community that has 1,250 households. Among these households, 500 have traditional landline telephones while the remaining 750 only use cellular and / or VOIP telephones. We are going to select 100 households from your community at random without replacement. The first household selected does not have a traditional landline telephone. What is the probability that the second household selected will have a traditional landline telephone
Answer:
0.4003 = 40.03% probability that the second household selected will have a traditional landline telephone.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The first household selected does not have a traditional landline telephone.
This means that of 1250-1 = 1249 households, 500 have traditional landline telephones.
What is the probability that the second household selected will have a traditional landline telephone
500/1249 = 0.4003
0.4003 = 40.03% probability that the second household selected will have a traditional landline telephone.
What is the value of x?
40
55
A. 95
B. 85
C. 750
D. 105
Answer:
B. 85
Step-by-step explanation:
A triangle has a total of 180 degrees.
85 + 55 = 140
140 + 40 = 180
Your answer is B. 85
The value of x is 85°
What is sum of angles of triangle ?
The sum of interior angles of a triangle are 180°
If ∠A, ∠B, ∠C are three interior angles of a triangle,
Then ∠A+∠B+∠C = 180°
What is the required angle ?Given that, Two angles of the triangle are 40° & 55°
Let, the third angle be x.
Then, Sum of angles = 180°
⇒ 40°+55°+x = 180°
⇒ x+95° = 180°
⇒ x = 180°-95°
⇒ x = 85°
The value of x = 85°
Learn more about angle of triangle here :
https://brainly.com/question/9916775
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Please answer the blanks
Answer:
5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12
A triangle has an area of 36 square feet. The height is 6 feet. What is the length of the base (in feet)?
Answer:
Answer · 6 votes
$b = 6 $ \ $ h =12$
In a right triangle when a = 8 and b = 15, what is the measure of c? ill give brainlist asap HELP!!!!!
Answer: 17
Step-by-step explanation:
To answer this question you can use the Pythagorean theorem which is a^2 + b^2=c^2. Plugging in the values you get 8^2 + 15^2=c^2. 8 times 8 is 64 and 15 times 15 is 225. 64+225=289. That leaves 289=c^2. Then find the square root of both numbers which leaves you with 17=c
Answer:
[tex]\boxed {\boxed {\sf c=17}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
We know that a is 8 and b is 15. We don't know the measure of c.
[tex]a=8 \\b=15[/tex]
Substitute the values into the formula.
[tex](8)^2+(15)^2=c^2[/tex]
Solve the exponents.
(8)²= 8*8=64 (15)²= 15*15=225[tex]64+225=c^2[/tex]
Add on the left side.
[tex]289=c^2[/tex]
Take the square root of both sides. This "cancels out" the exponent of 2 and isolates the variable.
[tex]\sqrt {289}=\sqrt{c^2}\\\sqrt{289}=c\\17=c[/tex]
The measure of c is 17.
round 0.50062 to 2 significant figures
Answer:
0.50
Step-by-step explanation:
Count figures after the decimal
What is the quotient of the fractions below?
3/5 divided by 5/11
Answer:
1 8/25
Step-by-step explanation: its right
Answer:
33/25
Step-by-step explanation:
If g(x) is 11 then what is x
Help quick please im down bad
hope you get an answer, sorry im no help
7
John is painting a sign of a rising sun, which happens to be exactly half of a circle. The half-
circle's base is 30 inches long. He'll need to buy enough paint to cover how much space?
(Approximate pi to 3.14)
(1 Point)
A = { bor?
900 sq. in.
1,413.00 sq. in.
353.25 sq. in.
30.00 sq. in.
Answer: 353 square inches
Step-by-step explanation:
Please need help thank
Answer:
7
Step-by-step explanation:
If each amount of time is a separate person, then 7
Pleaseeeeeeeee help meeeeEEEEEEEE IM HAVING A BREAKDOWN JUST PLEAAE HELPPPP
Answer:
all you got to do at the Sheldon also picks tomatoes from his garden. He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.
Step-by-step explanation:
Sheldon also picks tomatoes from his garden. He picked 5 310 kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.
A box of chocolate contains 6 milk chocolates, 5 dark chocolates and
3 white chocolates. You randomly choose three chocolates to eat.
What is the probability of first pulling a milk chocolate, second pulling
a white chocolate, and then lastly choosing a milk chocolate?
Write your answer ar a percentage and round the the nearest tenth.
0 4.6%
04%
03.3%
04.1%
Answer:
i think is 3.3 but i dont know
Step-by-step explanation:
help
Savings Account
80
60
Total Saved ($)
40
20
o
2 4 6 8
Time (weeks)
What equation shows the line through the
data points on the graph?
A y = 20x
C y = 15x
B y = x + 20 D y = 40x
Answer:
14 because when you divide it but not sure what yours is about
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12 x 9 (12 on the top and bottom and 9 on the sides)
Step-by-step explanation:
100 km = 2 units, or 2 boxes
450 x 2/100 = 900/100 = 9
(not sure if this would help or not)
Has anyone have a friend that became so close to you and then she or he started ignoring you for the rest of the time and even being close to you?
Answer:
yeah it sucks I'm sorry that happened to you. it'll get better. never be friends with that toxic person again.
Twenty -six students are going on a field trip and 18 students are staying at school. What is the ratio of the number of students who are going on the field trip to the number of students who are staying at school?
Answer:
26 to 18
26 cause that's the number of kids goin g to the field trip to 18 cause that's all the kids staying
What is the value of x?
Answer:
33.5
Step-by-step explanation:
4x+5+41=180
4x+46=180
4x=180-46
4x=134
4x=33.5
i need help plzzzzzzzzzz
Answer:
I think c
Step-by-step explanation: