an industry representative claim that 60% of all satellite owners subscribers movie channel. suppose that representative’s claim is true and also suppose that 20 dish owners are randomly selected. find the probability that: (i) none of the dish owners subscribes movie channel (ii) exactly 3 dish owners subscribe movie channel (iii) more than 17 dish owners subscribe movie channel.
Answer:
1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036
Step-by-step explanation:
Given :
p = 0.6
Sample size, n = 20
P(x = 0)
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
1 - p = 1 - 0.6 = 0.4
P(x = 0) = 20C0 * 0.6^0 * 0.4^20
P(x = 0) = 1 * 1 * 1.099511627776E−8
P(x = 0) = 1.099 * 10^-8
2) Exactly 3;
P(x = 3) = 20C3 * 0.6^3 * 0.4^17
P(x = 3) = 1140 * 0.216 * 0.00000017179869184
P(x = 3) = 0.0000423037098786816
P(x = 3) = 4.23 * 10^-5
3.) More than 17
P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)
Using calculator :
P(x > 17) = 0.0036
Which expression below has the dame
6
value as 9
9•6
9•9•9•9•9•9
96
6•6•6•6•6•6•6•6•6
HELP ME WALLAHI PLS
Answer:
14
Hope it helped!
6
x
−
5
y
=
14
Find
x
when
y
=
2
Answer:
4
Step-by-step explanation:
Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon how many miles did he run in all
Answer:
101/40 miles or 2 21/40
Step-by-step explanation:
You add the two values together.
Answer:
2 21/40
Step-by-step explanation:
If a leaky faucet drips one ounce of water per minute approximately how many gallons per day is that
Answer:
Step-by-step explanation:
1hr=60mins
24hrs in a day
1hr=60oz
60oz x 24hrs =1440 oz
1440oz = 11.25gal
PLEASE MARK BRAILIEST
negative number that is greater than -10
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
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pls help!!!! i will give brainly!!!!
Two quantities are related, as shown in the table:
x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship? (4 points)
y = 1 over 2x + 2
y = 1 over 2x + 1
y = x + 2
y = 2x + 1
9514 1404 393
Answer:
(a) y = 1/2x + 2
Step-by-step explanation:
The only equation that matches the first table entry is ...
y = 1/2x +2
3 = (1/2)(2) +2 . . . . first table entry
Reflection over the x axis ;vertical shift down 7 units
Solve for x: X/11-6≥-20
Answer:
[tex]\huge\boxed{\sf x \geq -154}[/tex]
Step-by-step explanation:
Given inequality:[tex]\displaystyle \frac{x}{11} - 6\geq -20[/tex]
Add 6 to both sides
[tex]\displaystyle \frac{x}{11} \geq -20+6\\\\\frac{x}{11} \geq -14[/tex]
Multiply both sides by 11
x ≥ -14 × 11
x ≥ -154[tex]\rule[225]{225}{2}[/tex]
Hello !
Answer:
[tex]\Large\boxed{\sf x\ge -154}[/tex]
Step-by-step explanation:
Let's solve the following inequality :
[tex]\sf \frac{x}{11}-6\ge -20[/tex]
Add 6 to both sides :
[tex]\sf \frac{x}{11}-6+6\ge -20+6[/tex]
[tex]\sf \frac{x}{11}\ge -14[/tex]
Multiply both sides by 11 :
[tex]\sf \frac{x}{11}\times 11\ge -14\times 11[/tex]
[tex]\boxed{\sf x\ge -154}[/tex] or [tex]\sf x\in [-154, +\infty)[/tex]
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Have a nice day
A first year student deposits $250 into a savings account at the Owl Credit Union at Dundalk High School paying an annual interest rate of
2%. If the money remains untouched until graduation, how much money will they have in 4 years? Round your answer to the nearest cent
or dollar and enter the amount in the space below.
Amount in 4 years: S
Ater 4 years, the first year student will have $270.60 in their savings account using compound interest and the given principal amount.
What distinguishes compound interest from simple interest?When money is deposited or borrowed, simple interest is calculated on the initial sum, whereas compound interest is computed on the initial sum plus any interest gained. Simple interest simply applies the interest rate once to the starting sum; compound interest applies it numerous times to both the principle and any accrued interest. When interest is paid on interest, compound interest often yields a bigger return on investment over time than simple interest.
The compound interest is given by the formula:
[tex]A = P(1 + r/n)^{(nt)}[/tex]
where,
A is the amount of money after 4 years
P is the initial deposit of $250
r is the annual interest rate of 2% = 0.02.
n = 1 and
t = the number of years = 4.
Substituting the values we have:
[tex]A = 250(1 + 0.02/1)^{(1*4})\\A = 250(1.02)^4\\A = 250(1.0824)\\A = 270.60[/tex]
Hence, after 4 years, the first year student will have $270.60 in their savings account.
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Find the sum of the following series. Round to the nearest hundredth if necessary. 4 + 24 + 144 +... + 6718464
Answer:
Your answer is 264
Step-by-step explanation:
The formula: y-y1 = m (x-x1) is known as:
Answer:
point slope form.
Step-by-step explanation:
this is different from slope intercept form. use these when dealing with cartesian graphs using slope and points along x, y
help ASAP
10 POINTS
find surface area and volume
I NEED HELP PLEASE FASTTT 100 COINS
Answer:surface area is 24
Step-by-step explanation:
Answer:
I think 1.5 i could be wrong is there options?
Step-by-step explanation:
complete the ratio table below
opposite of puring 8 gallons of water into a fish tank
Answer:
pure out 8 gallons
Step-by-step explanation:
Im big brain.
Step-by-step explanation:
removing 8 gallons of water from a fish tank
7x-8<4x+7 solve for x
Answer:
5
Step-by-step explanation:
Whats the value of x
120°
(2x – 10)°
The Jones family want to enclose the garden with a fence. To the nearest foot (round to the nearest whole number), how much fencing will they need to buy?
Answer:
hey hun, I think u need to give us more information on the question. Is that the full question ??
one of sam's best customer spend 250.00 each month in sam's shop. She say that is roughly 5% of her monthly income. How much does she make each month.
Answer:
5,000
Step-by-step explanation:
x× 5 %=250
x=250×100÷5=5000
If Julie had 10 bags of apples that has 5 apples in it and she took out 3 apples from 1 bag, how many apples does she have
Answer:
47 apples
Step-by-step explanation:
50 apples - 3 apples
47 apples
Answer:
56 apples
Step-by-step explanation:
answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF
A game is packaged in a box. Each game cube has a side length of 3 inches. How many
games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet?
Answer:
n = 120
Step-by-step explanation:
Given that,
Side length the cube = 3 inches = 0.25 feet
We need to find the number of games can be packed inside of a box whose dimensions are 5 foot by 3 foot by 2 feet.
Let there are n games.
[tex]n=\dfrac{\text{Volume of box}}{\text{Volume of the game}}\\\\=\dfrac{5\times 3\times 2}{0.25}\\\\n = 120[/tex]
Hence, there are 120 games packed inside the box.
_ divided by 4= _ remaider 5
Answer:
20 / 4 =5
Step-by-step explanation:
I think
HELP! Whoever gets it right gets brainliest!!
Answer:
D infitently Many
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
Find the missing side or angle.
Round to the nearest tenth.
A=78°
b=2
C=4
a=[ ? )
Answer:
[tex]a=4.1[/tex]
Step-by-step explanation:
The Law of Cosines is given as:
[tex]a^2=c^2+b^2-2cb\cos A[/tex].
Plugging in given values, we get:
[tex]a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}[/tex].
Answer:
The answer for Acellus people is a=4.1
Step-by-step explanation:
Determine the value of y.
Question 9 options:
A) 45°
B) 27°
C) 24°
D) 135°
Answer:135
Step-by-step explanation:all you have to do is to multiply 45 2 times and you will get the answer
Since y is 27, the value of angle 5y will be 135°.
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees.
Given 5y and 45° angles are supplimentry angles
Two angles are called supplementary when their measures add up to 180 degrees.
Thus,
5y + 45 = 180
5y = 135
y = 27°
therefore, the value of angle 5y will be 135° since y is 27.
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Use the diagram to derive the law of cosines. Fill
in the missing statements in the derivation
Answer:
2: a2-x2
4: b2-2bx+x2
6: -2bx
Step-by-step explanation:
The following procedure will be
1. a²=h²+x²
2. h²= a²-x²
3. c² = h² + (x-b)²
4. c² = h² + x² + b² -2xb
5. c² = a²-x² + x² + b² -2xb
6. c² = a² +b² -2xb
7. x = a CosC
8. c² = a² +b² -2ab CosC
TriangleTriangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Right angle triangle
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The following procedure will be
1. a²=h²+x²
2. h²= a²-x²
3. c² = h² + (x-b)²
4. c² = h² + x² + b² -2xb
5. c² = a²-x² + x² + b² -2xb
6. c² = a² +b² -2xb
7. x = a CosC
8. c² = a² +b² -2ab CosC
More about the triangle link is given below.
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