Answer:
a. 40С10 * 20С10 / 60С20
b. 1 + (40)(20) + (40C2)(20C2) / 60С20
Step-by-step explanation:
Total number of application = 60
Total number of application from east = 40
Total number of application remaining = 20
Number of ways of selecting 20 applicant = 60C20 (Sample space)
a. Probability of 10 are from East.
= (10 from east) * (10 from remaining)
= 40С10 * 20С10 / 60С20
b. Probability of Not more than 2 are from East.
= P(x≤2)
= P(x=0) + P(X=1) + P(X=2)
= [40С0 * 20С20 / 60С20] + [40С1 * 20С19 / 60С20] + [40С2 * 20С18 / 60С20]
= 1 + (40)(20) + (40C2)(20C2) / 60С20
Georgia said she could make 11 out of 20 blankets for a craft show. She has already made 3 blankets. What percent of the 20 blankets does she still have to make? helppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeee i wil give you 100 0point i swerare
Answer:
Step-by-step explanation:
Total she can make = 11
Amount she has already made = 3
Amount she still have to make = 11-3 = 8
% of the 20blanket she still have to make = 8/20×100
= 8×5
= 40%
Hence she Still need to make 40% of the 20blanket
Answer:
11-3=8
40% of 20 is 40/100*20 = 8
Step-by-step explanation:
brainliest please
-4 2/3 x -1 1/2 with work shown pls
Answer:
g
Step-by-step explanation:
e
When sawdust is poured into a pile, it takes the shape of a cone where the proportion of height to base diameter is always the same. The volume of a cone can be found using the formula 1 V = ar-h, where r is the radius of the base circle, and h is the height of the cone. 3 A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 55 feet high. ft3 Give your answer as an expression (using pi for 7), or as a value accurate to the nearest whole number.
Answer: i really don’t u derstans this
Step-by-step explanation:
what is the slope of an equation of the line that passes through the point (3,-5) and has a slope of 0
Answer:
y=0x-5
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
HELPPPPPP MEEEEEE PLEASEEEEEE!!!!!!
Graph the line y=-3/4x+1
Step-by-step explanation:
That is what your line should look like :)
The equation of line is y = ( -3/4 )x + 1 , where the slope is m = ( -3/4 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = ( -3/4 )x + 1 be equation (1)
On simplifying the equation , we get
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And , the line is plotted in the graph
Hence , the equation of line is y = ( -3/4 )x + 1
To learn more about equation of line click :
https://brainly.com/question/14200719
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Which ordered pair is a solution to the equation y=5x-25?
(12,50)
(5,10)
(2,25)
(10,25)
Answer:
c bye
Step-by-step explanation:
Do the ratios 8/16 and 1/2 form a proportion?
Answer:
yes
Step-by-step explanation:
They both equal to one half, which makes them proportional
Please help it’s due
5 = 60
6 = 150
7 = 30
if you have any more questions let me know
I need step by step help on how to work out this percentage question
Answer:
$15.7, $141.3Step-by-step explanation:
Discount
157*0.1 = $15.7Sale price
157 - 15.7 = $141.3what is the correct standard form for 30+2+0.1+0.005
Answer:
32.105
Step-by-step explanation:
30
2
+ 0.1
0.005
32.105 so answer is 32.105
The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?
Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
[tex]P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{110}{220})[/tex]
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean [tex]\mu_x[/tex] = np = 52 × 0.3085 = 16.042
The standard deviation = [tex]\sqrt {n \time p (1-p)}[/tex]
The standard deviation = [tex]\sqrt {52 \times 0.3085 (1-0.3085)}[/tex]
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
[tex]Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})[/tex]
[tex]Pr ( Y > 20) = P(Z >1 .338)[/tex]
From z tables
P(Y > 20) [tex]\simeq[/tex] 0.0903
1 Which expression is equivalent to 1/3y?
• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)
Answer:
The answer is 1/6y+1/6(y+12)-2
Answer:
1/6y+1/6(y+12)- 2
Step-by-step explanation:
Distribute [tex]\frac{1}{6}[/tex] through the parentheses : [tex]\frac{1}{6}[/tex]y + [tex]\frac{1}{6}[/tex]y + 2 - 2Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) : [tex]\frac{1}{6}[/tex]y + [tex]\frac{1}{6}[/tex]yCalculate the sum : [tex]\frac{1}{3}[/tex] ySolution : [tex]\frac{1}{3}[/tex] y
produstof 2/4 ×1/2 is
Answer:
1/4
Step-by-step explanation:
2/4 *1/2
(2/4 = 1/2)
1/2 * 1/2
1/4
Please help ASAP!!
What is the sum of the square root of 676 and square of 24
Step-by-step explanation:
square root of 676 is equal to 26
square of 24 is equal to 576
576+26 = 602
Step-by-step explanation:
[tex] \sqrt{676 } = 26[/tex]
[tex] {24}^{2} = 576[/tex]
576+26=602
find each percent increase
from 20 teachers to 30 teachers ___
Please help it’s due
1 = 70
2 = 20
3 = 70
4 = 20
5 =110
Approximately 1 in 28 people of Ashkenazi Jewish descent are Tay-Sachs carriers. In randomly sampling one man and one woman from this population, what is the probability neither is a Tay-Sachs carrier? What is the probability both are carriers?
Answer:
a) probability that neither is Tay-Sachs carrier is 0.9298
b) the probability that both are carriers is 0.001276
Step-by-step explanation:
Given that;
1 in 28 people of Ashkenazi jewish descent are Tay-Sachs carrier.
so P(Carrier) = 1/28 =
also P( Not a carrier) = 1 - 1/28 = 0.9643
Now After Sampling 1 man and 1 woman from the population;
a)
the probability neither is Tay-Sachs carrier
P( Neither is a Carrier) = 27/28 × 27/28 = 0.9298
Therefore probability that neither is Tay-Sachs carrier is 0.9298
b)
the probability both are carriers
P( Both are Carriers) = 1/28 × 1/28 = 0.001276
Therefore the probability that both are carriers is 0.001276
Help please thank you.
Answer: pick the third one
Step-by-step explanation:
Matthew went to a amusement park during his summer vacation. He went
with four of his best friends. The admission fee for the park was $10.50. The cost of each ride
ticket is $5.50. His favorite ride was the tilt-O-whirl. Matthew had $36.75 to spend at the
amusement park. How many ride tickets can Matthew buy?
Answer:
4 rides
Step-by-step explanation:
36.75-10.5= 26.25 cost of admission
26.25 divded by 5.5= 4.7777777
so 4 rides with left over change
Answer:he can buy 4 tickets
What is the equation of the line showed in this graph?
Answer:
y=1
Step-by-step explanation
Can someone help plz helpppp!!!!!
Answer:
4N left
5N left
0N (balanced)
9N right
Step-by-step explanation:
The net force is the vector sum of all of the forces acting on an object. To find the net force when there are two opposite forces subtract the smaller number from the larger, for example, 7-2. Then take to total, 5N, and add the direction of the stronger force. If the equation equals zero that means you have a balanced force. To find the force of two actions in the same direction simply add them.
Please help me please and fast
Answer:
b
Step-by-step explanation:
sorry if wrong
Solve -3(5x-9) please
Answer:
12
Step-by-step explanation:
Solve the equation 7 − 2x = 19.
Question 11 options:
x = −13
x = −6
x = 6
x = 13
Answer:
-6
Step-by-step explanation:
firstly arrange whole equation,
-2x+7=19
Now, Transpose 7 to RHS (right hand side)
-2x=19-7
-2x=12
Further, seperate coefficient -2 from x
and transpose it to RHS and divide them
x=12/-2
Hence, x= -6
A bicycle is traveling at 14 miles per hour.
How many feet will it cover in 35 seconds?
Answer:
The answer is 31 how that help
Find an equation of the line described. Write the equation in slope-intercept form when possible. Through (2,9) and (0,0)
Answer:
y=9/2x
Step-by-step explanation:
I used my notes.
What is the Inverse Point of (1,5)?
Answer:
The Inverse point of (1,5)=(5,1)
A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x^2−6x+9 yd^2.
Area of the flagpole plot: x^2−6x+9
Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x.)
The length of the base of the flagpole is
Answer:
[tex]x-3[/tex]
Step-by-step explanation:
The area of the flagpole base is [tex]x^2-6x+9\ \text{yd}[/tex]
where the factor of the equation is the length of the base.
In order to find the length we need to factorize the equation
[tex]x^2-6x+9[/tex]
[tex]=x^2-3x-3x+9[/tex]
[tex]=x(x-3)-3(x-3)[/tex]
[tex]=(x-3)(x-3)[/tex]
The length of the base of the flagpole is [tex](x-3)\ \text{yd}[/tex].
The area of a square base is the product of the side lengths.
The length of the base is x - 3
The area is given as:
[tex]\mathbf{Area =x^2 - 6x + 9}[/tex]
Expand
[tex]\mathbf{Area =x^2 - 3x - 3x + 9}[/tex]
Factorize
[tex]\mathbf{Area =x( x- 3) - 3(x - 3)}[/tex]
Factor out x - 3
[tex]\mathbf{Area =( x- 3) (x - 3)}[/tex]
Express as squares
[tex]\mathbf{Area =( x- 3)^2}[/tex]
Rewrite the area as:
[tex]\mathbf{Length^2 =( x- 3)^2}[/tex]
Take square roots of both sides
[tex]\mathbf{Length =x- 3}[/tex]
Hence, the length of the base is x - 3
Read more about area of squares at:
https://brainly.com/question/1658516
15 POINTS
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 10 : 45
B. 30 : 54
C. 6 : 10
D. 27 : 15
explanation if you know how to explain
Answer:
The answer is B
Step-by-step explanation:
The problem is asking for the same ratio as 5:9
Multiply both sides by 6 to get 30:54
