Answer: 0.2417
Step-by-step explanation:
- 10! / (10-5)!5! x 0.53^5 x 0).47^5
To solve the problem we must know Binomial distribution.
The probability that exactly half have some college education is 17.3425%.
Given to us
The probability of a person having at least some college education = 63% = 0.63To solve the problem we will use the Binomial distribution, therefore,
The probability of a person having at least some college education, p = 63% = 0.63The probability of a person not having at least some college education, q = 37% = 0.37Number of people selected for college education (Sample Size) = 10Using the formula for Binomial Distribution,We want the probability that exactly half have some college education, therefore, x = 5
[tex]P(x) = ^nC_x\ p^x\ q^{(n-x)}[/tex]
Substitute the values we get,
[tex]P(5) = ^{10}C_5\ (0.63)^{5}\ (0.37)^{(10-5)}\\\\P(5) = ^{10}C_5\ (0.63)^{5}\ (0.37)^{5}\\\\P(5) = 0.173425 = 17.3425\%[/tex]
Hence, the probability that exactly half have some college education is 17.3425%.
Learn more about Binomial distribution:
https://brainly.com/question/12734585
Answer Plz, ASAP. Within 10 minutes will be Marked as Brainliest
[tex] \sf \left|\begin{array}{c c} sin20\degree & -cos20\degree \\ sin70\degree & cos70\degree \end{array}\right|=?[/tex]
[tex]\large\bold{\underline{\underline{Explanation:-}}}[/tex]They are asking us to find the determinant
[tex]\boxed{\sf \left|\begin{array}{c c} a & b \\ c & d \end{array}\right| =ad-bc}[/tex]
Now using the above formula it becomes[tex]\left|\begin{array}{c c} sin20\degree & -cos20\degree \\ sin70\degree & cos70\degree \end{array}\right| \: = sin20 \degree cos70 \degree - ( - cos20 \degree sin70 \degree) \: \\ \\ = sin20 \degree cos70 \degree + cos20 \degree sin70 \degree [/tex]
Now using the formula[tex]\boxed{\sf sin(A+B)=sinAcosB+cosAsinB}[/tex]
it becomes
[tex] \longrightarrow \: sin(20 + 70) \\ \\ \longrightarrow \: sin(90 \degree) = 1[/tex]
★Therefore[tex] \boxed{\sf \left|\begin{array}{c c} sin20\degree & -cos20\degree \\ sin70\degree & cos70\degree \end{array}\right|=1}[/tex]
━━━━━━━━━━━━━━━━━━━★Extra information:-What is a matrix?☄It is a rectangular representation or array of numbers,symbols and many more functions
☄It is represented in rows and columns
━━━━━━━━━━━━━━━━━━━━━━━━━━(-3 - 4n) + (9n + 6x) + (7x+5) =
Answer:
5n+13x+2
Step-by-step explanation:
simplify
−3−4n+9n+6x+7x+5
=−3+−4n+9n+6x+7x+5
Combine Like Terms:
=−3+−4n+9n+6x+7x+5
=(−4n+9n)+(6x+7x)+(−3+5)
=5n+13x+2
Answer:
the answer is 5n+13x+2
Step-by-step explanation:
just trust the answer
Any help with this? I need help solving.
Answer:
By AAS or AAA congruence, you can prove it.
I hope it will be useful .
Step-by-step explanation:
angleG=angleE (given)
Corresponding opposite angles formed by the transversal are equal! i.e., angleFDG=angleDFE or vice-versa..
And the side is common! or you can prove it by AAA criteria (two pairs of equal angles made by the transversal)
anyone help!!!!! he due in 30
Rewrite in simplest terms: (10x + y) + (10x – 7y)
Oh
9514 1404 393
Answer:
20x -6y
Step-by-step explanation:
Parentheses can be eliminated and like terms combined.
10x +y +10x -7y
= x(10 +10) +y(1 -7)
= 20x -6y
*extra points* solve [tex]\sqrt[3]{64}[/tex]
Answer: The answer is 4.
Step-by-step explanation: You'll need to simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers: [tex]4^{3}=64[/tex].
Round 3292.53429 to the nearest hundred thousandth
Answer:
The answer is "0.00001"
Step-by-step explanation:
Given value:
[tex]\to 3292.53429[/tex]
when we round a hundred thousandths (100,000) value. So, the given rounding 3292.53429 to the nearest 0.00001.
Jean spent $37.50 for 500 paperclips. How much did he pay for each paperclip?
Help pleasseeeeeeeeeeeeeeeeeee
Answer:
welp
Step-by-step explanation:
PLEASE HELP ASSP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A: 2/9
Step-by-step explanation:
f(x) = StartLayout Enlarged left-brace 1st row 1st column negative 1 2nd column x less-than negative 1 2nd row 1st column 0 2nd column negative 1 less-than-or-equal-to x less-than-or-equal-to 1 3rd row 1st column 1 2nd column x greater-than 1 EndLayout
Answer:
C {–3, 2, 5}
Step-by-step explanation:
{–3, 2, 5}
Answer: D
Step-by-step explanation:
It’s 4=D
it takes 12 people to pull 30 tons of goods how many people would it take to pull 60 tons of goods
Answer:
24
Step-by-step explanation:
60 is double of 30 so double 12 to get your answer, 12 time two is 24
Line A passes through points (2, 9) and (7, 3). Line B passes through points (1, 4) and (7, 9). Are line A and line B parallel or perpendicular?
What is the solution to the system below?
y = -3x - 2
6x + 2y = -4
Answer:
Infinitely many solutions
Step-by-step explanation:
Since y=-3x-2, plug it in (2)
6x+2(-3x-2)=-4.
Distribute:
6x-6x-4=-4
-4=-4
Infinetly many solutions.
Hope this helps :)
the total distance that fred amy and leah need to drive is 180 miles. fred will drive 65 miles and leah will drive 45 miles. how many miles will amy need to drive
Answer:
Amy needs to drive 70 miles.
Step-by-step explanation:
180-(65+45)=?
180-(110)=70
Find the y-intercept and x-intercept of the line.
5x-3y=10
Answer:
strategy: put this equation into slope intercept form y = mx + b
then it is easier to find x and y intercepts
Step-by-step explanation:
5x-3y=10
5x-10=3y
5/3x - 10/3 = y
y = 5/3x - 10/3
when x is zero then y is - 10/3, that's the y intercept
when y is zero then x is 2, that's the x intercept
:)
a mat is 3m long and xm wide what is the area in m²
Answer:
3x m²
Step-by-step explanation:
Area is length × breadth
So
A= 3 × x
A= 3x m²
The diameter of a pearl is about 4 x 10-3cm and the diameter of an atom is about10-11m. How much larger than an atom is a pearl?Show your work.
a)14x 10∧-14times b) 4 x 10 ∧-14timesc) 14x 10∧-11times d) 4 x 10∧6times
Answer:
D. 4 × 10⁶ timesStep-by-step explanation:
The diameter of a pearl is
4 × 10⁻³cm = 4 × 10⁻⁵ mThe diameter of an atom is
10⁻¹¹mHow much larger than an atom is a pearl?
4 × 10⁻⁵ ÷ 10⁻¹¹ = 4 × 10⁻⁵⁺¹¹ = 4 × 10⁶ timesCorrect option is D
What is 80/10 simplifyed
Answer:
The fraction 80/10 in its simplified form is 8/1 or simply 8.
Step-by-step explanation:
Given fraction is:
80/10
We have to write it in its simplest form.
As 80 and 10 both are multiples of 10, therefore, simplifying the fraction
80/10 = 8/1
Hence,
The fraction 80/10 in its simplified form is 8/1 or simply 8.
If Zoe has 9 apples, and each apple were 9 grams of sugar. How many grams of sugar does Zoe ate if see eats 9 apples each day this week.
Answer: 567
Step-by-step explanation: 9*9=81 then you take 81 and times it by however many days there is in the week (aka 7) 81*7=567
HELPP! Find the y-intercept of the line on the graph.
Enter the correct answer
Answer:
-2
Step-by-step explanation:
The y-intercept of the line is -2
Answer:
-2
Step-by-step explanation:
because the line is on the -2 on the y axis
!!!!!!!!!!!!!help please!!!!!!!!
Answer:
Quadrilaterals
Step-by-step explanation:
Because they all have 4 sides.
Express 27 4/3 in simplest radical form
Answer:
3⁴
Step-by-step explanation:
Expressing in the simplest radical form means simplifying a radical so that there are no more square roots, cube roots, fourth roots etc.
It further means removing radicals in the denominator of a fraction.
Given
[tex]27^{4/3}[/tex]
this can be written as
[tex](\sqrt[3]{27} )^{4}[/tex]
This is simplified as;
(3)⁴
A group of 3 friends are practicing for a track meet. The group is going to run 7 12 miles total. If they each run the same distance, how far will each person run?
For full points:
1) Show your thinking step by step on how you solved this problem.
2) Do not forget to include the final answer.
pls hurry ;-;
I thought of a number. I divided that number by 4 and added 6 to it. The result was 8. What was my number?
Btw this is supposed to be a fun-like math question :)
Answer:
8
Step-by-step explanation:
x÷4+6=8 x=8loooooooooooooooooooooooooooooooooooool
A customer placed an order with a bakery for cupcakes.
Answer:
is there more to this question because as it's it's it's just a statement
Answer:
What kind of order? Did they order chocolate?
Step-by-step explanation:
Joe worked 5 days this week and earned $1,100. He paid 6% in State tax. What is Joe's net pay?
Answer:
1034$
Step-by-step explanation:
1100/100×6=66$
1100-66=1034$
Consider the following triangle side lengths and determine if the triangle could exist. Justify your answer. Part A: 21,18,17 Part B: 3,12,8
Answer:
A yes, B no
Step-by-step explanation:
The triangle inequality states that the sum of any 2 sides of the triangle must be greater than the third side.
A Given 21, 18, 17 , then
21 + 18 = 39 > 17
21 + 17 = 38 > 18
18 + 17 = 35 > 21
Thus the triangle could exist
B Given 3, 12, 8 , then
3 + 12 = 9 > 8
3 + 8 = 11 < 12 ← fails the test
Thus the triangle does not exist
pls help me asap pls is all im asking for people this is for a final nd like ye im stressin.
will give brainliest
6-3/8 I need help please
Answer:
5.625
Explanation: