The probability of getting exactly 4 heads is 0.23.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Let p represents the probability of getting head in a toss of a fair coin, so
[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]
Let X denote the random variable representing the number of heads in 6 tosses of a coin.
The probability of getting r sixes in n tosses of a fair is given by,
Probability of getting 4 heads :
[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]
Hence, the probability of getting exactly 4 heads is 0.23.
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The measure of an angle is 27. 5°. What is the measure of its complementary angle?
Answer:
62.5 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees.
So the answer is 90 - 27.5.
what is 6.7 x 192 ÷ 0.051 ?
Answer: Reduce the expression, if possible, by cancelling the common factors
25223.52941176
Hoped this helped :)
For a research project on rodents, 41 chipmunks were tagged and released. Later, researchers counted 320 chipmunks in the area. Of the chipmunks they counted, 16 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?
820 rodents in total
------------------------------------
create a proportional equation:
[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]
[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex] ( Let the total population be x )
[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]
[tex]\hookrightarrow \sf x= 820[/tex]
Let that be x
[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]
[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]
12, 17, 22, ...
Find the 36th term.
Answer:
187
Step-by-step explanation:
a=12,d=17-12=5
nth term =a+(n-1)d
36th term=12+(36-1)5
=12+(35×5)
12+175
36th term=187
The value of 36th term is 187.
What is arithmetic progression?An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.
abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.
Given series
12, 17, 22,.....
since the series is in AP because the difference between any two consecutive numbers is equal,
17 - 12 = 5 and 22 - 17 = 5
for nth term of AP
aₙ = a₁ + (n - 1)d
where a₁ = 12, n = 36, d =5
a₃₆ = 12 + (36 - 1)5
a₃₆ = 12 + 35 × 5
a₃₆ = 12 + 175
a₃₆ = 187
Hence 187 is the 36th term.
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6-10 divide, another onee thank you!!
Answers:
10.) [tex]\displaystyle \pm{5}[/tex]
9.) [tex]\displaystyle 1\frac{1}{2}[/tex]
8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]
Step-by-step explanations:
10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]
9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]
8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]
I am joyous to assist you at any time.
A 60 cm high cylinder with 14 cm its diameter is cut vertically into two equal halves. what is the volume of a half part
The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.
Volume of a cylindervolume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 14 / 2 = 7 cm
h = 60 cm
volume of the cylinder = π × 7² × 60
volume of the cylinder = π × 49 × 60
volume of the cylinder = 2940π cm³
The volume of the half part = 2940π / 2 = 1470π cm³
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i Want to ask about linear equation
Answer:
what do you want to know about linear equation?
Failing to reject a false null hypothesis is classified as a.
Answer:
it classified as a
error.
Step-by-step explanation:
cuanto es 4{(-50+-5)÷3]+6}x[-4+-3÷1)÷3]
Answer:
-148/3 or -49.3
Step-by-step explanation:
What is the perimeter of the shape below?
None of these choices are correct
The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.
A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet
The side length of the cube is 13 feet.
We have given that
Lateral area of a cube = 676 square feet
We have to determine the side length of the cube
So here we use the formula of the lateral surface area of the cube.
What is the formula for Lateral surface area?[tex]L=4side^2[/tex]
L=676,and side =a
[tex]676=4a^2[/tex]
divide both side by 4
[tex]\frac{676}{4}=a^2[/tex]
[tex]169=a^2[/tex]
Taking square root on both side of equation we will get
[tex]13=a[/tex]
Therefore, Side length of the cube is 13 feet.
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Answer:
13
Step-by-step explanation:
What is the reciprocal of look at the attachment
Answer:
5/2
Step-by-step explanation:
to find the reciprocal you just flip the fraction.
Answer:
the answer is 5/2 because reciprocal means to flip the equation
Step-by-step explanation:
What is a formula for the nth term of the given sequence?
16,8, 4...
Answer:
Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide
Step-by-step explanation:
What is the area of a regular pentagon with a side of 15 cm?
Answer:
hello.
• Area: 387.11cm²
•A (side)= 15 cm.
hope this helps.
Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6
Answer:
not a solution
Step-by-step explanation:
substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.
2(2) - 4(- 1) = 4 + 4 = 8 ← true
- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1
then (2, - 1 ) is not a solution of the system
Reflect (-5,-3) over the -axis.
Then translate the result down 2 units.
What are the coordinates of the final point?
Answer:
(-5,-1)
Step-by-step explanation:
1 m cube is equal to how many centimetre cube?
Answer:
1,000,000 cm³
Step-by-step explanation:
A cube has 3 dimensions of equal measure: length, width and height
To determine the volume of a cube, we multiply the dimensions:
⇒ volume of a cube = length × width × height
1 metre = 100 centimetres
Therefore, for a cube with a length, width and height of 100 cm:
⇒ volume = 100 cm × 100 cm × 100 cm
= 1,000,000 cm³
If y = 35 when x = 140, what is the value of y when x = 70?
Answer:
17.5
Step-by-step explanation:
x and y are in the ratio: 1 : 4
which means that if y is 35 x is 4 times y equating to 140
hence if x is 70 then y is 17.5
A garden table and a bench cost $767 combined. The garden table costs $53 less than the bench. What is the cost of the bench?
Answer:
55833 that may answer
Step-by-step explanation:
thanktou
How many triangles can be constructed with side lengths of 1. 8 cm, 3. 4 cm, and 5. 6 cm?
0
1
more than one
please explain your answer
Answer:
0.
Step-by-step explanation:
1.8 + 3.4 = 5.2.
The sum of two sides is less than the length of the third side (5.6 cm) so the answer is 0 triangles,
I need help finding the area of a triangle!
Here is a picture i have to find the area of triangle ABC
Answer: B
Step-by-step explanation:
0.17 + (0.68—0.17)* （20- -14.4)/-21.3- -14.4)
Answer:
See the steps below
Step-by-step explanation:
[tex]0.17 + \cfrac{(0.68-0.17)(20- (-14.4))}{-21.3- (-14.4)} =[/tex]
[tex]0.17 + \cfrac{0.51(20+14.4)}{-21.3+14.4} =[/tex]
[tex]0.17 + \cfrac{0.51*34.4}{-6.9} =[/tex]
[tex]0.17 - \cfrac{17.544}{6.9} =[/tex]
[tex]\cfrac{17}{100} - \cfrac{17544}{6900} =[/tex]
[tex]\cfrac{17*69-17544}{6900} =\\[/tex]
[tex]-\cfrac{16371}{6900} =[/tex]
[tex]-\cfrac{5457}{2300} =[/tex]
[tex]-2\cfrac{857}{2300}[/tex]
HELP PLEASE WILL GIVE BRAINLISET
Answer:
300 calories
Explanation:
ran total : 11,775 feetperimeter of circle : 2 π rHere radius:
diameter/2150/275 ftperimeter of track = 2 π r = 2 (3.14) (75) = 471 ft
total laps ran:
11,775/47125 lapsSo calories burnt:
25* 12300 caloriesAnswer:
300 calories
Step-by-step explanation:
Circumference of a circle = πd
(where d is the diameter)
Given:
d = 150 ftπ = 3.14Substitute the given values into the formula to find the circumference (length of one lap):
⇒ Circumference = 3.14 × 150 = 471 ft
Given:
Total distance run = 11,775 ft⇒ Total laps = total distance run ÷ circumference
= 11775 ÷ 471
= 25
Given:
Calories burnt per lap = 12⇒ Total calories burnt = total number of laps × cal burnt per lap
= 25 × 12
= 300 calories
can you help me with this
Answer:
the anwer is b
I did the math
I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!
1. The table shows values of a function f (x). What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
x | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
f(x) | -4 | -2 | 8 | 10 | 11 | 14 | 18 |
2. Given [tex]f(x)=4x^2 +6x[/tex] and [tex]g(x)=2x^2 + 13x + 15[/tex], find [tex](\frac{f}{g})(x).[/tex] Show your work.
3. Given[tex]f(x)=x^2 - 6x + 8[/tex] and [tex]g(x)=x-2[/tex], solve [tex]f(x)=g(x)[/tex] using a table of values. Show your work.
Much thanks and appreciation!
Answer:
y=0.9x-45
Step-by-step explanation:
When you substitute the values of x you have to get same values as given in the table
For example: substitute x=50 in the equation y=0.9x-45
Y= 0.9(50)-45
Y= 45-45
Y=0
Step-by-step explanation:
1,200 and 11 and you will get 13,200
Answer:
That is true!
[tex]1,200 * 11 = 13,200[/tex]
Let me know if you need more help with multiplication. I may be able to help.
Have a great day.
ANSWER QUICK PLS!!! LOTS OF POINTS!!!
Answer:
x = 8
Step-by-step explanation:
∠M = ∠K7x - 4 = 5x + 122x = 16x = 8Answer:
x = 8
m∠M = 52°
m∠K = 52°
m∠L = 128°
m∠J = 128°
Step-by-step explanation:
If the given shape is a parallelogram, its opposite interior angles are equal.
⇒ m∠M = m∠K
⇒ 7x - 4 = 5x + 12
Subtract 5x from both sides:
⇒ 2x - 4 = 12
Add 4 to both sides:
⇒ 2x = 16
Divide both sides by 2:
⇒ x = 8
Substitute found value of x into the expressions for each angle to find the measures of the angles:
⇒ m∠M = 7(8) - 4 = 52°
⇒ m∠K = 5(8) + 12 = 52°
As the angles on the same side of the transversal in a parallelogram sum to 180°, then
⇒ m∠J + m∠M = 180°
⇒ m∠J = 180° - m∠M
⇒ m∠J = 180° - 52°
⇒ m∠J = 128°
As m∠L = m∠J then m∠L = 128°
Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.
If Moses ran 8 laps, how many laps did Louis run?
If the record time was 29 in 2015 and now the record time is 25 in 2019 what is the rate of change
**WILL GIVE BRAINLIEST** please help me
Answer:
SORRY
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