Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric
2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b
P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY
Answers
Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
It is provided that:
Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.The probability of tail in both cases is:
[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex](1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]
Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Answer:
Answer is C
Step-by-step explanation:
The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)
Related Questions
The shape has an area of 60 square inches. Find the value of x.
Answers
Answer:
5 inches
Step-by-step explanation:
A=bh
A=bx
60=12x
12x=60
x=5
Answer:
x = 5 In.
Step-by-step explanation:
The area of a parellelogram is usually basically the same as that of a rectangle or square. So the equation for the area of this parellogram is 60/12.
That would give you 5 which makes x equal to 5 inches.
What is the greater of -5
Answers
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
Answers
Answer:
Please mark be brainliest and I hoped this helped!
x = 45°
Step-by-step explanation:
Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.
Answer:
Step-by-step explanation:
j
what is the discriminant of f(x)=-x^2-x+5?
a.-21
b.0
c.2
d.21
Answers
Answer: d. 21
Step-by-step explanation:
The formula to find a discriminant is b^2-4ac.
ax^2+bx+c is the quadratic equation. In your equation, -1 is a, -1 is b, and 5 is c. Now we can plug in the numbers into the discriminant formula b^2-4ac!
(-1)^2-4(-1)(5)=
1-4(-5)
1+20
21
The discriminant is 21.
Hope this helps!
100 points, will give brainliest!
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦.
What is the value of x?
Thank you so much for helping!
Answers
Hope you are doing well
Answer:
x=17
Please help me this is due in less than 45 minutes!
Answers
Answer:
1.) It's 20th century painting
2.) 0.5 probability
Step-by-step explanation:
If the universal = 60
We need to first get the value of X. That is,
x (x - 2) + x + 2x + 8 + 10 = 60
First open the bracket
x^2 - 2x + x + 2x + 8 + 10 = 60
x^2 + x + 18 = 60
x^2 + x - 42 = 0
Factorise the above equation
x^2 + 7x - 6x - 42 = 0
x (x + 7) -6(x + 7) = 0
x = 6 or - 7
Since x can't be negative, so we will ignore -7
The value for T = 6(6 - 2) = 6×4 = 24
The value for B = 2(6) + 8 = 12 + 8 = 20
If a painting is chosen from random,
If it's from 20th century, the probability will be 34/60 = 0.567
If it's from British painting, the probability will be 30/60 = 0.5
We can therefore conclude that it's from 20th century painting since it has higher value of probability.
The the probability of choosing a British painting will be 30/60 = 0.5
Find the value of x please!!
Answers
Answer:
x = 9
Step-by-step explanation:
[tex]\frac{12}{8} = \frac{x}{6}[/tex]
x = [tex]\frac{12}{8}[/tex] x 6 = 9
Kiran says we should add the constraint 1 is greater than or less than 0
1. What is the reasoning behind this constraint?
-
2. What other "natural constraint" like this should be added?
Answers
You bought groceries last week. You used coupons and saved 25% on your grocery bill. You saved $8.80. How much was your bill before coupons?
Answers
Answer:
$35.2
Step-by-step explanation:
% saved = 25%
Money saved = $8.80
Let x be the bill before the coupon discount.
25/100 × x = 8.80
x = $35.2
Please help me with 3 more questions ill give good ratings please!
Answers
Answer:
(- 32, - 16 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is
(- 8, - 4 ) → (4(- 8), 4()- 4)) → (- 32, - 16 )
solve for y please !
Answers
Answer:3
Step-by-step explanation:
Find the sum of the first 48 terms of the following series, to the nearest integer7,11,15,...
Answers
Answer:
7
Step-by-step explanation:
The sum of first 48 terms of the given series is 4848.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form sum of n terms of arithmetic sequence is Sₙ=n/2[2a+(n-1)d].
The given arithmetic sequence is 7,11,15,......
Here, a=7, d=11-7=4 and n=48
Now, S₄₈=48/2[2×7+(48-1)×4]
= 24(14+47×4)
= 24(14+188)
= 24×202
= 4848
Therefore, the sum of first 48 terms of the given series is 4848.
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A key code must contain 4 numerals. There are 10 numerals available. Using
these numerals, how many different key codes may be created?
O A. 180
O B. 210
O C. 3,060
O D. 5,040
Answers
Answer:
C
Step-by-step explanation:
James is 5'10", Emily is 5'7", Ruby is 6'0", Chad is 6'0", Russell is 5'10", and Ariel is 5'9". What is the median height of the people? A. 5'10 B. 5'9 C. 6'0 D. 5'10 and 6'10
Answers
Answer:
A 5'10
Step-by-step explanation:
You have to put the heights in order from least to greatest
5'7, 5'9, 5'10, 5'10, 6'0, 6'0
The middle number is your median. Since there is and even amount of numbers you add the two that are in the middle the divide the sum by two
5'10 + 5'10 = 11'8
11'8 ÷ 2 = 5'10
Mrs. Smith decides to build her own vegetable garden. She goes to Home Depot and buys material to
build beds for the vegetables she'll grow. The beds are big wooden boxes. Each bed is 10 feet long, 5 feet
wide, and 1 % feet tall. She builds 4 beds for her vegetable garden and fills each bed with dirt. The bags
of dirt each contain 1.5 ft of dirt. How many bags of soil did Mrs. Smith buy to fill all 4 beds?
Answers
Answer: 4 bags
Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.
The length of a rectangle is 9 inches longer than the width. If the area is 205 square inches, find the
rectangle's dimensions. Round your answers to the nearest tenth of an inch.
Answers
Answer:
L=19.5in w=10.5in
Step-by-step explanation:
Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9
Area is (width)(Length) = (width)(width+9)
W
----------
| |
| |
| | L = w+9
| |
| |
-----------
A = (w+3)(w)
A = w2 + 9w = 205.
(Problem states that area is 205 sq in)
Need to solve this quadratic equation
w2 + 9y - 205 = 0
Factor:
(w - 10.51) (w + 19.51) = 0
So
w - 10.51 = 0. or. w + 19.51 = 0
Solve these and get
w = 10.51. or. w = -19.51
Only one that makes sense in real life is the positive one.
So the dimensions are
Width = 10.51 inches
Length = 19.51 inches
find the distance between 6,-2 and 1,-2
Answers
The distance between (6,-2) and (1,-2) is 5.
Answer:
The distance:
[tex]d = 5[/tex]
Step-by-step explanation:
To find the distance between points [tex](6,-2)[/tex] and [tex](1,-2)[/tex], you need the distance formula:
[tex]d = \sqrt{(x_{2} - x_{2})^{2} + (y_{2} - y_{1})^{2}}[/tex]
-Use the given points [tex](6,-2)[/tex] and [tex](1.-2)[/tex] for the distance formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
-Then, solve the formula:
[tex]d = \sqrt{(1 - 6)^{2} + (-2 + 2)^{2}}[/tex]
[tex]d = \sqrt{(-5)^{2} + (0)^{2}}[/tex]
[tex]d = \sqrt{25 + 0^{2}}[/tex]
[tex]d = \sqrt{25 + 0}[/tex]
[tex]d = \sqrt{25}[/tex]
[tex]d = 5[/tex]
So, the distance is [tex]5[/tex].
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab? Round your answer to the nearest mile.
Answers
Answer:
11.6 should be your answer!
Step-by-step explanation:
Im so sorry if its wrong!
Hope this helps!!
( > .< )
Answer:
34 miles
Step-by-step explanation:
3.50 + 1.65m <60
1.65m< 60-3.50
1.65m<56.5
1.65m/1.65< 56.5/1.65
m<34.24242424
m<34
HELP ASAP!
A health insurance provider had net incomes of $356 million, $460 million and -$166 million in 3 consecutive years. What was the health provider's total net income for these three years?
Answers
Step-by-step explanation:
The total income would be $650 million.
In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth
Answers
Answer:
RT ≈ 16.48 units
Step-by-step explanation:
The measure of arc RT is calculated as
RT = circumference of circle × fraction of circle
= 2πr × [tex]\frac{118}{360}[/tex]
= 2π × 8 × [tex]\frac{118}{360}[/tex]
= 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )
The length of the arc RT is 8.23 units.
What are the properties of an arc?The characteristics of a circle's arc are:
Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:
length of arc RT = (0.3278) * (2 * π * radius)
where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:
length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π
Rounding to the nearest hundredth, we get:
length of arc RT ≈ 8.23 units.
Learn more about arc here:
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What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.
A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units
Answers
Answer: 63 square units
Step-by-step explanation:
Area of a parellelogram = b x h
7 x 9 = 63 square units
Answer:
63
The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9
7 x 9 = 63
Step-by-step explanation:
I will give brainliest answer
Answers
Step-by-step explanation:
inner region
A=πr^2
A=π*6^2
A=π*36cm^2
A=113.09cm^2
shaded region(outer)
A=πr^2
A=π*9^2
A=π*81cm^2
A=254.46cm^2
Area of shaded region=254.46cm^2-113.09cm^2
=141.37cm^2
Mark brianliest if my answer suit your question
Radius of the outer circle = 9cm
Area of a circle = πr²
= π×9×9
= 254.34cm²
Radius of the inner circle = 6cm
Area of a circle = πr²
= π×6×6
=113.04cm²
Therefore, area of the shaded region = 254.34-113.04
=141.30cm²
A tree casts a 204 centimeter shadow. A person next to the tree casts a 85 centimeter shadow. If the person is 154 centimeters tall, how tall is the tree to the nearest centimeter?
Answers
Answer
would it be 135?
Step-by-step explanation:
A train travels at a speed of 45 kmph. In 48 minutes, how much distance will it travel? ( with explanation )
Answers
Answer:
36 km
Step-by-step explanation:
By dividing 45 by 60 you make it into .75 per minute therefore by multiplying by 48 you get your answer which is 36 km
Answer:
36 km
Step-by-step explanation:
We are given a speed in km per hour. Since 1 hour = 60 minutes, we can find the speed in km per minute.
45 kph = 45 km/hour = 45 km/(60 minutes) = 0.75 km/minute
Now that we know the speed in km per minute, we multiply the speed by 48 minutes to find the distance traveled in 48 minutes.
0.75 km/minute * 48 minutes = 36 km
Joshua's total monthly income is $2850. His rent is $750, his car payment is $350, his car insurance is $117, and his renters insurance is $58. How much money does Joshua have left after he pays his fixed expenses? Enter the answer as a whole number, such as: $500
Answers
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected?
Answers
Answer:
15 minutes more, as 60-45mins = 15 minutes
Step-by-step explanation:hope it helps
It will take 15 more minutes for the journey than the expected.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
The distance from Raj's house to the airport is 30 miles.
He expects the taxi to travel at an average speed of 40 mph.
If he travels at a speed of 40 mph, let t be the time taken.
Speed = Distance / Time
40 = 30 / t
t = = 0.75 hours = 45 minutes
If Raj's taxi actually travels at an average speed of 30 mph, let t' be the time taken.
30 = 30 / t'
t' = 1 hour = 60 minutes.
t' - t = 60 - 45 = 15 minutes
Hence the journey takes 15 more minutes than expected.
To learn more about Speed, click :
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What is the equation of the line that passes through the point (-7,-1) and has a slope of 1?
Answers
Answer:
Step-by-step explanation:
y + 1 = 1(x + 7)
y + 1 = x + 7
y = x + 6
please help asap. I will award
Answers
Answer:
12
Step-by-step explanation:
hope this helps! :)
Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answers
Answer:
Popcorn = $4.25 per bag, Drink = $8.75
Step-by-step explanation:
p = popcorn
d = drinks
10p + 10d = 130
3p + 5d = 56.50
multiply the second equation by -2 and then solve by elimination
-6p - 10d = -113
4p = 17
p = 4.25
3(4.25) + 5d = 56.50
5d = 43.75
d = 8.75
Answer:
10x + 10y = $130.00
3x + 5y = $56.50
Solution: x=4.25 and y=8.75
Step-by-step explanation:
The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink. First we can solve 10x + 10y = 130 for x:
10x + 10y = 130
10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)
10x = -10y + 130
Now divide 10 by both sides
x = -y + 13
Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:
3x + 5y = 56.5
3(-y + 13) + 5y = 56.5
2y + 39 = 56.5 (Simplify both sides of the equation)
2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)
2y = 17.5 (Now divide both sides by 2)
y = 8.75
You can check this by substituing 8.75 for y in x = -y + 13
Determine the number of real solutions to the quadratic equation 5a2−6a+10=0.
Select the correct answer below:
0 real solutions
1 real solution
2 real solutions
Answers
Answer:
There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.
Step-by-step explanation:
We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.
If pa² + qa + r = 0 and p > 1.
Thus, D = q² - 4pr.
If D > 0, then the equation has 2 real solutions.
If D = 0, then the equation has 1 real solution.
If D < 0, then the equation has 0 real solutions.
We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:
p = 5
q = -6
r = 10
D = q² - 4pr
D = (-6)² - 4(5)(10)
D = 36 - 200
D = -164
D < 0
Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.
I hope this helps! Sorry if my English didn't really help with having a clearer explanation.
