Answer: [tex]0.416655[/tex]
Step-by-step explanation:
If random variable X has the binomial distribution B(n, p), then
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]
, where n= Total number of trials, x = number of successes , p= probability of success in each trial.
Given: The random variable R has the binomial distribution B (12,0.35).
n= 12, = 0.35
[tex]P(R>4)=1-P(R\leq4)\\\\=1-[P(R=0)+P(R=1)+P(R=3)+P(R=4)]\\\\\\=1-[^{12}C_0(0.35)^{0}(1-0.35)^{12}+^{12}C_1(0.35)^{1}(1-0.35)^{11}+^{12}C_2(0.35)^{2}(1-0.35)^{10}+^{12}C_3(0.35)^{3}(1-0.35)^{9}+^{12}C_4(0.35)^{4}(1-0.35)^{8}]\\\\= 1-[(1)(0.65)^{12}+(12)(0.35)(0.65)^{11}+\dfrac{12!}{2!10!}(0.35)^2(0.65)^{10}+\dfrac{12!}{9!3!}(0.35)^3(0.65)^{9}+\dfrac{12!}{8!4!}(0.35)^4(0.65)^{8}]\\\\=1-0.583345\\\\\approx0.416655[/tex]
Hence, P(R>4)=0.416655
The population of a small town was 1200 people in 1998. In 2008 the population of that same town was recorded as 6,000. What was the percent of increase?
Answer:
The population had a 400% increase
Can someone help!!!!
Answer:
12.7=x
Step-by-step explanation:
y=mx+b
10=.65x+1.75
-1.75 -1.75
8.25=.65x
.65 .65
12.69=x round up
12.7=x
On a scale drawing, a school is 1.6 feet tall. the scale factor is 1/22. Find the height of the school
Answer:
35.2 ft
Step-by-step explanation:
Multiply the scale factor and the height.
HURRY i have 42:12 min left
Point A is located in which quadrant?
Quadrant l
Quadrant ll
Quadrant lll
Quadrant lV
Answer:
point a is located Quadrant11
Step-by-step explanation:
Answer:
Need picture to give correct quadrant
Step-by-step explanation:
a ship sails 400km in 18hours.how many days will it take to cover 1600km at the same rate?
Answer:
72 hours
Step-by-step explanation:
1600/400=4
so 4 x 18= 72 hours
Please help!!!!! Explain
Answer:
If the total price of an object is A, and we have a tax of X%, then the new price of the object is:
Price = A + A*(X%/100%) = A*(1 + X%/100%)
In this case, the initial price of the car is:
A = $16,368
a) the tax is 6.6%
In this case, the price will be:
Price = $16.368*(1 + 6.6%/100%) = $17,448.288
b) the tax is 8.25%
In this case, the price will be:
Price = $16.368*(1 + 8.25%/100%) = $17,718.36
c) the tax is r.
we only replace X% by r.
Price = $16.368*(1 + r/100%)
d) We want to solve for r the above equation, we just need to isolate r.
Price/( $16.368) = (1 + r/100%)
Price/($16.368) - 1 = r/100%
(Price/($16.368) - 1)*100% = r
10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6
Answer:
it's times 4 every time
Step-by-step explanation:
4.5 times 4 is 18 etc
Money is borrowed at 10% simple interest. After one year, $597.30 pays off the loan. How much was originally borrowed?
Answer:
$543
Step-by-step explanation:
597.3/1.10 =543
543*.10 = 54.3
597.3-54.3 = 543
The table shows locations on a map.
Place
park
farmers market
Location
•(-2,2)
(-2,3)
(2, 2)
(6,-3)
post office
bus stop
Which places on the map are 4 units apart?
the park and the farmer's market
O the farmers market and the bus stop
O the post office and the park
O the post office and the bus stop
Answer:
The table shows locations on a map.
Place
parkfarmers marketpost officebus stopLocation
(-2,2)(-2,3)(2, 2)(6,-3)Which places on the map are 4 units apart?
O the park and the farmer's market
O the farmers market and the bus stop
✓ the post office and the park
O the post office and the bus stop
Step-by-step explanation:
Distance :---
[tex]→ \sqrt{ {(2 - ( -2 ))}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ {4}^{2} + {0}^{2} } = \sqrt{ {4}^{2} } = \boxed{4 \: units}[/tex]
Is 15 ft 20 ft 24 ft a right triangle
Answer:
No
Step-by-step explanation:
If:
a=15
b=20 then
c (hypotenuse)=25
Answer:
No
Step-by-step explanation:
A right angle is always 90°
u add up all the sides, if it doesn't equal 90 then it's not a right triangle.
so 15 + 20 + 24 = 59 so this is not a right triangle.
Why is 2/10 equivalent to 1/5?
Answer:
If you divide both top and bottom of [tex]\frac{2}{10}[/tex] by 2, you get [tex]\frac{1}{5}[/tex]
Answer:
because you have to find common denominators
2/10= 1/5
2/10= 1x2/5x2
Whatever you do to the bottom, you do to the top so that is why i also multiplied the numerator by 2.
2/10=2/10
Hope it helped!! Pls mark brainliest :)) Have a good day
Step-by-step explanation:
Stella is saving money for a P750
.00 schoolbag. if she saved 25% of the money she needed,how many money did she save?
Answer:
Stella saved $187.5
Step-by-step explanation:
She needs $750.00 to buy the schoolbag.
She has saved 25% of the money she needs. So
0.25*750 = $187.5
Stella saved $187.5
David canoes 20km downstream in 2.5 hours his return trip takes 4 hours find the rate of his current. A 1.5 km/h B 1 km/h C 0.5 km/h D 2.5 km/h
Answer:
1.5 km/hour
Step-by-step explanation:
d is the David's speed in still water
c is the speed of the current
Going with the current, he travels d+c km per hour.
Going against the current, he travels d-c km per hour.
d+c = (20 km)/(2.5 hours) = 8 km/hour
d-c = (20 km)/(4 hours) = 5 km/hour
Add the equations to eliminate the c terms
d+c = 8
d-c = 5
----------
2d = 13
d = 6.5 km/hour
c = 8-d = 1.5 km/hour
when do you go to soccer 4:00 A.M. or 4:00 P.M.
Answer:
4:00 pm for me because its right after school
Step-by-step explanation:
(2) Janie has 5 purple grapes and 8 red grapes. Select the ratios that compare the number of red grapes to the total number of grapes. Mark all that apply. A) 8 to 5 B) 8:13 C) 8/13
Answer:
B
Step-by-step explanation:
Both B and C are right btw. Ratios can be both fractions and in the (x:Y) format.
8 red grapes to 13 total grapes=
8:13 or 8/13
Sarah buys 8 packages, each with 20 balloons, and uses 1/4 of them to decorate the hall.
Write and evaluate an expression to find how many balloons Sarah has left.
Answer:
(8 × 20) ÷ 4
40
Step-by-step explanation:
8 × 20 = 160
160/4 = 40
The fraction is defined as a number in the form of a/b where a nd b are integers and b is not equal to zero. Sarah has left with 120 balloons.
What is a Fraction?A fraction is used to represent a portion or part of anything. It consists of two parts a numerator and a denominator. For example 1/4 is a fraction where numerator is 1 and denominator is 4.
The total number of packages = 8
Number of balloons in each package = 20.
The portion of balloons use to decorate hall = 1/4.
Suppose the remaining balloons are x.
Thus the expression for remaining balloons can be written as,
x = 20 × 8 - 1/4×(20 × 8)
x = 160 - 40
= 120.
Hence, Sarah has left with 120 balloons and the expression for left balloons is x = 20 × 8 - 1/4×(20 × 8).
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a cylindrical water tank has a diameter of 4m and a height of 3m.while a water tank shaped like a rectangular prism has a length of 7m.a width of 2 meters and a height of 2 meters. which of the tanks can hold more water? by how many cubic meters?
Answer:
The cylindrical tank can hold 9.7 cubic meter more water than the rectangular prism shape tank .
Step-by-step explanation:
We are given that
Diameter of cylinderical water tank, d=4 m
Radius of cylinderical water tank,r=d/2=4/2=2 m
Height of cylinderical water tank,h=3 m
Length of rectangular prism, l=7 m
Width of rectangular prism ,w=2 m
Height of rectangular prism, h=2m
Volume of cylinder=[tex]\pi r^2 h[/tex]
Where [tex]\pi=3.14[/tex]
Using the formula
Volume of cylinderical tank=[tex]3.14(2)^2\times 3=37.7m^3[/tex]
Volume of rectangular prism=[tex]lwh[/tex]
Using the formula
Volume of rectangular prism=[tex]7\times 2\times =28m^3[/tex]
Difference between volumes=37.7-28=9.7 cubic meters
Hence, the cylindrical tank can hold 9.7 cubic meter more water than the rectangular prism shape tank .
Useless people all races ages 8-30 go do something with your life and do something that is worth of memory before its all gone the after life is a very nice place to go to but if you guys keep acting so foolish you will have to go to hell unless you want to replenish those sins and bad things you have done even if god does not exist a bad and good place will.
Answer:
i agree 100%
Step-by-step explanation:
The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
meter. (V = 53)
** Round to one decimal place.
The length of an edge is the cubic root of the volume.
Cubic root 1.8 = 1.2 meters
The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?
Answer:
The new jar would be smaller than the original.
Step-by-step explanation:
First you would have to find one 1/5 of the original size. This gives you the increased size.
Then, you'd find 1/5 of the new size and subtract it from the increased size of the jar.
1/5 of the increased size is larger than 1/5 of the original size, so no matter what number it is, you'll always end up with a smaller-sized jar of coffee at the end.
The new jar would be smaller than the original.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
First, you would have to find one 1/5 of the original size. This gives you the increased size.
Then, you'd find 1/5 of the new size and subtract it from the increased size of the jar.
1/5 of the increased size is larger than 1/5 of the original size, so no matter what number it is, you'll always end up with a smaller-sized jar of coffee at the end.
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Find the equation of the linear function represented by the table below in slope
intercept form
Answer:
y=x+2.
Step-by-step explanation:
1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:
[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]
2. if to evaluate the equation, then
x+3=y+1; ⇔ y=x+2 (slope-interseption form).
describe and correct the error in writing an equation of the line with a slope of 2 and a y intercept of 7
Answer:
An equation of the line with a slope of 2 and a is inercept of 7
Step-by-step explanation:
I think this is what you are saying?
Two of the known angles in a trianglemeasure 120 and 22 What is the measure of the third angle?
Answer:
120+22+x=180
x=38
120+22+38=180
Step-by-step explanation:
Hope it helps
Mark me as brainiest
There are 7 trucks for every 5 cars . If there are 21 trucks, how many cars are there?
Answer:
15 cars
Step-by-step explanation:
If there are 7 trucks for every 5 cars, the ratio is 7:5. So if there are 21 trucks, that's 7 x 3, which means we also multiply 5 by 3 = 15
Write an equation for a line perpendicular to h(t) = -2t +4 and passing through the point (-4, -1).
Answer:
y=1/2t+1
Step-by-step explanation:
To get a perpendicular line, the slopes have to be reciprocals.
Factorise this expression as fully as possible
2x2 + 6x
Answer:
The factored expression is: [tex]2x(x + 3)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]2x^2 + 6x[/tex]
To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:
Numeric:
GCF between 2 and 6 is 2, because:
2 - 6| 2
1 - 3|
1 and 3 are not divisible by the same number, so 2.
Coefficient:
Between x² and x, x.
Factorizing:
Simplifying by 2x.
[tex]2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)[/tex]
The factored expression is: [tex]2x(x + 3)[/tex]
I need help... plssss :))
Answer:
(1, -1), (1, -2), (2, -3), (2, -4)
NO
Step-by-step explanation:
✔️Each ordered pair is written as (input, output).
Thus, we would have the following:
(1, -1), (1, -2), (2, -3), (2, -4)
✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.
So, the answer is NO. It is not a function.
7/8 divided by 1/16 in simplest form?
Answer:
14
Step-by-step explanation:
Keep, change, flip!
7/8 / 1/16
7/8 x 1/16
7/8 x 16/1
Equals...
112/8
Which can be simplified to...
14!
Hope this helped!
Answer:
14
Step-by-step explanation:
(7/8)/(1/16) = 7/8 × 16/1
7 × 16/8 = 7 × 2 = 14
Jessica cuts a ribbon with a length of 12 inches into three pieces such that the length of
one piece is 3 1/2 inches and the lengths of the other two are the same. What is the length of each of the other two pieces?
A. 2 1/2 inches
B. 4 1/4 inches
C. 7 3/4 inches
D. 8 1/2 inches
Answer:
B 4 1/4
Step-by-step explanation:
Answer:
Its B. 4 1/4
Step-by-step explanation:
How it helps!
Select the correct symbol
Answer:
The answer is <