Answer:
The estimate for the amount of tails is 146.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The probability of a head is 0.27.
This means that the probability of tails is [tex]p = 1 - 0.27 = 0.73[/tex]
The coin is thrown 200 times.
This means that [tex]n = 200[/tex]
Write an estimate for the amount of tails
This is the expected value, so:
[tex]E(X) = np = 200*0.73 = 146[/tex]
The estimate for the amount of tails is 146.
(b)
In how many months will Rs 4800 amount to Rs 5760 at 2 paisa per rupee per
month?
Answer:
This amount will be reached in 1 year and 2 months, that is, in 14 months.
Step-by-step explanation:
Given that 1 paisa is 1 cent of a rupee, at an increase of 2 paisa per rupee per month we are talking about an interest of 2% per month, which annualized is equal to 24% per year (12 x 2).
Thus, given that the initial amount is Rs $ 4800, to determine the period of time in which said interest will take the amount to Rs $ 5760 it is necessary to perform the following calculation:
4800 x 1.02 x X = 5760
4896 x X = 5760
X = 5760/4896
X = 1.17
Thus, this amount will be reached in 1.17 years, with which to calculate the number of months the following calculation must be performed:
1 = 12
0.17 = X
0.17 x 12 = X
2 = X
Thus, this amount will be reached in 1 year and 2 months, that is, in 14 months.
Please help pleasseee
Step-by-step explanation:
hope this is correct.......
Answer:
M = 26
Step-by-step explanation:
4m + 3m - 5 + 3 = 180 degree
7m -2 = 180 degree
7m = 180+2
7m = 182
m = 182/7
m = 26
26 x 4 - 5 = 104 - 5 = 99
26 x 3 +3 = 78+ 3 = 81
8. Which of the following Mathematical expressions is equivalent to a cubed of a number x increased by
ten" ?
A. 3x + 10
B. 10x3
C. x3 – 10
D. x3 + 10
Answer:
B
Step-by-step explanation:
a. A 5in radius ball is in a
box such that all six sides of
the box are touching the ball.
What percent of the space in
the box is being taken up by
the ball?
Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.
[tex] V_{ball} = \frac{4}{3} \pi r^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14(5)^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14\times 125 [/tex]
[tex] V_{ball} = \frac{1,570}{3}\: In^3 [/tex]
[tex] V_{box} =l^3 [/tex]
[tex] V_{box} =(10)^3 [/tex]
[tex] V_{box} =1000\: In^3 [/tex]
Percentage of the space in the box occupied by the ball
[tex] = \frac{V_{ball}}{V_{box} } \times 100 [/tex]
[tex] = \frac{\frac{1,570}{3}}{1000} \times 100 [/tex]
[tex] = \frac{1570}{3000} \times 100 [/tex]
[tex] = \frac{157}{3} [/tex]
[tex] = 52.33\% [/tex]
Evaluate each expression using the value w=4, a=2, and h=5
Equation is:
6w+2a
Answer:
6w + 2a = 28
Step-by-step explanation:
the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.
first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.
plug in 4 for w.
6w + 2a
6(4) + 2a
now plug in 2 for a.
6(4) + 2a
6(4) + 2(2)
after plugging in the values, your expression is 6(4) + 2(2).
all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).
6(4) + 2(2)
24 + 2(2)
continue simplifying by multiplying 2(2).
24 + 2(2)
24 + 4
now add 24 + 4.
24 + 4 = 28
so, when w = 4 and a = 2, 6w + 2a = 28.
you can check the answer by plugging those values for a and w back into the completed equation.
6w + 2a = 28
6(4) + 2(2) = 28
24 + 4 = 28
28 = 28
since both sides of the equation are equal, that means that your answer of 28 is correct! :)
i hope this helps! have a great day <3
PLSSS SHOW UR WORK AND HOW YOU GOT THE ANSWER FOR THIS also help me quickly pls!!
Delroy is going to a dog adoption day at his local animal shelter. he wants to make 4 batches of the biscuits for the dogs. how many cups of margarine will he need?
Which measurements are for a rectangle with an area of 16 square units?
4 units wide, 2 units long
2 units wide, 6 units long
4 units wide, 3 units long
2 units wide, 8 units long
Answer:
2 Units wide , 6 units long
Escribe y Resulve la inecuación
Una cuenta de ahorro aumentada en $ 70 es ahora más de $ 400.
Deje que el dinero en la cuenta de ahorros sea 'x'.
Entonces, el dinero en la cuenta después de que se aumentó = x+70
Dado :
▪︎El dinero en la cuenta después de que se aumentó es mayor que 400.
Las declaraciones dadas anteriormente se pueden escribir en una desigualdad como :
[tex] =\tt x + 70 > 400[/tex]
Resolvamos esta desigualdad :
[tex] = \tt \: x + 70 > 400[/tex]
[tex] = \tt \: x > 400 - 70[/tex]
[tex]\color{plum} =\tt x > 330[/tex]
▪︎Por lo tanto, la desigualdad es = x > 330
What does the "s" in the following expression represent: 24 + s
Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms.
each one would be two and a half inches
A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path? A. 10 yd. B. 250 C. 50 yd. D. 5000
Answer:
B) 250Step-by-step explanation:
Hope this helps!!
Answer: its 5000 i got it right
Step-by-step explanation:
SHOW YOUR WORK/SHOW HOW YOU GOT YOUR ANSWER
Ella has $35 in her bank account. She deposited a check for $140 and then withdrew $80. How much money is left in her bank account?
Family A and Family B both have 8 people in their family. The ages of each member is listed below Which statement is correct about the variability of the two families. Family A: 35,5.42, 9.16, 3,8 12 Family B: 1, 5, 29.3, 7, 35, 6,9
Answer:
in family a you multiply by 7
In family b you multiply by 3
Step-by-step explanation:
Sorry if im wrong I should be right if im not then im really sorry :):(
Answer:
family A has greater variability
Step-by-step explanation:
Given quadrilateral ABCD, find the values for x and y.
x = 4, y = 6
x = 34, y = 56
x = 1067, y = 223
x = 627, y = 1109
Answer:
x = 4, y = 6
Step-by-step explanation:
Consider the triangle BEC.
∠BEC=112 (vertically opposite angles)
∠EBC=∠ECB (BEC is an isosceles triangle)
All the angles in a triangle add up to 180, so:
∠BEC+∠EBC+∠ECB=180
112+(7x+6)+(7x+6)=180
14x=180-112-6-6
x=56/14=4
Consider the triangle CED
∠CED=68 (lies on a straight line with 112, angles on a straight line add up to 180)
∠EDC=∠ECD (CED is an isosceles triangle)
All the angles in a triangle add up to 180, so:
∠CED+∠EDC+∠ECD=180
68+(9y+2)+(9y+2)=180
18y=180-68-2-2
y=108/y=6
The value of x and y for quadrilateral ABCD is at x = 4 and y = 6. Option A is correct.
What are quadrilaterals?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Given quadrilateral ABCD,
Consider the ΔBEC.
∠BEC = 112 (vertically opposite angles)
∠EBC=∠ECB
ΔBEC is an isosceles triangle because BE = EC.
the sum of angles of a triangle is 180°,
∠BEC + ∠EBC + ∠ECB = 180°
112 + (7x + 6) + (7x + 6) = 180°
14x = 180 - 112 - 6 - 6
x = 56/14
x = 4
Consider the ΔCED
∠CED = 68
lies on a straight line with 112°, and angles on a straight line add up to 180°.
∠EDC = ∠ECD
ΔCED is an isosceles triangle because DE = CE.
the sum of the angles of a triangle is 180°
∠CED + ∠EDC + ∠ECD = 180°
68 + (9y + 2) + (9y + 2) = 180°
18y = 180 - 68 - 2 - 2
y=108/18
y = 6
Hence values of x = 4 and y = 6.
Learn more about quadrilaterals
https://brainly.com/question/13805601
#SPJ6
Write 45.21% as a decimal
Answer:
.4521
Step-by-step explanation:
when converting a percentage to a decimal you have to move the decimal point over two times to the left. do if you have 100% you moved the decimal point over two and get 1.00
Answer:
0.4521
Step-by-step explanation:
Instead, you can simply multiply a number by 45.21 as a decimal to get the answer.
45.21 percent means 45.21 per hundred. Therefore, to get 45.21 as a decimal, all you have to do is divide 45.21 by 100 like so:
45.21 ÷ 100 = 0.4521
Shortcut: When you divide anything by 100, just move the decimal point two places to the left.
Normally, to calculate 45.21 percent, you would multiply a number by 45.21 percent and then you would take the product of that and divide it by 100 to get the answer.
(hope this helps can i plz have brainlist :D hehe)
[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me
Answer:
What do you want your answer in? Exact or decimal form?
Exact form: 212/3
Decimal form 70.6
Step-by-step explanation:
Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.
It is important to comparison shop when purchasing a car.
What does comparison shop mean?
-Always buy from a
local dealership
-Take several photos to
use for comparison
-Compare the price &
quality from different
vendors
-Compare the true
market value of every
vehicle
Answer:
Compare price and quality
Step-by-step explanation:
I did this test
Answer:
option c
Step-by-step explanation:
comparing the price and quality from different vendors is important as we are giving a money we should be sure enough that quality is also as much the money
Help on this will mark brainalist!
Answer:
y = 2x - 10
Step-by-step explanation:
Slope-intercept form is...
y = mx + b
To get the slope, you have to use the formula...
(y2 - y1) / (x2 - x1)
In this case,
y2 = 2
y1 = 10
x2 = 6
x1 = 10
So...
(2 - 10) / (6 - 10)
= -8 / -4 = 2
Therefore, slope is 2
y = 2x + b
Using any of the two x and y value provided, input the values in the equation
(I'm going to use 6,2)
2 = 2(6) + b
2 = 12 + b
b = -12 + 2
b = -10
Put this all together...
y = 2x - 10
Hope this helps :)
Let me know if there are any mistakes!!
Help plzzzzzzzzzz will mark brainilest
Answer:
Group B has the higher median by 0.5 inches. The IQR for Group A is smaller. IQR for Group B is 2 inches.
Which expression shows a “7” NOT as a coefficient?
4x - 7y
7x + 8y
7(x + 9)
7 +5x
Answer:
7 + 5x
Step-by-step explanation:
there is no variable behind the 7
A coefficient is a number multiplied by a variable.
7 +5x
Because in this expression 7 doesn't have a variable
Please MARK me as brainlist
Anna needs to purchase some new clothes. for each pair of jeans she will buy three sweaters. how many sweaters can she purchase if she has $255?
jeans cost: $40 each
sweaters cost: $15 each
use elimination method for solving systems of equations.
Answer:
3
Step-by-step explanation:
each time Anna purchased a pair of jeans she spends 40+15(3)=40+45=$85, including the sweaters. to find how many jeans and sweaters she buys $255÷$85=3
Kenny uses 1/16 of chocolate syrup bottle for every scoop of ice cream eaten how many scoops has he eaten for 2 3/4 syrup
Answer:
Answer: Kenny has eaten 44 ice cream scoops.
Answer:
Kenny has eaten 44 ice cream scoops
Step-by-step explanation:
I did this quiz before and give Brainliest
Q1. Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 576 skiers per hour at the top of the slope. (A triple chair lift can carry three passengers per chair.) If 108 skiers are riding on the lift at any one time, how long does the ride from the bottom to the top take
Answer:
11.25minutes
Step-by-step explanation:
From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;
576skiers = 1hr
To determine the time it will take 108skier, we can write
108skier = x
Divide both expressions
576/108 = 1/x
576x =108
x = 108/576
x = 0.1875hr
Convert to minute
x = 0.1875×60
x = 11.25minutes
Hence it took the ride 11.25minutes
Work out the area of the shaded shape.
3cm
3cm
11cm
4cm
The diagram is not drawn to scale.
Answer:
I don't exactly know so just use a calculator.
Step-by-step explanation:
I think you multiply it all to get the answer.
Can someone please help me I don’t understand
Answer:
The ship is traveling at 25 mph
Step-by-step explanation:
12.5/0.5=25
25/1=25
37.5/1.5=25
The speed is constant (25) so the ship is moving at 25 mph
The perimeter of a shape shows a car racing track, how far does a car travel in a race which consists of 23 laps 1.2km , 1.2 km 1.2km
Answer:
110.4km
Step-by-step explanation:
1 lap is equal to 4.8
4.8×23=110. 4
(Need someone to confirm)
at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students not taking either. if a student is randomly selected from the other school, what is the probability that they are taking chemistry or physics?
Answer:
24/16 (not simplified nor teacher checked)
Step-by-step explanation:
What you would need to do is add up all of the students that are taking chemistry, physics, or both. Then place that number in a divsion form.
10+9= 19+5=24
16
24/16
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
what is estimate the product of 19.8 and 5 by grounding each factor to nearest whole number
Given:
The two numbers are 19.8 and 5.
To find:
The estimated product of given numbers by rounding each factor to nearest whole number.
Solution:
Two number are 19.8 and 5.
On rounding the given numbers to the nearest whole number, we get 20 and 5.
Now, the estimated product is
[tex]20\times 5=100[/tex]
Therefore, the estimated product of given numbers is 100.
HELP PLEASEEEEEEEEEEEEEE
Answer:
I think it's B 121.5
Step-by-step explanation:
I don't feel like explaining how I got that
Common ratio of 1/2,1,2,4,8
Step-by-step explanation:
common ratio (r) = second term÷first term
