Answer:
[tex]P(head) = 0.5600[/tex]
Step-by-step explanation:
Given
[tex]n = 500[/tex] -- number of toss
[tex]head = 280[/tex] --- outcomes of head
See comment
Required
Empirical probability of head
This is calculated as:
[tex]P(head) = \frac{n(head)}{n}[/tex]
[tex]P(head) = \frac{280}{500}[/tex]
[tex]P(head) = 0.5600[/tex]
A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 50 homeowners surveyed, the sample average was 5.1 and the sample standard deviation was 3.8. Calculate the 95% confidence interval for the true average number of homes that a person owns in his or her lifetime.
Answer:
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0096
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0096\frac{3.8}{\sqrt{50}} = 1.1[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 5.1 - 1.1 = 4
The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
What is the simple interest rate if $51.67 in interest is earned on a deposit of $1377.53 in one year?
Answer:
2666.01%
Step-by-step explanation:
Intrest=(PA)*I*T
1377.53=51.67*I*1
I=26.6601=2666.01%
Simplify Square root (150n^2)
Answer:
12
Step-by-step explanation:
May someone help with this one problem?
Answer:
x = -1/2
Step-by-step explanation:
We are given:
[tex]\frac{1}{3}=\frac{4x}{3}+1[/tex]
Subtract 1 on both sides:
[tex]-\frac{2}{3}=\frac{4x}{3}[/tex]
Then, multiply 3 on both sides:
[tex]-2=4x[/tex]
Finally, divide 4 on both sides:
[tex]-\frac{1}{2}=x[/tex]
Find an equation of the circle whose diameter has endpoints , (−6,−1) and (2,3).
Answer:
first... You think and Conceptualize
A diameter divides a circle into equal halves
We're given the end points of the Diameter.
With this we can fine the Center of the circle.
The End Points are
(-6, -1) and ( 2, 3)
Half-way through the diameter gives the center of the circle
So We'd apply the Mid-Point formula to get the co-ordinate of the center.
X= x₁ + x₂/2 , Y = y₁ + y₂/2
X = -6 + 2/2, Y = -1 + 3/2
X= -2. Y = 1
The Midpoint is (-2, 1)
The Radius would be the distance between the center and a point on the circumference.
We already have 2 points of the circumference (Which are the endpoints of the diameter).
So we can pick any of them arbitrarily.
I'd go with (2,3)
So We'd apply the distance between Points formula to get the magnitude of the radius
(-2,1) (2,3)
D = √(x₁ - x₂)² + (y₁ - y₂)²
D = √(-2-2)² + (1-3)²
D=√(-4)² + (-2)²
D=√20.
Our Radius is √20.
Equation of Circle =
(x-h)² + (y-k)² = r²
Where h and k are the center of the circle(-2,1)
(x-(-2))² + ( y - 1 )²= (√20)²
(x + 2)² + ( y - 1)² = 20
Our Answer
(x + 2)² + (y - 1)² = 20.
This should be it.
Have a great day!
!!!Please help!!!
What is the following quotient?
96
B
O 2.13
4.
2.V22
12
If 1/2 of a loaf of brown bread costs R6,how much will 2 halves cost
Step-by-step explanation:
1/2 is equal to R6.
So 2 halves mean R6+R6=R12
Or
R6×2= R12
Answer:R12
What is the length of the line?
2. Write the equation of the line in point-slope form.
(-1,3) and (2,9)
Answer:
y - 9 = 2 (x - 2)
Step-by-step explanation:
y2 - y1 / x2 - x1 9 - 3 / 2 - (-1) 6/3 = 2
y - 9 = 2 (x - 2)
If you multiply the sum of 546 and 1711 by zero, what will be your result?
Answer:
0
Step-by-step explanation:
any numbers multiply by zero always equals to zero
If a=2b=2c find the value of each.
Answer:
b=a/2
c=a/2
b=c
a=2b and a=2c
In how many years will the population of a town be 26901 from 24400 at the growth rate of 5% per annum ?
Answer:
2 years
Step-by-step explanation:
population in 1 year= 24400*105%=25620
population in 2 year= 25620*105%=26901
Find the surface area?
Answer:
Surface area of prism is 48km^2
B is the midpoint of line segment AD, and C is the midpoint of line segment BD. If AD = 12, what is BC?
A. 1.5
B. 3
C. 4
D. 6
Write the equation in slope-intercept form.
y+3 - 2(x-1)
Answer:
y = 2x - 5
Step-by-step explanation:
[tex]y+3=2(x-1)\\y+3=2x-2\\y+3-3=2x-2-3\\y=2x-5[/tex]
Michael is cutting logs. He has 3 logs. Michael will cut each log by. Determine the
number pieces of wood that Michael will have.
Answer:
Micheal will have 6 logs.
Step-by-step explanation:
Each log will divide into two pieces,so.
3×2= 6
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find y.
A. 16
B. 6
C. 18
D. 32
9514 1404 393
Answer:
B. 6
Step-by-step explanation:
The diagonals of a parallelogram intersect at their midpoints, so ...
DE = BE
4y -8 = y +10
3y = 18 . . . . . . . add 8-y
y = 6 . . . . . . . . divide by 3
__
Additional comment
The value of x is found the same way:
2x = x+2 ⇒ x = 2
im giving you 30 points just help me :((((((((
Find the length of the arc round your answer to the nearest 10th
Answer:
12.6
Step-by-step explanation:
Length of arc=(2*pi*r)*(theta/360)
Length of arc=(2*12*pi)*(1/6)=12.6
PLZ HELP ME I NEED HELP PLZZZ
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.
What is the theoretical probability of randomly drawing either a blue marble or a green marble?
36%
76%
19%
40%
Answer:
76%
Step-by-step explanation:
Total Outcomes (9 blue + 10 green)/Total options (9+10+6)
19/25
=76%
NEED HELP ASAP
David is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $60 fee for disposing of his old tires. If David has determined that he will spend less than $578.10 total, then what is the price range he can spend on the tire set?
Select one:
a.
Less than $471
b.
At least 475
c.
$471 or more
d.
Less than 476
Answer:
a. Less than $471
Step-by-step explanation:
The total price must be less than $578.10.
Let the price of the 4 tires = x.
He pays 10% tax on x. That means he pays x + 10%x = 1.1x including tax.
Then he pays the $60 fee.
He pays a total of 1.1x + 60
That must be less than $578.10
1.1x + 60 < 578.10
Subtract 60 rom both sides.
1.1x < 518.1
Divide both sides by 1.1
x < 471
Answer: a. Less than $471
PLEASE HELP
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
Y=-3x+1
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
The equation is already solved for y
It's in y = mx+b form where
m = -3 = slope
b = 1 = y intercept
The graph is shown below. It's a straight line through the two points (0,1) and (1,-2).
Note that (0,1) is the y intercept. We use the slope = -3 = -3/1 to move 3 units down and 1 unit to the right to arrive at (1,-2).
What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64?
(−8, 0)
(0, 8)
(8, 0)
(0, −8)
Answer:
(8,0)
Step-by-step explanation:
f(x) = x^2 − 16x + 64
The x intercepts ( or zeros) are found by setting y=0
0 = x^2 − 16x + 64
Factor
0 = (x-8)(x-8)
Using the zero product property
x-8 =0 x-8 =0
x=8 x=8
(8,0)
Answer:
8,0
edge 20201
Find the value of x
pls with all solution
Answer:
the value of x is 85
Step-by-step explanation:
x+x+40+2x-20=360
4x=360-20
4x=340
x=340÷4
x=85
Answer:
X+X+40+2x-20=360(being complete angle)
2x+40+2x -20= 360
4x+20=360
4x=360 - 20
4x= 340
X=340÷4
X= 85
now putting the value of X
X+40
85+ 40
125
2x-20
2×85-20
170- 20
150
hope this answer will help you if it did then make me brainliest.
The probability that there will be a tornado in Tulsa, Oklahoma, each day of the summer depends on the humidity of the day in question. If the air is dry on a given day, there is a 0.5 percent chance of a tornado in Tulsa, if the air is humid on that day. there is a 5 percent chance of a tomado. On July 1, 2019, local news reported that there was 40 percent chance of the air being humid. What is the probability that there was a
tornado in Tulsa on July 1, 2019?
a) 0.003
B) 0.020
C)0.023
D) 0.040
E) 0.060
We solve this question building the probabilities outcomes.
According to this, it is found that the probability is: 0.023, given by option C.
The probabilities are:
40% = 0.4 probability of the air being humid.If humid, 5% = 0.05 probability of a tornado.100 - 40 = 60% = 0.6 probability of the air being dry.If dry, 0.5% = 0.005 probability of a tornado.What is the probability that there was a tornado in Tulsa on July 1, 2019?
Two possible outcomes:
0.05 of 0.4(humid)0.005 of 0.6(dry)Thus:
[tex]p = 0.05\times0.4 + 0.005\times0.6 = 0.023[/tex]
0.023 probability, and the correct answer is given by option C.
A similar problem is given at: https://brainly.com/question/16967884
Two ice cream stands are deciding where to set up along a 1-mile-long beach. The people are uniformly located along the beach, and each person sitting on the beach buys exactly 1 ice cream cone per day from the nearest stand. Each ice cream seller wants the maximum number of customers. True or False: The two stands will most likely be 1/3 mile away from each other. True
Answer:
Each ice cream seller wants the maximum number of customers:
True
The two ice cream stands will most likely be 1/3 mile away from each other.
True
Step-by-step explanation:
This distance enables the two ice cream stands to give access to the maximum number of customers at the beach, which will be almost equal at their right-hand and left-hand sides. Therefore, the two ice cream stands will most likely be 1/3 mile away from each other. Such positioning exposes the ice cream stands to almost equal number of customers since the people standing along the beach are uniformly located. Taking the extreme locations along the 1-mile-long beach will shrink location opportunities for both stands.
Can someone help please
( x - 2 )( x - 8 )( x + 5 ) =
( x^2 - 10x + 16 )( x + 5 ) =
x^3 - 10x^2 + 16x + 5x^2 - 50x + 80 =
x^3 + ( - 10 + 5 )x^2 + ( 16 - 50)x + 80 =
x^3 - 5x^2 - 34x + 80
18. The maintenance department ordered $3,450 worth of supplies from a valve and fitting supplier. The
supplier will allow a 15% discount because of the large order. How much will the maintenance department
have to pay for the supplies?
A. $2,932.50
B. $3,398.25
C. $3,406.45
D. $2,954.50
Answer:
A) [tex]\$\ 2932.5[/tex]
Step-by-step explanation:
One is given that a certain amount of money was allotted to be spent on supplies. However, there was a discount applied to the purchase. One is asked to find the amount of money actually spent on the supplies.
$3450 was the initial price that was to be spent on supplies, however, a (15%) discount was applied to this price. Subtract (15) from (100) to find the percent value that was actually spent on supplies.
[tex]100-15=85[/tex]
(85%) of the allotted money was actually spent on supplies. Now one has to find out the numerical value of the amount spent. Divide (85) by (100) and then multiply it by the amount of money allotted to the purchase, to fin the amount actually spent on the purchase.
[tex]3450*(\frac{85}{100})\\\\=3450*0.85\\\\=2932.5[/tex]
Segment addition and midpoints
N is the midpoint of MO and NO is 5, so MN would also be 5
MP = MN + NP = 5 + 9 = 14
X
1
2
3
4
P
0,2
0,3
?
0,1
Answer:
(0,4) will be point (P) at 3 because,
Step-by-step explanation:
by using newton interpolation method we can find P(0,4) at 3 .
